Pivot receives a 3D input vector, twists it by a CV-adjustable angle, and outputs the result as another 3D vector. This module, in combination with Frolic, Glee, and Rotini, can create an unlimited number of chaotic control signals for modulating generative movement in your patches.
Pivot receives a 3D vector through the input port labeled IN.
A connected cable should usually be polyphonic with 3 channels,
but any missing channels will default to zero volts.
Any channels beyond the first three will be ignored.
When no cable is connect to IN, the input is treated as (0, 0, 0).
The 3 voltages represent the coordinates of a vector in 3D space.
Pivot rotates the coordinate frame around the diagonal axis that passes through both (0, 0, 0) and (1, 1, 1). This axis was chosen because it cycles through the coordinate axes using the right-hand rule: the point (x, y, z) can be replaced with (y, z, x) or (z, x, y) when the twist angle is 120° or 240° respectively. There is a continuum of other orientations for angles between these values.
The twist angle is controlled by the TWIST control group consisting of a large manual knob,
a small attenuverter knob, and a CV input port.
The twist angle is expressed in one unit per 120°, so that each unit represents another exact cycling of the input's coordinates. The default twist is 0, which leaves the input vector as-is. The allowed range of values is [−3, +3]. This range allows wide bipolar CV oscillation around each of the 3 axes: x, y, and z.
Here are examples of output vectors for different integer TWIST values:
- −3 → (x, y, z)
- −2 → (y, z, x)
- −1 → (z, x, y)
- 0 → (x, y, z)
- +1 → (y, z, x)
- +2 → (z, x, y)
- +3 → (x, y, z)
The output of Pivot is a 3D vector, provided two ways:
- The monophonic outputs
X,Y, andZ. These ports support voltage flipping. - The 3-channel polyphonic output
Pin the format(X, Y, Z).
You can place a Tricorder immediately to the right of a Pivot to graph its output. Having a 3D oscilloscope helps you better understand the signal.
