Synthesis by functional Iterations. A revitalization of nonstandard Synthesis*

Sound examples are available in the JNMR Electronic Appendix (EA) which can be found on the WWW at http://www.swets.nl/jnmr/jnmr.html

Abstract

This paper introduces a nonstandard 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 the application of a difference equation model — the “sine map”. Sounds generated with this 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.

Notes

Sound examples are available in the JNMR Electronic Appendix (EA) which can be found on the WWW at http://www.swets.nl/jnmr/jnmr.html