unityscalemathematik

unityscalemathematik · utilities · schema v1

Bipolar CV-shaping utility with three independent channels: a UNITY scaler (input * atten) plus two attenuvert sections (A, B) whose curve knob morphs the response from linear (k=1) to steep exponential (k=3) via y = sign(x) * |x|^k * atten. Sign is preserved across the curve morph so the transform stays bipolar. CV inputs on every atten/curve knob — useful for envelope shaping, LFO sculpting, or driving any modulation through a tunable response curve.

A bipolar CV-shaping utility with three independent channels. UNITY is a plain attenuverter — out = in · atten, with atten swinging -1..+1 so it can scale, attenuate, OR invert a signal. A and B are the same attenuverter PLUS a curve morph: each adds a knob that bends the response from linear toward exponential. The shaping math preserves the sign of the input and raises its magnitude to a power: y = sign(x)·|x|^k·atten where k = 1 + 2·curve runs from 1 (linear) to 3 (steep expo). A steep curve compresses small signals while leaving large excursions intact — useful for taming a hot LFO, reshaping an envelope, or turning a triangle into something rounder. The map is continuous through the bipolar zero crossing (no kink). Each atten and each curve also has its own CV input. There is a DSP worklet for the per-sample math.

the faceplate

8 inputs · 3 outputs · 5 params

about this module

Hover a control, or open the patch panel and hover a jack.

inputs

id	cable	what it does
`u_in`	cv	UNITY-section signal input. Passed through the linear attenuverter: u_out = u_in · unityAtten. control voltage (CV)
`u_atten_cv`	cv	CV that sums into the UNITY attenuverter amount (linear), modulating how much the UNITY section scales/inverts its input. control voltage (CV); modulates unityAtten (additive offset — ±1 CV sweeps the full range, centered on the knob)
`a_in`	cv	A-section signal input. Passed through the curve-morphed attenuverter: a_out = sign·\|a_in\|^k·aAtten. control voltage (CV)
`a_atten_cv`	cv	CV that sums into the A attenuverter amount (linear) — voltage control over A's scale/invert. control voltage (CV); modulates aAtten (additive offset — ±1 CV sweeps the full range, centered on the knob)
`a_curve_cv`	cv	CV that sums into the A curve amount (linear), sliding A's response between linear and exponential under modulation. control voltage (CV); modulates aCurve (additive offset — ±1 CV sweeps the full range, centered on the knob)
`b_in`	cv	B-section signal input. Same curve-morphed attenuverter shape as A: b_out = sign·\|b_in\|^k·bAtten. control voltage (CV)
`b_atten_cv`	cv	CV that sums into the B attenuverter amount (linear). control voltage (CV); modulates bAtten (additive offset — ±1 CV sweeps the full range, centered on the knob)
`b_curve_cv`	cv	CV that sums into the B curve amount (linear), modulating B's linear↔exponential bend. control voltage (CV); modulates bCurve (additive offset — ±1 CV sweeps the full range, centered on the knob)

outputs

id	cable	what it does
`u_out`	cv	UNITY-section output, u_in · unityAtten — the plainly attenuverted (scaled, possibly inverted) signal. control voltage (CV)
`a_out`	cv	A-section output, sign(a_in)·\|a_in\|^k·aAtten with k from the A curve — the sign-preserving curve-shaped attenuvert. control voltage (CV)
`b_out`	cv	B-section output, the same sign-preserving curve-shaped attenuvert as A driven by B's own atten + curve. control voltage (CV)

params

id	label	range	default	curve
`unityAtten`	Unity	-1..1	1	linear
`aAtten`	A Att	-1..1	1	linear
`aCurve`	A Crv	0..1	0	linear
`bAtten`	B Att	-1..1	1	linear
`bCurve`	B Crv	0..1	0	linear

controls

control	what it does
A Att	A-section attenuverter, linear -1..+1 (default +1). Scales A's curve-shaped output; negative values invert it.
A Crv	A-section curve, linear 0..1 (default 0 = linear). 0 is a straight attenuvert; turning it up bends the response toward exponential (exponent k goes 1→3), compressing small signals while preserving large ones. Sign is always kept.
B Att	B-section attenuverter, linear -1..+1 (default +1). Scales B's curve-shaped output; negative inverts.
B Crv	B-section curve, linear 0..1 (default 0 = linear), bending B's response from linear toward steep exponential exactly like A's curve.
Unity	UNITY attenuverter, linear -1..+1 (default +1 = unity passthrough). +1 passes the input as-is, 0 mutes, -1 inverts; in between it attenuates (and flips below 0).

source

unityscalemathematik.ts on GitHub.