b/(1−a)
products and scaling= b / (1 - a)Divides b by 1 - a: as a approaches 1 the output grows sharply.
SEE IT MOVE
Computed in your browser with KINSPIRATION's FUN engine. Drag on the map to try any a and b.
WHAT TO KNOW
INPUTS
a: the gain control (0 none, near 1 huge, negative values shrink b); b: the source.
OUTPUT RANGE
-1..+1, clamped; b itself at a = 0, twice b at a = 0.5
USE IT FOR
A gain on a source that a controller raises steeply (a wheel boosting an envelope toward the clamp); with a negative a, a control that shrinks b (a = -1 halves it).
WATCH OUT
As a nears 1 the output shoots to the clamp; at exactly 1 it is +1 or −1, with b's sign.
IN THE FACTORY PROGRAMS
No factory program uses it: one of the K2700's hidden tools.
HOW TO ON YOUR K2700 · 2046 Editor Template
The factory does not route b/(1-a) to a sound on its own: set one up on 2046 Editor Template and hear it on the pitch.
In Program mode choose 2046 Editor Template, a plain one-layer program to build on (KEYPAD, 2046, ENTER).
Press EDIT, then MORE and DSP MOD. On the Pitch row set Source 1 to FUN2 and its Depth to 1200 ct: FUN2's result, −1 to +1, now bends the pitch up to an octave either way.
MORE, then LFO+. On the FUN2 row set Input a to MWheel and Input b to 0.10.
Move to Function and turn the Alpha Wheel to b/(1-a).
Push the mod wheel up: the pitch rises slowly, then faster and faster: 0.10 / (1 − wheel) doubles at halfway and reaches an octave at 90 % of the travel.
Press EXIT and answer NO to leave the factory program as it was, or SAVE to keep your version on a USER ID.