A cubic-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:
x(n+1) = sin(b * y(n)) + c * sin(b * x(n)) y(n+1) = sin(a * x(n)) + d * sin(a * y(n))
According to Pickover, parameters a
and b
should be in the range from -3 to +3, and parameters c
and d
should be in the range from 0.5 to 1.5. The function can, depending on the parameters given, give continuous chaotic output, converge to a single value (silence) or oscillate in a cycle (tone).
sclang code translation:
freq |
Iteration frequency in Hertz |
a |
Equation variable |
b |
Equation variable |
c |
Equation variable |
d |
Equation variable |
xi |
Initial value of x |
yi |
Initial value of y |