A non-interpolating sound generator based on the difference equations:
x(n+1) = (x(n) + y(n+1)) % 2pi
y(n+1) = (y(n) + k * sin(x(n))) % 2pi
The standard map is an area preserving map of a cylinder discovered by the plasma physicist Boris Chirikov.
sclang code translation:
| freq |
Iteration frequency in Hertz |
| k |
Perturbation amount |
| xi |
Initial value of x |
| yi |
Initial value of y |
| mul | |
| add |