FBSineN feedback sine with chaotic phase indexing

FBSineN.ar(freq, im, fb, a, c, xi, yi, mul, add)

freq - iteration frequency in Hertz

im - index multiplier amount

fb - feedback amount

a  - phase multiplier amount

c - phase increment amount

xi - initial value of x

yi - initial value of y

A non-interpolating sound generator based on the difference equations:

x_n+1 = sin(im*y_n + fb*x_n)

y_n+1 = (ay_n + c) % 2pi

This uses a linear congruential function to drive the phase indexing of a sine wave.  For 

im = 1, fb = 0, and a = 1 a normal sinewave results.

// default initial params

{ FBSineN.ar(SampleRate.ir/4) * 0.2 }.play(s);

// increase feedback

{ FBSineN.ar(SampleRate.ir, 1, Line.kr(0.01, 4, 10), 1, 0.1) * 0.2 }.play(s);

// increase phase multiplier

{ FBSineN.ar(SampleRate.ir, 1, 0, XLine.kr(1, 2, 10), 0.1) * 0.2 }.play(s);

// modulate frequency and index multiplier

{ FBSineN.ar(LFNoise2.kr(1, 1e4, 1e4), LFNoise2.kr(1,16,17), 1, 1.005, 0.7) * 0.2 }.play(s);

// randomly modulate params

(

{ FBSineN.ar(

LFNoise2.kr(1, 1e4, 1e4), 

LFNoise2.kr(1, 32, 33), 

LFNoise2.kr(1, 0.5),

LFNoise2.kr(1, 0.05, 1.05),

LFNoise2.kr(1, 0.3, 0.3)

) * 0.2 }.play(s);

)