diff --git a/package.json b/package.json index 12a58573..f1a3f13f 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "music21j", - "version": "0.16.1", + "version": "0.16.2", "description": "A toolkit for computer-aided musicology, Javascript version", "main": "releases/music21.debug.js", "typings": "releases/src/main.d.ts", diff --git a/releases/music21.debug.js b/releases/music21.debug.js index 4a5b70b9..312afaeb 100644 --- a/releases/music21.debug.js +++ b/releases/music21.debug.js @@ -1,5 +1,5 @@ /** - * music21j version 0.16.1 built on 2024-06-11. + * music21j version 0.16.2 built on 2024-06-22. * Copyright (c) 2013-2024 Michael Scott Asato Cuthbert * BSD License, see LICENSE * @@ -13945,6 +13945,15 @@ class NotRest extends GeneralNote { this.activeVexflowNote = vfn; return vfn; } + vexflowAccidentalsAndDisplay(vfn) { + let _options = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {}; + super.vexflowAccidentalsAndDisplay(vfn, _options); + if (this.stemDirection === 'noStem') { + vfn.glyphProps.stem = false; + vfn.glyphProps.flag = false; + // vfn.render_options.stem_height = 0; + } + } } /* ------- Note ----------- */ /** @@ -14057,10 +14066,7 @@ class Note extends NotRest { if (_debug__WEBPACK_IMPORTED_MODULE_8__.debug) { console.log(this.stemDirection); } - if (this.stemDirection === 'noStem') { - vfn.glyphProps.stem = false; - // vfn.render_options.stem_height = 0; - } else { + if (this.stemDirection !== 'noStem') { // correct VexFlow stem length for notes far from the center line; let staveDNNSpacing = 5; if (stave !== undefined) { @@ -21349,6 +21355,17 @@ function setStemDirectionForUnspecified(s) { single_clef_context = s.getContextByClass(_clef__WEBPACK_IMPORTED_MODULE_2__.Clef); } for (const n of s.rc(_note__WEBPACK_IMPORTED_MODULE_3__.NotRest)) { + if (n.pitches.length > 1) { + const pitchSet = new Set(n.pitches.map(p => p.diatonicNoteNum)); + if (pitchSet.size < n.pitches.length) { + // bug in Vexflow v4 at least -- chords with augmented seconds + // and down stems do no render properly. + // set their stems to 'unspecified' which Vexflow will currently + // render as upstems. + n.stemDirection = 'unspecified'; + continue; + } + } if (n.stemDirection !== 'unspecified') { continue; } @@ -21366,6 +21383,9 @@ function setStemDirectionForUnspecified(s) { } const _up_down = ['up', 'down']; const _up_down_unspecified = ['up', 'down', 'unspecified']; +/** + * Set stem directions for all notes in a beam group. + */ function setStemDirectionOneGroup(group) { let { setNewStems = true, diff --git a/releases/music21.debug.js.map b/releases/music21.debug.js.map index df248dfa..ecf9562e 100644 --- a/releases/music21.debug.js.map +++ b/releases/music21.debug.js.map @@ -1 +1 @@ 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'./common';\nimport * as prebase from './prebase';\n\nexport enum ArticulationPlacement {\n ABOVE = 'above',\n BELOW = 'below',\n LEFT = 'left',\n RIGHT = 'right',\n STEM_SIDE = 'stemSide',\n NOTE_SIDE = 'noteSide',\n}\n\nexport const ArticulationPlacementToVexFlowModifierPosition = new Map(\n [\n [ArticulationPlacement.ABOVE, VFModifier.Position.ABOVE],\n [ArticulationPlacement.BELOW, VFModifier.Position.BELOW],\n [ArticulationPlacement.LEFT, VFModifier.Position.LEFT],\n [ArticulationPlacement.RIGHT, VFModifier.Position.RIGHT],\n ]\n);\n\nexport interface VexflowArticulationParams {\n stemDirection?: string;\n}\n\n/**\n * This works the same for music21 Articulations and Expressions\n */\nexport function setPlacementOnVexFlowArticulation(\n vfa: VFArticulation|VFOrnament,\n placement: ArticulationPlacement,\n stemDirection: string,\n): void {\n if (placement === undefined) {\n return;\n }\n if ((!stemDirection || stemDirection === 'none')\n && (placement === ArticulationPlacement.STEM_SIDE\n || placement === ArticulationPlacement.NOTE_SIDE)) {\n placement = ArticulationPlacement.ABOVE;\n }\n if (placement === ArticulationPlacement.STEM_SIDE) {\n if (stemDirection === 'up') {\n placement = ArticulationPlacement.ABOVE;\n } else {\n placement = ArticulationPlacement.BELOW;\n }\n } else if (placement === ArticulationPlacement.NOTE_SIDE) {\n if (stemDirection === 'up') {\n placement = ArticulationPlacement.BELOW;\n } else {\n placement = ArticulationPlacement.ABOVE;\n }\n }\n if (ArticulationPlacementToVexFlowModifierPosition.has(placement)) {\n vfa.setPosition(ArticulationPlacementToVexFlowModifierPosition.get(placement));\n }\n}\n\n/**\n * Represents a single articulation, usually in the `.articulations` Array\n * on a music21.note.Note or something like that.\n *\n * @property {string} name\n * @property {string} [placement='above']\n * @property {string|undefined} vexflowModifier - the string code to get this accidental in Vexflow\n * @property {number} [dynamicScale=1.0] - multiplier for the dynamic of a note that this is attached to\n * @property {number} [lengthScale=1.0] - multiplier for the length of a note that this is attached to.\n */\nexport class Articulation extends prebase.ProtoM21Object {\n static get className() { return 'music21.articulation.Articulation'; }\n\n name: string;\n placement: ArticulationPlacement = ArticulationPlacement.NOTE_SIDE;\n vexflowModifier: string;\n dynamicScale: number = 1.0;\n lengthScale: number = 1.0;\n\n /**\n * Generates a Vex.Flow.Articulation for this articulation.\n */\n vexflow({stemDirection}: VexflowArticulationParams = {}): VFArticulation {\n const vfa = new VFArticulation(this.vexflowModifier);\n setPlacementOnVexFlowArticulation(vfa, this.placement, stemDirection);\n return vfa;\n }\n}\n\n/**\n * base class for articulations that change the length of a note...\n */\nexport class LengthArticulation extends Articulation {\n static get className() { return 'music21.articulation.LengthArticulation'; }\n\n constructor() {\n super();\n this.name = 'length-articulation';\n }\n}\n\n/**\n * base class for articulations that change the dynamic of a note...\n */\nexport class DynamicArticulation extends Articulation {\n static get className() { return 'music21.articulation.DynamicArticulation'; }\n\n constructor() {\n super();\n this.name = 'dynamic-articulation';\n }\n}\n\n/**\n * base class for articulations that change the pitch of a note...\n */\nexport class PitchArticulation extends Articulation {\n static get className() { return 'music21.articulation.PitchArticulation'; }\n\n constructor() {\n super();\n this.name = 'pitch-articulation';\n }\n}\n\n/**\n * base class for articulations that change the timbre of a note...\n */\nexport class TimbreArticulation extends Articulation {\n static get className() { return 'music21.articulation.TimbreArticulation'; }\n\n constructor() {\n super();\n this.name = 'timbre-articulation';\n }\n}\n\n/**\n * 50% louder than usual\n */\nexport class Accent extends DynamicArticulation {\n static get className() { return 'music21.articulation.Accent'; }\n\n constructor() {\n super();\n this.name = 'accent';\n this.vexflowModifier = 'a>';\n this.dynamicScale = 1.5;\n }\n}\n\n/**\n * 100% louder than usual\n */\nexport class StrongAccent extends Accent {\n static get className() { return 'music21.articulation.StrongAccent'; }\n\n constructor() {\n super();\n this.name = 'strong accent';\n this.vexflowModifier = 'a^';\n this.dynamicScale = 2.0;\n }\n}\n\n/**\n * no playback for now.\n */\nexport class Staccato extends LengthArticulation {\n static get className() { return 'music21.articulation.Staccato'; }\n\n constructor() {\n super();\n this.name = 'staccato';\n this.vexflowModifier = 'a.';\n }\n}\n\n/**\n * no playback for now.\n */\nexport class Staccatissimo extends Staccato {\n static get className() { return 'music21.articulation.Staccatissimo'; }\n\n constructor() {\n super();\n this.name = 'staccatissimo';\n this.vexflowModifier = 'av';\n }\n}\n\n/**\n * no playback or display for now.\n */\nexport class Spiccato extends Staccato {\n static get className() { return 'music21.articulation.Spiccato'; }\n\n constructor() {\n super();\n this.name = 'spiccato';\n this.vexflowModifier = undefined;\n }\n}\n\n/**\n * should be both a DynamicArticulation and a LengthArticulation\n * TODO(msc): check that `.classes` reflects that in music21j\n */\nexport class Marcato extends DynamicArticulation {\n static get className() { return 'music21.articulation.Marcato'; }\n\n constructor() {\n super();\n common.mixin(LengthArticulation, this);\n this.name = 'marcato';\n this.vexflowModifier = 'a^';\n this.dynamicScale = 1.7;\n }\n}\n\nexport class Tenuto extends LengthArticulation {\n static get className() { return 'music21.articulation.Tenuto'; }\n\n constructor() {\n super();\n this.name = 'tenuto';\n this.vexflowModifier = 'a-';\n }\n}\n","import * as audioSearch from './audioSearch';\n\ninterface RecorderConfig {\n bufferLen?: number,\n callback?: Function,\n type?: string,\n}\n\ninterface CanvasInfo {\n id: string,\n width: number,\n height: number,\n canvasContext: CanvasRenderingContext2D,\n animationFrameID?: number,\n}\n\n/**\n * Adopted from Matt Diamond's recorder.js code MIT License\n */\nexport class Recorder {\n bufferLen: number;\n config: RecorderConfig;\n recording: boolean = false;\n currCallback;\n audioContext: AudioContext; // or webkitAudioContext in Safari\n frequencyCanvasInfo: CanvasInfo;\n waveformCanvasInfo: CanvasInfo;\n analyserNode: any;\n context: BaseAudioContext;\n worker: Worker;\n node: ScriptProcessorNode;\n\n constructor(cfg: RecorderConfig = {}) {\n const config = cfg || {};\n this.bufferLen = config.bufferLen || 4096;\n this.config = config;\n this.recording = false;\n this.currCallback = undefined;\n this.audioContext = audioSearch.config.audioContext;\n this.frequencyCanvasInfo = {\n id: 'frequencyAnalyser',\n width: undefined,\n height: undefined,\n canvasContext: undefined,\n animationFrameID: undefined,\n };\n this.waveformCanvasInfo = {\n id: 'waveformCanvas',\n width: undefined,\n height: undefined,\n canvasContext: undefined,\n };\n this.analyserNode = undefined;\n /**\n *\n * @type {BaseAudioContext|undefined}\n */\n this.context = undefined;\n\n }\n\n /**\n * Start here -- polyfills navigator, runs getUserMedia and then sends to audioStreamConnected\n */\n initAudio() {\n const constraints: MediaStreamConstraints = {\n audio: {\n echoCancellation: false,\n autoGainControl: false,\n noiseSuppression: false,\n },\n video: false,\n };\n\n navigator.mediaDevices.getUserMedia(constraints)\n .then(s => this.audioStreamConnected(s))\n .catch(error => {\n console.log('Error getting audio -- try on google Chrome?');\n console.log(error);\n });\n }\n\n /**\n * After the user has given permission to record, this method is called.\n * It creates a gain point, and then connects the input source to the gain.\n * It connects an analyserNode (fftSize 2048) to the gain.\n *\n * It creates a second gain of 0.0 connected to the destination, so that\n * we're not hearing what we're playing in in an infinite loop (SUCKS to turn this off...)\n *\n * And it calls this.connectSource on the inputPoint so that\n * we can do something with all these wonderful inputs.\n */\n audioStreamConnected(stream): void {\n const inputPoint: GainNode = this.audioContext.createGain();\n\n // Create an AudioNode from the stream.\n const audioInput = this.audioContext.createMediaStreamSource(stream);\n audioInput.connect(inputPoint);\n\n const analyserNode = this.audioContext.createAnalyser();\n analyserNode.fftSize = audioSearch.config.fftSize;\n this.analyserNode = analyserNode;\n inputPoint.connect(analyserNode);\n\n this.connectSource(inputPoint);\n\n const zeroGain = this.audioContext.createGain();\n zeroGain.gain.value = 0.0;\n inputPoint.connect(zeroGain);\n zeroGain.connect(this.audioContext.destination);\n }\n\n /**\n * Creates a worker to receive and process all the messages asynchronously.\n */\n connectSource(source: GainNode): void {\n const context: BaseAudioContext = source.context;\n this.context = context;\n this.setNode();\n\n // create a Worker with inline code...\n const workerBlob = new Blob(['(', recorderWorkerJs, ')()'], {\n type: 'application/javascript',\n });\n const workerURL = URL.createObjectURL(workerBlob);\n this.worker = new Worker(workerURL);\n /**\n * When worker sends a message, we just send it to the currentCallback...\n */\n this.worker.onmessage = e => {\n const blob = e.data;\n this.currCallback(blob);\n };\n URL.revokeObjectURL(workerURL);\n\n this.worker.postMessage({\n command: 'init',\n config: {\n sampleRate: this.context.sampleRate,\n },\n });\n\n /**\n * Whenever the ScriptProcessorNode receives enough audio to process\n * (i.e., this.bufferLen stereo samples; default 4096), then it calls onaudioprocess\n * which is set up to send the event's .getChannelData to the WebWorker via a\n * postMessage.\n *\n * The 'record' command sends no message back.\n */\n // should be replaced by workers somehow.\n this.node.onaudioprocess = e => {\n if (!this.recording) {\n return;\n }\n this.worker.postMessage({\n command: 'record',\n buffer: [\n e.inputBuffer.getChannelData(0),\n e.inputBuffer.getChannelData(1),\n ],\n });\n };\n\n source.connect(this.node);\n\n /**\n * polyfill for Chrome error.\n *\n * if the ScriptProcessorNode (this.node) is not connected to an output\n * the \"onaudioprocess\" event is not triggered in Chrome.\n */\n this.node.connect(this.context.destination);\n }\n\n /**\n * Creates a ScriptProcessorNode (preferably) to allow for direct audio processing.\n *\n * Sets it to this.node and returns it.\n */\n setNode() {\n const numInputChannels = 2;\n const numOutputChannels = 2;\n this.node = this.context.createScriptProcessor(\n this.bufferLen,\n numInputChannels,\n numOutputChannels\n );\n return this.node;\n }\n\n /**\n * Configure from another source...\n */\n configure(cfg): void {\n for (const prop in cfg) {\n if (Object.hasOwnProperty.call(cfg, prop)) {\n this.config[prop] = cfg[prop];\n }\n }\n }\n\n record(): void {\n this.recording = true;\n }\n\n stop(): void {\n this.recording = false;\n }\n\n clear(): void {\n this.worker.postMessage({ command: 'clear' });\n }\n\n /**\n * Directly get the buffers from the worker and then call cb.\n */\n getBuffers(cb): void {\n this.currCallback = cb || this.config.callback;\n this.worker.postMessage({ command: 'getBuffers' });\n }\n\n /**\n * call exportWAV or exportMonoWAV on the worker, then call cb or (if undefined) setupDownload.\n */\n exportWAV(cb, type, isMono): void {\n let command = 'exportWAV';\n if (isMono === true) {\n // default false\n command = 'exportMonoWAV';\n }\n this.currCallback = cb || this.config.callback;\n type = type || this.config.type || 'audio/wav';\n if (!this.currCallback) {\n this.currCallback = blob => {\n this.setupDownload(\n blob,\n 'myRecording' + Date.now().toString() + '.wav'\n );\n };\n }\n this.worker.postMessage({\n command,\n type,\n });\n }\n\n exportMonoWAV(cb, type): void {\n this.exportWAV(cb, type, true);\n }\n\n setupDownload(\n blob,\n filename: string = 'output.wav',\n elementId: string = 'save'\n ): void {\n const url = (window.URL || window.webkitURL).createObjectURL(blob);\n const link = document.getElementById(elementId);\n link.href = url;\n link.download = filename;\n }\n\n setContextForCanvasInfo(canvasInfo: CanvasInfo): void {\n if (canvasInfo.canvasContext) {\n return;\n }\n const canvas = document.getElementById(canvasInfo.id);\n if (!canvas) {\n return;\n }\n canvasInfo.width = canvas.width;\n canvasInfo.height = canvas.height;\n canvasInfo.canvasContext = canvas.getContext('2d');\n }\n\n /**\n * Update the Analysers.\n */\n updateAnalysers(time: number): void {\n this.setContextForCanvasInfo(this.frequencyCanvasInfo);\n // analyser draw code here\n const SPACING = 3;\n const BAR_WIDTH = 1;\n const numBars = Math.round(this.frequencyCanvasInfo.width / SPACING);\n const freqByteData = new Uint8Array(\n this.analyserNode.frequencyBinCount\n );\n\n this.analyserNode.getByteFrequencyData(freqByteData);\n\n const canvasContext = this.frequencyCanvasInfo.canvasContext;\n canvasContext.clearRect(\n 0,\n 0,\n this.frequencyCanvasInfo.width,\n this.frequencyCanvasInfo.height\n );\n canvasContext.fillStyle = '#F6D565';\n canvasContext.lineCap = 'round';\n const multiplier = this.analyserNode.frequencyBinCount / numBars;\n\n // Draw rectangle for each frequency bin.\n for (let i = 0; i < numBars; ++i) {\n let magnitude = 0;\n const offset = Math.floor(i * multiplier);\n for (let j = 0; j < multiplier; j++) {\n magnitude += freqByteData[offset + j];\n }\n magnitude\n = magnitude\n * (this.frequencyCanvasInfo.height / 256)\n / multiplier;\n canvasContext.fillStyle\n = 'hsl( ' + Math.round(i * 360 / numBars) + ', 100%, 50%)';\n canvasContext.fillRect(\n i * SPACING,\n this.frequencyCanvasInfo.height,\n BAR_WIDTH,\n -1 * magnitude\n );\n }\n\n this.frequencyCanvasInfo.animationFrameID = window.requestAnimationFrame(\n t => this.updateAnalysers(t)\n );\n }\n\n drawWaveformCanvas(buffers: number[][]): void {\n const data = buffers[0]; // one track of stereo recording.\n this.setContextForCanvasInfo(this.waveformCanvasInfo);\n const context = this.waveformCanvasInfo.canvasContext;\n const step = Math.ceil(data.length / this.waveformCanvasInfo.width);\n const amp = this.waveformCanvasInfo.height / 2;\n context.fillStyle = 'silver';\n context.clearRect(\n 0,\n 0,\n this.waveformCanvasInfo.width,\n this.waveformCanvasInfo.height\n );\n for (let i = 0; i < this.waveformCanvasInfo.width; i++) {\n let min = 1.0;\n let max = -1.0;\n for (let j = 0; j < step; j++) {\n const datum = data[i * step + j];\n if (datum < min) {\n min = datum;\n }\n if (datum > max) {\n max = datum;\n }\n }\n context.fillRect(\n i,\n (1 + min) * amp,\n 1,\n Math.max(1, (max - min) * amp)\n );\n }\n }\n\n /**\n * set this as a callback from getBuffers. Returns the source so that a stop() command\n * is possible.\n */\n playBuffers(buffers: number[][]): AudioBufferSourceNode {\n const channels = 2;\n const numFrames = buffers[0].length;\n const audioBuffer = this.context.createBuffer(\n channels,\n numFrames,\n this.context.sampleRate\n );\n for (let channel = 0; channel < channels; channel++) {\n const thisChannelBuffer = audioBuffer.getChannelData(channel);\n for (let i = 0; i < numFrames; i++) {\n thisChannelBuffer[i] = buffers[channel][i];\n }\n }\n const source = this.context.createBufferSource();\n source.buffer = audioBuffer;\n source.connect(this.context.destination);\n source.start();\n return source;\n }\n}\n\n/**\n * This code does NOT go through babel, so no arrow functions, let, const, etc.\n */\nconst recorderWorkerJs = `function recorderWorkerJs() {\n /**\n *\n * Rewritten from Matt Diamond's recorderWorker -- MIT License\n */\n RecorderWorker = function RecorderWorker(parentContext) {\n this.parent = parentContext;\n this.recLength = 0;\n this.recBuffersL = [];\n this.recBuffersR = [];\n this.sampleRate = undefined;\n };\n RecorderWorker.prototype.onmessage = function onmessage(e) {\n switch (e.data.command) {\n case 'init':\n this.init(e.data.config);\n break;\n case 'record':\n this.record(e.data.buffer);\n break;\n case 'exportWAV':\n this.exportWAV(e.data.type);\n break;\n case 'exportMonoWAV':\n this.exportMonoWAV(e.data.type);\n break;\n case 'getBuffers':\n this.getBuffers();\n break;\n case 'clear':\n this.clear();\n break;\n default:\n break;\n }\n };\n RecorderWorker.prototype.postMessage = function postMessage(msg) {\n this.parent.postMessage(msg);\n };\n\n RecorderWorker.prototype.init = function init(config) {\n this.sampleRate = config.sampleRate;\n };\n\n RecorderWorker.prototype.record = function record(inputBuffer) {\n var inputBufferL = inputBuffer[0];\n var inputBufferR = inputBuffer[1];\n this.recBuffersL.push(inputBufferL);\n this.recBuffersR.push(inputBufferR);\n this.recLength += inputBufferL.length;\n };\n\n RecorderWorker.prototype.exportWAV = function exportWAV(type) {\n var bufferL = this.mergeBuffers(this.recBuffersL);\n var bufferR = this.mergeBuffers(this.recBuffersR);\n var interleaved = this.interleave(bufferL, bufferR);\n var dataview = this.encodeWAV(interleaved);\n var audioBlob = new Blob([dataview], { 'type': type });\n\n this.postMessage(audioBlob);\n };\n\n RecorderWorker.prototype.exportMonoWAV = function exportMonoWAV(type) {\n var bufferL = this.mergeBuffers(this.recBuffersL);\n var dataview = this.encodeWAV(bufferL);\n var audioBlob = new Blob([dataview], { 'type': type });\n\n this.postMessage(audioBlob);\n };\n\n RecorderWorker.prototype.mergeBuffers = function mergeBuffers(recBuffers) {\n var result = new Float32Array(this.recLength);\n var offset = 0;\n for (var i = 0; i < recBuffers.length; i++) {\n result.set(recBuffers[i], offset);\n offset += recBuffers[i].length;\n }\n return result;\n };\n\n RecorderWorker.prototype.getBuffers = function getBuffers() {\n var buffers = [];\n buffers.push(this.mergeBuffers(this.recBuffersL));\n buffers.push(this.mergeBuffers(this.recBuffersR));\n this.postMessage(buffers);\n };\n\n RecorderWorker.prototype.clear = function clear() {\n this.recLength = 0;\n this.recBuffersL = [];\n this.recBuffersR = [];\n }\n\n RecorderWorker.prototype.interleave = function interleave(inputL, inputR) {\n var combinedLength = inputL.length + inputR.length;\n var result = new Float32Array(combinedLength);\n\n var index = 0;\n var inputIndex = 0;\n\n while (index < combinedLength) {\n result[index++] = inputL[inputIndex];\n result[index++] = inputR[inputIndex];\n inputIndex++;\n }\n return result;\n }\n RecorderWorker.prototype.encodeWAV = function encodeWAV(samples, mono) {\n var buffer = new ArrayBuffer(44 + (samples.length * 2));\n var view = new DataView(buffer);\n\n /* RIFF identifier */\n writeString(view, 0, 'RIFF');\n\n /* file length */\n view.setUint32(4, 32 + samples.length * 2, true);\n\n /* RIFF type */\n writeString(view, 8, 'WAVE');\n\n /* format chunk identifier */\n writeString(view, 12, 'fmt ');\n\n /* format chunk length */\n view.setUint32(16, 16, true);\n\n /* sample format (raw) */\n view.setUint16(20, 1, true);\n\n /* channel count */\n view.setUint16(22, mono ? 1 : 2, true);\n\n /* sample rate */\n view.setUint32(24, this.sampleRate, true);\n\n /* byte rate (sample rate * block align) */\n view.setUint32(28, this.sampleRate * 4, true);\n\n /* block align (channel count * bytes per sample) */\n view.setUint16(32, 4, true);\n\n /* bits per sample */\n view.setUint16(34, 16, true);\n\n /* data chunk identifier */\n writeString(view, 36, 'data');\n\n /* data chunk length */\n view.setUint32(40, samples.length * 2, true);\n\n floatTo16BitPCM(view, 44, samples);\n\n return view;\n }\n\n function floatTo16BitPCM(output, offset, input) {\n for (var i = 0; i < input.length; i++, offset += 2) {\n var s = Math.max(-1, Math.min(1, input[i]));\n output.setInt16(offset, s < 0 ? s * 0x8000 : s * 0x7FFF, true);\n }\n }\n\n function writeString(view, offset, string) {\n for (var i = 0; i < string.length; i++) {\n view.setUint8(offset + i, string.charCodeAt(i));\n }\n }\n\n var recordWorker = new RecorderWorker(this);\n this.onmessage = (function mainOnMessage(e) { recordWorker.onmessage(e) }).bind(this);\n}`;\n","/**\n * audioSearch module. See music21.audioSearch namespace\n */\nimport * as MIDI from 'midicube';\nimport * as common from './common';\n\n// functions based on the prototype created by Chris Wilson's MIT License version\n// and on Jordi Bartolome Guillen's audioSearch module for music21\n\n// TODO(msc): Rewrite as a class -- config is just a class in disguise\n\nclass _ConfigSingletonCreator {\n fftSize: number = 2048;\n AudioContextCaller: any;\n _audioContext: AudioContext = null;\n animationFrameCallbackId: number =-1;\n sampleBuffer: Float32Array = null;\n currentAnalyser;\n minFrequency: number = 55;\n maxFrequency: number =1050;\n pitchSmoothingSize: number =40;\n lastPitchClassesDetected: number[] = [];\n lastPitchesDetected: number[] = [];\n lastCentsDeviationsDetected: number[] = [];\n\n constructor() {\n this.AudioContextCaller = window.AudioContext || ( window).webkitAudioContext;\n }\n\n get audioContext() {\n if (this._audioContext !== null) {\n return this._audioContext;\n } else {\n // AudioContext should be a singleton, but MIDI reports loaded before it is!\n if (\n MIDI !== undefined\n && MIDI.WebAudio !== undefined\n && MIDI.WebAudio.getContext() !== undefined\n ) {\n ( window).globalAudioContext = MIDI.WebAudio.getContext();\n } else if (typeof ( window).globalAudioContext === 'undefined') {\n ( window).globalAudioContext = new this.AudioContextCaller();\n }\n this._audioContext = ( window).globalAudioContext;\n return this._audioContext;\n }\n }\n\n set audioContext(ac: AudioContext) {\n this._audioContext = ac;\n }\n}\n\nexport const config = new _ConfigSingletonCreator();\n\n/**\n * Note: audioRecording uses the newer getUserMedia routines, so\n * this should be ported to be similar to there.\n *\n * @param {Object} dictionary - optional dictionary to fill\n * @param {function} callback - callback on success\n * @param {function} error - callback on error\n */\nexport function getUserMedia(dictionary, callback, error): void {\n if (error === undefined) {\n /* eslint no-alert: \"off\"*/\n error = () => {\n alert(\n 'navigator.getUserMedia either not defined (Safari, IE) or denied.'\n );\n };\n }\n if (callback === undefined) {\n callback = mediaStream => {\n userMediaStarted(mediaStream);\n };\n }\n const n = navigator;\n // need to polyfill navigator, or binding problems are hard...\n // noinspection JSUnresolvedVariable\n n.getUserMedia\n = n.getUserMedia\n || n.webkitGetUserMedia\n || n.mozGetUserMedia\n || n.msGetUserMedia;\n\n if (n.getUserMedia === undefined) {\n error();\n }\n if (dictionary === undefined) {\n dictionary = {\n audio: {\n mandatory: {},\n optional: [],\n },\n };\n }\n n.getUserMedia(dictionary, callback, error);\n}\n\nexport function userMediaStarted(audioStream): void {\n /**\n * This function which patches Safari requires some time to get started\n * so we call it on object creation.\n */\n config.sampleBuffer = new Float32Array(config.fftSize / 2);\n const mediaStreamSource = config.audioContext.createMediaStreamSource(\n audioStream\n );\n const analyser = config.audioContext.createAnalyser();\n analyser.fftSize = config.fftSize;\n mediaStreamSource.connect(analyser);\n config.currentAnalyser = analyser;\n animateLoop();\n}\n\nexport const animateLoop = () => {\n config.currentAnalyser.getFloatTimeDomainData(\n config.sampleBuffer\n );\n // returns best frequency or -1\n const frequencyDetected = autoCorrelate(\n config.sampleBuffer,\n config.audioContext.sampleRate,\n config.minFrequency,\n config.maxFrequency\n );\n const retValue = sampleCallback(frequencyDetected);\n // callback can be anything.\n // noinspection JSIncompatibleTypesComparison\n if (retValue !== -1) {\n config.animationFrameCallbackId = window.requestAnimationFrame(\n animateLoop\n );\n }\n};\n\nexport function smoothPitchExtraction(frequency: number): [number, number] {\n if (frequency === -1) {\n config.lastPitchClassesDetected.shift();\n config.lastPitchesDetected.shift();\n config.lastCentsDeviationsDetected.shift();\n } else {\n const [midiNum, centsOff] = midiNumDiffFromFrequency(\n frequency\n );\n if (\n config.lastPitchClassesDetected.length\n > config.pitchSmoothingSize\n ) {\n config.lastPitchClassesDetected.shift();\n config.lastPitchesDetected.shift();\n config.lastCentsDeviationsDetected.shift();\n }\n config.lastPitchClassesDetected.push(midiNum % 12);\n config.lastPitchesDetected.push(midiNum);\n config.lastCentsDeviationsDetected.push(centsOff);\n }\n const mostCommonPitchClass = common.statisticalMode(\n config.lastPitchClassesDetected\n );\n if (mostCommonPitchClass === null) {\n return [-1, 0];\n }\n const pitchesMatchingClass = [];\n const centsMatchingClass = [];\n for (let i = 0; i < config.lastPitchClassesDetected.length; i++) {\n if (config.lastPitchClassesDetected[i] === mostCommonPitchClass) {\n pitchesMatchingClass.push(config.lastPitchesDetected[i]);\n centsMatchingClass.push(config.lastCentsDeviationsDetected[i]);\n }\n }\n const mostCommonPitch = common.statisticalMode(pitchesMatchingClass);\n\n // find cents difference; weighing more recent samples more...\n let totalSamplePoints = 0;\n let totalSample = 0;\n for (let j = 0; j < centsMatchingClass.length; j++) {\n const weight = (j ** 2) + 1;\n totalSample += weight * centsMatchingClass[j];\n totalSamplePoints += weight;\n }\n const centsOff = Math.floor(totalSample / totalSamplePoints);\n return [mostCommonPitch, centsOff];\n}\n\nexport function sampleCallback(frequency: number): number {\n // noinspection JSUnusedLocalSymbols\n const [unused_midiNum, unused_centsOff] = smoothPitchExtraction(\n frequency\n );\n return 0;\n}\n\n// from Chris Wilson. Replace with Jordi's\nexport function autoCorrelate(\n buf,\n sampleRate: number,\n minFrequency: number = 0,\n maxFrequency: number = undefined,\n) {\n const SIZE = buf.length;\n const MAX_SAMPLES = Math.floor(SIZE / 2);\n if (maxFrequency === undefined) {\n maxFrequency = sampleRate;\n }\n\n let best_offset = -1;\n let best_correlation = 0;\n let rms = 0;\n let foundGoodCorrelation = false;\n const correlations = new Array(MAX_SAMPLES);\n\n for (let i = 0; i < SIZE; i++) {\n const val = buf[i];\n rms += val * val;\n }\n rms = Math.sqrt(rms / SIZE);\n if (rms < 0.01) {\n return -1;\n } // not enough signal\n\n let lastCorrelation = 1;\n for (let offset = 0; offset < MAX_SAMPLES; offset++) {\n let correlation = 0;\n const offsetFrequency = sampleRate / offset;\n if (offsetFrequency < minFrequency) {\n break;\n }\n if (offsetFrequency > maxFrequency) {\n continue;\n }\n\n for (let i = 0; i < MAX_SAMPLES; i++) {\n correlation += Math.abs(buf[i] - buf[i + offset]);\n }\n correlation = 1 - correlation / MAX_SAMPLES;\n correlations[offset] = correlation; // store it, for the tweaking we need to do below.\n if (correlation > 0.9 && correlation > lastCorrelation) {\n foundGoodCorrelation = true;\n if (correlation > best_correlation) {\n best_correlation = correlation;\n best_offset = offset;\n }\n } else if (foundGoodCorrelation) {\n // short-circuit - we found a good correlation, then a bad one, so we'd just be seeing copies from here.\n // Now we need to tweak the offset - by interpolating between the values to the left and right of the\n // best offset, and shifting it a bit. This is complex, and HACKY in this code (happy to take PRs!) -\n // we need to do a curve fit on correlations[] around best_offset in order to better determine precise\n // (anti-aliased) offset.\n\n // we know best_offset >=1,\n // since foundGoodCorrelation cannot go to true until the second pass (offset=1), and\n // we can't drop into this clause until the following pass (else if).\n const shift\n = (correlations[best_offset + 1]\n - correlations[best_offset - 1])\n / correlations[best_offset];\n return sampleRate / (best_offset + 8 * shift);\n }\n lastCorrelation = correlation;\n }\n if (best_correlation > 0.01) {\n // console.log(\"f = \" + sampleRate/best_offset + \"Hz (rms: \" + rms + \" confidence: \" + best_correlation + \")\")\n return sampleRate / best_offset;\n }\n return -1;\n // var best_frequency = sampleRate/best_offset;\n}\n\nexport function midiNumDiffFromFrequency(\n frequency: number\n): [number, number] {\n const midiNumFloat = 12 * (Math.log2(frequency / 440)) + 69;\n const midiNum = Math.round(midiNumFloat);\n const centsOff = Math.round(100 * (midiNumFloat - midiNum));\n return [midiNum, centsOff];\n}\n","/**\n * music21j -- Javascript reimplementation of Core music21p features.\n * music21/bar -- Barline objects\n *\n * Copyright (c) 2013-24, Michael Scott Asato Cuthbert\n * Based on music21 (=music21p), Copyright (c) 2006-24, Michael Scott Asato Cuthbert\n *\n */\nimport * as base from './base';\nimport { Music21Exception } from './exceptions21';\n\nconst barTypeList = [\n 'regular', 'dotted', 'dashed', 'heavy', 'double', 'final',\n 'heavy-light', 'heavy-heavy', 'tick', 'short', 'none',\n];\nconst barTypeDict = {\n 'light-light': 'double',\n 'light-heavy': 'final',\n};\n\nconst reverseBarTypeDict = {\n 'double': 'light-light',\n 'final': 'light-heavy',\n};\n\nexport class BarException extends Music21Exception {}\n\nfunction typeToMusicXMLBarStyle(value: string): string {\n if (reverseBarTypeDict[value] !== undefined) {\n return reverseBarTypeDict[value];\n } else {\n return value;\n }\n}\n\nfunction standardizeBarType(value: string='regular'): string {\n value = value.toLowerCase();\n\n if (barTypeList.includes(value)) {\n return value;\n }\n if (barTypeDict[value] !== undefined) {\n return barTypeDict[value];\n }\n throw new BarException(`cannot process style: ${value}`);\n}\n\nexport class Barline extends base.Music21Object {\n _type: string;\n location: string;\n\n static get className() { return 'music21.bar.Barline'; }\n\n constructor(type='regular', location='right') {\n super();\n\n this.type = type;\n this.location = location; // left, right, middle, None\n }\n\n get type(): string {\n return this._type;\n }\n\n set type(v: string) {\n this._type = standardizeBarType(v);\n }\n\n musicXMLBarStyle(): string {\n return typeToMusicXMLBarStyle(this.type);\n }\n}\n\nexport default Barline;\n","/**\n * music21j -- Javascript reimplementation of Core music21p features.\n * music21/base -- objects in base in music21p routines\n *\n * does not load the other modules.\n *\n * Copyright (c) 2013-24, Michael Scott Asato Cuthbert\n * Based on music21 (=music21p), Copyright (c) 2006-24, Michael Scott Asato Cuthbert\n *\n * module for Music21Objects\n */\nimport * as common from './common';\nimport * as derivation from './derivation';\nimport * as duration from './duration';\nimport * as editorial from './editorial';\nimport * as prebase from './prebase';\nimport * as sites from './sites';\nimport * as style from './style';\nimport {Music21Exception} from './exceptions21';\n\n// imports for typing only\nimport type {Stream, Measure} from './stream';\nimport type {TimeSignature} from './meter';\nimport type {ClassFilterType} from './types';\n\ndeclare interface StreamRecursionLike {\n recursionType: string;\n}\n\n/**\n * Base class for any object that can be placed in a {@link Stream}.\n *\n * @property {Stream} [activeSite] - hardlink to a\n * {@link Stream} containing the element.\n * @property {number} classSortOrder - Default sort order for this class\n * (default 20; override in other classes). Lower numbered objects will sort\n * before other objects in the staff if priority and offset are the same.\n * @property {string[]} groups - An Array of strings representing group\n * (equivalent to css classes) to assign to the object. (default [])\n * @property {boolean} isMusic21Object - true\n * @property {boolean} isStream - false\n * @property {number} offset - offset from the beginning of the stream (in quarterLength)\n * @property {number} priority - The priority (lower = earlier or more left) for\n * elements at the same offset. (default 0)\n */\nexport class Music21Object extends prebase.ProtoM21Object {\n static get className() { return 'music21.base.Music21Object'; }\n\n classSortOrder: number = 20; // default;\n protected _activeSite: any;\n protected _activeSiteStoredOffset: number = 0;\n protected _naiveOffset: number = 0;\n // _derivation = undefined;\n protected _style: style.Style;\n protected _editorial: Record; // actually editorial.Editorial\n protected _duration: duration.Duration;\n protected _derivation: derivation.Derivation;\n protected _priority: number = 0;\n id: number|string = 0;\n groups: string[] = []; // custom object in m21p\n sites: sites.Sites;\n isMusic21Object: boolean = true;\n isStream: boolean = false;\n // beat, etc.\n // lots to do...\n\n protected static _styleClass: typeof style.Style = style.Style;\n\n constructor(_keywords={}) {\n super();\n this._duration = new duration.Duration(0.0);\n this.id = sites.getId(this);\n this.sites = new sites.Sites();\n this._cloneCallbacks._activeSite = false;\n this._cloneCallbacks._activeSiteStoredOffset = false;\n this._cloneCallbacks._derivation = (\n keyName,\n newObj: Music21Object,\n _deep,\n _memo,\n ) => {\n const newDerivation = new derivation.Derivation(newObj);\n newDerivation.origin = this;\n newDerivation.method = 'clone';\n newObj[keyName] = newDerivation;\n };\n\n // noinspection JSUnusedLocalSymbols\n this._cloneCallbacks.sites = (\n _keyName,\n newObj: Music21Object,\n _deep,\n _memo,\n ) => {\n newObj.sites = new sites.Sites();\n };\n }\n\n /**\n * Override clone on prebase to add a derivation.\n */\n clone(deep: boolean = true, memo=undefined): this {\n const ret: this = super.clone(deep, memo);\n const newDerivation = new derivation.Derivation(ret);\n newDerivation.origin = this;\n newDerivation.method = 'clone'; // '__deepcopy__' in m21p\n ret.derivation = newDerivation;\n return ret;\n }\n\n\n stringInfo(): string {\n let id16 = this.id;\n if (typeof id16 === 'number') {\n const idNumber = id16;\n id16 = idNumber.toString(16);\n while (id16.length < 4) {\n id16 = '0' + id16;\n }\n id16 = '0x' + id16;\n }\n return id16;\n }\n\n get activeSite() {\n return this._activeSite;\n }\n\n set activeSite(site) {\n if (site === undefined) {\n this._activeSite = undefined;\n this._activeSiteStoredOffset = undefined;\n } else {\n let offset: number;\n try {\n offset = site.elementOffset(this);\n } catch (e) {\n throw new sites.SitesException(\n 'activeSite cannot be set for an object not in the stream'\n );\n }\n this._activeSite = site;\n this._activeSiteStoredOffset = offset;\n }\n }\n\n get derivation(): derivation.Derivation {\n if (this._derivation === undefined) {\n this._derivation = new derivation.Derivation(this);\n }\n return this._derivation;\n }\n\n set derivation(newDerivation: derivation.Derivation) {\n this._derivation = newDerivation;\n }\n\n /**\n * Note that the editorial is typed as Record\n * but actually returns an editorial object\n */\n get editorial(): Record {\n if (this._editorial === undefined) {\n this._editorial = new editorial.Editorial();\n }\n return this._editorial;\n }\n\n set editorial(newEditorial: editorial.Editorial|Record) {\n this._editorial = newEditorial as any;\n }\n\n get hasEditorialInformation(): boolean {\n return (this._editorial !== undefined);\n }\n\n /**\n * Returns true if there is a style.Style object\n * already associated with this object, false otherwise.\n *\n * Calling .style on an object will always create a new\n * Style object, so even though a new Style object isn't too expensive\n * to create, this property helps to prevent creating new Styles more than\n * necessary.\n */\n get hasStyleInformation(): boolean {\n return (this._style !== undefined);\n }\n\n /**\n * Returns (or Creates and then Returns) the Style object\n * associated with this object, or sets a new\n * style object. Different classes might use\n * different Style objects because they might have different\n * style needs (such as text formatting or bezier positioning)\n *\n * Eventually will also query the groups to see if they have\n * any styles associated with them.\n */\n get style(): style.Style {\n if (!this.hasStyleInformation) {\n const StyleClass = this.constructor;\n this._style = new StyleClass();\n }\n return this._style;\n }\n\n set style(newStyle: style.Style) {\n this._style = newStyle;\n }\n\n\n get measureNumber() {\n if (this.activeSite !== undefined && this.activeSite.classes.includes('Measure')) {\n const activeMeasure = this.activeSite;\n return activeMeasure.number;\n } else {\n const m = this.sites.getObjByClass('Measure');\n if (m !== undefined) {\n return ( m).number;\n } else {\n return undefined;\n }\n }\n }\n\n /**\n * Try to obtain the nearest Measure that contains this object,\n and return the offset of this object within that Measure.\n\n If a Measure is found, and that Measure has padding\n defined as `paddingLeft` (for pickup measures, etc.), padding will be added to the\n native offset gathered from the object.\n\n */\n _getMeasureOffset(\n {includeMeasurePadding = true}: {includeMeasurePadding?: boolean} = {}\n ): number {\n const activeS: Stream = this.activeSite;\n let offsetLocal: number;\n if (activeS !== undefined && activeS.isMeasure) {\n offsetLocal = activeS.elementOffset(this);\n if (includeMeasurePadding) {\n offsetLocal += (activeS as Measure).paddingLeft;\n }\n } else {\n const m: Measure = this.getContextByClass('Measure', {sortByCreationTime: true});\n if (m !== undefined) {\n try {\n offsetLocal = m.elementOffset(this);\n if (includeMeasurePadding) {\n offsetLocal += m.paddingLeft;\n }\n } catch (e) {\n offsetLocal = this.offset;\n }\n } else {\n offsetLocal = this.offset;\n }\n }\n return offsetLocal;\n }\n\n get offset(): number {\n if (this.activeSite === undefined) {\n return this._naiveOffset;\n } else {\n return this.activeSite.elementOffset(this);\n }\n }\n\n set offset(newOffset: number) {\n newOffset = common.opFrac(newOffset);\n if (this.activeSite === undefined) {\n this._naiveOffset = newOffset;\n } else {\n this.activeSite.setElementOffset(this, newOffset);\n }\n }\n\n get priority(): number {\n return this._priority;\n }\n\n set priority(p: number) {\n this._priority = p;\n }\n\n get duration(): duration.Duration {\n return this._duration;\n }\n\n set duration(newDuration: duration.Duration) {\n if (typeof newDuration === 'object') {\n this._duration = newDuration;\n // common errors below...\n } else if (typeof newDuration === 'number') {\n this._duration.quarterLength = newDuration;\n } else if (typeof newDuration === 'string') {\n this._duration.type = newDuration;\n }\n }\n\n get quarterLength(): number {\n return this.duration.quarterLength;\n }\n\n set quarterLength(ql: number) {\n this.duration.quarterLength = ql;\n }\n\n mergeAttributes(other: Music21Object): this {\n // id;\n this.groups = other.groups.slice();\n return this;\n }\n\n /**\n * Return the offset of this element in a given site -- use .offset if you are sure that\n * site === activeSite.\n *\n * Raises an Error if not in site.\n *\n * Does not change activeSite or .offset\n *\n * @param {Stream} site\n * @param {boolean} [stringReturns=false] -- allow strings to be returned\n * @returns {number|string|undefined}\n */\n getOffsetBySite(\n site: Stream|undefined = undefined,\n stringReturns: boolean=false\n ): number|string|undefined {\n if (site === undefined) {\n return this._naiveOffset;\n }\n return site.elementOffset(this, stringReturns);\n }\n\n /**\n * setOffsetBySite - sets the offset for a given Stream\n *\n * @param {Stream} site Stream object\n * @param {number} value offset\n */\n setOffsetBySite(\n site: Stream|undefined,\n value: number\n ) {\n if (site !== undefined) {\n site.setElementOffset(this, value);\n } else {\n this._naiveOffset = value;\n }\n }\n\n\n /**\n * For an element which may not be in site, but might be in a Stream\n * in site (or further in streams), find the cumulative offset of the\n * element in that site.\n *\n * See also music21.stream.iterator.RecursiveIterator.currentHierarchyOffset for\n * a method that is about 10x faster when running through a recursed stream.\n *\n * @param {Stream} site\n * @returns {number|undefined}\n */\n getOffsetInHierarchy(site: Stream): number|undefined {\n try {\n return this.getOffsetBySite(site);\n } catch (e) {} // eslint-disable-line no-empty\n // noinspection JSUnusedLocalSymbols\n for (const [csSite, csOffset, _csRecursionType] of this.contextSites()) {\n if (csSite === site) {\n return csOffset;\n }\n }\n throw new Error(`Element ${this} is not in hierarchy of ${site}`);\n }\n\n // ---------- Contexts -------------\n\n getContextByClass(\n className: ClassFilterType,\n options={}\n ) {\n const params = {\n getElementMethod: 'getElementAtOrBefore',\n sortByCreationTime: false,\n };\n common.merge(params, options);\n\n const getElementMethod = params.getElementMethod;\n const sortByCreationTime = params.sortByCreationTime;\n\n if (className !== undefined && !(className instanceof Array)) {\n className = [className as any];\n }\n\n if (\n getElementMethod.includes('At')\n && this.isClassOrSubclass(className)\n ) {\n return this;\n }\n\n for (const [site, positionStart, searchType] of this.contextSites({\n returnSortTuples: true,\n sortByCreationTime,\n })) {\n if (getElementMethod.includes('At')\n && site.isClassOrSubclass(className)) {\n return site;\n }\n\n if (searchType === 'elementsOnly' || searchType === 'elementsFirst') {\n const contextEl = getContextByClassPayloadExtractor(\n site,\n false,\n positionStart,\n getElementMethod,\n className\n );\n if (contextEl !== undefined) {\n return contextEl;\n }\n } else if (searchType !== 'elementsOnly') {\n if (getElementMethod.includes('After')\n && (className === undefined\n || site.isClassOrSubclass(className))) {\n if (!getElementMethod.includes('NotSelf')\n && this !== site) {\n return site;\n }\n }\n const contextEl = getContextByClassPayloadExtractor(\n site,\n 'semiFlat',\n positionStart,\n getElementMethod,\n className\n );\n if (contextEl !== undefined) {\n return contextEl;\n }\n if (getElementMethod.includes('Before')\n && (className === undefined\n || site.isClassOrSubclass(className))) {\n if (!getElementMethod.includes('NotSelf')\n || this !== site) {\n return site;\n }\n }\n }\n }\n\n return undefined;\n }\n\n * contextSites(options={}) {\n const params = {\n callerFirst: undefined,\n memo: new Map(),\n offsetAppend: 0.0,\n sortByCreationTime: false,\n priorityTarget: undefined,\n returnSortTuples: false,\n followDerivation: true,\n };\n common.merge(params, options);\n const memo = params.memo;\n if (params.callerFirst === undefined) {\n params.callerFirst = this;\n if (this.isStream && !(memo.has(this))) {\n const streamThis = this;\n const recursionType = streamThis.recursionType;\n yield [this, 0.0, recursionType];\n }\n memo.set(this, true);\n }\n\n if (params.priorityTarget === undefined && !params.sortByCreationTime) {\n params.priorityTarget = this.activeSite;\n }\n const topLevel = this;\n for (const siteObj of this.sites.yieldSites(\n params.sortByCreationTime,\n params.priorityTarget,\n true // excludeNone\n )) {\n if (memo.has(siteObj)) {\n continue;\n }\n if (siteObj.classes.includes('SpannerStorage')) {\n continue;\n }\n\n // let offset = this.getOffsetBySite(siteObj);\n // followDerivation;\n let offsetInStream: number;\n try {\n offsetInStream = siteObj.elementOffset(this);\n } catch (e) {\n console.error(`${this + ''} is not in ${siteObj + ''}`);\n continue;\n }\n\n const newOffset = offsetInStream + params.offsetAppend;\n const positionInStream = newOffset;\n const recursionType = siteObj.recursionType;\n yield [siteObj, positionInStream, recursionType];\n memo.set(siteObj, true);\n\n const newParams = {\n callerFirst: params.callerFirst,\n memo,\n offsetAppend: positionInStream, // .offset\n returnSortTuples: true, // always!\n sortByCreationTime: params.sortByCreationTime,\n };\n for (const [\n topLevelInner,\n inStreamPos,\n recurType\n ] of siteObj.contextSites(newParams)) {\n const inStreamOffset = inStreamPos; // .offset;\n // const hypotheticalPosition = inStreamOffset; // more complex w/ sortTuples\n\n if (!memo.has(topLevelInner)) {\n // if returnSortTuples...\n // else\n yield [topLevelInner, inStreamOffset, recurType];\n memo.set(topLevelInner, true);\n }\n }\n }\n // if followDerivation...\n if (params.followDerivation) {\n for (const derivedObject of topLevel.derivation.chain()) {\n for (const [derivedSite, derivedOffset, derivedRecurseType]\n of derivedObject.contextSites({\n callerFirst: undefined,\n memo,\n offsetAppend: 0.0,\n returnSortTuples: true,\n sortByCreationTime: params.sortByCreationTime,\n })) {\n const offsetAdjustedCsTuple = [\n derivedSite,\n derivedOffset + params.offsetAppend,\n derivedRecurseType,\n ];\n yield offsetAdjustedCsTuple;\n }\n }\n }\n }\n\n _getTimeSignatureForBeat(): TimeSignature {\n // note: getContextByClass does not full support BeforeOffset yet.\n const ts: TimeSignature = this.getContextByClass(\n 'TimeSignature',\n {getElementMethod: 'getElementAtOrBeforeOffset'},\n );\n if (ts === undefined) {\n throw new Music21Exception('this object does not have a TimeSignature in Sites');\n }\n return ts;\n }\n\n get beat(): number {\n try {\n const ts = this._getTimeSignatureForBeat();\n return ts.getBeatProportion(ts.getMeasureOffsetOrMeterModulusOffset(this));\n } catch (e) {\n return NaN;\n }\n }\n}\n\nfunction getContextByClassPayloadExtractor(\n useSite: Stream,\n flatten: boolean|string, // true, false, or semiflat\n positionStart: number,\n getElementMethod: string,\n classList: ClassFilterType,\n) {\n // this should all be done as a tree...\n // do not use .flat or .semiFlat so as not\n // to create new sites.\n\n // conflict between two linters requires setting lastElement to undefined.\n let lastElement = undefined; // eslint-disable-line no-undef-init\n const useSiteElements = useSite.elements; // we want sorting.\n\n for (let i = 0; i < useSiteElements.length; i++) {\n const thisElement = useSiteElements[i];\n const matchClass: boolean = thisElement.isClassOrSubclass(classList);\n if (flatten === false && !matchClass) {\n continue;\n } else if (!thisElement.isStream && !matchClass) {\n continue;\n }\n const indexOffset = useSite.elementOffset(thisElement);\n\n // thisElement is a stream or has the appropriate class...\n // first check normal elements\n if (getElementMethod.includes('Before')\n && indexOffset >= positionStart) {\n if (getElementMethod.includes('At')\n && lastElement === undefined) {\n lastElement = thisElement;\n } else if (lastElement !== undefined\n && lastElement.isClassOrSubclass(classList)) {\n lastElement.activeSite = useSite;\n return lastElement;\n } else if (matchClass) {\n thisElement.activeSite = useSite;\n return thisElement;\n }\n } else {\n lastElement = thisElement;\n }\n if (getElementMethod.includes('After')\n && indexOffset > positionStart\n && matchClass) {\n thisElement.activeSite = useSite;\n return thisElement;\n }\n // now check stream... already filtered out flatten == false;\n if (thisElement.isStream) {\n const potentialElement = getContextByClassPayloadExtractor(\n thisElement,\n flatten,\n positionStart + indexOffset,\n getElementMethod,\n classList\n );\n if (potentialElement !== undefined) {\n return potentialElement;\n }\n }\n }\n if (lastElement !== undefined && lastElement.isClassOrSubclass(classList)) {\n lastElement.activeSite = useSite;\n return lastElement;\n } else {\n return undefined;\n }\n}\n\n\n\n// TODO(msc) -- ElementWrapper\n\n","/**\n * music21j -- Javascript reimplementation of Core music21p features.\n * music21/beam -- Beams and Beam class\n *\n * Copyright (c) 2013-24, Michael Scott Asato Cuthbert\n * Based on music21 (=music21p), Copyright (c) 2006-24, Michael Scott Asato Cuthbert\n *\n * Module holding beam materials.\n *\n */\nimport { Music21Exception } from './exceptions21';\n\nimport * as prebase from './prebase';\nimport * as duration from './duration';\nimport type * as base from './base';\nimport type * as note from './note';\n\nexport const validBeamTypes = {\n start: true,\n stop: true,\n continue: true,\n partial: true,\n};\n\nexport const beamableDurationTypes = [\n duration.typeFromNumDict[8],\n duration.typeFromNumDict[16], duration.typeFromNumDict[32],\n duration.typeFromNumDict[64], duration.typeFromNumDict[128],\n duration.typeFromNumDict[256], duration.typeFromNumDict[512],\n duration.typeFromNumDict[1024], duration.typeFromNumDict[2048],\n];\n\n\n/**\n * Object representing a single beam (e.g., a 16th note that is beamed needs two)\n *\n * @param {string} type - \"start\", \"stop\", \"continue\", \"partial\"\n * @param {string} direction - only needed for partial beams: \"left\" or \"right\"\n * @property {number|undefined} number - which beam line does this refer to;\n * 8th = 1, 16th = 2, etc.\n * @property {number|undefined} independentAngle - the angle of this beam\n * if it is different than others (feathered beams)\n */\nexport class Beam extends prebase.ProtoM21Object {\n static get className() { return 'music21.beam.Beam'; }\n type: string;\n direction: string|undefined;\n number: number;\n independentAngle: number;\n\n constructor(type: string, direction=undefined) {\n super();\n this.type = type;\n this.direction = direction;\n }\n}\n\n/**\n * Object representing a collection of Beams\n *\n * @property {Beam[]} beamsList - a list of Beam objects\n * @property {boolean} [feathered=false] - is this a feathered beam.\n * @property {number} length - length of beamsList\n */\nexport class Beams extends prebase.ProtoM21Object {\n static get className() { return 'music21.beam.Beams'; }\n\n static naiveBeams(srcList: Iterable): Beams[] {\n const beamsList = [];\n for (const el of srcList) {\n if (!beamableDurationTypes.includes(el.duration.type)) {\n beamsList.push(undefined);\n } else if (( el).isRest) {\n beamsList.push(undefined);\n } else {\n const b = new Beams();\n b.fill(el.duration.type);\n beamsList.push(b);\n }\n }\n return beamsList;\n }\n\n static removeSandwichedUnbeamables(beamsList: Beams[]): Beams[] {\n let beamLast: Beams;\n let beamNext: Beams;\n for (let i = 0; i < beamsList.length; i++) {\n if (i !== beamsList.length - 1) {\n beamNext = beamsList[i + 1];\n } else {\n beamNext = undefined;\n }\n if (beamLast === undefined && beamNext === undefined) {\n beamsList[i] = undefined;\n }\n beamLast = beamsList[i];\n }\n return beamsList;\n }\n\n static sanitizePartialBeams(beamsList: Beams[]): Beams[] {\n for (let i = 0; i < beamsList.length; i++) {\n if (beamsList[i] === undefined) {\n continue;\n }\n const allTypes = beamsList[i].getTypes();\n if (!allTypes.includes('start')\n && !allTypes.includes('stop')\n && !allTypes.includes('continue')) {\n // nothing but partials;\n beamsList[i] = undefined;\n continue;\n }\n let hasStart = false;\n let hasStop = false;\n for (const b of beamsList[i].beamsList) {\n if (b.type === 'start') {\n hasStart = true;\n continue;\n }\n if (b.type === 'stop') {\n hasStop = true;\n continue;\n }\n if (hasStart && b.type === 'partial' && b.direction === 'left') {\n b.direction = 'right';\n } else if (hasStop && b.type === 'partial' && b.direction === 'right') {\n b.direction = 'left';\n }\n }\n }\n return beamsList;\n }\n\n static mergeConnectingPartialBeams(beamsList: Beams[]): Beams[] {\n for (let i = 0; i < beamsList.length - 1; i++) {\n const bThis = beamsList[i];\n const bNext = beamsList[i + 1];\n if (!bThis || !bNext) {\n continue;\n }\n const bThisNum = bThis.getNumbers();\n if (!bThisNum || bThisNum.length === 0) {\n continue;\n }\n for (const thisNum of bThisNum) {\n const thisBeam = bThis.getByNumber(thisNum);\n if (thisBeam.type !== 'partial' || thisBeam.direction !== 'right') {\n continue;\n }\n if (!(bNext.getNumbers().includes(thisNum))) {\n continue;\n }\n const nextBeam = bNext.getByNumber(thisNum);\n if (nextBeam.type === 'partial' || nextBeam.direction === 'right') {\n continue;\n }\n if (nextBeam.type === 'continue' || nextBeam.type === 'stop') {\n // should not happen.\n continue;\n }\n thisBeam.type = 'start';\n thisBeam.direction = undefined;\n if (nextBeam.type === 'partial') {\n nextBeam.type = 'stop';\n } else if (nextBeam.type === 'start') {\n nextBeam.type = 'continue';\n }\n nextBeam.direction = undefined;\n }\n }\n // now fix partial-lefts that follow stops:\n for (let i = 1; i < beamsList.length; i++) {\n const bThis = beamsList[i];\n const bPrev = beamsList[i - 1];\n if (!bThis || !bPrev) {\n continue;\n }\n const bThisNum = bThis.getNumbers();\n if (!bThisNum || bThisNum.length === 0) {\n continue;\n }\n for (const thisNum of bThisNum) {\n const thisBeam = bThis.getByNumber(thisNum);\n if (thisBeam.type !== 'partial' || thisBeam.direction !== 'left') {\n continue;\n }\n if (!(bPrev.getNumbers().includes(thisNum))) {\n continue;\n }\n const prevBeam = bPrev.getByNumber(thisNum);\n if (prevBeam.type !== 'stop') {\n continue;\n }\n thisBeam.type = 'stop';\n thisBeam.direction = undefined;\n prevBeam.type = 'continue';\n }\n }\n return beamsList;\n }\n\n beamsList: Beam[] = [];\n feathered: boolean = false;\n\n get length(): number {\n return this.beamsList.length;\n }\n\n /**\n * Append a new {@link Beam} object to this Beams, automatically creating the Beam\n * object and incrementing the number count.\n *\n * @param {string} type - the type (passed to {@link Beam})\n * @param {string} [direction=undefined] - the direction if type is \"partial\"\n * @returns {Beam} newly appended object\n */\n append(type: string, direction=undefined): Beam {\n const obj = new Beam(type, direction);\n obj.number = this.beamsList.length + 1;\n this.beamsList.push(obj);\n return obj;\n }\n\n /**\n * A quick way of setting the beams list for a particular duration, for\n instance, fill(\"16th\") will clear the current list of beams in the\n Beams object and add two beams. fill(2) will do the same (though note\n that that is an int, not a string).\n\n * It does not do anything to the direction that the beams are going in,\n or by default. Either set type here or call setAll() on the Beams\n object afterwards.\n\n * Both \"eighth\" and \"8th\" work. Adding more than 9 beams (i.e. things\n like 4096th notes) raises an error.\n\n * @param {string|number} level - either a string like \"eighth\" or a number like 1 (=\"eighth\")\n * @param {string} [type] - type to fill all beams to.\n * @returns {this}\n */\n fill(level: string|number, type: string|undefined = undefined): Beams {\n this.beamsList = [];\n let count = 1;\n if (\n level === 1\n || level === '8th'\n || level === duration.typeFromNumDict[8]\n ) {\n count = 1;\n } else if (level === 2 || level === duration.typeFromNumDict[16]) {\n count = 2;\n } else if (level === 3 || level === duration.typeFromNumDict[32]) {\n count = 3;\n } else if (level === 4 || level === duration.typeFromNumDict[64]) {\n count = 4;\n } else if (level === 5 || level === duration.typeFromNumDict[128]) {\n count = 5;\n } else if (level === 6 || level === duration.typeFromNumDict[256]) {\n count = 6;\n } else if (level === 7 || level === duration.typeFromNumDict[512]) {\n count = 7;\n } else if (level === 8 || level === duration.typeFromNumDict[1024]) {\n count = 8;\n } else if (level === 9 || level === duration.typeFromNumDict[2048]) {\n count = 9;\n } else {\n throw new Music21Exception('cannot fill beams for level ' + level);\n }\n for (let i = 1; i <= count; i++) {\n const obj = new Beam(type);\n obj.number = i;\n this.beamsList.push(obj);\n }\n return this;\n }\n\n /**\n * Get the beam with the given number or throw an exception.\n *\n * @param {number} number - the beam number to retrieve (usually one less than the position in `.beamsList`)\n * @returns {Beam|undefined}\n */\n getByNumber(number: number): Beam|undefined {\n if (!this.getNumbers().includes(number)) {\n throw new Music21Exception('beam number ' + number + ' cannot be accessed');\n }\n for (const thisBeam of this.beamsList) {\n if (thisBeam.number === number) {\n return thisBeam;\n }\n }\n return undefined;\n }\n\n /**\n * Get an Array of all the numbers for the beams\n *\n * @returns {Array} all the numbers\n */\n getNumbers(): number[] {\n const numbers = [];\n for (const thisBeam of this.beamsList) {\n numbers.push(thisBeam.number);\n }\n return numbers;\n }\n\n /**\n * Returns the type + \"-\" + direction (if direction is defined)\n * for the beam with the given number.\n *\n * @param {number} number\n * @returns {string|undefined}\n */\n getTypeByNumber(number: number): string|undefined {\n const beamObj = this.getByNumber(number);\n if (beamObj === undefined) {\n return undefined;\n }\n if (beamObj.direction === undefined) {\n return beamObj.type;\n } else {\n const x = beamObj.type + '-' + beamObj.direction;\n return x;\n }\n }\n\n /**\n * Get an Array of all the types for the beams\n *\n * @returns {Array} all the types\n */\n getTypes(): string[] {\n const types = [];\n for (let i = 0; i < this.length; i++) {\n types.push(this.beamsList[i].type);\n }\n return types;\n }\n\n /**\n * Set all the {@link Beam} objects to a given type/direction\n *\n * @param {string} type - beam type\n * @param {string} [direction] - beam direction\n * @returns {this}\n */\n setAll(type: string, direction: string = undefined): Beams {\n if (validBeamTypes[type] === undefined) {\n throw new Music21Exception('invalid beam type: ' + type);\n }\n for (let i = 0; i < this.length; i++) {\n const b = this.beamsList[i];\n b.type = type;\n b.direction = direction;\n }\n return this;\n }\n\n /**\n * Set the {@link Beam} object specified by `number` to a given type/direction\n *\n * @param {number} number\n * @param {string} type\n * @param {string} [direction]\n * @returns {this}\n */\n setByNumber(\n number: number,\n type: string,\n direction: string|undefined = undefined\n ): Beams {\n if (direction === undefined) {\n const splitIt = type.split('-');\n type = splitIt[0];\n direction = splitIt[1]; // not unpacking because. can be undefined...\n }\n if (validBeamTypes[type] === undefined) {\n throw new Music21Exception('invalid beam type: ' + type);\n }\n for (let i = 0; i < this.length; i++) {\n if (this.beamsList[i].number === number) {\n this.beamsList[i].type = type;\n this.beamsList[i].direction = direction;\n }\n }\n return this;\n }\n}\n","/**\n * music21j -- Javascript reimplementation of Core music21p features.\n * music21/chord -- Chord\n *\n * Copyright (c) 2013-24, Michael Scott Asato Cuthbert\n * Based on music21 (=music21p), Copyright (c) 2006-24, Michael Scott Asato Cuthbert\n *\n * Chord related objects (esp. music21.chord.Chord) and methods.\n *\n */\nimport { StaveNote as VFStaveNote } from 'vexflow';\nimport * as MIDI from 'midicube';\n\nimport { Music21Exception } from './exceptions21';\nimport * as interval from './interval';\nimport * as note from './note';\nimport * as chordTables from './chordTables';\n\n// imports for typing\nimport type * as clef from './clef';\nimport type * as instrument from './instrument';\nimport type * as pitch from './pitch';\nimport {VexflowNoteOptions} from './note';\n\nexport { chordTables };\n\n\n/**\n * @param {Array} [notes] -\n * an Array of strings\n * or pitch.Pitch objects.\n * @property {number} length - the number of pitches in the Chord (readonly)\n * @property {Pitch[]} pitches - an Array of Pitch objects in the\n * chord. (Consider the Array read only and pass in a new Array to change)\n * @property {Boolean} [isChord=true]\n * @property {Boolean} [isNote=false]\n * @property {Boolean} [isRest=false]\n */\nexport class Chord extends note.NotRest {\n static get className() { return 'music21.chord.Chord'; }\n\n protected _notes: note.Note[] = [];\n isChord = true; // for speed\n isNote = false; // for speed\n isRest = false; // for speed\n _overrides: any = {};\n _cache: any = {};\n protected _chordTablesAddress: any = undefined;\n protected _chordTablesAddressNeedsUpdating: boolean = true; // only update when needed\n\n constructor(notes?: string|string[]|note.Note|note.Note[]|pitch.Pitch|pitch.Pitch[]) {\n super();\n let arrayNotes: Array;\n if (typeof notes === 'undefined') {\n arrayNotes = [];\n } else if (typeof notes === 'string') {\n arrayNotes = notes.split(/\\s+/);\n } else if (!(notes instanceof Array)) {\n arrayNotes = [notes as (note.Note|pitch.Pitch)];\n } else {\n arrayNotes = notes;\n }\n\n for (const n of arrayNotes) {\n this.add(n, false);\n }\n if (arrayNotes.length > 0) {\n const n0 = arrayNotes[0];\n if (n0 instanceof note.Note) {\n if (n0.duration.quarterLength !== this.duration.quarterLength) {\n this.duration = n0.duration;\n }\n }\n }\n this.sortPitches();\n }\n\n stringInfo(): string {\n const info = this.pitches.map(x => x.nameWithOctave);\n return info.join(' ');\n }\n\n get length(): number {\n return this._notes.length;\n }\n\n // Typescript restriction... preventing full allowing of set pitches()\n // to take string[] or Note[].\n // https://github.com/microsoft/TypeScript/issues/2521\n get pitches(): pitch.Pitch[] {\n const tempPitches = [];\n for (const n of this._notes) {\n tempPitches.push(n.pitch);\n }\n return tempPitches;\n }\n\n set pitches(tempPitches: (pitch.Pitch|string|note.Note)[]) {\n this._notes = [];\n for (let i = 0; i < tempPitches.length; i++) {\n let addNote: note.Note;\n if (typeof tempPitches[i] === 'string') {\n addNote = new note.Note(tempPitches[i] as string);\n } else if ((tempPitches[i] as pitch.Pitch).isClassOrSubclass('Pitch')) {\n addNote = new note.Note();\n addNote.pitch = tempPitches[i] as pitch.Pitch;\n } else if ((tempPitches[i] as note.Note).isClassOrSubclass('Note')) {\n addNote = tempPitches[i] as note.Note;\n } else {\n console.warn('bad pitch', tempPitches[i]);\n throw new Music21Exception(\n 'Cannot add pitch from ' + tempPitches[i]\n );\n }\n this._notes.push(addNote);\n }\n this._cache = {};\n this._overrides = {};\n }\n\n get notes(): note.Note[] {\n return [...this._notes];\n }\n\n set notes(newNotes: note.Note[]) {\n this._notes = [...newNotes];\n this._cache = {};\n this._overrides = {};\n }\n\n vexflowNote(options: VexflowNoteOptions = {}): VFStaveNote {\n this.sortPitches();\n return super.vexflowNote(options);\n }\n\n get orderedPitchClasses(): number[] {\n const pcGroup = [];\n for (const p of this.pitches) {\n if (pcGroup.includes(p.pitchClass)) {\n continue;\n }\n pcGroup.push(p.pitchClass);\n }\n pcGroup.sort((a, b) => a - b);\n return pcGroup;\n }\n\n get chordTablesAddress() {\n if (this._chordTablesAddressNeedsUpdating) {\n this._chordTablesAddress = chordTables.seekChordTablesAddress(this);\n }\n this._chordTablesAddressNeedsUpdating = false;\n return this._chordTablesAddress;\n }\n\n get commonName(): string {\n // TODO: many more exemptions from music21p\n const cta = this.chordTablesAddress;\n const ctn = chordTables.addressToCommonNames(cta);\n const forteClass = this.forteClass;\n const enharmonicTests = {\n '3-11A': () => this.isMinorTriad(),\n '3-11B': () => this.isMajorTriad(),\n '3-10': () => this.isDiminishedTriad(),\n '3-12': () => this.isAugmentedTriad(),\n };\n if (enharmonicTests[forteClass] !== undefined) {\n let out = ctn[0];\n const test = enharmonicTests[forteClass];\n if (!test()) {\n out = 'enharmonic equivalent to ' + out;\n }\n return out;\n }\n\n if (ctn === undefined) {\n return '';\n } else {\n return ctn[0];\n }\n }\n\n get forteClass() {\n return chordTables.addressToForteName(this.chordTablesAddress, 'tn');\n }\n\n get forteClassNumber() {\n return this.chordTablesAddress.forteClass;\n }\n\n get forteClassTnI() {\n return chordTables.addressToForteName(this.chordTablesAddress, 'tni');\n }\n\n get(i: number): note.Note {\n if (typeof i === 'number') {\n return this._notes[i];\n } else {\n return undefined; // TODO(msc): add other get methods.\n }\n }\n\n * [Symbol.iterator]() {\n for (let i = 0; i < this.length; i++) {\n yield this.get(i);\n }\n }\n\n\n areZRelations(other: Chord): boolean {\n const zRelationAddress = chordTables.addressToZAddress(this.chordTablesAddress);\n if (zRelationAddress === undefined) {\n return false;\n }\n for (const key of ['cardinality', 'forteClass', 'inversion']) {\n if (other.chordTablesAddress[key] !== zRelationAddress[key]) {\n return false;\n }\n }\n return true;\n }\n\n getZRelation(): Chord {\n if (!this.hasZRelation) {\n return undefined;\n }\n const chordTablesAddress = this.chordTablesAddress;\n const v = chordTables.addressToIntervalVector(chordTablesAddress);\n const addresses = chordTables.intervalVectorToAddress(v);\n let other;\n for (const thisAddress of addresses) {\n if (thisAddress.forteClass !== chordTablesAddress.forteClass) {\n other = thisAddress;\n }\n }\n // other should always be defined;\n const prime = chordTables.addressToTransposedNormalForm(other);\n return new Chord(prime);\n }\n\n get hasZRelation(): boolean {\n const post = chordTables.addressToZAddress(this.chordTablesAddress);\n if (post !== undefined) {\n return true;\n } else {\n return false;\n }\n }\n\n get intervalVector() {\n return chordTables.addressToIntervalVector(this.chordTablesAddress);\n }\n\n // get intervalVectorString() {\n //\n // }\n //\n // static formatVectorString() {\n // // needs pitch._convertPitchClassToStr\n // }\n\n setStemDirectionFromClef(clef?: clef.Clef) {\n if (clef === undefined) {\n return this;\n } else {\n const midLine = clef.lowestLine + 4;\n // console.log(midLine, 'midLine');\n let maxDNNfromCenter = 0;\n const pA = this.pitches;\n for (let i = 0; i < this.pitches.length; i++) {\n const p = pA[i];\n const DNNfromCenter = p.diatonicNoteNum - midLine;\n // >= not > so that the highest pitch wins the tie and thus stem down.\n if (Math.abs(DNNfromCenter) >= Math.abs(maxDNNfromCenter)) {\n maxDNNfromCenter = DNNfromCenter;\n }\n }\n if (maxDNNfromCenter >= 0) {\n this.stemDirection = 'down';\n } else {\n this.stemDirection = 'up';\n }\n return this;\n }\n }\n\n /**\n * Adds a note or Array of notes to the chord, sorting the note array\n *\n * runSort - Sort after running (default true)\n */\n add(\n n: string|string[]|note.Note|note.Note[]|pitch.Pitch|pitch.Pitch[],\n runSort: boolean = true\n ): this {\n let notes: Array;\n if (!(n instanceof Array)) {\n notes = [ n];\n } else {\n notes = n;\n }\n for (const noteObj_StrOrNote of notes) {\n // takes in either a note or a pitch\n let noteObj: note.Note;\n if (typeof noteObj_StrOrNote === 'string') {\n noteObj = new note.Note(noteObj_StrOrNote);\n } else if (noteObj_StrOrNote.isClassOrSubclass('Pitch')) {\n const pitchObj = noteObj_StrOrNote;\n const noteObj2 = new note.Note();\n noteObj2.pitch = pitchObj as pitch.Pitch;\n noteObj = noteObj2;\n } else {\n noteObj = noteObj_StrOrNote as note.Note;\n }\n this._notes.push(noteObj);\n }\n // inefficient because sorts after each add, but safe and #(p) is small\n if (runSort === true) {\n this.sortPitches();\n }\n this._cache = {};\n return this;\n }\n\n sortPitches(): void {\n this._notes.sort((a: note.Note, b: note.Note) => {\n let diff: number = a.pitch.diatonicNoteNum - b.pitch.diatonicNoteNum;\n if (diff === 0) {\n diff = a.pitch.ps - b.pitch.ps;\n }\n return diff;\n });\n }\n\n // TODO: add remove\n\n /**\n * Removes any pitches that appear more than once (in any octave),\n * removing the higher ones, and returns a new Chord.\n *\n * returns A new Chord object with duplicate pitches removed.\n */\n removeDuplicatePitches(): Chord {\n const stepsFound = [];\n const nonDuplicatingPitches = [];\n const pitches = this.pitches;\n for (let i = 0; i < pitches.length; i++) {\n const p = pitches[i];\n if (stepsFound.indexOf(p.step) === -1) {\n stepsFound.push(p.step);\n nonDuplicatingPitches.push(p);\n }\n }\n const closedChord = new Chord(nonDuplicatingPitches);\n return closedChord;\n }\n\n /**\n * Finds the Root of the chord, or sets it as an override.\n */\n root(newroot?: pitch.Pitch): pitch.Pitch {\n if (newroot !== undefined) {\n this._overrides.root = newroot;\n this._cache.root = newroot;\n this._cache.inversion = undefined;\n }\n\n if (this._overrides.root !== undefined) {\n return this._overrides.root;\n }\n\n if (this._cache.root !== undefined) {\n return this._cache.root;\n }\n\n const closedChord = this.removeDuplicatePitches();\n /* var chordBass = closedChord.bass(); */\n const closedPitches = closedChord.pitches;\n if (closedPitches.length === 0) {\n throw new Music21Exception('No notes in Chord!');\n } else if (closedPitches.length === 1) {\n return this.pitches[0];\n }\n // const indexOfPitchesWithPerfectlyStackedThirds = [];\n const testSteps = [3, 5, 7, 2, 4, 6];\n for (let i = 0; i < closedPitches.length; i++) {\n const p = closedPitches[i];\n const currentListOfThirds = [];\n for (let tsIndex = 0; tsIndex < testSteps.length; tsIndex++) {\n const chordStepPitch = closedChord.getChordStep(\n testSteps[tsIndex],\n p\n );\n if (chordStepPitch !== undefined) {\n // console.log(p.name + \" \" + testSteps[tsIndex].toString() + \" \" + chordStepPitch.name);\n currentListOfThirds.push(true);\n } else {\n currentListOfThirds.push(false);\n }\n }\n // console.log(currentListOfThirds);\n let hasFalse = false;\n for (let j = 0; j < closedPitches.length - 1; j++) {\n if (currentListOfThirds[j] === false) {\n hasFalse = true;\n }\n }\n if (hasFalse === false) {\n // indexOfPitchesWithPerfectlyStackedThirds.push(i);\n return closedChord.pitches[i]; // should do more, but fine...\n // should test rootedness function, etc. 13ths. etc.\n }\n }\n const newRoot = closedChord.pitches[0]; // fallback, just return the bass...\n this._cache.root = newRoot;\n return newRoot;\n }\n\n /**\n * Returns the number of semitones above the root that a given chordstep is.\n *\n * For instance, in a G dominant 7th chord (G, B, D, F), would\n * return 4 for chordStep=3, since the third of the chord (B) is four semitones above G.\n *\n * chordStep - the step to find, e.g., 1, 2, 3, etc.\n * [testRoot] - the pitch to temporarily consider the root.\n * returns Number of semitones above the root for this\n * chord step or undefined if no pitch matches that chord step.\n */\n semitonesFromChordStep(chordStep: number, testRoot?: pitch.Pitch): number|undefined {\n if (testRoot === undefined) {\n testRoot = this.root();\n }\n const tempChordStep = this.getChordStep(chordStep, testRoot);\n if (tempChordStep === undefined) {\n return undefined;\n } else {\n let semitones = (tempChordStep.ps - testRoot.ps) % 12;\n if (semitones < 0) {\n semitones += 12;\n }\n return semitones;\n }\n }\n\n /**\n * Gets the lowest note (based on .ps not name) in the chord.\n *\n * return bass pitch or undefined\n */\n bass(newBass?: pitch.Pitch): pitch.Pitch|undefined {\n if (newBass !== undefined) {\n this._overrides.bass = newBass;\n this._cache.bass = newBass;\n this._cache.inversion = undefined;\n }\n\n if (this._overrides.bass !== undefined) {\n return this._overrides.bass;\n }\n\n if (this._cache.bass !== undefined) {\n return this._cache.bass;\n }\n\n let lowest: pitch.Pitch;\n const pitches = this.pitches;\n for (let i = 0; i < pitches.length; i++) {\n const p = pitches[i];\n if (lowest === undefined) {\n lowest = p;\n } else { // noinspection JSUnusedAssignment\n if (p.ps < lowest.ps) {\n lowest = p;\n }\n }\n }\n return lowest;\n }\n\n /**\n * Counts the number of non-duplicate pitch MIDI Numbers in the chord.\n *\n * Call after \"closedPosition()\" to get Forte style cardinality disregarding octave.\n */\n cardinality(): number {\n const uniqueChord = this.removeDuplicatePitches();\n return uniqueChord.pitches.length;\n }\n\n isMajorTriad(): boolean {\n if (this.cardinality() !== 3) {\n return false;\n }\n const thirdST = this.semitonesFromChordStep(3);\n const fifthST = this.semitonesFromChordStep(5);\n if (thirdST === 4 && fifthST === 7) {\n return true;\n } else {\n return false;\n }\n }\n\n isMinorTriad(): boolean {\n if (this.cardinality() !== 3) {\n return false;\n }\n const thirdST = this.semitonesFromChordStep(3);\n const fifthST = this.semitonesFromChordStep(5);\n if (thirdST === 3 && fifthST === 7) {\n return true;\n } else {\n return false;\n }\n }\n\n isDiminishedTriad(): boolean {\n if (this.cardinality() !== 3) {\n return false;\n }\n const thirdST = this.semitonesFromChordStep(3);\n const fifthST = this.semitonesFromChordStep(5);\n if (thirdST === 3 && fifthST === 6) {\n return true;\n } else {\n return false;\n }\n }\n\n isAugmentedTriad(): boolean {\n if (this.cardinality() !== 3) {\n return false;\n }\n const thirdST = this.semitonesFromChordStep(3);\n const fifthST = this.semitonesFromChordStep(5);\n if (thirdST === 4 && fifthST === 8) {\n return true;\n } else {\n return false;\n }\n }\n\n\n isDominantSeventh(): boolean {\n return this.isSeventhOfType([0, 4, 7, 10]);\n }\n\n isDiminishedSeventh(): boolean {\n return this.isSeventhOfType([0, 3, 6, 9]);\n }\n\n isSeventhOfType(intervalArray: number[]): boolean {\n const third = this.third;\n const fifth = this.fifth;\n const seventh = this.seventh;\n\n if (\n third === undefined\n || fifth === undefined\n || seventh === undefined\n ) {\n return false;\n }\n\n const root = this.root();\n\n for (const thisPitch of this.pitches) {\n const thisInterval = new interval.Interval(root, thisPitch);\n if (!intervalArray.includes(thisInterval.chromatic.mod12)) {\n return false;\n }\n // // check if it doesn't have any other pitches, such as C E F- G Bb != Dominant Seventh\n // if (!ignoreSpelling && !chordalNames.includes(thisPitch.name)) {\n // return false;\n // }\n }\n return true;\n\n\n }\n\n\n /**\n * canBeDominantV - Returns true if the chord is a Major Triad or a Dominant Seventh\n */\n canBeDominantV(): boolean {\n if (this.isMajorTriad() || this.isDominantSeventh()) {\n return true;\n } else {\n return false;\n }\n }\n\n /**\n * Returns true if the chord is a major or minor triad\n */\n canBeTonic(): boolean {\n if (this.isMajorTriad() || this.isMinorTriad()) {\n return true;\n } else {\n return false;\n }\n }\n\n /**\n * Returns the inversion of the chord as a number (root-position = 0)\n *\n * Unlike music21p version, cannot set the inversion, yet.\n *\n * TODO: add.\n */\n inversion(): number {\n const bass = this.bass();\n const root = this.root();\n const chordStepsToInversions = [1, 6, 4, 2, 7, 5, 3];\n for (let i = 0; i < chordStepsToInversions.length; i++) {\n const testNote = this.getChordStep(chordStepsToInversions[i], bass);\n if (testNote !== undefined && testNote.name === root.name) {\n return i;\n }\n }\n return undefined;\n }\n\n override playMidi(\n tempo: number = 120,\n nextElement = undefined,\n {\n instrument=undefined,\n channel=undefined,\n playLegato=false,\n }: {\n instrument?: instrument.Instrument,\n channel?: number,\n playLegato?: boolean,\n }={}\n ) {\n const milliseconds = super.playMidi(tempo, nextElement, { instrument, channel, playLegato });\n if (channel === undefined) {\n channel = this.activeChannel();\n }\n let midNum: number;\n const volume = this.midiVolume;\n // TODO: Tied Chords.\n for (let j = 0; j < this._notes.length; j++) {\n midNum = this._notes[j].pitch.midi;\n try {\n MIDI.noteOn(channel, midNum, volume, 0);\n MIDI.noteOff(channel, midNum, milliseconds / 1000);\n } catch (e) {\n // do nothing -- might not have an output channel because of audio not connected\n }\n }\n return milliseconds;\n }\n\n /**\n * Returns the Pitch object that is a Generic interval (2, 3, 4, etc., but not 9, 10, etc.) above\n * the `.root()`\n *\n * In case there is more than one note with that designation (e.g., `[A-C-C#-E].getChordStep(3)`)\n * the first one in `.pitches` is returned.\n */\n getChordStep(chordStep: number, testRoot?: pitch.Pitch): pitch.Pitch|undefined {\n if (testRoot === undefined) {\n testRoot = this.root();\n }\n if (chordStep >= 8) {\n chordStep %= 7;\n }\n const thisPitches = this.pitches;\n const testRootDNN = testRoot.diatonicNoteNum;\n for (let i = 0; i < thisPitches.length; i++) {\n const thisPitch = thisPitches[i];\n let thisInterval\n = (thisPitch.diatonicNoteNum - testRootDNN + 1) % 7; // fast kludge\n if (thisInterval <= 0) {\n thisInterval += 7;\n }\n if (thisInterval === chordStep) {\n return thisPitch;\n }\n }\n return undefined;\n }\n\n get third(): pitch.Pitch|undefined {\n return this.getChordStep(3);\n }\n\n get fifth(): pitch.Pitch|undefined {\n return this.getChordStep(5);\n }\n\n get seventh(): pitch.Pitch|undefined {\n return this.getChordStep(7);\n }\n}\n\nexport const chordDefinitions = {\n major: ['M3', 'm3'],\n minor: ['m3', 'M3'],\n diminished: ['m3', 'm3'],\n augmented: ['M3', 'M3'],\n 'major-seventh': ['M3', 'm3', 'M3'],\n 'dominant-seventh': ['M3', 'm3', 'm3'],\n 'minor-seventh': ['m3', 'M3', 'm3'],\n 'diminished-seventh': ['m3', 'm3', 'm3'],\n 'half-diminished-seventh': ['m3', 'm3', 'M3'],\n};\n","import { posMod, arrayEquals } from './common';\n\nlet t1;\nlet t2;\nlet t3;\nlet t4;\nlet t5;\nlet t6;\nlet t7;\nlet t8;\nlet t9;\nlet t10;\nlet t11;\nlet t12;\nlet t13;\nlet t14;\nlet t15;\nlet t16;\nlet t17;\nlet t18;\nlet t19;\nlet t20;\nlet t21;\nlet t22;\nlet t23;\nlet t24;\nlet t25;\nlet t26;\nlet t27;\nlet t28;\nlet t29;\nlet t30;\nlet t31;\nlet t32;\nlet t33;\nlet t34;\nlet t35;\nlet t36;\nlet t37;\nlet t38;\n\nt1 = [[0], [0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 11, 11, 11, 11], 0]; // 1-1\nconst monad = [undefined, t1];\n\nt1 = [[0, 1], [1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 9, 9, 8, 8], 0]; // 2-1\nt2 = [[0, 2], [0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 9, 9, 9, 9], 0]; // 2-2\nt3 = [[0, 3], [0, 0, 1, 0, 0, 0], [1, 1, 1, 1, 9, 9, 9, 9], 0]; // 2-3\nt4 = [[0, 4], [0, 0, 0, 1, 0, 0], [1, 1, 1, 1, 9, 9, 9, 9], 0]; // 2-4\nt5 = [[0, 5], [0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 9, 9, 8, 8], 0]; // 2-5\nt6 = [[0, 6], [0, 0, 0, 0, 0, 1], [2, 2, 2, 2, 10, 10, 10], 0]; // 2-6\nconst diad = [undefined, t1, t2, t3, t4, t5, t6];\n\nt1 = [[0, 1, 2], [2, 1, 0, 0, 0, 0], [1, 1, 0, 0, 7, 7, 4, 4], 0]; // 3-1\nt2 = [[0, 1, 3], [1, 1, 1, 0, 0, 0], [1, 0, 0, 0, 5, 6, 5, 5], 0]; // 3-2\nt3 = [[0, 1, 4], [1, 0, 1, 1, 0, 0], [1, 0, 0, 0, 5, 6, 5, 5], 0]; // 3-3\nt4 = [[0, 1, 5], [1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 5, 6, 5, 6], 0]; // 3-4\nt5 = [[0, 1, 6], [1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 6, 7, 7, 6], 0]; // 3-5\nt6 = [[0, 2, 4], [0, 2, 0, 1, 0, 0], [1, 1, 1, 1, 7, 7, 7, 7], 0]; // 3-6\nt7 = [[0, 2, 5], [0, 1, 1, 0, 1, 0], [1, 0, 0, 0, 5, 6, 5, 5], 0]; // 3-7\nt8 = [[0, 2, 6], [0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 6, 7, 7, 6], 0]; // 3-8\nt9 = [[0, 2, 7], [0, 1, 0, 0, 2, 0], [1, 1, 0, 0, 7, 7, 4, 4], 0]; // 3-9\nt10 = [[0, 3, 6], [0, 0, 2, 0, 0, 1], [1, 1, 1, 1, 8, 8, 8, 8], 0]; // 3-10\nt11 = [[0, 3, 7], [0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 5, 6, 5, 5], 0]; // 3-11\nt12 = [[0, 4, 8], [0, 0, 0, 3, 0, 0], [3, 3, 3, 3, 9, 9, 9, 9], 0]; // 3-12\nconst trichord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12];\n\nt1 = [[0, 1, 2, 3], [3, 2, 1, 0, 0, 0], [1, 1, 0, 0, 5, 5, 1, 1], 0]; // 4-1\nt2 = [[0, 1, 2, 4], [2, 2, 1, 1, 0, 0], [1, 0, 0, 0, 3, 4, 1, 1], 0]; // 4-2\nt3 = [[0, 1, 3, 4], [2, 1, 2, 1, 0, 0], [1, 1, 0, 0, 3, 3, 2, 2], 0]; // 4-3\nt4 = [[0, 1, 2, 5], [2, 1, 1, 1, 1, 0], [1, 0, 0, 0, 1, 3, 2, 3], 0]; // 4-4\nt5 = [[0, 1, 2, 6], [2, 1, 0, 1, 1, 1], [1, 0, 0, 0, 2, 4, 3, 2], 0]; // 4-5\nt6 = [[0, 1, 2, 7], [2, 1, 0, 0, 2, 1], [1, 1, 1, 1, 4, 4, 4, 4], 0]; // 4-6\nt7 = [[0, 1, 4, 5], [2, 0, 1, 2, 1, 0], [1, 1, 0, 0, 3, 3, 3, 3], 0]; // 4-7\nt8 = [[0, 1, 5, 6], [2, 0, 0, 1, 2, 1], [1, 1, 1, 1, 4, 4, 4, 4], 0]; // 4-8\nt9 = [[0, 1, 6, 7], [2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 6, 6, 6, 6], 0]; // 4-9\nt10 = [[0, 2, 3, 5], [1, 2, 2, 0, 1, 0], [1, 1, 1, 1, 3, 3, 3, 3], 0]; // 4-10\nt11 = [[0, 1, 3, 5], [1, 2, 1, 1, 1, 0], [1, 0, 1, 0, 1, 3, 1, 3], 0]; // 4-11\nt12 = [[0, 2, 3, 6], [1, 1, 2, 1, 0, 1], [1, 0, 0, 0, 2, 4, 3, 2], 0]; // 4-12\nt13 = [[0, 1, 3, 6], [1, 1, 2, 0, 1, 1], [1, 0, 0, 1, 2, 4, 4, 2], 0]; // 4-13\nt14 = [[0, 2, 3, 7], [1, 1, 1, 1, 2, 0], [1, 0, 0, 0, 1, 3, 2, 3], 0]; // 4-14\nt15 = [[0, 1, 4, 6], [1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 3, 3, 1], 29]; // 4-15z\nt16 = [[0, 1, 5, 7], [1, 1, 0, 1, 2, 1], [1, 0, 0, 0, 2, 4, 3, 2], 0]; // 4-16\nt17 = [[0, 3, 4, 7], [1, 0, 2, 2, 1, 0], [1, 1, 1, 1, 3, 3, 3, 3], 0]; // 4-17\nt18 = [[0, 1, 4, 7], [1, 0, 2, 1, 1, 1], [1, 0, 0, 1, 2, 4, 4, 2], 0]; // 4-18\nt19 = [[0, 1, 4, 8], [1, 0, 1, 3, 1, 0], [1, 0, 1, 0, 3, 5, 3, 5], 0]; // 4-19\nt20 = [[0, 1, 5, 8], [1, 0, 1, 2, 2, 0], [1, 1, 0, 0, 3, 3, 3, 3], 0]; // 4-20\nt21 = [[0, 2, 4, 6], [0, 3, 0, 2, 0, 1], [1, 1, 1, 1, 6, 6, 6, 6], 0]; // 4-21\nt22 = [[0, 2, 4, 7], [0, 2, 1, 1, 2, 0], [1, 0, 0, 0, 3, 4, 1, 1], 0]; // 4-22\nt23 = [[0, 2, 5, 7], [0, 2, 1, 0, 3, 0], [1, 1, 0, 0, 5, 5, 1, 1], 0]; // 4-23\nt24 = [[0, 2, 4, 8], [0, 2, 0, 3, 0, 1], [1, 1, 1, 1, 6, 6, 6, 6], 0]; // 4-24\nt25 = [[0, 2, 6, 8], [0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 6, 6, 6, 6], 0]; // 4-25\nt26 = [[0, 3, 5, 8], [0, 1, 2, 1, 2, 0], [1, 1, 0, 0, 3, 3, 2, 2], 0]; // 4-26\nt27 = [[0, 2, 5, 8], [0, 1, 2, 1, 1, 1], [1, 0, 0, 0, 2, 4, 3, 2], 0]; // 4-27\nt28 = [[0, 3, 6, 9], [0, 0, 4, 0, 0, 2], [4, 4, 4, 4, 8, 8, 8, 8], 0]; // 4-28\nt29 = [[0, 1, 3, 7], [1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 3, 3, 1], 15]; // 4-29z\nconst tetrachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9,\n t10, t11, t12, t13, t14, t15, t16, t17, t18, t19,\n t20, t21, t22, t23, t24, t25, t26, t27, t28, t29];\n\n\nt1 = [[0, 1, 2, 3, 4], [4, 3, 2, 1, 0, 0], [1, 1, 0, 0, 3, 3, 0, 0], 0]; // 5-1\nt2 = [[0, 1, 2, 3, 5], [3, 3, 2, 1, 1, 0], [1, 0, 0, 0, 1, 2, 1, 1], 0]; // 5-2\nt3 = [[0, 1, 2, 4, 5], [3, 2, 2, 2, 1, 0], [1, 0, 0, 0, 1, 1, 1, 0], 0]; // 5-3\nt4 = [[0, 1, 2, 3, 6], [3, 2, 2, 1, 1, 1], [1, 0, 0, 0, 0, 2, 0, 0], 0]; // 5-4\nt5 = [[0, 1, 2, 3, 7], [3, 2, 1, 1, 2, 1], [1, 0, 0, 0, 0, 1, 1, 1], 0]; // 5-5\nt6 = [[0, 1, 2, 5, 6], [3, 1, 1, 2, 2, 1], [1, 0, 0, 0, 0, 1, 1, 1], 0]; // 5-6\nt7 = [[0, 1, 2, 6, 7], [3, 1, 0, 1, 3, 2], [1, 0, 0, 1, 2, 3, 3, 2], 0]; // 5-7\nt8 = [[0, 2, 3, 4, 6], [2, 3, 2, 2, 0, 1], [1, 1, 0, 0, 2, 2, 0, 0], 0]; // 5-8\nt9 = [[0, 1, 2, 4, 6], [2, 3, 1, 2, 1, 1], [1, 0, 0, 0, 0, 2, 0, 1], 0]; // 5-9\nt10 = [[0, 1, 3, 4, 6], [2, 2, 3, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0], 0]; // 5-10\nt11 = [[0, 2, 3, 4, 7], [2, 2, 2, 2, 2, 0], [1, 0, 1, 0, 1, 1, 1, 1], 0]; // 5-11\nt12 = [[0, 1, 3, 5, 6], [2, 2, 2, 1, 2, 1], [1, 1, 1, 1, 0, 0, 0, 0], [36]]; // 5-12\nt13 = [[0, 1, 2, 4, 8], [2, 2, 1, 3, 1, 1], [1, 0, 0, 0, 0, 2, 0, 1], 0]; // 5-13\nt14 = [[0, 1, 2, 5, 7], [2, 2, 1, 1, 3, 1], [1, 0, 0, 0, 0, 1, 1, 1], 0]; // 5-14\nt15 = [[0, 1, 2, 6, 8], [2, 2, 0, 2, 2, 2], [1, 1, 1, 1, 2, 2, 2, 2], 0]; // 5-15\nt16 = [[0, 1, 3, 4, 7], [2, 1, 3, 2, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0], 0]; // 5-16\nt17 = [[0, 1, 3, 4, 8], [2, 1, 2, 3, 2, 0], [1, 1, 0, 0, 1, 1, 2, 2], [37]]; // 5-17\nt18 = [[0, 1, 4, 5, 7], [2, 1, 2, 2, 2, 1], [1, 0, 0, 0, 0, 1, 1, 0], [38]]; // 5-18\nt19 = [[0, 1, 3, 6, 7], [2, 1, 2, 1, 2, 2], [1, 0, 0, 1, 0, 2, 2, 0], 0]; // 5-19\nt20 = [[0, 1, 3, 7, 8], [2, 1, 1, 2, 3, 1], [1, 0, 0, 0, 0, 1, 1, 1], 0]; // 5-20\nt21 = [[0, 1, 4, 5, 8], [2, 0, 2, 4, 2, 0], [1, 0, 1, 0, 3, 3, 3, 3], 0]; // 5-21\nt22 = [[0, 1, 4, 7, 8], [2, 0, 2, 3, 2, 1], [1, 1, 1, 1, 2, 2, 2, 2], 0]; // 5-22\nt23 = [[0, 2, 3, 5, 7], [1, 3, 2, 1, 3, 0], [1, 0, 0, 0, 1, 2, 1, 1], 0]; // 5-23\nt24 = [[0, 1, 3, 5, 7], [1, 3, 1, 2, 2, 1], [1, 0, 0, 0, 0, 2, 0, 1], 0]; // 5-24\nt25 = [[0, 2, 3, 5, 8], [1, 2, 3, 1, 2, 1], [1, 0, 0, 0, 0, 1, 1, 0], 0]; // 5-25\nt26 = [[0, 2, 4, 5, 8], [1, 2, 2, 3, 1, 1], [1, 0, 1, 0, 0, 2, 0, 2], 0]; // 5-26\nt27 = [[0, 1, 3, 5, 8], [1, 2, 2, 2, 3, 0], [1, 0, 0, 0, 1, 1, 1, 0], 0]; // 5-27\nt28 = [[0, 2, 3, 6, 8], [1, 2, 2, 2, 1, 2], [1, 0, 0, 1, 0, 2, 2, 0], 0]; // 5-28\nt29 = [[0, 1, 3, 6, 8], [1, 2, 2, 1, 3, 1], [1, 0, 0, 0, 0, 2, 0, 0], 0]; // 5-29\nt30 = [[0, 1, 4, 6, 8], [1, 2, 1, 3, 2, 1], [1, 0, 0, 0, 0, 2, 0, 1], 0]; // 5-30\nt31 = [[0, 1, 3, 6, 9], [1, 1, 4, 1, 1, 2], [1, 0, 0, 1, 0, 3, 3, 0], 0]; // 5-31\nt32 = [[0, 1, 4, 6, 9], [1, 1, 3, 2, 2, 1], [1, 0, 0, 0, 0, 1, 1, 0], 0]; // 5-32\nt33 = [[0, 2, 4, 6, 8], [0, 4, 0, 4, 0, 2], [1, 1, 1, 1, 6, 6, 6, 6], 0]; // 5-33\nt34 = [[0, 2, 4, 6, 9], [0, 3, 2, 2, 2, 1], [1, 1, 0, 0, 2, 2, 0, 0], 0]; // 5-34\nt35 = [[0, 2, 4, 7, 9], [0, 3, 2, 1, 4, 0], [1, 1, 0, 0, 3, 3, 0, 0], 0]; // 5-35\nt36 = [[0, 1, 2, 4, 7], [2, 2, 2, 1, 2, 1], [1, 0, 0, 1, 0, 1, 1, 0], 12]; // 5-36\nt37 = [[0, 3, 4, 5, 8], [2, 1, 2, 2, 2, 0], [1, 1, 0, 0, 1, 1, 2, 2], 17]; // 5-37\nt38 = [[0, 1, 2, 5, 8], [2, 1, 2, 2, 2, 1], [1, 0, 0, 0, 0, 1, 1, 0], 18]; // 5-38\nconst pentachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9,\n t10, t11, t12, t13, t14, t15, t16, t17, t18, t19,\n t20, t21, t22, t23, t24, t25, t26, t27, t28, t29,\n t30, t31, t32, t33, t34, t35, t36, t37, t38];\n\n\nt1 = [[0, 1, 2, 3, 4, 5], [5, 4, 3, 2, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0], 0]; // 6-1 A\nt2 = [[0, 1, 2, 3, 4, 6], [4, 4, 3, 2, 1, 1], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-2\nt3 = [[0, 1, 2, 3, 5, 6], [4, 3, 3, 2, 2, 1], [1, 0, 0, 0, 0, 0, 0, 0], 36]; // 6-3\nt4 = [[0, 1, 2, 4, 5, 6], [4, 3, 2, 3, 2, 1], [1, 1, 0, 0, 0, 0, 0, 0], 37]; // 6-4\nt5 = [[0, 1, 2, 3, 6, 7], [4, 2, 2, 2, 3, 2], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-5\nt6 = [[0, 1, 2, 5, 6, 7], [4, 2, 1, 2, 4, 2], [1, 1, 0, 0, 0, 0, 1, 1], 38]; // 6-6\nt7 = [[0, 1, 2, 6, 7, 8], [4, 2, 0, 2, 4, 3], [2, 2, 2, 2, 2, 2, 2, 2], 0]; // 6-7 B\nt8 = [[0, 2, 3, 4, 5, 7], [3, 4, 3, 2, 3, 0], [1, 1, 1, 1, 1, 1, 1, 1], 0]; // 6-8 D\nt9 = [[0, 1, 2, 3, 5, 7], [3, 4, 2, 2, 3, 1], [1, 0, 1, 0, 0, 1, 0, 1], 0]; // 6-9\nt10 = [[0, 1, 3, 4, 5, 7], [3, 3, 3, 3, 2, 1], [1, 0, 0, 0, 0, 0, 0, 0], 39]; // 6-10\nt11 = [[0, 1, 2, 4, 5, 7], [3, 3, 3, 2, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0], 40]; // 6-11\nt12 = [[0, 1, 2, 4, 6, 7], [3, 3, 2, 2, 3, 2], [1, 0, 0, 1, 0, 0, 0, 0], 41]; // 6-12\nt13 = [[0, 1, 3, 4, 6, 7], [3, 2, 4, 2, 2, 2], [1, 1, 0, 0, 0, 0, 0, 0], 42]; // 6-13\nt14 = [[0, 1, 3, 4, 5, 8], [3, 2, 3, 4, 3, 0], [1, 0, 1, 0, 1, 0, 1, 0], 0]; // 6-14\nt15 = [[0, 1, 2, 4, 5, 8], [3, 2, 3, 4, 2, 1], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-15\nt16 = [[0, 1, 4, 5, 6, 8], [3, 2, 2, 4, 3, 1], [1, 0, 1, 0, 0, 1, 0, 1], 0]; // 6-16\nt17 = [[0, 1, 2, 4, 7, 8], [3, 2, 2, 3, 3, 2], [1, 0, 0, 1, 0, 0, 0, 0], 43]; // 6-17\nt18 = [[0, 1, 2, 5, 7, 8], [3, 2, 2, 2, 4, 2], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-18\nt19 = [[0, 1, 3, 4, 7, 8], [3, 1, 3, 4, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0], 44]; // 6-19\nt20 = [[0, 1, 4, 5, 8, 9], [3, 0, 3, 6, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3], 0]; // 6-20 E\nt21 = [[0, 2, 3, 4, 6, 8], [2, 4, 2, 4, 1, 2], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-21\nt22 = [[0, 1, 2, 4, 6, 8], [2, 4, 1, 4, 2, 2], [1, 0, 1, 0, 0, 1, 0, 1], 0]; // 6-22\nt23 = [[0, 2, 3, 5, 6, 8], [2, 3, 4, 2, 2, 2], [1, 1, 1, 1, 0, 0, 0, 0], 45]; // 6-23\nt24 = [[0, 1, 3, 4, 6, 8], [2, 3, 3, 3, 3, 1], [1, 0, 0, 0, 0, 0, 0, 0], 46]; // 6-24\nt25 = [[0, 1, 3, 5, 6, 8], [2, 3, 3, 2, 4, 1], [1, 0, 0, 0, 0, 0, 0, 0], 47]; // 6-25\nt26 = [[0, 1, 3, 5, 7, 8], [2, 3, 2, 3, 4, 1], [1, 1, 0, 0, 0, 0, 0, 0], 48]; // 6-26\nt27 = [[0, 1, 3, 4, 6, 9], [2, 2, 5, 2, 2, 2], [1, 0, 0, 1, 0, 1, 1, 0], 0]; // 6-27\nt28 = [[0, 1, 3, 5, 6, 9], [2, 2, 4, 3, 2, 2], [1, 1, 1, 1, 0, 0, 0, 0], 49]; // 6-28\nt29 = [[0, 1, 3, 6, 8, 9], [2, 2, 4, 2, 3, 2], [1, 1, 0, 0, 0, 0, 0, 0], 50]; // 6- d29\nt30 = [[0, 1, 3, 6, 7, 9], [2, 2, 4, 2, 2, 3], [2, 0, 0, 2, 0, 2, 2, 0], 0]; // 6-30\nt31 = [[0, 1, 3, 5, 8, 9], [2, 2, 3, 4, 3, 1], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-31\nt32 = [[0, 2, 4, 5, 7, 9], [1, 4, 3, 2, 5, 0], [1, 1, 0, 0, 1, 1, 0, 0], 0]; // 6-32 C\nt33 = [[0, 2, 3, 5, 7, 9], [1, 4, 3, 2, 4, 1], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-33\nt34 = [[0, 1, 3, 5, 7, 9], [1, 4, 2, 4, 2, 2], [1, 0, 0, 0, 0, 1, 0, 0], 0]; // 6-34\nt35 = [[0, 2, 4, 6, 8, 10], [0, 6, 0, 6, 0, 3], [6, 6, 6, 6, 6, 6, 6, 6], 0]; // 6-35 F\nt36 = [[0, 1, 2, 3, 4, 7], [4, 3, 3, 2, 2, 1], [1, 0, 0, 0, 0, 0, 0, 0], 3]; // 6-36\nt37 = [[0, 1, 2, 3, 4, 8], [4, 3, 2, 3, 2, 1], [1, 1, 0, 0, 0, 0, 0, 0], 4]; // 6-37\nt38 = [[0, 1, 2, 3, 7, 8], [4, 2, 1, 2, 4, 2], [1, 1, 0, 0, 0, 0, 1, 1], 6]; // 6-38\nconst t39 = [[0, 2, 3, 4, 5, 8], [3, 3, 3, 3, 2, 1], [1, 0, 0, 0, 0, 0, 0, 0], 10]; // 6-39\nconst t40 = [[0, 1, 2, 3, 5, 8], [3, 3, 3, 2, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0], 11]; // 6-40\nconst t41 = [[0, 1, 2, 3, 6, 8], [3, 3, 2, 2, 3, 2], [1, 0, 0, 1, 0, 0, 0, 0], 12]; // 6-41\nconst t42 = [[0, 1, 2, 3, 6, 9], [3, 2, 4, 2, 2, 2], [1, 1, 0, 0, 0, 0, 0, 0], 13]; // 6-42\nconst t43 = [[0, 1, 2, 5, 6, 8], [3, 2, 2, 3, 3, 2], [1, 0, 0, 1, 0, 0, 0, 0], 17]; // 6-43\nconst t44 = [[0, 1, 2, 5, 6, 9], [3, 1, 3, 4, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0], 19]; // 6-44\nconst t45 = [[0, 2, 3, 4, 6, 9], [2, 3, 4, 2, 2, 2], [1, 1, 1, 1, 0, 0, 0, 0], 23]; // 6-45\nconst t46 = [[0, 1, 2, 4, 6, 9], [2, 3, 3, 3, 3, 1], [1, 0, 0, 0, 0, 0, 0, 0], 24]; // 6-46\nconst t47 = [[0, 1, 2, 4, 7, 9], [2, 3, 3, 2, 4, 1], [1, 0, 0, 0, 0, 0, 0, 0], 25]; // 6-47\nconst t48 = [[0, 1, 2, 5, 7, 9], [2, 3, 2, 3, 4, 1], [1, 1, 0, 0, 0, 0, 0, 0], 26]; // 6-48\nconst t49 = [[0, 1, 3, 4, 7, 9], [2, 2, 4, 3, 2, 2], [1, 1, 1, 1, 0, 0, 0, 0], 28]; // 6-49\nconst t50 = [[0, 1, 4, 6, 7, 9], [2, 2, 4, 2, 3, 2], [1, 1, 0, 0, 0, 0, 0, 0], 29]; // 6-50\nconst hexachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9,\n t10, t11, t12, t13, t14, t15, t16, t17, t18, t19,\n t20, t21, t22, t23, t24, t25, t26, t27, t28, t29,\n t30, t31, t32, t33, t34, t35, t36, t37, t38, t39,\n t40, t41, t42, t43, t44, t45, t46, t47, t48, t49,\n t50];\n\n\nt1 = [[0, 1, 2, 3, 4, 5, 6], [6, 5, 4, 3, 2, 1], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 7-1\nt2 = [[0, 1, 2, 3, 4, 5, 7], [5, 5, 4, 3, 3, 1], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-2\nt3 = [[0, 1, 2, 3, 4, 5, 8], [5, 4, 4, 4, 3, 1], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-3\nt4 = [[0, 1, 2, 3, 4, 6, 7], [5, 4, 4, 3, 3, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-4\nt5 = [[0, 1, 2, 3, 5, 6, 7], [5, 4, 3, 3, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-5\nt6 = [[0, 1, 2, 3, 4, 7, 8], [5, 3, 3, 4, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-6\nt7 = [[0, 1, 2, 3, 6, 7, 8], [5, 3, 2, 3, 5, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 7-7\nt8 = [[0, 2, 3, 4, 5, 6, 8], [4, 5, 4, 4, 2, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 7-8\nt9 = [[0, 1, 2, 3, 4, 6, 8], [4, 5, 3, 4, 3, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-9\nt10 = [[0, 1, 2, 3, 4, 6, 9], [4, 4, 5, 3, 3, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-10\nt11 = [[0, 1, 3, 4, 5, 6, 8], [4, 4, 4, 4, 4, 1], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 7-11\nt12 = [[0, 1, 2, 3, 4, 7, 9], [4, 4, 4, 3, 4, 2], [1, 1, 1, 1, 0, 0, 0, 0], 36]; // 7-12 z\nt13 = [[0, 1, 2, 4, 5, 6, 8], [4, 4, 3, 5, 3, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-13\nt14 = [[0, 1, 2, 3, 5, 7, 8], [4, 4, 3, 3, 5, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-14\nt15 = [[0, 1, 2, 4, 6, 7, 8], [4, 4, 2, 4, 4, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 7-15\nt16 = [[0, 1, 2, 3, 5, 6, 9], [4, 3, 5, 4, 3, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-16\nt17 = [[0, 1, 2, 4, 5, 6, 9], [4, 3, 4, 5, 4, 1], [1, 1, 0, 0, 0, 0, 0, 0], 37]; // 7-17 z\nt18 = [[0, 1, 2, 3, 5, 8, 9], [4, 3, 4, 4, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 38]; // 7-18 z\nt19 = [[0, 1, 2, 3, 6, 7, 9], [4, 3, 4, 3, 4, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 7-19\nt20 = [[0, 1, 2, 4, 7, 8, 9], [4, 3, 3, 4, 5, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-20\nt21 = [[0, 1, 2, 4, 5, 8, 9], [4, 2, 4, 6, 4, 1], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 7-21\nt22 = [[0, 1, 2, 5, 6, 8, 9], [4, 2, 4, 5, 4, 2], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 7-22\nt23 = [[0, 2, 3, 4, 5, 7, 9], [3, 5, 4, 3, 5, 1], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-23\nt24 = [[0, 1, 2, 3, 5, 7, 9], [3, 5, 3, 4, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-24\nt25 = [[0, 2, 3, 4, 6, 7, 9], [3, 4, 5, 3, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-25\nt26 = [[0, 1, 3, 4, 5, 7, 9], [3, 4, 4, 5, 3, 2], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 7-26\nt27 = [[0, 1, 2, 4, 5, 7, 9], [3, 4, 4, 4, 5, 1], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-27\nt28 = [[0, 1, 3, 5, 6, 7, 9], [3, 4, 4, 4, 3, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 7-28\nt29 = [[0, 1, 2, 4, 6, 7, 9], [3, 4, 4, 3, 5, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-29\nt30 = [[0, 1, 2, 4, 6, 8, 9], [3, 4, 3, 5, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-30\nt31 = [[0, 1, 3, 4, 6, 7, 9], [3, 3, 6, 3, 3, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 7-31\nt32 = [[0, 1, 3, 4, 6, 8, 9], [3, 3, 5, 4, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 7-32\nt33 = [[0, 1, 2, 4, 6, 8, 10], [2, 6, 2, 6, 2, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 7-33\nt34 = [[0, 1, 3, 4, 6, 8, 10], [2, 5, 4, 4, 4, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 7-34\nt35 = [[0, 1, 3, 5, 6, 8, 10], [2, 5, 4, 3, 6, 1], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 7-35\nt36 = [[0, 1, 2, 3, 5, 6, 8], [4, 4, 4, 3, 4, 2], [1, 0, 0, 1, 0, 0, 0, 0], 12]; // 7-36 z\nt37 = [[0, 1, 3, 4, 5, 7, 8], [4, 3, 4, 5, 4, 1], [1, 1, 0, 0, 0, 0, 0, 0], 17]; // 7-37 z\nt38 = [[0, 1, 2, 4, 5, 7, 8], [4, 3, 4, 4, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 18]; // 7-38 z\nconst septachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9,\n t10, t11, t12, t13, t14, t15, t16, t17, t18, t19,\n t20, t21, t22, t23, t24, t25, t26, t27, t28, t29,\n t30, t31, t32, t33, t34, t35, t36, t37, t38];\n\n\nt1 = [[0, 1, 2, 3, 4, 5, 6, 7], [7, 6, 5, 4, 4, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-1\nt2 = [[0, 1, 2, 3, 4, 5, 6, 8], [6, 6, 5, 5, 4, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-2\nt3 = [[0, 1, 2, 3, 4, 5, 6, 9], [6, 5, 6, 5, 4, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-3\nt4 = [[0, 1, 2, 3, 4, 5, 7, 8], [6, 5, 5, 5, 5, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-4\nt5 = [[0, 1, 2, 3, 4, 6, 7, 8], [6, 5, 4, 5, 5, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-5\nt6 = [[0, 1, 2, 3, 5, 6, 7, 8], [6, 5, 4, 4, 6, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-6\nt7 = [[0, 1, 2, 3, 4, 5, 8, 9], [6, 4, 5, 6, 5, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-7\nt8 = [[0, 1, 2, 3, 4, 7, 8, 9], [6, 4, 4, 5, 6, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-8\nt9 = [[0, 1, 2, 3, 6, 7, 8, 9], [6, 4, 4, 4, 6, 4], [2, 2, 2, 2, 0, 0, 0, 0], 0]; // 8-9\nt10 = [[0, 2, 3, 4, 5, 6, 7, 9], [5, 6, 6, 4, 5, 2], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-10\nt11 = [[0, 1, 2, 3, 4, 5, 7, 9], [5, 6, 5, 5, 5, 2], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 8-11\nt12 = [[0, 1, 3, 4, 5, 6, 7, 9], [5, 5, 6, 5, 4, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-12\nt13 = [[0, 1, 2, 3, 4, 6, 7, 9], [5, 5, 6, 4, 5, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 8-13\nt14 = [[0, 1, 2, 4, 5, 6, 7, 9], [5, 5, 5, 5, 6, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-14\nt15 = [[0, 1, 2, 3, 4, 6, 8, 9], [5, 5, 5, 5, 5, 3], [1, 0, 0, 0, 0, 0, 0, 0], 29]; // 8-15 zz\nt16 = [[0, 1, 2, 3, 5, 7, 8, 9], [5, 5, 4, 5, 6, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-16\nt17 = [[0, 1, 3, 4, 5, 6, 8, 9], [5, 4, 6, 6, 5, 2], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-17\nt18 = [[0, 1, 2, 3, 5, 6, 8, 9], [5, 4, 6, 5, 5, 3], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 8-18\nt19 = [[0, 1, 2, 4, 5, 6, 8, 9], [5, 4, 5, 7, 5, 2], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 8-19\nt20 = [[0, 1, 2, 4, 5, 7, 8, 9], [5, 4, 5, 6, 6, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-20\nt21 = [[0, 1, 2, 3, 4, 6, 8, 10], [4, 7, 4, 6, 4, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-21\nt22 = [[0, 1, 2, 3, 5, 6, 8, 10], [4, 6, 5, 5, 6, 2], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-22\nt23 = [[0, 1, 2, 3, 5, 7, 8, 10], [4, 6, 5, 4, 7, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-23\nt24 = [[0, 1, 2, 4, 5, 6, 8, 10], [4, 6, 4, 7, 4, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 8-24\nt25 = [[0, 1, 2, 4, 6, 7, 8, 10], [4, 6, 4, 6, 4, 4], [2, 2, 2, 2, 0, 0, 0, 0], 0]; // 8-25\nt26 = [[0, 1, 2, 4, 5, 7, 9, 10], [4, 5, 6, 5, 6, 2], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 8-26\nt27 = [[0, 1, 2, 4, 5, 7, 8, 10], [4, 5, 6, 5, 5, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 8-27\nt28 = [[0, 1, 3, 4, 6, 7, 9, 10], [4, 4, 8, 4, 4, 4], [4, 4, 4, 4, 0, 0, 0, 0], 0]; // 8-28\nt29 = [[0, 1, 2, 3, 5, 6, 7, 9], [5, 5, 5, 5, 5, 3], [1, 0, 0, 0, 0, 0, 0, 0], 15]; // 8-29\nconst octachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9,\n t10, t11, t12, t13, t14, t15, t16, t17, t18, t19,\n t20, t21, t22, t23, t24, t25, t26, t27, t28, t29];\n\nt1 = [[0, 1, 2, 3, 4, 5, 6, 7, 8], [8, 7, 6, 6, 6, 3], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 9-1\nt2 = [[0, 1, 2, 3, 4, 5, 6, 7, 9], [7, 7, 7, 6, 6, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 9-2\nt3 = [[0, 1, 2, 3, 4, 5, 6, 8, 9], [7, 6, 7, 7, 6, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 9-3\nt4 = [[0, 1, 2, 3, 4, 5, 7, 8, 9], [7, 6, 6, 7, 7, 3], [1, 0, 1, 0, 0, 0, 0, 0], 0]; // 9-4\nt5 = [[0, 1, 2, 3, 4, 6, 7, 8, 9], [7, 6, 6, 6, 7, 4], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 9-5\nt6 = [[0, 1, 2, 3, 4, 5, 6, 8, 10], [6, 8, 6, 7, 6, 3], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 9-6\nt7 = [[0, 1, 2, 3, 4, 5, 7, 8, 10], [6, 7, 7, 6, 7, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 9-7\nt8 = [[0, 1, 2, 3, 4, 6, 7, 8, 10], [6, 7, 6, 7, 6, 4], [1, 0, 0, 1, 0, 0, 0, 0], 0]; // 9-8\nt9 = [[0, 1, 2, 3, 5, 6, 7, 8, 10], [6, 7, 6, 6, 8, 3], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 9-9\nt10 = [[0, 1, 2, 3, 4, 6, 7, 9, 10], [6, 6, 8, 6, 6, 4], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 9-10\nt11 = [[0, 1, 2, 3, 5, 6, 7, 9, 10], [6, 6, 7, 7, 7, 3], [1, 0, 0, 0, 0, 0, 0, 0], 0]; // 9-11\nt12 = [[0, 1, 2, 4, 5, 6, 8, 9, 10], [6, 6, 6, 9, 6, 3], [3, 3, 3, 3, 0, 0, 0, 0], 0]; // 9-12\nconst nonachord = [undefined, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12];\n\nt1 = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [9, 8, 8, 8, 8, 4], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 10-1\nt2 = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 10], [8, 9, 8, 8, 8, 4], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 10-2\nt3 = [[0, 1, 2, 3, 4, 5, 6, 7, 9, 10], [8, 8, 9, 8, 8, 4], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 10-3\nt4 = [[0, 1, 2, 3, 4, 5, 6, 8, 9, 10], [8, 8, 8, 9, 8, 4], [1, 1, 1, 1, 0, 0, 0, 0], 0]; // 10-4\nt5 = [[0, 1, 2, 3, 4, 5, 7, 8, 9, 10], [8, 8, 8, 8, 9, 4], [1, 1, 0, 0, 0, 0, 0, 0], 0]; // 10-5\nt6 = [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [8, 8, 8, 8, 8, 5], [2, 2, 2, 2, 0, 0, 0, 0], 0]; // 10-6\nconst decachord = [undefined, t1, t2, t3, t4, t5, t6];\n\nt1 = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [10, 10, 10, 10, 10, 5], [1, 1, 1, 1, 0, 0, 0, 0], 0];// 11-1\nconst undecachord = [undefined, t1];\n\nt1 = [[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [12, 12, 12, 12, 12, 6], [12, 12, 12, 12, 0, 0, 0, 0], 0]; // 12-1\nconst dodecachord = [undefined, t1];\n\n\n// -------------------------------------------------------------------------------\nexport const FORTE = [undefined, monad, diad, trichord, tetrachord, pentachord, hexachord, septachord, octachord,\n nonachord, decachord, undecachord, dodecachord];\n\n\n// to access the data for a single form, use:\n// forte [size[tetra]] = 4\n// [number[forte]] = 3\n// [data[0=pitches, 1=ICV, 2=invariance vector [morris], 3 = Z-relation]]\n// [element in list]\n//-------------------------------------------------------------------------------\n\n// cardinality 1\nconst card_1 ={\n '1,0': [FORTE[1][1][0], // 1\n FORTE[1][1][2], // var\n FORTE[1][1][1], //icv\n ],\n};\n// cardinality 2\nconst card_2 ={\n '1,0': [FORTE[2][1][0], // 2\n FORTE[2][1][2], // var\n FORTE[2][1][1], //icv\n ],\n '2,0': [FORTE[2][2][0], // 3\n FORTE[2][2][2], // var\n FORTE[2][2][1], //icv\n ],\n '3,0': [FORTE[2][3][0], // 4\n FORTE[2][3][2], // var\n FORTE[2][3][1], //icv\n ],\n '4,0': [FORTE[2][4][0], // 5\n FORTE[2][4][2], // var\n FORTE[2][4][1], //icv\n ],\n '5,0': [FORTE[2][5][0], // 6\n FORTE[2][5][2], // var\n FORTE[2][5][1], //icv\n ],\n '6,0': [FORTE[2][6][0], // 7\n FORTE[2][6][2], // var\n FORTE[2][6][1], //icv\n ],\n};\n// cardinality 3\nconst card_3 ={\n '1,0': [FORTE[3][1][0], // 8\n FORTE[3][1][2], // var\n FORTE[3][1][1], //icv\n ],\n '2,1': [FORTE[3][2][0], // 9\n FORTE[3][2][2], // var\n FORTE[3][2][1], //icv\n ],\n '2,-1': [[0, 2, 3], // 10\n FORTE[3][2][2], // var\n FORTE[3][2][1], //icv\n ],\n '3,1': [FORTE[3][3][0], // 11\n FORTE[3][3][2], // var\n FORTE[3][3][1], //icv\n ],\n '3,-1': [[0, 3, 4], // 12\n FORTE[3][3][2], // var\n FORTE[3][3][1], //icv\n ],\n '4,1': [FORTE[3][4][0], // 13\n FORTE[3][4][2], // var\n FORTE[3][4][1], //icv\n ],\n '4,-1': [[0, 4, 5], // 14\n FORTE[3][4][2], // var\n FORTE[3][4][1], //icv\n ],\n '5,1': [FORTE[3][5][0], // 15\n FORTE[3][5][2], // var\n FORTE[3][5][1], //icv\n ],\n '5,-1': [[0, 5, 6], // 16\n FORTE[3][5][2], // var\n FORTE[3][5][1], //icv\n ],\n '6,0': [FORTE[3][6][0], // 17\n FORTE[3][6][2], // var\n FORTE[3][6][1], //icv\n ],\n '7,1': [FORTE[3][7][0], // 18\n FORTE[3][7][2], // var\n FORTE[3][7][1], //icv\n ],\n '7,-1': [[0, 3, 5], // 19\n FORTE[3][7][2], // var\n FORTE[3][7][1], //icv\n ],\n '8,1': [FORTE[3][8][0], // 20\n FORTE[3][8][2], // var\n FORTE[3][8][1], //icv\n ],\n '8,-1': [[0, 4, 6], // 21\n FORTE[3][8][2], // var\n FORTE[3][8][1], //icv\n ],\n '9,0': [FORTE[3][9][0], // 22\n FORTE[3][9][2], // var\n FORTE[3][9][1], //icv\n ],\n '10,0': [FORTE[3][10][0], // 23\n FORTE[3][10][2], // var\n FORTE[3][10][1], //icv\n ],\n '11,1': [FORTE[3][11][0], // 24\n FORTE[3][11][2], // var\n FORTE[3][11][1], //icv\n ],\n '11,-1': [[0, 4, 7], // 25\n FORTE[3][11][2], // var\n FORTE[3][11][1], //icv\n ],\n '12,0': [FORTE[3][12][0], // 26\n FORTE[3][12][2], // var\n FORTE[3][12][1], //icv\n ],\n};\n// cardinality 4\nconst card_4 ={\n '1,0': [FORTE[4][1][0], // 27\n FORTE[4][1][2], // var\n FORTE[4][1][1], //icv\n ],\n '2,1': [FORTE[4][2][0], // 28\n FORTE[4][2][2], // var\n FORTE[4][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4], // 29\n FORTE[4][2][2], // var\n FORTE[4][2][1], //icv\n ],\n '3,0': [FORTE[4][3][0], // 30\n FORTE[4][3][2], // var\n FORTE[4][3][1], //icv\n ],\n '4,1': [FORTE[4][4][0], // 31\n FORTE[4][4][2], // var\n FORTE[4][4][1], //icv\n ],\n '4,-1': [[0, 3, 4, 5], // 32\n FORTE[4][4][2], // var\n FORTE[4][4][1], //icv\n ],\n '5,1': [FORTE[4][5][0], // 33\n FORTE[4][5][2], // var\n FORTE[4][5][1], //icv\n ],\n '5,-1': [[0, 4, 5, 6], // 34\n FORTE[4][5][2], // var\n FORTE[4][5][1], //icv\n ],\n '6,0': [FORTE[4][6][0], // 35\n FORTE[4][6][2], // var\n FORTE[4][6][1], //icv\n ],\n '7,0': [FORTE[4][7][0], // 36\n FORTE[4][7][2], // var\n FORTE[4][7][1], //icv\n ],\n '8,0': [FORTE[4][8][0], // 37\n FORTE[4][8][2], // var\n FORTE[4][8][1], //icv\n ],\n '9,0': [FORTE[4][9][0], // 38\n FORTE[4][9][2], // var\n FORTE[4][9][1], //icv\n ],\n '10,0': [FORTE[4][10][0], // 39\n FORTE[4][10][2], // var\n FORTE[4][10][1], //icv\n ],\n '11,1': [FORTE[4][11][0], // 40\n FORTE[4][11][2], // var\n FORTE[4][11][1], //icv\n ],\n '11,-1': [[0, 2, 4, 5], // 41\n FORTE[4][11][2], // var\n FORTE[4][11][1], //icv\n ],\n '12,1': [FORTE[4][12][0], // 42\n FORTE[4][12][2], // var\n FORTE[4][12][1], //icv\n ],\n '12,-1': [[0, 3, 4, 6], // 43\n FORTE[4][12][2], // var\n FORTE[4][12][1], //icv\n ],\n '13,1': [FORTE[4][13][0], // 44\n FORTE[4][13][2], // var\n FORTE[4][13][1], //icv\n ],\n '13,-1': [[0, 3, 5, 6], // 45\n FORTE[4][13][2], // var\n FORTE[4][13][1], //icv\n ],\n '14,1': [FORTE[4][14][0], // 46\n FORTE[4][14][2], // var\n FORTE[4][14][1], //icv\n ],\n '14,-1': [[0, 4, 5, 7], // 47\n FORTE[4][14][2], // var\n FORTE[4][14][1], //icv\n ],\n '15,1': [FORTE[4][15][0], // 48\n FORTE[4][15][2], // var\n FORTE[4][15][1], //icv\n ],\n '15,-1': [[0, 2, 5, 6], // 49\n FORTE[4][15][2], // var\n FORTE[4][15][1], //icv\n ],\n '16,1': [FORTE[4][16][0], // 50\n FORTE[4][16][2], // var\n FORTE[4][16][1], //icv\n ],\n '16,-1': [[0, 2, 6, 7], // 51\n FORTE[4][16][2], // var\n FORTE[4][16][1], //icv\n ],\n '17,0': [FORTE[4][17][0], // 52\n FORTE[4][17][2], // var\n FORTE[4][17][1], //icv\n ],\n '18,1': [FORTE[4][18][0], // 53\n FORTE[4][18][2], // var\n FORTE[4][18][1], //icv\n ],\n '18,-1': [[0, 3, 6, 7], // 54\n FORTE[4][18][2], // var\n FORTE[4][18][1], //icv\n ],\n '19,1': [FORTE[4][19][0], // 55\n FORTE[4][19][2], // var\n FORTE[4][19][1], //icv\n ],\n '19,-1': [[0, 4, 7, 8], // 56\n FORTE[4][19][2], // var\n FORTE[4][19][1], //icv\n ],\n '20,0': [FORTE[4][20][0], // 57\n FORTE[4][20][2], // var\n FORTE[4][20][1], //icv\n ],\n '21,0': [FORTE[4][21][0], // 58\n FORTE[4][21][2], // var\n FORTE[4][21][1], //icv\n ],\n '22,1': [FORTE[4][22][0], // 59\n FORTE[4][22][2], // var\n FORTE[4][22][1], //icv\n ],\n '22,-1': [[0, 3, 5, 7], // 60\n FORTE[4][22][2], // var\n FORTE[4][22][1], //icv\n ],\n '23,0': [FORTE[4][23][0], // 61\n FORTE[4][23][2], // var\n FORTE[4][23][1], //icv\n ],\n '24,0': [FORTE[4][24][0], // 62\n FORTE[4][24][2], // var\n FORTE[4][24][1], //icv\n ],\n '25,0': [FORTE[4][25][0], // 63\n FORTE[4][25][2], // var\n FORTE[4][25][1], //icv\n ],\n '26,0': [FORTE[4][26][0], // 64\n FORTE[4][26][2], // var\n FORTE[4][26][1], //icv\n ],\n '27,1': [FORTE[4][27][0], // 65\n FORTE[4][27][2], // var\n FORTE[4][27][1], //icv\n ],\n '27,-1': [[0, 3, 6, 8], // 66\n FORTE[4][27][2], // var\n FORTE[4][27][1], //icv\n ],\n '28,0': [FORTE[4][28][0], // 67\n FORTE[4][28][2], // var\n FORTE[4][28][1], //icv\n ],\n '29,1': [FORTE[4][29][0], // 68\n FORTE[4][29][2], // var\n FORTE[4][29][1], //icv\n ],\n '29,-1': [[0, 4, 6, 7], // 69\n FORTE[4][29][2], // var\n FORTE[4][29][1], //icv\n ],\n};\n// cardinality 5\nconst card_5 ={\n '1,0': [FORTE[5][1][0], // 70\n FORTE[5][1][2], // var\n FORTE[5][1][1], //icv\n ],\n '2,1': [FORTE[5][2][0], // 71\n FORTE[5][2][2], // var\n FORTE[5][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4, 5], // 72\n FORTE[5][2][2], // var\n FORTE[5][2][1], //icv\n ],\n '3,1': [FORTE[5][3][0], // 73\n FORTE[5][3][2], // var\n FORTE[5][3][1], //icv\n ],\n '3,-1': [[0, 1, 3, 4, 5], // 74\n FORTE[5][3][2], // var\n FORTE[5][3][1], //icv\n ],\n '4,1': [FORTE[5][4][0], // 75\n FORTE[5][4][2], // var\n FORTE[5][4][1], //icv\n ],\n '4,-1': [[0, 3, 4, 5, 6], // 76\n FORTE[5][4][2], // var\n FORTE[5][4][1], //icv\n ],\n '5,1': [FORTE[5][5][0], // 77\n FORTE[5][5][2], // var\n FORTE[5][5][1], //icv\n ],\n '5,-1': [[0, 4, 5, 6, 7], // 78\n FORTE[5][5][2], // var\n FORTE[5][5][1], //icv\n ],\n '6,1': [FORTE[5][6][0], // 79\n FORTE[5][6][2], // var\n FORTE[5][6][1], //icv\n ],\n '6,-1': [[0, 1, 4, 5, 6], // 80\n FORTE[5][6][2], // var\n FORTE[5][6][1], //icv\n ],\n '7,1': [FORTE[5][7][0], // 81\n FORTE[5][7][2], // var\n FORTE[5][7][1], //icv\n ],\n '7,-1': [[0, 1, 5, 6, 7], // 82\n FORTE[5][7][2], // var\n FORTE[5][7][1], //icv\n ],\n '8,0': [FORTE[5][8][0], // 83\n FORTE[5][8][2], // var\n FORTE[5][8][1], //icv\n ],\n '9,1': [FORTE[5][9][0], // 84\n FORTE[5][9][2], // var\n FORTE[5][9][1], //icv\n ],\n '9,-1': [[0, 2, 4, 5, 6], // 85\n FORTE[5][9][2], // var\n FORTE[5][9][1], //icv\n ],\n '10,1': [FORTE[5][10][0], // 86\n FORTE[5][10][2], // var\n FORTE[5][10][1], //icv\n ],\n '10,-1': [[0, 2, 3, 5, 6], // 87\n FORTE[5][10][2], // var\n FORTE[5][10][1], //icv\n ],\n '11,1': [FORTE[5][11][0], // 88\n FORTE[5][11][2], // var\n FORTE[5][11][1], //icv\n ],\n '11,-1': [[0, 3, 4, 5, 7], // 89\n FORTE[5][11][2], // var\n FORTE[5][11][1], //icv\n ],\n '12,0': [FORTE[5][12][0], // 90\n FORTE[5][12][2], // var\n FORTE[5][12][1], //icv\n ],\n '13,1': [FORTE[5][13][0], // 91\n FORTE[5][13][2], // var\n FORTE[5][13][1], //icv\n ],\n '13,-1': [[0, 4, 6, 7, 8], // 92\n FORTE[5][13][2], // var\n FORTE[5][13][1], //icv\n ],\n '14,1': [FORTE[5][14][0], // 93\n FORTE[5][14][2], // var\n FORTE[5][14][1], //icv\n ],\n '14,-1': [[0, 2, 5, 6, 7], // 94\n FORTE[5][14][2], // var\n FORTE[5][14][1], //icv\n ],\n '15,0': [FORTE[5][15][0], // 95\n FORTE[5][15][2], // var\n FORTE[5][15][1], //icv\n ],\n '16,1': [FORTE[5][16][0], // 96\n FORTE[5][16][2], // var\n FORTE[5][16][1], //icv\n ],\n '16,-1': [[0, 3, 4, 6, 7], // 97\n FORTE[5][16][2], // var\n FORTE[5][16][1], //icv\n ],\n '17,0': [FORTE[5][17][0], // 98\n FORTE[5][17][2], // var\n FORTE[5][17][1], //icv\n ],\n '18,1': [FORTE[5][18][0], // 99\n FORTE[5][18][2], // var\n FORTE[5][18][1], //icv\n ],\n '18,-1': [[0, 2, 3, 6, 7], // 100\n FORTE[5][18][2], // var\n FORTE[5][18][1], //icv\n ],\n '19,1': [FORTE[5][19][0], // 101\n FORTE[5][19][2], // var\n FORTE[5][19][1], //icv\n ],\n '19,-1': [[0, 1, 4, 6, 7], // 102\n FORTE[5][19][2], // var\n FORTE[5][19][1], //icv\n ],\n '20,1': [FORTE[5][20][0], // 103\n FORTE[5][20][2], // var\n FORTE[5][20][1], //icv\n ],\n '20,-1': [[0, 1, 5, 7, 8], // 104\n FORTE[5][20][2], // var\n FORTE[5][20][1], //icv\n ],\n '21,1': [FORTE[5][21][0], // 105\n FORTE[5][21][2], // var\n FORTE[5][21][1], //icv\n ],\n '21,-1': [[0, 3, 4, 7, 8], // 106\n FORTE[5][21][2], // var\n FORTE[5][21][1], //icv\n ],\n '22,0': [FORTE[5][22][0], // 107\n FORTE[5][22][2], // var\n FORTE[5][22][1], //icv\n ],\n '23,1': [FORTE[5][23][0], // 108\n FORTE[5][23][2], // var\n FORTE[5][23][1], //icv\n ],\n '23,-1': [[0, 2, 4, 5, 7], // 109\n FORTE[5][23][2], // var\n FORTE[5][23][1], //icv\n ],\n '24,1': [FORTE[5][24][0], // 110\n FORTE[5][24][2], // var\n FORTE[5][24][1], //icv\n ],\n '24,-1': [[0, 2, 4, 6, 7], // 111\n FORTE[5][24][2], // var\n FORTE[5][24][1], //icv\n ],\n '25,1': [FORTE[5][25][0], // 112\n FORTE[5][25][2], // var\n FORTE[5][25][1], //icv\n ],\n '25,-1': [[0, 3, 5, 6, 8], // 113\n FORTE[5][25][2], // var\n FORTE[5][25][1], //icv\n ],\n '26,1': [FORTE[5][26][0], // 114\n FORTE[5][26][2], // var\n FORTE[5][26][1], //icv\n ],\n '26,-1': [[0, 3, 4, 6, 8], // 115\n FORTE[5][26][2], // var\n FORTE[5][26][1], //icv\n ],\n '27,1': [FORTE[5][27][0], // 116\n FORTE[5][27][2], // var\n FORTE[5][27][1], //icv\n ],\n '27,-1': [[0, 3, 5, 7, 8], // 117\n FORTE[5][27][2], // var\n FORTE[5][27][1], //icv\n ],\n '28,1': [FORTE[5][28][0], // 118\n FORTE[5][28][2], // var\n FORTE[5][28][1], //icv\n ],\n '28,-1': [[0, 2, 5, 6, 8], // 119\n FORTE[5][28][2], // var\n FORTE[5][28][1], //icv\n ],\n '29,1': [FORTE[5][29][0], // 120\n FORTE[5][29][2], // var\n FORTE[5][29][1], //icv\n ],\n '29,-1': [[0, 2, 5, 7, 8], // 121\n FORTE[5][29][2], // var\n FORTE[5][29][1], //icv\n ],\n '30,1': [FORTE[5][30][0], // 122\n FORTE[5][30][2], // var\n FORTE[5][30][1], //icv\n ],\n '30,-1': [[0, 2, 4, 7, 8], // 123\n FORTE[5][30][2], // var\n FORTE[5][30][1], //icv\n ],\n '31,1': [FORTE[5][31][0], // 124\n FORTE[5][31][2], // var\n FORTE[5][31][1], //icv\n ],\n '31,-1': [[0, 3, 6, 8, 9], // 125\n FORTE[5][31][2], // var\n FORTE[5][31][1], //icv\n ],\n '32,1': [FORTE[5][32][0], // 126\n FORTE[5][32][2], // var\n FORTE[5][32][1], //icv\n ],\n '32,-1': [[0, 3, 5, 8, 9], // 127\n FORTE[5][32][2], // var\n FORTE[5][32][1], //icv\n ],\n '33,0': [FORTE[5][33][0], // 128\n FORTE[5][33][2], // var\n FORTE[5][33][1], //icv\n ],\n '34,0': [FORTE[5][34][0], // 129\n FORTE[5][34][2], // var\n FORTE[5][34][1], //icv\n ],\n '35,0': [FORTE[5][35][0], // 130\n FORTE[5][35][2], // var\n FORTE[5][35][1], //icv\n ],\n '36,1': [FORTE[5][36][0], // 131\n FORTE[5][36][2], // var\n FORTE[5][36][1], //icv\n ],\n '36,-1': [[0, 3, 5, 6, 7], // 132\n FORTE[5][36][2], // var\n FORTE[5][36][1], //icv\n ],\n '37,0': [FORTE[5][37][0], // 133\n FORTE[5][37][2], // var\n FORTE[5][37][1], //icv\n ],\n '38,1': [FORTE[5][38][0], // 134\n FORTE[5][38][2], // var\n FORTE[5][38][1], //icv\n ],\n '38,-1': [[0, 3, 6, 7, 8], // 135\n FORTE[5][38][2], // var\n FORTE[5][38][1], //icv\n ],\n};\n// cardinality 6\nconst card_6 ={\n '1,0': [FORTE[6][1][0], // 136\n FORTE[6][1][2], // var\n FORTE[6][1][1], //icv\n ],\n '2,1': [FORTE[6][2][0], // 137\n FORTE[6][2][2], // var\n FORTE[6][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4, 5, 6], // 138\n FORTE[6][2][2], // var\n FORTE[6][2][1], //icv\n ],\n '3,1': [FORTE[6][3][0], // 139\n FORTE[6][3][2], // var\n FORTE[6][3][1], //icv\n ],\n '3,-1': [[0, 1, 3, 4, 5, 6], // 140\n FORTE[6][3][2], // var\n FORTE[6][3][1], //icv\n ],\n '4,0': [FORTE[6][4][0], // 141\n FORTE[6][4][2], // var\n FORTE[6][4][1], //icv\n ],\n '5,1': [FORTE[6][5][0], // 142\n FORTE[6][5][2], // var\n FORTE[6][5][1], //icv\n ],\n '5,-1': [[0, 1, 4, 5, 6, 7], // 143\n FORTE[6][5][2], // var\n FORTE[6][5][1], //icv\n ],\n '6,0': [FORTE[6][6][0], // 144\n FORTE[6][6][2], // var\n FORTE[6][6][1], //icv\n ],\n '7,0': [FORTE[6][7][0], // 145\n FORTE[6][7][2], // var\n FORTE[6][7][1], //icv\n ],\n '8,0': [FORTE[6][8][0], // 146\n FORTE[6][8][2], // var\n FORTE[6][8][1], //icv\n ],\n '9,1': [FORTE[6][9][0], // 147\n FORTE[6][9][2], // var\n FORTE[6][9][1], //icv\n ],\n '9,-1': [[0, 2, 4, 5, 6, 7], // 148\n FORTE[6][9][2], // var\n FORTE[6][9][1], //icv\n ],\n '10,1': [FORTE[6][10][0], // 149\n FORTE[6][10][2], // var\n FORTE[6][10][1], //icv\n ],\n '10,-1': [[0, 2, 3, 4, 6, 7], // 150\n FORTE[6][10][2], // var\n FORTE[6][10][1], //icv\n ],\n '11,1': [FORTE[6][11][0], // 151\n FORTE[6][11][2], // var\n FORTE[6][11][1], //icv\n ],\n '11,-1': [[0, 2, 3, 5, 6, 7], // 152\n FORTE[6][11][2], // var\n FORTE[6][11][1], //icv\n ],\n '12,1': [FORTE[6][12][0], // 153\n FORTE[6][12][2], // var\n FORTE[6][12][1], //icv\n ],\n '12,-1': [[0, 1, 3, 5, 6, 7], // 154\n FORTE[6][12][2], // var\n FORTE[6][12][1], //icv\n ],\n '13,0': [FORTE[6][13][0], // 155\n FORTE[6][13][2], // var\n FORTE[6][13][1], //icv\n ],\n '14,1': [FORTE[6][14][0], // 156\n FORTE[6][14][2], // var\n FORTE[6][14][1], //icv\n ],\n '14,-1': [[0, 3, 4, 5, 7, 8], // 157\n FORTE[6][14][2], // var\n FORTE[6][14][1], //icv\n ],\n '15,1': [FORTE[6][15][0], // 158\n FORTE[6][15][2], // var\n FORTE[6][15][1], //icv\n ],\n '15,-1': [[0, 3, 4, 6, 7, 8], // 159\n FORTE[6][15][2], // var\n FORTE[6][15][1], //icv\n ],\n '16,1': [FORTE[6][16][0], // 160\n FORTE[6][16][2], // var\n FORTE[6][16][1], //icv\n ],\n '16,-1': [[0, 2, 3, 4, 7, 8], // 161\n FORTE[6][16][2], // var\n FORTE[6][16][1], //icv\n ],\n '17,1': [FORTE[6][17][0], // 162\n FORTE[6][17][2], // var\n FORTE[6][17][1], //icv\n ],\n '17,-1': [[0, 1, 4, 6, 7, 8], // 163\n FORTE[6][17][2], // var\n FORTE[6][17][1], //icv\n ],\n '18,1': [FORTE[6][18][0], // 164\n FORTE[6][18][2], // var\n FORTE[6][18][1], //icv\n ],\n '18,-1': [[0, 1, 3, 6, 7, 8], // 165\n FORTE[6][18][2], // var\n FORTE[6][18][1], //icv\n ],\n '19,1': [FORTE[6][19][0], // 166\n FORTE[6][19][2], // var\n FORTE[6][19][1], //icv\n ],\n '19,-1': [[0, 1, 4, 5, 7, 8], // 167\n FORTE[6][19][2], // var\n FORTE[6][19][1], //icv\n ],\n '20,0': [FORTE[6][20][0], // 168\n FORTE[6][20][2], // var\n FORTE[6][20][1], //icv\n ],\n '21,1': [FORTE[6][21][0], // 169\n FORTE[6][21][2], // var\n FORTE[6][21][1], //icv\n ],\n '21,-1': [[0, 2, 4, 5, 6, 8], // 170\n FORTE[6][21][2], // var\n FORTE[6][21][1], //icv\n ],\n '22,1': [FORTE[6][22][0], // 171\n FORTE[6][22][2], // var\n FORTE[6][22][1], //icv\n ],\n '22,-1': [[0, 2, 4, 6, 7, 8], // 172\n FORTE[6][22][2], // var\n FORTE[6][22][1], //icv\n ],\n '23,0': [FORTE[6][23][0], // 173\n FORTE[6][23][2], // var\n FORTE[6][23][1], //icv\n ],\n '24,1': [FORTE[6][24][0], // 174\n FORTE[6][24][2], // var\n FORTE[6][24][1], //icv\n ],\n '24,-1': [[0, 2, 4, 5, 7, 8], // 175\n FORTE[6][24][2], // var\n FORTE[6][24][1], //icv\n ],\n '25,1': [FORTE[6][25][0], // 176\n FORTE[6][25][2], // var\n FORTE[6][25][1], //icv\n ],\n '25,-1': [[0, 2, 3, 5, 7, 8], // 177\n FORTE[6][25][2], // var\n FORTE[6][25][1], //icv\n ],\n '26,0': [FORTE[6][26][0], // 178\n FORTE[6][26][2], // var\n FORTE[6][26][1], //icv\n ],\n '27,1': [FORTE[6][27][0], // 179\n FORTE[6][27][2], // var\n FORTE[6][27][1], //icv\n ],\n '27,-1': [[0, 3, 5, 6, 8, 9], // 180\n FORTE[6][27][2], // var\n FORTE[6][27][1], //icv\n ],\n '28,0': [FORTE[6][28][0], // 181\n FORTE[6][28][2], // var\n FORTE[6][28][1], //icv\n ],\n '29,0': [FORTE[6][29][0], // 182\n FORTE[6][29][2], // var\n FORTE[6][29][1], //icv\n ],\n '30,1': [FORTE[6][30][0], // 183\n FORTE[6][30][2], // var\n FORTE[6][30][1], //icv\n ],\n '30,-1': [[0, 2, 3, 6, 8, 9], // 184\n FORTE[6][30][2], // var\n FORTE[6][30][1], //icv\n ],\n '31,1': [FORTE[6][31][0], // 185\n FORTE[6][31][2], // var\n FORTE[6][31][1], //icv\n ],\n '31,-1': [[0, 1, 4, 6, 8, 9], // 186\n FORTE[6][31][2], // var\n FORTE[6][31][1], //icv\n ],\n '32,0': [FORTE[6][32][0], // 187\n FORTE[6][32][2], // var\n FORTE[6][32][1], //icv\n ],\n '33,1': [FORTE[6][33][0], // 188\n FORTE[6][33][2], // var\n FORTE[6][33][1], //icv\n ],\n '33,-1': [[0, 2, 4, 6, 7, 9], // 189\n FORTE[6][33][2], // var\n FORTE[6][33][1], //icv\n ],\n '34,1': [FORTE[6][34][0], // 190\n FORTE[6][34][2], // var\n FORTE[6][34][1], //icv\n ],\n '34,-1': [[0, 2, 4, 6, 8, 9], // 191\n FORTE[6][34][2], // var\n FORTE[6][34][1], //icv\n ],\n '35,0': [FORTE[6][35][0], // 192\n FORTE[6][35][2], // var\n FORTE[6][35][1], //icv\n ],\n '36,1': [FORTE[6][36][0], // 193\n FORTE[6][36][2], // var\n FORTE[6][36][1], //icv\n ],\n '36,-1': [[0, 3, 4, 5, 6, 7], // 194\n FORTE[6][36][2], // var\n FORTE[6][36][1], //icv\n ],\n '37,0': [FORTE[6][37][0], // 195\n FORTE[6][37][2], // var\n FORTE[6][37][1], //icv\n ],\n '38,0': [FORTE[6][38][0], // 196\n FORTE[6][38][2], // var\n FORTE[6][38][1], //icv\n ],\n '39,1': [FORTE[6][39][0], // 197\n FORTE[6][39][2], // var\n FORTE[6][39][1], //icv\n ],\n '39,-1': [[0, 3, 4, 5, 6, 8], // 198\n FORTE[6][39][2], // var\n FORTE[6][39][1], //icv\n ],\n '40,1': [FORTE[6][40][0], // 199\n FORTE[6][40][2], // var\n FORTE[6][40][1], //icv\n ],\n '40,-1': [[0, 3, 5, 6, 7, 8], // 200\n FORTE[6][40][2], // var\n FORTE[6][40][1], //icv\n ],\n '41,1': [FORTE[6][41][0], // 201\n FORTE[6][41][2], // var\n FORTE[6][41][1], //icv\n ],\n '41,-1': [[0, 2, 5, 6, 7, 8], // 202\n FORTE[6][41][2], // var\n FORTE[6][41][1], //icv\n ],\n '42,0': [FORTE[6][42][0], // 203\n FORTE[6][42][2], // var\n FORTE[6][42][1], //icv\n ],\n '43,1': [FORTE[6][43][0], // 204\n FORTE[6][43][2], // var\n FORTE[6][43][1], //icv\n ],\n '43,-1': [[0, 2, 3, 6, 7, 8], // 205\n FORTE[6][43][2], // var\n FORTE[6][43][1], //icv\n ],\n '44,1': [FORTE[6][44][0], // 206\n FORTE[6][44][2], // var\n FORTE[6][44][1], //icv\n ],\n '44,-1': [[0, 3, 4, 7, 8, 9], // 207\n FORTE[6][44][2], // var\n FORTE[6][44][1], //icv\n ],\n '45,0': [FORTE[6][45][0], // 208\n FORTE[6][45][2], // var\n FORTE[6][45][1], //icv\n ],\n '46,1': [FORTE[6][46][0], // 209\n FORTE[6][46][2], // var\n FORTE[6][46][1], //icv\n ],\n '46,-1': [[0, 3, 5, 7, 8, 9], // 210\n FORTE[6][46][2], // var\n FORTE[6][46][1], //icv\n ],\n '47,1': [FORTE[6][47][0], // 211\n FORTE[6][47][2], // var\n FORTE[6][47][1], //icv\n ],\n '47,-1': [[0, 2, 5, 7, 8, 9], // 212\n FORTE[6][47][2], // var\n FORTE[6][47][1], //icv\n ],\n '48,0': [FORTE[6][48][0], // 213\n FORTE[6][48][2], // var\n FORTE[6][48][1], //icv\n ],\n '49,0': [FORTE[6][49][0], // 214\n FORTE[6][49][2], // var\n FORTE[6][49][1], //icv\n ],\n '50,0': [FORTE[6][50][0], // 215\n FORTE[6][50][2], // var\n FORTE[6][50][1], //icv\n ],\n};\n// cardinality 7\nconst card_7 ={\n '1,0': [FORTE[7][1][0], // 216\n FORTE[7][1][2], // var\n FORTE[7][1][1], //icv\n ],\n '2,1': [FORTE[7][2][0], // 217\n FORTE[7][2][2], // var\n FORTE[7][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4, 5, 6, 7], // 218\n FORTE[7][2][2], // var\n FORTE[7][2][1], //icv\n ],\n '3,1': [FORTE[7][3][0], // 219\n FORTE[7][3][2], // var\n FORTE[7][3][1], //icv\n ],\n '3,-1': [[0, 3, 4, 5, 6, 7, 8], // 220\n FORTE[7][3][2], // var\n FORTE[7][3][1], //icv\n ],\n '4,1': [FORTE[7][4][0], // 221\n FORTE[7][4][2], // var\n FORTE[7][4][1], //icv\n ],\n '4,-1': [[0, 1, 3, 4, 5, 6, 7], // 222\n FORTE[7][4][2], // var\n FORTE[7][4][1], //icv\n ],\n '5,1': [FORTE[7][5][0], // 223\n FORTE[7][5][2], // var\n FORTE[7][5][1], //icv\n ],\n '5,-1': [[0, 1, 2, 4, 5, 6, 7], // 224\n FORTE[7][5][2], // var\n FORTE[7][5][1], //icv\n ],\n '6,1': [FORTE[7][6][0], // 225\n FORTE[7][6][2], // var\n FORTE[7][6][1], //icv\n ],\n '6,-1': [[0, 1, 4, 5, 6, 7, 8], // 226\n FORTE[7][6][2], // var\n FORTE[7][6][1], //icv\n ],\n '7,1': [FORTE[7][7][0], // 227\n FORTE[7][7][2], // var\n FORTE[7][7][1], //icv\n ],\n '7,-1': [[0, 1, 2, 5, 6, 7, 8], // 228\n FORTE[7][7][2], // var\n FORTE[7][7][1], //icv\n ],\n '8,0': [FORTE[7][8][0], // 229\n FORTE[7][8][2], // var\n FORTE[7][8][1], //icv\n ],\n '9,1': [FORTE[7][9][0], // 230\n FORTE[7][9][2], // var\n FORTE[7][9][1], //icv\n ],\n '9,-1': [[0, 2, 4, 5, 6, 7, 8], // 231\n FORTE[7][9][2], // var\n FORTE[7][9][1], //icv\n ],\n '10,1': [FORTE[7][10][0], // 232\n FORTE[7][10][2], // var\n FORTE[7][10][1], //icv\n ],\n '10,-1': [[0, 3, 5, 6, 7, 8, 9], // 233\n FORTE[7][10][2], // var\n FORTE[7][10][1], //icv\n ],\n '11,1': [FORTE[7][11][0], // 234\n FORTE[7][11][2], // var\n FORTE[7][11][1], //icv\n ],\n '11,-1': [[0, 2, 3, 4, 5, 7, 8], // 235\n FORTE[7][11][2], // var\n FORTE[7][11][1], //icv\n ],\n '12,0': [FORTE[7][12][0], // 236\n FORTE[7][12][2], // var\n FORTE[7][12][1], //icv\n ],\n '13,1': [FORTE[7][13][0], // 237\n FORTE[7][13][2], // var\n FORTE[7][13][1], //icv\n ],\n '13,-1': [[0, 2, 3, 4, 6, 7, 8], // 238\n FORTE[7][13][2], // var\n FORTE[7][13][1], //icv\n ],\n '14,1': [FORTE[7][14][0], // 239\n FORTE[7][14][2], // var\n FORTE[7][14][1], //icv\n ],\n '14,-1': [[0, 1, 3, 5, 6, 7, 8], // 240\n FORTE[7][14][2], // var\n FORTE[7][14][1], //icv\n ],\n '15,0': [FORTE[7][15][0], // 241\n FORTE[7][15][2], // var\n FORTE[7][15][1], //icv\n ],\n '16,1': [FORTE[7][16][0], // 242\n FORTE[7][16][2], // var\n FORTE[7][16][1], //icv\n ],\n '16,-1': [[0, 3, 4, 6, 7, 8, 9], // 243\n FORTE[7][16][2], // var\n FORTE[7][16][1], //icv\n ],\n '17,0': [FORTE[7][17][0], // 244\n FORTE[7][17][2], // var\n FORTE[7][17][1], //icv\n ],\n '18,1': [FORTE[7][18][0], // 245\n FORTE[7][18][2], // var\n FORTE[7][18][1], //icv\n ],\n '18,-1': [[0, 1, 4, 6, 7, 8, 9], // 246\n FORTE[7][18][2], // var\n FORTE[7][18][1], //icv\n ],\n '19,1': [FORTE[7][19][0], // 247\n FORTE[7][19][2], // var\n FORTE[7][19][1], //icv\n ],\n '19,-1': [[0, 2, 3, 6, 7, 8, 9], // 248\n FORTE[7][19][2], // var\n FORTE[7][19][1], //icv\n ],\n '20,1': [FORTE[7][20][0], // 249\n FORTE[7][20][2], // var\n FORTE[7][20][1], //icv\n ],\n '20,-1': [[0, 1, 2, 5, 7, 8, 9], // 250\n FORTE[7][20][2], // var\n FORTE[7][20][1], //icv\n ],\n '21,1': [FORTE[7][21][0], // 251\n FORTE[7][21][2], // var\n FORTE[7][21][1], //icv\n ],\n '21,-1': [[0, 1, 4, 5, 7, 8, 9], // 252\n FORTE[7][21][2], // var\n FORTE[7][21][1], //icv\n ],\n '22,0': [FORTE[7][22][0], // 253\n FORTE[7][22][2], // var\n FORTE[7][22][1], //icv\n ],\n '23,1': [FORTE[7][23][0], // 254\n FORTE[7][23][2], // var\n FORTE[7][23][1], //icv\n ],\n '23,-1': [[0, 2, 4, 5, 6, 7, 9], // 255\n FORTE[7][23][2], // var\n FORTE[7][23][1], //icv\n ],\n '24,1': [FORTE[7][24][0], // 256\n FORTE[7][24][2], // var\n FORTE[7][24][1], //icv\n ],\n '24,-1': [[0, 2, 4, 6, 7, 8, 9], // 257\n FORTE[7][24][2], // var\n FORTE[7][24][1], //icv\n ],\n '25,1': [FORTE[7][25][0], // 258\n FORTE[7][25][2], // var\n FORTE[7][25][1], //icv\n ],\n '25,-1': [[0, 2, 3, 5, 6, 7, 9], // 259\n FORTE[7][25][2], // var\n FORTE[7][25][1], //icv\n ],\n '26,1': [FORTE[7][26][0], // 260\n FORTE[7][26][2], // var\n FORTE[7][26][1], //icv\n ],\n '26,-1': [[0, 2, 4, 5, 6, 8, 9], // 261\n FORTE[7][26][2], // var\n FORTE[7][26][1], //icv\n ],\n '27,1': [FORTE[7][27][0], // 262\n FORTE[7][27][2], // var\n FORTE[7][27][1], //icv\n ],\n '27,-1': [[0, 2, 4, 5, 7, 8, 9], // 263\n FORTE[7][27][2], // var\n FORTE[7][27][1], //icv\n ],\n '28,1': [FORTE[7][28][0], // 264\n FORTE[7][28][2], // var\n FORTE[7][28][1], //icv\n ],\n '28,-1': [[0, 2, 3, 4, 6, 8, 9], // 265\n FORTE[7][28][2], // var\n FORTE[7][28][1], //icv\n ],\n '29,1': [FORTE[7][29][0], // 266\n FORTE[7][29][2], // var\n FORTE[7][29][1], //icv\n ],\n '29,-1': [[0, 2, 3, 5, 7, 8, 9], // 267\n FORTE[7][29][2], // var\n FORTE[7][29][1], //icv\n ],\n '30,1': [FORTE[7][30][0], // 268\n FORTE[7][30][2], // var\n FORTE[7][30][1], //icv\n ],\n '30,-1': [[0, 1, 3, 5, 7, 8, 9], // 269\n FORTE[7][30][2], // var\n FORTE[7][30][1], //icv\n ],\n '31,1': [FORTE[7][31][0], // 270\n FORTE[7][31][2], // var\n FORTE[7][31][1], //icv\n ],\n '31,-1': [[0, 2, 3, 5, 6, 8, 9], // 271\n FORTE[7][31][2], // var\n FORTE[7][31][1], //icv\n ],\n '32,1': [FORTE[7][32][0], // 272\n FORTE[7][32][2], // var\n FORTE[7][32][1], //icv\n ],\n '32,-1': [[0, 1, 3, 5, 6, 8, 9], // 273\n FORTE[7][32][2], // var\n FORTE[7][32][1], //icv\n ],\n '33,0': [FORTE[7][33][0], // 274\n FORTE[7][33][2], // var\n FORTE[7][33][1], //icv\n ],\n '34,0': [FORTE[7][34][0], // 275\n FORTE[7][34][2], // var\n FORTE[7][34][1], //icv\n ],\n '35,0': [FORTE[7][35][0], // 276\n FORTE[7][35][2], // var\n FORTE[7][35][1], //icv\n ],\n '36,1': [FORTE[7][36][0], // 277\n FORTE[7][36][2], // var\n FORTE[7][36][1], //icv\n ],\n '36,-1': [[0, 2, 3, 5, 6, 7, 8], // 278\n FORTE[7][36][2], // var\n FORTE[7][36][1], //icv\n ],\n '37,0': [FORTE[7][37][0], // 279\n FORTE[7][37][2], // var\n FORTE[7][37][1], //icv\n ],\n '38,1': [FORTE[7][38][0], // 280\n FORTE[7][38][2], // var\n FORTE[7][38][1], //icv\n ],\n '38,-1': [[0, 1, 3, 4, 6, 7, 8], // 281\n FORTE[7][38][2], // var\n FORTE[7][38][1], //icv\n ],\n};\n// cardinality 8\nconst card_8 ={\n '1,0': [FORTE[8][1][0], // 282\n FORTE[8][1][2], // var\n FORTE[8][1][1], //icv\n ],\n '2,1': [FORTE[8][2][0], // 283\n FORTE[8][2][2], // var\n FORTE[8][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4, 5, 6, 7, 8], // 284\n FORTE[8][2][2], // var\n FORTE[8][2][1], //icv\n ],\n '3,0': [FORTE[8][3][0], // 285\n FORTE[8][3][2], // var\n FORTE[8][3][1], //icv\n ],\n '4,1': [FORTE[8][4][0], // 286\n FORTE[8][4][2], // var\n FORTE[8][4][1], //icv\n ],\n '4,-1': [[0, 1, 3, 4, 5, 6, 7, 8], // 287\n FORTE[8][4][2], // var\n FORTE[8][4][1], //icv\n ],\n '5,1': [FORTE[8][5][0], // 288\n FORTE[8][5][2], // var\n FORTE[8][5][1], //icv\n ],\n '5,-1': [[0, 1, 2, 4, 5, 6, 7, 8], // 289\n FORTE[8][5][2], // var\n FORTE[8][5][1], //icv\n ],\n '6,0': [FORTE[8][6][0], // 290\n FORTE[8][6][2], // var\n FORTE[8][6][1], //icv\n ],\n '7,0': [FORTE[8][7][0], // 291\n FORTE[8][7][2], // var\n FORTE[8][7][1], //icv\n ],\n '8,0': [FORTE[8][8][0], // 292\n FORTE[8][8][2], // var\n FORTE[8][8][1], //icv\n ],\n '9,0': [FORTE[8][9][0], // 293\n FORTE[8][9][2], // var\n FORTE[8][9][1], //icv\n ],\n '10,0': [FORTE[8][10][0], // 294\n FORTE[8][10][2], // var\n FORTE[8][10][1], //icv\n ],\n '11,1': [FORTE[8][11][0], // 295\n FORTE[8][11][2], // var\n FORTE[8][11][1], //icv\n ],\n '11,-1': [[0, 2, 4, 5, 6, 7, 8, 9], // 296\n FORTE[8][11][2], // var\n FORTE[8][11][1], //icv\n ],\n '12,1': [FORTE[8][12][0], // 297\n FORTE[8][12][2], // var\n FORTE[8][12][1], //icv\n ],\n '12,-1': [[0, 2, 3, 4, 5, 6, 8, 9], // 298\n FORTE[8][12][2], // var\n FORTE[8][12][1], //icv\n ],\n '13,1': [FORTE[8][13][0], // 299\n FORTE[8][13][2], // var\n FORTE[8][13][1], //icv\n ],\n '13,-1': [[0, 2, 3, 5, 6, 7, 8, 9], // 300\n FORTE[8][13][2], // var\n FORTE[8][13][1], //icv\n ],\n '14,1': [FORTE[8][14][0], // 301\n FORTE[8][14][2], // var\n FORTE[8][14][1], //icv\n ],\n '14,-1': [[0, 2, 3, 4, 5, 7, 8, 9], // 302\n FORTE[8][14][2], // var\n FORTE[8][14][1], //icv\n ],\n '15,1': [FORTE[8][15][0], // 303\n FORTE[8][15][2], // var\n FORTE[8][15][1], //icv\n ],\n '15,-1': [[0, 1, 3, 5, 6, 7, 8, 9], // 304\n FORTE[8][15][2], // var\n FORTE[8][15][1], //icv\n ],\n '16,1': [FORTE[8][16][0], // 305\n FORTE[8][16][2], // var\n FORTE[8][16][1], //icv\n ],\n '16,-1': [[0, 1, 2, 4, 6, 7, 8, 9], // 306\n FORTE[8][16][2], // var\n FORTE[8][16][1], //icv\n ],\n '17,0': [FORTE[8][17][0], // 307\n FORTE[8][17][2], // var\n FORTE[8][17][1], //icv\n ],\n '18,1': [FORTE[8][18][0], // 308\n FORTE[8][18][2], // var\n FORTE[8][18][1], //icv\n ],\n '18,-1': [[0, 1, 3, 4, 6, 7, 8, 9], // 309\n FORTE[8][18][2], // var\n FORTE[8][18][1], //icv\n ],\n '19,1': [FORTE[8][19][0], // 310\n FORTE[8][19][2], // var\n FORTE[8][19][1], //icv\n ],\n '19,-1': [[0, 1, 3, 4, 5, 7, 8, 9], // 311\n FORTE[8][19][2], // var\n FORTE[8][19][1], //icv\n ],\n '20,0': [FORTE[8][20][0], // 312\n FORTE[8][20][2], // var\n FORTE[8][20][1], //icv\n ],\n '21,0': [FORTE[8][21][0], // 313\n FORTE[8][21][2], // var\n FORTE[8][21][1], //icv\n ],\n '22,1': [FORTE[8][22][0], // 314\n FORTE[8][22][2], // var\n FORTE[8][22][1], //icv\n ],\n '22,-1': [[0, 2, 4, 5, 7, 8, 9, 10], // 315\n FORTE[8][22][2], // var\n FORTE[8][22][1], //icv\n ],\n '23,0': [FORTE[8][23][0], // 316\n FORTE[8][23][2], // var\n FORTE[8][23][1], //icv\n ],\n '24,0': [FORTE[8][24][0], // 317\n FORTE[8][24][2], // var\n FORTE[8][24][1], //icv\n ],\n '25,0': [FORTE[8][25][0], // 318\n FORTE[8][25][2], // var\n FORTE[8][25][1], //icv\n ],\n '26,0': [FORTE[8][26][0], // 319\n FORTE[8][26][2], // var\n FORTE[8][26][1], //icv\n ],\n '27,1': [FORTE[8][27][0], // 320\n FORTE[8][27][2], // var\n FORTE[8][27][1], //icv\n ],\n '27,-1': [[0, 2, 3, 5, 6, 8, 9, 10], // 321\n FORTE[8][27][2], // var\n FORTE[8][27][1], //icv\n ],\n '28,0': [FORTE[8][28][0], // 322\n FORTE[8][28][2], // var\n FORTE[8][28][1], //icv\n ],\n '29,1': [FORTE[8][29][0], // 323\n FORTE[8][29][2], // var\n FORTE[8][29][1], //icv\n ],\n '29,-1': [[0, 2, 3, 4, 6, 7, 8, 9], // 324\n FORTE[8][29][2], // var\n FORTE[8][29][1], //icv\n ],\n};\n// cardinality 9\nconst card_9 ={\n '1,0': [FORTE[9][1][0], // 325\n FORTE[9][1][2], // var\n FORTE[9][1][1], //icv\n ],\n '2,1': [FORTE[9][2][0], // 326\n FORTE[9][2][2], // var\n FORTE[9][2][1], //icv\n ],\n '2,-1': [[0, 2, 3, 4, 5, 6, 7, 8, 9], // 327\n FORTE[9][2][2], // var\n FORTE[9][2][1], //icv\n ],\n '3,1': [FORTE[9][3][0], // 328\n FORTE[9][3][2], // var\n FORTE[9][3][1], //icv\n ],\n '3,-1': [[0, 1, 3, 4, 5, 6, 7, 8, 9], // 329\n FORTE[9][3][2], // var\n FORTE[9][3][1], //icv\n ],\n '4,1': [FORTE[9][4][0], // 330\n FORTE[9][4][2], // var\n FORTE[9][4][1], //icv\n ],\n '4,-1': [[0, 1, 2, 4, 5, 6, 7, 8, 9], // 331\n FORTE[9][4][2], // var\n FORTE[9][4][1], //icv\n ],\n '5,1': [FORTE[9][5][0], // 332\n FORTE[9][5][2], // var\n FORTE[9][5][1], //icv\n ],\n '5,-1': [[0, 1, 2, 3, 5, 6, 7, 8, 9], // 333\n FORTE[9][5][2], // var\n FORTE[9][5][1], //icv\n ],\n '6,0': [FORTE[9][6][0], // 334\n FORTE[9][6][2], // var\n FORTE[9][6][1], //icv\n ],\n '7,1': [FORTE[9][7][0], // 335\n FORTE[9][7][2], // var\n FORTE[9][7][1], //icv\n ],\n '7,-1': [[0, 2, 3, 5, 6, 7, 8, 9, 10], // 336\n FORTE[9][7][2], // var\n FORTE[9][7][1], //icv\n ],\n '8,1': [FORTE[9][8][0], // 337\n FORTE[9][8][2], // var\n FORTE[9][8][1], //icv\n ],\n '8,-1': [[0, 2, 3, 4, 6, 7, 8, 9, 10], // 338\n FORTE[9][8][2], // var\n FORTE[9][8][1], //icv\n ],\n '9,0': [FORTE[9][9][0], // 339\n FORTE[9][9][2], // var\n FORTE[9][9][1], //icv\n ],\n '10,0': [FORTE[9][10][0], // 340\n FORTE[9][10][2], // var\n FORTE[9][10][1], //icv\n ],\n '11,1': [FORTE[9][11][0], // 341\n FORTE[9][11][2], // var\n FORTE[9][11][1], //icv\n ],\n '11,-1': [[0, 1, 3, 4, 5, 7, 8, 9, 10], // 342\n FORTE[9][11][2], // var\n FORTE[9][11][1], //icv\n ],\n '12,0': [FORTE[9][12][0], // 343\n FORTE[9][12][2], // var\n FORTE[9][12][1], //icv\n ],\n};\n// cardinality 10\nconst card_10 ={\n '1,0': [FORTE[10][1][0], // 344\n FORTE[10][1][2], // var\n FORTE[10][1][1], //icv\n ],\n '2,0': [FORTE[10][2][0], // 345\n FORTE[10][2][2], // var\n FORTE[10][2][1], //icv\n ],\n '3,0': [FORTE[10][3][0], // 346\n FORTE[10][3][2], // var\n FORTE[10][3][1], //icv\n ],\n '4,0': [FORTE[10][4][0], // 347\n FORTE[10][4][2], // var\n FORTE[10][4][1], //icv\n ],\n '5,0': [FORTE[10][5][0], // 348\n FORTE[10][5][2], // var\n FORTE[10][5][1], //icv\n ],\n '6,0': [FORTE[10][6][0], // 349\n FORTE[10][6][2], // var\n FORTE[10][6][1], //icv\n ],\n};\n// cardinality 11\nconst card_11 ={\n '1,0': [FORTE[11][1][0], // 350\n FORTE[11][1][2], // var\n FORTE[11][1][1], //icv\n ],\n};\n// cardinality 12\nconst card_12 ={\n '1,0': [FORTE[12][1][0], // 351\n FORTE[12][1][2], // var\n FORTE[12][1][1], //icv\n ],\n};\n\n//-------------------------------------------------------------------------------\nexport const SCDICT = {\n 1: card_1,\n 2: card_2,\n 3: card_3,\n 4: card_4,\n 5: card_5,\n 6: card_6,\n 7: card_7,\n 8: card_8,\n 9: card_9,\n 10: card_10,\n 11: card_11,\n 12: card_12,\n};\n\n//-------------------------------------------------------------------------------\n// these dicts provide index max fr cardinality key\nexport const TNMAX = {\n 0: 1, 1: 1, 2: 6, 3: 19, 4: 43, 5: 66, 6: 80,\n 7: 66, 8: 43, 9: 19, 10: 6, 11: 1, 12: 1,\n};\nexport const TNIMAX = {\n 0: 1, 1: 1, 2: 6, 3: 12, 4: 29, 5: 38, 6: 50,\n 7: 38, 8: 29, 9: 12, 10: 6, 11: 1, 12: 1,\n};\n\n// used to find TnI index numbers under Tn classification\nexport const TNREF = {\n '1,1,0': 1,\n '2,1,0': 1,\n '2,2,0': 2,\n '2,3,0': 3,\n '2,4,0': 4,\n '2,5,0': 5,\n '2,6,0': 6,\n '3,1,0': 1,\n '3,2,1': 2,\n '3,2,-1': 3,\n '3,3,1': 4,\n '3,3,-1': 5,\n '3,4,1': 6,\n '3,4,-1': 7,\n '3,5,1': 8,\n '3,5,-1': 9,\n '3,6,0': 10,\n '3,7,1': 11,\n '3,7,-1': 12,\n '3,8,1': 13,\n '3,8,-1': 14,\n '3,9,0': 15,\n '3,10,0': 16,\n '3,11,1': 17,\n '3,11,-1': 18,\n '3,12,0': 19,\n '4,1,0': 1,\n '4,2,1': 2,\n '4,2,-1': 3,\n '4,3,0': 4,\n '4,4,1': 5,\n '4,4,-1': 6,\n '4,5,1': 7,\n '4,5,-1': 8,\n '4,6,0': 9,\n '4,7,0': 10,\n '4,8,0': 11,\n '4,9,0': 12,\n '4,10,0': 13,\n '4,11,1': 14,\n '4,11,-1': 15,\n '4,12,1': 16,\n '4,12,-1': 17,\n '4,13,1': 18,\n '4,13,-1': 19,\n '4,14,1': 20,\n '4,14,-1': 21,\n '4,15,1': 22,\n '4,15,-1': 23,\n '4,16,1': 24,\n '4,16,-1': 25,\n '4,17,0': 26,\n '4,18,1': 27,\n '4,18,-1': 28,\n '4,19,1': 29,\n '4,19,-1': 30,\n '4,20,0': 31,\n '4,21,0': 32,\n '4,22,1': 33,\n '4,22,-1': 34,\n '4,23,0': 35,\n '4,24,0': 36,\n '4,25,0': 37,\n '4,26,0': 38,\n '4,27,1': 39,\n '4,27,-1': 40,\n '4,28,0': 41,\n '4,29,1': 42,\n '4,29,-1': 43,\n '5,1,0': 1,\n '5,2,1': 2,\n '5,2,-1': 3,\n '5,3,1': 4,\n '5,3,-1': 5,\n '5,4,1': 6,\n '5,4,-1': 7,\n '5,5,1': 8,\n '5,5,-1': 9,\n '5,6,1': 10,\n '5,6,-1': 11,\n '5,7,1': 12,\n '5,7,-1': 13,\n '5,8,0': 14,\n '5,9,1': 15,\n '5,9,-1': 16,\n '5,10,1': 17,\n '5,10,-1': 18,\n '5,11,1': 19,\n '5,11,-1': 20,\n '5,12,0': 21,\n '5,13,1': 22,\n '5,13,-1': 23,\n '5,14,1': 24,\n '5,14,-1': 25,\n '5,15,0': 26,\n '5,16,1': 27,\n '5,16,-1': 28,\n '5,17,0': 29,\n '5,18,1': 30,\n '5,18,-1': 31,\n '5,19,1': 32,\n '5,19,-1': 33,\n '5,20,1': 34,\n '5,20,-1': 35,\n '5,21,1': 36,\n '5,21,-1': 37,\n '5,22,0': 38,\n '5,23,1': 39,\n '5,23,-1': 40,\n '5,24,1': 41,\n '5,24,-1': 42,\n '5,25,1': 43,\n '5,25,-1': 44,\n '5,26,1': 45,\n '5,26,-1': 46,\n '5,27,1': 47,\n '5,27,-1': 48,\n '5,28,1': 49,\n '5,28,-1': 50,\n '5,29,1': 51,\n '5,29,-1': 52,\n '5,30,1': 53,\n '5,30,-1': 54,\n '5,31,1': 55,\n '5,31,-1': 56,\n '5,32,1': 57,\n '5,32,-1': 58,\n '5,33,0': 59,\n '5,34,0': 60,\n '5,35,0': 61,\n '5,36,1': 62,\n '5,36,-1': 63,\n '5,37,0': 64,\n '5,38,1': 65,\n '5,38,-1': 66,\n '6,1,0': 1,\n '6,2,1': 2,\n '6,2,-1': 3,\n '6,3,1': 4,\n '6,3,-1': 5,\n '6,4,0': 6,\n '6,5,1': 7,\n '6,5,-1': 8,\n '6,6,0': 9,\n '6,7,0': 10,\n '6,8,0': 11,\n '6,9,1': 12,\n '6,9,-1': 13,\n '6,10,1': 14,\n '6,10,-1': 15,\n '6,11,1': 16,\n '6,11,-1': 17,\n '6,12,1': 18,\n '6,12,-1': 19,\n '6,13,0': 20,\n '6,14,1': 21,\n '6,14,-1': 22,\n '6,15,1': 23,\n '6,15,-1': 24,\n '6,16,1': 25,\n '6,16,-1': 26,\n '6,17,1': 27,\n '6,17,-1': 28,\n '6,18,1': 29,\n '6,18,-1': 30,\n '6,19,1': 31,\n '6,19,-1': 32,\n '6,20,0': 33,\n '6,21,1': 34,\n '6,21,-1': 35,\n '6,22,1': 36,\n '6,22,-1': 37,\n '6,23,0': 38,\n '6,24,1': 39,\n '6,24,-1': 40,\n '6,25,1': 41,\n '6,25,-1': 42,\n '6,26,0': 43,\n '6,27,1': 44,\n '6,27,-1': 45,\n '6,28,0': 46,\n '6,29,0': 47,\n '6,30,1': 48,\n '6,30,-1': 49,\n '6,31,1': 50,\n '6,31,-1': 51,\n '6,32,0': 52,\n '6,33,1': 53,\n '6,33,-1': 54,\n '6,34,1': 55,\n '6,34,-1': 56,\n '6,35,0': 57,\n '6,36,1': 58,\n '6,36,-1': 59,\n '6,37,0': 60,\n '6,38,0': 61,\n '6,39,1': 62,\n '6,39,-1': 63,\n '6,40,1': 64,\n '6,40,-1': 65,\n '6,41,1': 66,\n '6,41,-1': 67,\n '6,42,0': 68,\n '6,43,1': 69,\n '6,43,-1': 70,\n '6,44,1': 71,\n '6,44,-1': 72,\n '6,45,0': 73,\n '6,46,1': 74,\n '6,46,-1': 75,\n '6,47,1': 76,\n '6,47,-1': 77,\n '6,48,0': 78,\n '6,49,0': 79,\n '6,50,0': 80,\n '7,1,0': 1,\n '7,2,1': 2,\n '7,2,-1': 3,\n '7,3,1': 4,\n '7,3,-1': 5,\n '7,4,1': 6,\n '7,4,-1': 7,\n '7,5,1': 8,\n '7,5,-1': 9,\n '7,6,1': 10,\n '7,6,-1': 11,\n '7,7,1': 12,\n '7,7,-1': 13,\n '7,8,0': 14,\n '7,9,1': 15,\n '7,9,-1': 16,\n '7,10,1': 17,\n '7,10,-1': 18,\n '7,11,1': 19,\n '7,11,-1': 20,\n '7,12,0': 21,\n '7,13,1': 22,\n '7,13,-1': 23,\n '7,14,1': 24,\n '7,14,-1': 25,\n '7,15,0': 26,\n '7,16,1': 27,\n '7,16,-1': 28,\n '7,17,0': 29,\n '7,18,1': 30,\n '7,18,-1': 31,\n '7,19,1': 32,\n '7,19,-1': 33,\n '7,20,1': 34,\n '7,20,-1': 35,\n '7,21,1': 36,\n '7,21,-1': 37,\n '7,22,0': 38,\n '7,23,1': 39,\n '7,23,-1': 40,\n '7,24,1': 41,\n '7,24,-1': 42,\n '7,25,1': 43,\n '7,25,-1': 44,\n '7,26,1': 45,\n '7,26,-1': 46,\n '7,27,1': 47,\n '7,27,-1': 48,\n '7,28,1': 49,\n '7,28,-1': 50,\n '7,29,1': 51,\n '7,29,-1': 52,\n '7,30,1': 53,\n '7,30,-1': 54,\n '7,31,1': 55,\n '7,31,-1': 56,\n '7,32,1': 57,\n '7,32,-1': 58,\n '7,33,0': 59,\n '7,34,0': 60,\n '7,35,0': 61,\n '7,36,1': 62,\n '7,36,-1': 63,\n '7,37,0': 64,\n '7,38,1': 65,\n '7,38,-1': 66,\n '8,1,0': 1,\n '8,2,1': 2,\n '8,2,-1': 3,\n '8,3,0': 4,\n '8,4,1': 5,\n '8,4,-1': 6,\n '8,5,1': 7,\n '8,5,-1': 8,\n '8,6,0': 9,\n '8,7,0': 10,\n '8,8,0': 11,\n '8,9,0': 12,\n '8,10,0': 13,\n '8,11,1': 14,\n '8,11,-1': 15,\n '8,12,1': 16,\n '8,12,-1': 17,\n '8,13,1': 18,\n '8,13,-1': 19,\n '8,14,1': 20,\n '8,14,-1': 21,\n '8,15,1': 22,\n '8,15,-1': 23,\n '8,16,1': 24,\n '8,16,-1': 25,\n '8,17,0': 26,\n '8,18,1': 27,\n '8,18,-1': 28,\n '8,19,1': 29,\n '8,19,-1': 30,\n '8,20,0': 31,\n '8,21,0': 32,\n '8,22,1': 33,\n '8,22,-1': 34,\n '8,23,0': 35,\n '8,24,0': 36,\n '8,25,0': 37,\n '8,26,0': 38,\n '8,27,1': 39,\n '8,27,-1': 40,\n '8,28,0': 41,\n '8,29,1': 42,\n '8,29,-1': 43,\n '9,1,0': 1,\n '9,2,1': 2,\n '9,2,-1': 3,\n '9,3,1': 4,\n '9,3,-1': 5,\n '9,4,1': 6,\n '9,4,-1': 7,\n '9,5,1': 8,\n '9,5,-1': 9,\n '9,6,0': 10,\n '9,7,1': 11,\n '9,7,-1': 12,\n '9,8,1': 13,\n '9,8,-1': 14,\n '9,9,0': 15,\n '9,10,0': 16,\n '9,11,1': 17,\n '9,11,-1': 18,\n '9,12,0': 19,\n '10,1,0': 1,\n '10,2,0': 2,\n '10,3,0': 3,\n '10,4,0': 4,\n '10,5,0': 5,\n '10,6,0': 6,\n '11,1,0': 1,\n '12,1,0': 1,\n};\n\n\n// -----------------------------------------------------------------||||||||||||--\n// reference dict stores name and citation references\n\n// names found from many sources, including:\n// http://solo1.home.mindspring.com/pcsets.htm\n// Larry Solomon, 1997, 2000\n// Larry Solomon's 'The List of Chords, Their Properties and Use in Analysis,'\n// in Interface, Journal of New Music Research , 1982, v11/2.\n// http://www.sweb.cz/vladimir_ladma/english/music/structs/mus_rot.htm\n// Vladimir Ladma, Czech Republic\n\n// some changes: unison preferred to monad\n\n\nexport const SCREF = {\n '1,1,0': { 'name': ['unison', 'monad', 'singleton'] },\n '2,1,0': {\n 'name': ['interval class 1', 'minor second', 'm2',\n 'half step', 'semitone'],\n },\n '2,2,0': {\n 'name': ['interval class 2', 'major second', 'M2',\n 'whole step', 'whole tone'],\n },\n '2,3,0': { 'name': ['interval class 3', 'minor third', 'm3'] },\n '2,4,0': { 'name': ['interval class 4', 'major third', 'M3'] },\n '2,5,0': { 'name': ['interval class 5', 'perfect fourth', 'P4'] },\n '2,6,0': { 'name': ['tritone', 'diminished fifth', 'augmented fourth'] },\n '3,1,0': { 'name': ['chromatic trimirror'] },\n '3,2,1': { 'name': ['phrygian trichord'] },\n '3,2,-1': { 'name': ['minor trichord'] },\n '3,3,1': { 'name': ['major-minor trichord'] },\n '3,3,-1': { 'name': ['major-minor trichord'] },\n '3,4,1': { 'name': ['incomplete major-seventh chord'] },\n '3,4,-1': { 'name': ['incomplete major-seventh chord'] },\n '3,5,1': { 'name': ['tritone-fourth'] },\n '3,5,-1': { 'name': ['tritone-fourth'] },\n '3,6,0': { 'name': ['whole-tone trichord'] },\n '3,7,1': { 'name': ['incomplete minor-seventh chord'] },\n '3,7,-1': { 'name': ['incomplete dominant-seventh chord'] },\n '3,8,1': { 'name': ['incomplete dominant-seventh chord', 'Italian augmented sixth chord'] },\n '3,8,-1': { 'name': ['incomplete half-diminished seventh chord'] },\n '3,9,0': { 'name': ['quartal trichord'] },\n '3,10,0': { 'name': ['diminished triad'] },\n '3,11,1': { 'name': ['minor triad'] },\n '3,11,-1': { 'name': ['major triad'] },\n '3,12,0': { 'name': ['augmented triad', 'equal 3-part octave division'] },\n '4,1,0': { 'name': ['chromatic tetramirror', 'BACH'] },\n '4,2,1': { 'name': ['major-second tetracluster'] },\n '4,2,-1': { 'name': ['major-second tetracluster'] },\n '4,3,0': { 'name': ['alternating tetramirror'] },\n '4,4,1': { 'name': ['minor third tetracluster'] },\n '4,4,-1': { 'name': ['minor third tetracluster'] },\n '4,5,1': { 'name': ['major third tetracluster'] },\n '4,5,-1': { 'name': ['major third tetracluster'] },\n '4,6,0': { 'name': ['perfect fourth tetramirror'] },\n '4,7,0': { 'name': ['Arabian tetramirror'] },\n '4,8,0': { 'name': ['double-fourth tetramirror'] },\n '4,9,0': { 'name': ['double tritone tetramirror'] },\n '4,10,0': { 'name': ['minor tetramirror'] },\n '4,11,1': { 'name': ['phrygian tetrachord'] },\n '4,11,-1': { 'name': ['lydian tetrachord', 'major tetrachord'] },\n '4,12,1': { 'name': ['harmonic minor tetrachord'] },\n '4,12,-1': { 'name': ['major-third diminished tetrachord'] },\n '4,13,1': { 'name': ['minor-second diminished tetrachord'] },\n '4,13,-1': { 'name': ['perfect-fourth diminished tetrachord'] },\n '4,14,1': { 'name': ['major-second minor tetrachord'] },\n '4,14,-1': { 'name': ['perfect-fourth major tetrachord'] },\n '4,15,1': { 'name': ['all-interval tetrachord'] },\n '4,15,-1': { 'name': ['all-interval tetrachord'] },\n '4,16,1': { 'name': ['minor-second quartal tetrachord'] },\n '4,16,-1': { 'name': ['tritone quartal tetrachord'] },\n '4,17,0': { 'name': ['major-minor tetramirror'] },\n '4,18,1': { 'name': ['major-diminished tetrachord'] },\n '4,18,-1': { 'name': ['minor-diminished tetrachord'] },\n '4,19,1': { 'name': ['minor-augmented tetrachord'] },\n '4,19,-1': { 'name': ['augmented major tetrachord'] },\n '4,20,0': { 'name': ['major seventh chord'] },\n '4,21,0': { 'name': ['whole-tone tetramirror'] },\n '4,22,1': { 'name': ['major-second major tetrachord'] },\n '4,22,-1': { 'name': ['perfect-fourth minor tetrachord'] },\n '4,23,0': { 'name': ['quartal tetramirror'] },\n '4,24,0': { 'name': ['augmented seventh chord'] },\n '4,25,0': { 'name': [\"Messiaen's truncated mode 6\", 'French augmented sixth chord'] },\n '4,26,0': { 'name': ['minor seventh chord'] },\n '4,27,1': { 'name': ['half-diminished seventh chord'] },\n '4,27,-1': {\n 'name': ['dominant seventh chord',\n 'major minor seventh chord', 'German augmented sixth chord', 'Swiss augmented sixth chord'],\n },\n '4,28,0': { 'name': ['diminished seventh chord', 'equal 4-part octave division'] },\n '4,29,1': { 'name': ['all-interval tetrachord'] },\n '4,29,-1': { 'name': ['all-interval tetrachord'] },\n '5,1,0': { 'name': ['chromatic pentamirror'] },\n '5,2,1': { 'name': ['major-second pentacluster'] },\n '5,2,-1': { 'name': ['major-second pentacluster'] },\n '5,3,1': { 'name': ['minor-second major pentachord'] },\n '5,3,-1': { 'name': ['Spanish pentacluster'] },\n '5,4,1': { 'name': ['blues pentacluster'] },\n '5,4,-1': { 'name': ['minor-third pentacluster'] },\n '5,5,1': { 'name': ['major-third pentacluster'] },\n '5,5,-1': { 'name': ['major-third pentacluster'] },\n '5,6,1': { 'name': ['Asian pentacluster', 'quasi raga Megharanji'] },\n '5,6,-1': { 'name': ['Asian pentacluster'] },\n '5,7,1': { 'name': ['double pentacluster', 'quasi raga Nabhomani '] },\n '5,7,-1': { 'name': ['double pentacluster'] },\n '5,8,0': { 'name': ['tritone-symmetric pentamirror'] },\n '5,9,1': { 'name': ['tritone-expanding pentachord'] },\n '5,9,-1': { 'name': ['tritone-contracting pentachord'] },\n '5,10,1': { 'name': ['alternating pentachord'] },\n '5,10,-1': { 'name': ['alternating pentachord'] },\n '5,11,1': { 'name': ['center-cluster pentachord'] },\n '5,11,-1': { 'name': ['center-cluster pentachord'] },\n '5,12,0': { 'name': ['locrian pentachord'] },\n '5,13,1': { 'name': ['augmented pentacluster'] },\n '5,13,-1': { 'name': ['augmented pentacluster'] },\n '5,14,1': { 'name': ['double-seconds triple-fourth pentachord'] },\n '5,14,-1': { 'name': ['double-seconds triple-fourth pentachord'] },\n '5,15,0': { 'name': ['asymmetric pentamirror'] },\n '5,16,1': { 'name': ['major-minor-diminished pentachord'] },\n '5,16,-1': { 'name': ['major-minor diminished pentachord'] },\n '5,17,0': { 'name': ['minor-major ninth chord'] },\n '5,18,1': { 'name': ['Roma [Gypsy] pentachord'] },\n '5,18,-1': { 'name': ['Roma [Gypsy] pentachord'] },\n '5,19,1': { 'name': ['Javanese pentachord'] },\n '5,19,-1': { 'name': ['Balinese pentachord'] },\n '5,20,1': {\n 'name': ['Balinese Pelog pentatonic',\n 'quasi raga Bhupala', 'quasi raga Bibhas'],\n },\n '5,20,-1': { 'name': ['Hirajoshi pentatonic', 'Iwato', 'Sakura', 'quasi raga Saveri'] },\n '5,21,1': {\n 'name': ['major-augmented ninth chord', 'Syrian pentatonic',\n 'quasi raga Megharanji'],\n },\n '5,21,-1': { 'name': ['Lebanese pentachord', 'augmented-minor chord'] },\n '5,22,0': { 'name': ['Persian pentamirror', 'quasi raga Ramkali'] },\n '5,23,1': { 'name': ['dorian pentachord', 'minor pentachord'] },\n '5,23,-1': { 'name': ['major pentachord'] },\n '5,24,1': { 'name': ['phrygian pentachord'] },\n '5,24,-1': { 'name': ['lydian pentachord'] },\n '5,25,1': { 'name': ['diminished-major ninth chord'] },\n '5,25,-1': { 'name': ['minor-diminished ninth chord'] },\n '5,26,1': { 'name': ['diminished-augmented ninth chord'] },\n '5,26,-1': { 'name': ['augmented-diminished ninth chord'] },\n '5,27,1': { 'name': ['major-ninth chord'] },\n '5,27,-1': { 'name': ['minor-ninth chord'] },\n '5,28,1': { 'name': ['augmented-sixth pentachord'] },\n '5,28,-1': { 'name': ['Javanese pentatonic', 'augmented-sixth pentachord'] },\n '5,29,1': { 'name': ['Kumoi pentachord'] },\n '5,29,-1': { 'name': ['Kumoi pentachord'] },\n '5,30,1': { 'name': ['enigmatic pentachord'] },\n '5,30,-1': { 'name': ['enigmatic pentachord', 'altered pentatonic'] },\n '5,31,1': { 'name': ['diminished minor-ninth chord'] },\n '5,31,-1': { 'name': ['flat-ninth pentachord', 'quasi raga Ranjaniraga'] },\n '5,32,1': { 'name': ['Neapolitan pentachord'] },\n '5,32,-1': { 'name': ['Neapolitan pentachord'] },\n '5,33,0': { 'name': ['whole-tone pentachord'] },\n '5,34,0': {\n 'name': ['dominant-ninth', 'major-minor', 'Prometheus pentamirror',\n 'dominant pentatonic'],\n },\n '5,35,0': {\n 'name': ['major pentatonic', 'black-key scale', 'blues pentatonic',\n 'slendro', 'quartal pentamirror'],\n },\n '5,36,1': { 'name': ['major-seventh pentacluster'] },\n '5,36,-1': { 'name': ['minor-seventh pentacluster'] },\n '5,37,0': { 'name': ['center-cluster pentamirror'] },\n '5,38,1': { 'name': ['diminished pentacluster'] },\n '5,38,-1': { 'name': ['diminished pentacluster'] },\n '6,1,0': {\n 'name': ['A all combinatorial [P6, I11, RI5, RI11]', 'chromatic hexamirror',\n 'first-order all-combinatorial'],\n },\n '6,2,1': { 'name': ['combinatorial I [I11]'] },\n '6,2,-1': { 'name': ['combinatorial I [I1]'] },\n '6,3,1': {},\n '6,3,-1': {},\n '6,4,0': { 'name': ['combinatorial RI [RI6]'] },\n '6,5,1': { 'name': ['combinatorial I [I11]'] },\n '6,5,-1': { 'name': ['combinatorial I [I3]'] },\n '6,6,0': { 'name': ['double cluster hexamirror'] },\n '6,7,0': {\n 'name': ['B all combinatorial [P3, P9, I5, R6, R12, R8]',\n \"Messiaen's mode 5\",\n 'second-order all combinatorial'],\n },\n '6,8,0': { 'name': ['D all combinatorial [P6, I1, RI7]'] },\n '6,9,1': { 'name': ['combinatorial I [I11]'] },\n '6,9,-1': { 'name': ['combinatorial I [I3]'] },\n '6,10,1': {},\n '6,10,-1': {},\n '6,11,1': {},\n '6,11,-1': {},\n '6,12,1': {},\n '6,12,-1': {},\n '6,13,0': { 'name': ['alternating hexamirror', 'combinatorial I [I7]'] },\n '6,14,1': { 'name': ['combinatorial P [P6]'] },\n '6,14,-1': { 'name': ['combinatorial P [P6]'] },\n '6,15,1': { 'name': ['combinatorial I [I11]'] },\n '6,15,-1': { 'name': ['combinatorial I [I5]'] },\n '6,16,1': { 'name': ['combinatorial I [I3]'] },\n '6,16,-1': { 'name': ['combinatorial I [I1]', 'quasi raga Megha'] },\n '6,17,1': { 'name': ['all tri-chord hexachord'] },\n '6,17,-1': { 'name': ['all tri-chord hexachord [inverted form]'] },\n '6,18,1': { 'name': ['combinatorial I [I11]'] },\n '6,18,-1': { 'name': ['combinatorial I [I5]'] },\n '6,19,1': {},\n '6,19,-1': {},\n '6,20,0': {\n 'name':\n ['E all combinatorial [P2, P6, P10, I3, I7, R4, R8, RI1, RI5, RI9]',\n \"Messiaen's truncated mode 3\", 'Genus tertium',\n 'third-order all combinatorial'],\n },\n '6,21,1': { 'name': ['combinatorial I [I1]'] },\n '6,21,-1': { 'name': ['combinatorial I [I3]'] },\n '6,22,1': { 'name': ['combinatorial I [I11]'] },\n '6,22,-1': { 'name': ['combinatorial I [I5]'] },\n '6,23,0': { 'name': ['combinatorial RI [RI8]', 'super-locrian hexamirror'] },\n '6,24,1': {},\n '6,24,-1': { 'name': ['melodic-minor hexachord'] },\n '6,25,1': { 'name': ['locrian hexachord'] },\n '6,25,-1': { 'name': ['minor hexachord'] },\n '6,26,0': { 'name': ['phrygian hexamirror', 'combinatorial RI [RI8]'] },\n '6,27,1': { 'name': ['combinatorial I [I11]'] },\n '6,27,-1': { 'name': ['combinatorial I [I1]', 'pyramid hexachord'] },\n '6,28,0': { 'name': ['double-phrygian hexachord', 'combinatorial RI [RI6]'] },\n '6,29,0': { 'name': ['combinatorial RI [RI9]'] },\n '6,30,1': {\n 'name': [\"Messiaen's truncated mode 2\", 'minor-bitonal hexachord',\n 'combinatorial R [R6]', 'combinatorial I [I1, I7]'],\n },\n '6,30,-1': {\n 'name': [\"Stravinsky's Petrushka-chord\", \"Messiaen's truncated mode 2\",\n 'major-bitonal hexachord', 'combinatorial R [R6]',\n 'combinatorial I [I1, I7]'],\n },\n '6,31,1': { 'name': ['combinatorial I [I7]'] },\n '6,31,-1': { 'name': ['combinatorial I [I11]'] },\n '6,32,0': {\n 'name': ['C all combinatorial [P6, I3, RI9]', 'Guidon/Arezzo',\n 'Arezzo major diatonic', 'major hexamirror', 'quartal hexamirror',\n 'first-order all combinatorial'],\n },\n '6,33,1': { 'name': ['dorian hexachord', 'combinatorial I [I6]'] },\n '6,33,-1': { 'name': ['dominant-eleventh', 'lydian hexachord', 'combinatorial I [I1]'] },\n '6,34,1': {\n 'name': [\"Scriabin's Mystic-chord\", 'Prometheus hexachord',\n 'combinatorial I [I11]'],\n },\n '6,34,-1': {\n 'name': ['augmented-eleventh', 'harmonic hexachord',\n 'combinatorial I [I7]'],\n },\n '6,35,0': {\n 'name': ['whole tone scale', '6 equal part division',\n 'F all-combinatorial [P1, P3, P5, P7, P9, P11, I1, I3, I5, I7, '\n + 'I9, I11, R2, R4, R6, R8, R10, RI2, RI4, RI6, RI8, RI10]',\n \"Messiaen's mode 1\", 'sixth-order all combinatorial'],\n },\n '6,36,1': {},\n '6,36,-1': {},\n '6,37,0': { 'name': ['combinatorial RI [RI4]'] },\n '6,38,0': { 'name': ['combinatorial RI [RI3]'] },\n '6,39,1': {},\n '6,39,-1': {},\n '6,40,1': {},\n '6,40,-1': {},\n '6,41,1': {},\n '6,41,-1': {},\n '6,42,0': { 'name': ['combinatorial RI [RI3]'] },\n '6,43,1': { 'name': ['complement of all tri-chord hexachord'] },\n '6,43,-1': { 'name': ['complement of all-tri-chord hexachord [inverted form]'] },\n '6,44,1': { 'name': ['Schoenberg Anagram hexachord'] },\n '6,44,-1': { 'name': ['quasi raga Bauli'] },\n '6,45,0': { 'name': ['combinatorial RI [RI6]'] },\n '6,46,1': {},\n '6,46,-1': {},\n '6,47,1': {},\n '6,47,-1': { 'name': ['blues scale'] },\n '6,48,0': { 'name': ['combinatorial RI [RI2]'] },\n '6,49,0': { 'name': ['combinatorial RI [RI4]', 'Prometheus Neapolitan mode'] },\n '6,50,0': { 'name': ['combinatorial RI [RI1]'] },\n '7,1,0': { 'name': ['chromatic heptamirror'] },\n '7,2,1': {},\n '7,2,-1': {},\n '7,3,1': {},\n '7,3,-1': {},\n '7,4,1': {},\n '7,4,-1': {},\n '7,5,1': {},\n '7,5,-1': {},\n '7,6,1': {},\n '7,6,-1': {},\n '7,7,1': {},\n '7,7,-1': {},\n '7,8,0': {},\n '7,9,1': {},\n '7,9,-1': {},\n '7,10,1': {},\n '7,10,-1': {},\n '7,11,1': {},\n '7,11,-1': {},\n '7,12,0': {},\n '7,13,1': {},\n '7,13,-1': {},\n '7,14,1': {},\n '7,14,-1': {},\n '7,15,0': {},\n '7,16,1': { 'name': [\"Debussy's heptatonic\"] },\n '7,16,-1': {},\n '7,17,0': {},\n '7,18,1': {},\n '7,18,-1': {},\n '7,19,1': {},\n '7,19,-1': {},\n '7,20,1': { 'name': ['chromatic phrygian inverse'] },\n '7,20,-1': {\n 'name': ['Greek chromatic', 'chromatic mixolydian', 'chromatic dorian',\n 'quasi raga Pantuvarali', 'mela Kanakangi'],\n },\n '7,21,1': {},\n '7,21,-1': { 'name': ['Gypsy [Roma] hepatonic'] },\n '7,22,0': {\n 'name': ['double harmonic scale', 'Persian', 'major Gypsy [Roma]',\n 'Hungarian minor', 'double harmonic scale', 'Asian',\n 'quasi raga Mayamdavagaula'],\n },\n '7,23,1': {},\n '7,23,-1': { 'name': ['tritone major heptachord'] },\n '7,24,1': {},\n '7,24,-1': { 'name': ['mystic heptachord', 'Enigmatic heptatonic'] },\n '7,25,1': {},\n '7,25,-1': {},\n '7,26,1': {},\n '7,26,-1': {},\n '7,27,1': {},\n '7,27,-1': { 'name': ['modified blues'] },\n '7,28,1': {},\n '7,28,-1': {},\n '7,29,1': {},\n '7,29,-1': {},\n '7,30,1': { 'name': ['Neapolitan-minor mode'] },\n '7,30,-1': {},\n '7,31,1': { 'name': ['alternating heptachord', 'Hungarian major mode'] },\n '7,31,-1': { 'name': ['diminished scale', 'alternating heptachord'] },\n '7,32,1': { 'name': ['harmonic minor scale', 'Spanish Gypsy', 'mela Kiravani'] },\n '7,32,-1': {\n 'name': ['harmonic major scale', 'harmonic minor inverse', 'mela Cakravana',\n 'quasi raga Ahir Bhairav'],\n },\n '7,33,0': { 'name': ['Neapolitan-major mode', 'leading-whole-tone mode'] },\n '7,34,0': {\n 'name': ['melodic minor ascending scale', 'jazz minor',\n 'augmented thirteenth heptamirror', 'harmonic/super-locrian'],\n },\n '7,35,0': {\n 'name': ['major scale', 'major diatonic heptachord', 'natural minor scale',\n 'dominant thirteenth', 'locrian', 'phrygian', 'major inverse'],\n },\n '7,36,1': {},\n '7,36,-1': {},\n '7,37,0': {},\n '7,38,1': {},\n '7,38,-1': {},\n '8,1,0': { 'name': ['chromatic octamirror'] },\n '8,2,1': {},\n '8,2,-1': {},\n '8,3,0': {},\n '8,4,1': {},\n '8,4,-1': {},\n '8,5,1': {},\n '8,5,-1': {},\n '8,6,0': {},\n '8,7,0': {},\n '8,8,0': {},\n '8,9,0': { 'name': [\"Messiaen's mode 4\"] },\n '8,10,0': {},\n '8,11,1': {},\n '8,11,-1': { 'name': ['blues octatonic'] },\n '8,12,1': {},\n '8,12,-1': {},\n '8,13,1': { 'name': ['blues octatonic'] },\n '8,13,-1': {},\n '8,14,1': {},\n '8,14,-1': {},\n '8,15,1': {},\n '8,15,-1': {},\n '8,16,1': {},\n '8,16,-1': { 'name': ['enigmatic octachord'] },\n '8,17,0': {},\n '8,18,1': {},\n '8,18,-1': {},\n '8,19,1': {},\n '8,19,-1': {},\n '8,20,0': {},\n '8,21,0': {},\n '8,22,1': {},\n '8,22,-1': { 'name': ['Spanish octatonic scale'] },\n '8,23,0': { 'name': ['Greek', 'blues', 'quartal octachord', 'diatonic octad'] },\n '8,24,0': {},\n '8,25,0': { 'name': [\"Messiaen's mode 6\"] },\n '8,26,0': { 'name': ['blues', 'Spanish phrygian'] },\n '8,27,1': {},\n '8,27,-1': {},\n '8,28,0': {\n 'name': ['octatonic scale', \"Messiaen's mode 2\",\n 'alternating octatonic scale',\n 'diminished scale'],\n },\n '8,29,1': {},\n '8,29,-1': {},\n\n '9,1,0': { 'name': ['chromatic nonamirror'] },\n '9,2,1': {},\n '9,2,-1': {},\n '9,3,1': {},\n '9,3,-1': {},\n '9,4,1': {},\n '9,4,-1': {},\n '9,5,1': {},\n '9,5,-1': {},\n '9,6,0': {},\n '9,7,1': { 'name': ['nonatonic blues'] },\n '9,7,-1': {},\n '9,8,1': {},\n '9,8,-1': {},\n '9,9,0': {},\n '9,10,0': {},\n '9,11,1': {},\n '9,11,-1': { 'name': ['diminishing nonachord'] },\n '9,12,0': { 'name': [\"Messiaen's mode 3\", 'Tsjerepnin'] },\n\n '10,1,0': { 'name': ['chromatic decamirror'] },\n '10,2,0': {},\n '10,3,0': {},\n '10,4,0': {},\n '10,5,0': { 'name': ['major-minor mixed'] },\n '10,6,0': { 'name': [\"Messiaen's mode 7\"] },\n\n '11,1,0': { 'name': ['chromatic undecamirror'] },\n '12,1,0': {\n 'name': ['aggregate', 'dodecachord', 'twelve-tone chromatic',\n 'chromatic scale', 'dodecamirror'],\n },\n};\n\nexport function forteIndexToInversionsAvailable(card, index) {\n if (card < 1 || card > 12) {\n throw new Error(`cardinality ${card} is not valid`);\n }\n if (index < 1 || index > TNMAX[card]) {\n throw new Error(`index ${index} is invalid`);\n }\n // get morris invariance vector\n const morris = FORTE[card][index][2];\n if (morris[1] > 0) { // second value stored inversion status\n return [0];\n } else {\n return [-1, 1];\n }\n}\n\nfunction _chordTableAddress(cardinality, forteClass, inversion=undefined, pcOriginal=undefined) {\n return {\n cardinality,\n forteClass,\n inversion,\n pcOriginal,\n };\n}\n\nfunction _validateAddress(address) {\n if (address !== undefined && address.cardinality !== undefined) {\n // got an object...\n address = [address.cardinality, address.forteClass, address.inversion, address.pcOriginal];\n }\n\n // noinspection JSObjectNullOrUndefined\n const [card, index] = address.slice(0, 2);\n let inversion;\n if (address.length >= 3 && address[2] !== undefined) {\n inversion = address[2];\n }\n if (card < 1 || card > 13) {\n throw new Error(`cardinality ${card} not valid`);\n }\n // using TN mode for all comparisons\n if (index < 1 || index > TNMAX[card]) {\n throw new Error(`index ${index} not valid`);\n }\n const inversionsAvailable = forteIndexToInversionsAvailable(card, index);\n if (inversion !== undefined) {\n if (!inversionsAvailable.includes(inversion)) {\n throw new Error(`inversion ${inversion} not valid`);\n }\n }\n if (inversion === undefined) { // get a default inversion\n if (inversionsAvailable.includes(0)) {\n inversion = 0;\n } else {\n inversion = 1;\n }\n }\n return [card, index, inversion];\n}\n\nexport function addressToTransposedNormalForm(address) {\n const [card, index, inversion] = _validateAddress(address);\n const i2 = String([index, inversion]);\n return SCDICT[card][i2][0];\n}\n\nexport function addressToPrimeForm(address) {\n const [card, index, inversion] = _validateAddress(address.slice(0, 2));\n const i2 = String([index, inversion]);\n return SCDICT[card][i2][0];\n}\n\nexport function addressToIntervalVector(address) {\n const [card, index, inversion] = _validateAddress(address);\n const i2 = String([index, inversion]);\n return SCDICT[card][i2][2];\n}\n\nexport function intervalVectorToAddress(vector) {\n const post = [];\n for (let card = 1; card < 13; card++) {\n let num = 0;\n for (const sc of FORTE[card]) {\n if (sc === undefined) {\n num += 1;\n continue; // first, used for spacing\n }\n // index 1 is vector\n if (arrayEquals(sc[1], vector)) {\n post.push(_chordTableAddress(card, num));\n }\n num += 1;\n }\n }\n return post;\n}\n\nexport function addressToZAddress(address) {\n // noinspection JSUnusedLocalSymbols\n const [card, index, unused_inversion] = _validateAddress(address);\n const z = FORTE[card][index][3];\n if (z === 0) {\n return undefined;\n } else {\n let zReal = z;\n if (Array.isArray(z)) {\n zReal = z[0];\n }\n const zAddress = _validateAddress([card, zReal, undefined]);\n return _chordTableAddress(zAddress[0], zAddress[1], zAddress[2]);\n }\n}\n\nexport function addressToCommonNames(address) {\n const addressNew = _validateAddress(address);\n const refDict = SCREF[String(addressNew)];\n return refDict.name;\n}\n\nexport function addressToForteName(address, classification: string ='tn') {\n const [card, index, inversion] = _validateAddress(address);\n let iStr;\n if (classification.toLowerCase() === 'tn') {\n if (inversion === -1) {\n iStr = 'B';\n } else if (inversion === 1) {\n iStr = 'A';\n } else if (inversion === 0) {\n iStr = '';\n }\n } else { // tni, ignore inversion\n iStr = '';\n }\n return `${card}-${index}${iStr}`;\n}\n\nexport function seekChordTablesAddress(c) {\n const pcSet = c.orderedPitchClasses;\n if (!(pcSet.length)) {\n throw new Error(\n 'cannot access chord tables address for Chord with no pitches'\n );\n }\n const card = pcSet.length;\n if (card === 1) { // its a singleton: return\n return _chordTableAddress(1, 1, 0, pcSet[0]);\n } else if (card === 12) { // its the aggregate\n return _chordTableAddress(12, 1, 0, 0);\n }\n // go through each rotation of pcSet\n const candidates = [];\n for (let rot = 0; rot < card; rot++) {\n const testSetOrig = pcSet.slice(rot);\n for (let rotRemainder = 0; rotRemainder < rot; rotRemainder++) {\n testSetOrig.push(pcSet[rotRemainder]);\n }\n // transpose to lead with zero\n const testSetOriginalPC = testSetOrig[0];\n const testSet = [];\n for (const x of testSetOrig) {\n const zeroTransposed = posMod(x - testSetOriginalPC, 12);\n testSet.push(zeroTransposed);\n }\n // create inversion; first take difference from 12 mod 12\n const testSetInvert = [];\n for (const x of testSet) {\n testSetInvert.push(posMod(12 - x, 12));\n }\n testSetInvert.reverse(); // reverse order (first steps now last)\n // transpose all steps (were last) to zero, mod 12\n const testSetInvertOriginalPC = testSetInvert[0];\n for (let i = 0; i < testSetInvert.length; i++) {\n testSetInvert[i] = posMod(testSetInvert[i] + (12 - testSetInvertOriginalPC), 12);\n }\n const candidateTuple = [testSet, testSetInvert, testSetOriginalPC];\n candidates.push(candidateTuple);\n }\n // compare sets to those in table\n let match = false;\n let matchedPCOriginal;\n let index;\n let inversion;\n\n for (let indexCandidate = 0; indexCandidate < FORTE[card].length; indexCandidate++) {\n const dataLine = FORTE[card][indexCandidate];\n if (dataLine === undefined) {\n continue; // spacer lines\n }\n const dataLinePcs = dataLine[0];\n const inversionsAvailable = forteIndexToInversionsAvailable(card, indexCandidate);\n for (const [candidate, candidateInversion, candidateOriginalPC] of candidates) {\n if (arrayEquals(dataLinePcs, candidate)) {\n index = indexCandidate;\n if (inversionsAvailable.includes(0)) {\n inversion = 0;\n } else {\n inversion = 1;\n }\n matchedPCOriginal = candidateOriginalPC;\n match = true;\n break;\n } else if (arrayEquals(dataLinePcs, candidateInversion)) {\n index = indexCandidate;\n if (inversionsAvailable.includes(0)) {\n inversion = 0;\n } else {\n inversion = -1;\n }\n matchedPCOriginal = candidateOriginalPC;\n match = true;\n break;\n }\n }\n }\n if (!match) {\n throw new Error(`cannot find a chord table address for ${pcSet}`);\n }\n return _chordTableAddress(card, index, inversion, matchedPCOriginal);\n}\n","/**\n * music21j -- Javascript reimplementation of Core music21p features.\n * music21/clef -- Clef objects\n *\n * Copyright (c) 2013-24, Michael Scott Asato Cuthbert\n * Based on music21 (=music21p), Copyright (c) 2006-24, Michael Scott Asato Cuthbert\n *\n * Clef related objects and properties\n *\n */\nimport * as base from './base';\nimport * as pitch from './pitch';\nimport type { Stream } from './stream';\n\n/* music21.Clef\n must be defined before Stream since Stream subclasses call new music21.Clef...\n */\n\n// TODO: Fix to newest Vexflow format...\n\ntype ClefName = 'treble'|'soprano'|'mezzo-soprano'|'alto'|'tenor'|'bass'|'percussion';\n\nexport const lowestLines: Record = {\n treble: 31,\n soprano: 29,\n 'mezzo-soprano': 27,\n alto: 25,\n tenor: 23,\n bass: 19,\n percussion: 31,\n};\n\nexport const nameToLine: Record = {\n treble: 2,\n soprano: 1,\n 'mezzo-soprano': 2,\n alto: 3,\n tenor: 4,\n bass: 4,\n percussion: 3,\n};\n\nexport const nameToSign: Record = {\n treble: 'G',\n soprano: 'C',\n 'mezzo-soprano': 'C',\n alto: 'C',\n tenor: 'C',\n bass: 'F',\n percussion: 'percussion',\n};\n\n/**\n * Clef name can be one of\n * \"treble\", \"bass\", \"soprano\", \"mezzo-soprano\", \"alto\", \"tenor\", \"percussion\"\n *\n * lowestLine - diatonicNoteNum (C4 = 29) for the\n * lowest line (in a five-line staff)\n * lowestLineTrebleOffset - difference between the first line\n * of this staff and the first line in treble clef\n * octaveChange\n */\nexport class Clef extends base.Music21Object {\n static get className() { return 'music21.clef.Clef'; }\n\n name: string = undefined;\n sign: string = undefined;\n line: number = 1;\n octaveChange: number;\n lowestLine: number = lowestLines.treble;\n lowestLineTrebleOffset: number = 0;\n\n constructor(name?: ClefName, octaveChange: number = 0) {\n super();\n this.classSortOrder = 0;\n\n if (name !== undefined) {\n name = name.toLowerCase() as ClefName;\n this.name = name;\n this.lowestLine = lowestLines[name];\n this.sign = nameToSign[name];\n this.line = nameToLine[name] || 1;\n this.lowestLineTrebleOffset\n = lowestLines.treble - this.lowestLine;\n }\n\n this.octaveChange = octaveChange;\n this.lowestLine += 7 * octaveChange;\n this.lowestLineTrebleOffset -= 7 * octaveChange;\n }\n\n stringInfo() {\n return '';\n }\n\n /**\n * returns a new pitch object if the clef name is not Treble\n * designed so it would look the same as it would in treble clef.\n * for instance, bass-clef 2nd-space C# becomes treble clef 2nd-space A#\n * used for Vex.Flow which requires all pitches to be input as if they\n * are in treble clef.\n */\n convertPitchToTreble(p: pitch.Pitch): pitch.Pitch {\n if (this.lowestLine === undefined) {\n console.log('no first line defined for clef', this.name, this);\n return p; // error\n }\n const lowestLineDifference = this.lowestLineTrebleOffset;\n const tempPitch = new pitch.Pitch(p.step);\n tempPitch.octave = p.octave;\n tempPitch.diatonicNoteNum += lowestLineDifference;\n tempPitch.accidental = p.accidental;\n return tempPitch;\n }\n\n getStemDirectionForPitches(\n pitchList: pitch.Pitch|pitch.Pitch[],\n {\n firstLastOnly=true,\n extremePitchOnly=true,\n }: {\n firstLastOnly?: boolean,\n extremePitchOnly?: boolean,\n } = {},\n ): string {\n let pitchRealList: pitch.Pitch[];\n if (!(pitchList instanceof Array)) {\n pitchRealList = [pitchList as pitch.Pitch];\n } else {\n pitchRealList = pitchList as pitch.Pitch[];\n }\n\n if (!pitchRealList.length) {\n throw new Error('getStemDirectionForPitches cannot operate on an empty Array');\n }\n\n let relevantPitches: pitch.Pitch[];\n if (extremePitchOnly) {\n pitchRealList.sort((a, b) => a.diatonicNoteNum - b.diatonicNoteNum);\n const pitchMin = pitchRealList[0];\n const pitchMax = pitchRealList[pitchRealList.length - 1];\n relevantPitches = [pitchMin, pitchMax];\n } else if (firstLastOnly) {\n relevantPitches = [pitchRealList[0], pitchRealList[pitchRealList.length - 1]];\n } else {\n relevantPitches = pitchRealList;\n }\n\n let differenceSum = 0;\n const midLine = this.lowestLine + 4;\n for (const p of relevantPitches) {\n differenceSum += p.diatonicNoteNum - midLine;\n }\n\n if (differenceSum >= 0) {\n return 'down';\n } else {\n return 'up';\n }\n }\n}\n\n/**\n * A TrebleClef (same as new music21.clef.Clef('treble'))\n */\nexport class TrebleClef extends Clef {\n static get className() { return 'music21.clef.TrebleClef'; }\n\n constructor() {\n super('treble');\n this.sign = 'G';\n this.line = 2;\n }\n}\n\n/**\n * A TrebleClef down an octave (same as new music21.clef.Clef('treble', -1))\n *\n * Unlike music21p, currently not a subclass of TrebleClef.\n */\nexport class Treble8vbClef extends Clef {\n static get className() { return 'music21.clef.Treble8vbClef'; }\n\n constructor() {\n super('treble', -1);\n }\n}\n\n/**\n * A TrebleClef up an octave (same as new music21.clef.Clef('treble', 1))\n */\nexport class Treble8vaClef extends Clef {\n static get className() { return 'music21.clef.Treble8vaClef'; }\n\n constructor() {\n super('treble', 1);\n }\n}\n\n/**\n * A BassClef (same as new music21.clef.Clef('bass'))\n */\nexport class BassClef extends Clef {\n static get className() { return 'music21.clef.BassClef'; }\n\n constructor() {\n super('bass');\n this.sign = 'F';\n this.line = 4;\n }\n}\n\n/**\n * A BassClef down an octave (same as new music21.clef.Clef('bass', -1))\n */\nexport class Bass8vbClef extends Clef {\n static get className() { return 'music21.clef.Bass8vbClef'; }\n\n constructor() {\n super('bass', -1);\n this.sign = 'F';\n this.line = 4;\n }\n}\n\n/**\n * An AltoClef (same as new music21.clef.Clef('alto'))\n */\nexport class AltoClef extends Clef {\n static get className() { return 'music21.clef.AltoClef'; }\n\n constructor() {\n super('alto');\n this.sign = 'C';\n this.line = 3;\n }\n}\n\n/**\n * A Tenor Clef (same as new music21.clef.Clef('tenor'))\n */\nexport class TenorClef extends Clef {\n static get className() { return 'music21.clef.TenorClef'; }\n\n constructor() {\n super('tenor');\n this.sign = 'C';\n this.line = 4;\n }\n}\n\n/**\n * A Soprano Clef (same as new music21.clef.Clef('soprano'))\n */\nexport class SopranoClef extends Clef {\n static get className() { return 'music21.clef.SopranoClef'; }\n\n constructor() {\n super('soprano');\n this.sign = 'C';\n this.line = 1;\n }\n}\n\n/**\n * A Mezzo-Soprano Clef (same as new music21.clef.Clef('mezzo-soprano'))\n */\nexport class MezzoSopranoClef extends Clef {\n static get className() { return 'music21.clef.MezzoSopranoClef'; }\n\n constructor() {\n super('mezzo-soprano');\n this.sign = 'C';\n this.line = 2;\n }\n}\n\n/**\n * A Percussion Clef (same as new music21.clef.Clef('percussion'))\n *\n * First line is treated as if it's treble clef. Not available as \"bestClef\"\n */\nexport class PercussionClef extends Clef {\n static get className() { return 'music21.clef.PercussionClef'; }\n\n constructor() {\n super('percussion');\n this.sign = 'percussion';\n this.line = 3;\n }\n}\n\nexport const all_clefs = {\n TrebleClef,\n Treble8vbClef,\n Treble8vaClef,\n BassClef,\n Bass8vbClef,\n AltoClef,\n TenorClef,\n SopranoClef,\n MezzoSopranoClef,\n PercussionClef,\n};\n\n/**\n * Looks at the pitches in a Stream and returns the best clef\n * of Treble and Bass\n *\n */\nexport function bestClef(st: Stream, { recurse=true }={}): Clef {\n // console.log('calling flatten on stream: ', st.elements.length, st.classes[st.classes.length - 1]);\n let stFlat: Stream;\n if (recurse) {\n stFlat = st.flatten();\n } else {\n stFlat = st;\n }\n let totalPitches = 0;\n let totalDNN = 0.0;\n for (const n of stFlat.notes) {\n for (const p of n.pitches) {\n totalPitches += 1;\n totalDNN += p.diatonicNoteNum;\n }\n }\n let averageHeight: number;\n if (totalPitches === 0) {\n averageHeight = 29;\n } else {\n averageHeight = totalDNN / totalPitches;\n }\n // console.log('bestClef: average height', averageHeight);\n if (averageHeight > 28) {\n // 29 = c4\n return new TrebleClef();\n } else {\n return new BassClef();\n }\n}\n\n/**\n */\nexport function clefFromString(clefString: string, octaveShift: number = 0): Clef {\n const xnStr = clefString.trim();\n let thisType: string;\n let lineNum: number;\n if (xnStr.toLowerCase() === 'percussion') {\n return new PercussionClef();\n } // todo: tab, none, jianpu\n\n if (xnStr.length === 2) {\n thisType = xnStr[0].toUpperCase();\n lineNum = parseInt(xnStr[1]);\n } else if (xnStr.length === 1) {\n thisType = xnStr[0].toUpperCase();\n if (thisType === 'G') {\n lineNum = 2;\n } else if (thisType === 'F') {\n lineNum = 4;\n } else if (thisType === 'C') {\n lineNum = 3;\n } else {\n lineNum = 0;\n }\n } else if (xnStr.length > 2) {\n // try to get any clef in the module\n const searchLower = xnStr.toLowerCase();\n for (const clefKey of Object.keys(all_clefs)) {\n const clefLower = clefKey.toLowerCase();\n const potentialClass = all_clefs[clefKey];\n if (typeof potentialClass !== 'function') {\n continue;\n }\n if (clefLower !== searchLower && clefLower !== searchLower + 'clef') {\n continue;\n }\n return new potentialClass();\n }\n }\n\n // TODO: remove this -- we have other ways of deep equality\n const arrayEqual = (a: any[], b: any[]) => a.length === b.length && a.every((el, ix) => el === b[ix]);\n\n const params = [thisType, lineNum, octaveShift];\n if (arrayEqual(params, ['G', 2, 0])) {\n return new TrebleClef();\n } else if (arrayEqual(params, ['G', 2, -1])) {\n return new Treble8vbClef();\n } else if (arrayEqual(params, ['G', 2, 1])) {\n return new Treble8vaClef();\n } else if (arrayEqual(params, ['F', 4, 0])) {\n return new BassClef();\n } else if (arrayEqual(params, ['F', 4, -1])) {\n return new Bass8vbClef();\n } else if (arrayEqual(params, ['C', 3, 0])) {\n return new AltoClef();\n } else if (arrayEqual(params, ['C', 4, 0])) {\n return new TenorClef();\n } else {\n return new Clef(xnStr as ClefName, octaveShift);\n }\n}\n","/**\n * common functions.\n * functions that are useful everywhere...\n */\nimport defaults from './defaults';\n\nexport function coerceHTMLElement(el?: JQuery|HTMLElement): HTMLElement {\n let htmlElement: HTMLElement;\n if (el !== undefined && (el as JQuery).jquery !== undefined) {\n htmlElement = (el as JQuery)[0];\n } else if (el instanceof HTMLElement) {\n htmlElement = el;\n } else {\n htmlElement = document.querySelector(defaults.appendLocation);\n }\n return htmlElement;\n}\n\n/**\n * concept borrowed from Vex.Flow.Merge, though here the source can be undefined;\n * http://stackoverflow.com/questions/171251/how-can-i-merge-properties-of-two-javascript-objects-dynamically\n * recursive parts used in .clone()\n *\n * @param {Object} destination - object to have attributes placed into\n * @param {Object} source - object to take attributes from.\n * @returns {Object} destination\n */\nexport function merge(destination: T, source?: object): T {\n if (source === undefined || source === null) {\n return destination;\n }\n for (const p in source) {\n if (!{}.hasOwnProperty.call(source, p)) {\n continue;\n }\n try {\n // Property in destination object set; update its value.\n if (source[p] && source[p].constructor === Object) {\n destination[p] = merge(destination[p], source[p]);\n } else {\n destination[p] = source[p];\n }\n } catch (e) {\n // Property in destination object not set; create it and set its value.\n destination[p] = source[p];\n }\n }\n return destination;\n}\n\nexport function range(start: number, stop: number, step: number) {\n if (step === undefined) {\n step = 1;\n }\n if (stop === undefined) {\n stop = start;\n start = 0;\n }\n\n const count = Math.ceil((stop - start) / step);\n return Array.apply(0, Array(count)).map((e, i) => i * step + start);\n}\n\n/**\n * Mix in another class into this class -- a simple form of multiple inheritance.\n * See articulations.Marcato for an example.\n *\n */\nexport function mixin(OtherParent, thisClassOrObject): void {\n let proto = Object.getPrototypeOf(OtherParent);\n const classProto = Object.getPrototypeOf(thisClassOrObject);\n\n while (proto) {\n for (const key in Object.keys(proto)) {\n if (!{}.hasOwnProperty.call(proto, key)) {\n continue;\n }\n if (!(key in classProto)) {\n classProto[key] = proto[key];\n }\n }\n proto = Object.getPrototypeOf(proto);\n }\n}\n\n/**\n * Aggregation -- closer to true multiple inheritance -- prefers last class's functions. See\n * https://stackoverflow.com/questions/29879267/es6-class-multiple-inheritance\n *\n * not currently used...\n */\n// export const aggregation = (baseClass, ...mixins) => {\n// class base extends baseClass {\n// constructor(...args) {\n// super(...args);\n// mixins.forEach(mixin => {\n// copyProps(this, new mixin());\n// });\n// }\n// }\n// const copyProps = (target, source) => {\n// // this function copies all properties and symbols, filtering out some special ones\n// // noinspection JSUnresolvedFunction,JSCheckFunctionSignatures\n// Object.getOwnPropertyNames(source)\n// .concat(Object.getOwnPropertySymbols(source))\n// .forEach(prop => {\n// if (\n// !prop.match(\n// /^(?:constructor|prototype|arguments|caller|name|bind|call|apply|toString|length)$/\n// )\n// ) {\n// Object.defineProperty(\n// target,\n// prop,\n// Object.getOwnPropertyDescriptor(source, prop)\n// );\n// }\n// });\n// };\n// mixins.forEach(mixin => {\n// // outside constructor() to allow aggregation(A,B,C).staticFunction() to be called etc.\n// copyProps(base.prototype, mixin.prototype);\n// copyProps(base, mixin);\n// });\n// return base;\n// };\n\n\n/**\n * posMod - return a modulo value that is not negative\n *\n * @param {int} a value\n * @param {int} b modulo\n * @return {int} a mod b between 0 and b - 1\n */\n\nexport function posMod(a: number, b: number): number {\n if (a === undefined || b === undefined) {\n throw new Error('Modulo needs two numbers');\n }\n return (a % b + b) % b;\n}\n\n/**\n *\n * Returns the statistical mode (most commonly appearing element)\n * in 'a' which is an Array or iterable.\n *\n * In case of tie, returns the first element to reach the maximum\n * number of occurrences.\n *\n * @param {Array<*>} a - an array to analyze\n * @returns {Object} element with the highest frequency in an array.\n */\nexport function statisticalMode(a: readonly number[]): number {\n if (a.length === 0) {\n return null;\n }\n const modeMap = {};\n let maxEl = a[0];\n let maxCount = 1;\n for (let i = 0; i < a.length; i++) {\n const el = a[i];\n if (modeMap[el] == null) {\n modeMap[el] = 0;\n }\n modeMap[el] += 1;\n if (modeMap[el] > maxCount) {\n maxEl = el;\n maxCount = modeMap[el];\n }\n }\n return maxEl;\n}\n\n/**\n * fromRoman - Convert a Roman numeral (upper or lower) to an int.\n */\n\nexport function fromRoman(num: string): number {\n const inputRoman = num.toUpperCase();\n const subtractionValues = [1, 10, 100];\n const nums = ['M', 'D', 'C', 'L', 'X', 'V', 'I'];\n const ints = [1000, 500, 100, 50, 10, 5, 1];\n const places = [];\n for (const c of inputRoman) {\n if (!nums.includes(c)) {\n throw new Error(\n 'Value is not a valid roman numeral: ' + inputRoman\n );\n }\n }\n for (let i = 0; i < inputRoman.length; i++) {\n const c = inputRoman[i];\n let value = ints[nums.indexOf(c)];\n if (i < inputRoman.length - 1) {\n const nextValue = ints[nums.indexOf(inputRoman[i + 1])];\n if (nextValue > value && subtractionValues.includes(value)) {\n value *= -1;\n }\n }\n places.push(value);\n }\n let summation = 0;\n for (const n of places) {\n summation += n;\n }\n return summation;\n}\n\n/**\n * toRoman - Convert a number from 1 to 3999 to a roman numeral\n */\n\nexport function toRoman(num: number): string {\n if (typeof num !== 'number') {\n throw new Error('expected integer, got ' + typeof num);\n }\n if (num < 0 || num > 4000) {\n throw new Error('Argument must be between 1 and 3999');\n }\n const ints = [1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1];\n const nums = [\n 'M',\n 'CM',\n 'D',\n 'CD',\n 'C',\n 'XC',\n 'L',\n 'XL',\n 'X',\n 'IX',\n 'V',\n 'IV',\n 'I',\n ];\n let result = '';\n for (let i = 0; i < ints.length; i++) {\n const count = Math.floor(num / ints[i]);\n result += nums[i].repeat(count);\n num -= ints[i] * count;\n }\n return result;\n}\n\n/**\n * Creates an SVGElement of an SVG figure using the correct `document.createElementNS` call.\n * tag defaults to svg, but can be 'rect', 'circle', 'text', etc.\n * Attributes is an object to pass to the tag.\n */\nexport function makeSVGright(tag: string = 'svg', attrs: Record = {}): SVGElement {\n // see http://stackoverflow.com/questions/3642035/jquerys-append-not-working-with-svg-element\n // normal JQuery does not work.\n const el = document.createElementNS('http://www.w3.org/2000/svg', tag);\n for (const k in attrs) {\n if (!{}.hasOwnProperty.call(attrs, k)) {\n continue;\n }\n el.setAttribute(k, `${attrs[k]}`); // convert to string.\n }\n return el;\n}\n\n/**\n * Take a number such as 32 and return a string such as \"nd\"\n * (for \"32nd\") etc.\n *\n * [plural=false] - make plural (note that \"21st\" plural is \"21st\")\n */\nexport function ordinalAbbreviation(value: number, plural: boolean = false): string {\n let post: string;\n const valueHundredths = value % 100;\n if (\n valueHundredths === 11\n || valueHundredths === 12\n || valueHundredths === 13\n ) {\n post = 'th';\n } else {\n const valueMod = value % 10;\n if (valueMod === 1) {\n post = 'st';\n } else if (valueMod === 2) {\n post = 'nd';\n } else if (valueMod === 3) {\n post = 'rd';\n } else {\n post = 'th';\n }\n }\n if (post !== 'st' && plural) {\n post += 's';\n }\n return post;\n}\n\n/**\n * Find a rational number approximation of this floating point.\n *\n * Returns an object of {'numerator: numerator, 'denominator': denominator} or undefined\n *\n * * ql - number to rationalize\n * * epsilon=0.001 - how close to get\n * * maxDenominator=50 - maximum denominator\n */\nexport function rationalize(ql: number, epsilon=0.001, maxDenominator=50):\n {numerator: number, denominator: number} | undefined\n{\n for (let i = 2; i < maxDenominator; i++) {\n if (Math.abs(ql * i - Math.round(ql * i)) < epsilon) {\n const numerator = Math.round(ql * i);\n const denominator = i;\n return { numerator, denominator };\n }\n }\n return undefined;\n}\n\n/**\n * Change something that could be a string or number and might\n * end with \"px\" to a number.\n *\n * \"400px\" -> 400\n *\n * str -- string that might have 'px' at the end or not\n */\nexport function stripPx(str: number|string): number {\n if (typeof str === 'string') {\n const pxIndex = str.indexOf('px');\n str = str.slice(0, pxIndex);\n return parseInt(str);\n } else {\n return str;\n }\n}\n\n/**\n * Find name in the query string (?name=value) and return value.\n *\n * name - url parameter to find\n * Return may be '' if empty.\n */\nexport function urlParam(name: string): string {\n name = name.replace(/\\[/, '\\\\[').replace(/]/, '\\\\]');\n const regex = new RegExp('[\\\\?&]' + name + '=([^&#]*)');\n const results = regex.exec(window.location.search);\n return results == null\n ? ''\n : decodeURIComponent(results[1].replace(/\\+/g, ' '));\n}\n\nexport function arrayEquals(a1: any[], a2: any[]): boolean {\n if (a1.length !== a2.length) {\n return false;\n }\n for (let i = 0; i < a1.length; i++) {\n if (a1[i] instanceof Array && a2[i] instanceof Array) {\n if (!arrayEquals(a1[i], a2[i])) {\n return false;\n }\n } else if (a1[i] !== a2[i]) {\n return false;\n }\n }\n return true;\n}\n\nconst _singletonCounter = {\n value: 0,\n};\n\nexport class SingletonCounter {\n call(): number {\n const post = _singletonCounter.value;\n _singletonCounter.value += 1;\n return post;\n }\n}\n\nexport const urls = {\n css: '/css',\n webResources: '/webResources',\n midiPlayer: '/webResources/midiPlayer',\n soundfontUrl: '/soundfonts/midi-js-soundfonts-master/FluidR3_GM/',\n};\n\nexport function hyphenToCamelCase(usrStr: string): string {\n return usrStr.replace(/-([a-zA-Z])/g, (all, match) => match.toUpperCase());\n}\n\nexport function numToIntOrFloat(value: number): number {\n const intVal = Math.round(value);\n if (Math.abs(value - intVal) < 0.000001) {\n return intVal;\n } else {\n return value;\n }\n}\n\nexport const pathSimplify = (path: string): string => {\n let pPrefix = '';\n if (path.indexOf('//') === 0) {\n pPrefix = '//'; //cdn loading;\n path = path.slice(2);\n // console.log('cdn load: ', pPrefix, ' into ', path);\n } else if (path.indexOf('://') !== -1) { // for cross site requests...\n const protoSpace = path.indexOf('://');\n pPrefix = path.slice(0, protoSpace + 3);\n path = path.slice(protoSpace + 3);\n // console.log('cross-site split', pPrefix, path);\n }\n const ps = path.split('/');\n const addSlash = (path.slice(path.length - 1, path.length) === '/');\n const pout = [];\n for (const el of ps) {\n if (el === '..') {\n if (pout.length > 0) {\n if (pout[pout.length - 1] !== '..') {\n pout.pop();\n } else {\n pout.push('..');\n }\n } else {\n pout.push('..');\n }\n } else {\n pout.push(el);\n }\n }\n let pNew = pout.join('/');\n if (addSlash) {\n pNew += '/';\n }\n pNew = pPrefix + pNew;\n return pNew;\n};\n\nexport function isFloat(num: number): boolean {\n return Number(num) === num && num % 1 !== 0;\n}\n\nconst shared_buffer = new ArrayBuffer(4); // just enough bytes for 32-bit Array\nconst int_view = new Int32Array(shared_buffer);\nconst float_view = new Float32Array(shared_buffer);\n\nfunction byte_2_relevant_bits(num: number): string {\n // extract bits 24 to 28 of the floating point number.\n // if all 1s or all 0s then it's close enough to a\n // float expressible as fraction with power of 2 denominator\n let out = '';\n for (let i = 10; i >= 4; i -= 1) {\n // noinspection JSBitwiseOperatorUsage\n out += (num & (1 << i)) ? '1' : '0'; // eslint-disable-line no-bitwise\n }\n return out;\n}\n\nfunction is_power_of_2_denominator(num: number): boolean {\n float_view[0] = num;\n const float_as_int = int_view[0]; // magic conversion\n const out_bits = byte_2_relevant_bits(float_as_int);\n if (out_bits === '1111111' || out_bits === '0000000') {\n return true;\n }\n return false;\n}\n\n/**\n * Returns either the original number (never a fraction, since js does not have them)\n * or the slightly rounded, correct representation.\n *\n * Uses a shared memory buffer to give the conversion.\n */\nexport function opFrac(num: number): number {\n if (num === Math.floor(num)) {\n return num;\n }\n if (num * 1024 === Math.floor(num * 1024)) {\n return num;\n }\n if (is_power_of_2_denominator(num)) {\n return parseFloat(num.toPrecision(6));\n } else if (num < 0.0000011) {\n // leading zeros don't pass with is_power_of_2_denominator\n return 0;\n } else {\n return num;\n }\n}\n\n/**\n * Converts a string to a single element using template.\n *\n * Similar to JQuery's $('more')[0]\n *\n * For security reasons