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KOACH · FUNs · Level 4 · Curves · Lesson 4 of 10

cos(a+b)

shapes and warps= cos(180 degrees × (a + b))

Maps a + b onto a cosine, the sine a quarter cycle ahead, for a sawtooth input.

SEE IT MOVE

SCOPE · LAST 2 S
THE MAP · OUTPUT FOR EVERY a AND b
a0.00
b0.00
OUTPUT0.00

Computed in your browser with KINSPIRATION's FUN engine. Drag on the map to try any a and b.

WHAT TO KNOW

INPUTS

As sin(a+b).

OUTPUT RANGE

-1..+1

USE IT FOR

The partner of sin(a+b) for two layers moving in quadrature (equal-power fades or pans from one ramp); a curved controller response: the factory's cos(0.74 + Press+MW) (6 slots) dips to -1 at a quarter of the travel, then rises to about +0.68.

WATCH OUT

cos(a + b) equals sin(a + b + 0.5) on this scale.

IN THE FACTORY PROGRAMS

In 7 FUN slots of the factory programs: FUN1 6, FUN3 1. GFUN2 and GFUN4 are the program's global FUNs.

MOST USED INPUTS (a, b)

0.74, Press+MW6
FUN2, -0.221

WHERE THE OUTPUT GOES

FUN4 a1

FIND THEM ON YOUR K2700

748 String Continuolayer 4 · FUN1 · a 0.74, b Press+MW
41 SMiLE/RkyRaccoonlayer 4 · FUN3 · a FUN2, b -0.22
406 Solo Violin fastlayer 1 · FUN1 · a 0.74, b Press+MW
407 Solo Viola fastlayer 1 · FUN1 · a 0.74, b Press+MW

HOW TO ON YOUR K2700 · 2046 Editor Template

The factory does not route cos(a+b) to a sound on its own: set one up on 2046 Editor Template and hear it on the pitch.

  1. In Program mode choose 2046 Editor Template, a plain one-layer program to build on (KEYPAD, 2046, ENTER).

    Program mode with 2046 Editor Template

  2. 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.

    The DSP MOD page of 2046 Editor Template, layer 1, the cursor on Depth (1200 ct)

  3. MORE, then LFO+. On the FUN2 row set Input a to 0.74 and Input b to MWheel.

    The LFO+ page of 2046 Editor Template, layer 1, the cursor on Input b (MWheel)

  4. Move to Function and turn the Alpha Wheel to cos(a+b).

    The LFO+ page of 2046 Editor Template, layer 1, the cursor on Function (cos(a+b))

  5. Push the mod wheel up: the pitch first falls, to an octave down a quarter of the way up, then rises to about 820 ct up at the top: one curved response from one controller.

  6. Press EXIT and answer NO to leave the factory program as it was, or SAVE to keep your version on a USER ID.