Kyma
May 2, 2010
f(x) = a * x * (1-x) has a lot of fascinating properties : Whether the stream of numbers from this function is cyclic, constant or chaotic depends entirely upon the value of “a”. Even if you inject random values into x, the output will eventually settle into a cyclic or chaotic pattern associated with the value of “a”. So this function has a lot in common with music because it can generate anything from chaotic to quasi-cyclic. It offers a musically interesting alternative to the old standby of uniformity distributed random numbers.
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