Nils Peters, Trond Lossius, Jan C. Schacher
Jan C. Schacher
Nils Peters, Trond Lossius, Jan C. Schacher
Clemens Kuhn-Rahloff, Martin Neukom, Mathias S. Oechslin
Schacher, Jan C., Bisig, Daniel, Neukom, Martin
Daniel Bisig, Tatsuo Unemi
Majoe D, Kulka I, Schacher, J. C.
Schacher, Jan C.
Bisig, Daniel; Neukom, Martin
Mathias Oechslin, Martin Neukom, Gerald Bennett
Bisig, Daniel; Neukom, Martin; Flury, John
Bisig, Daniel; Neukom, Martin; Flury, John
Unemi, Tatsuo; Bisig, Daniel
Schiesser, Sébastien; Traube, Caroline
Bisig, Daniel; Unemi, Tatsuo
Flury, John; Bisig, Daniel
The synchronization of natural and technical periodic processes can be simulated with self-sustained oscillators. Under certain conditions, these oscillators adjust their frequency and their phase to a master oscillator or to other self-sustained oscillators. These processes can be used in sound synthesis for the tuning of non-linear oscillators, for the adjustment of the pitches of other oscillators, for the synchronization of periodic changes of any sound parameters and for the synchronization of rhythms. This paper gives a short introduction to the theory of synchronization [1, 2, 3, 4, 5], shows how to implement the differential equations which describe the self-sustained oscillators and gives some examples of musical applications. The examples are programmed as mxj~ externals for MaxMSP. The Java code samples are taken from the perform routine of these externals. The externals and Max patches can be downloaded from http://www.icst.net/downloads.