Abstract:

This paper introduces a non-standard sound synthesis method that the authors, with terminology drawn from the literature on chaos theory, call synthesis by functional iterations. It describes the general formalism and application of a difference equation model - the "sin map". Sounds generated with method can show dynamical properties ranging from very "active" behavior (spectrally rich transient phenomena, turbulence and noise) to relatively "inactive" behavior (smooth, if not almost flat curves), and unpredictable transitions in between.