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Studien 21​.​1 – 21​.​15

by Martin Neukom

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1.
21.1 03:11
2.
21.2 04:21
3.
21.3 04:22
4.
21.4 04:07
5.
21.5 09:36
6.
21.6 06:49
7.
21.7 02:36
8.
21.8 06:48
9.
21.9 06:13
10.
21.10 09:25
11.
21.11 03:14
12.
21.12 05:28
13.
21.13 04:15
14.
21.14 03:49
15.
21.15 04:25

about

In Neukom’s studies 21.1-21.15, eight van der Pol oscillators are arranged in a circle. Each of these oscillators has variable parameters frequency, nonlinearity and a gain and is coupled with his neighbors by variable coupling factors and delay times in both directions. Two additional chains of eight van der Pol oscillators produce control functions which are used for amplitude and frequency modulation. If the frequencies of the oscillators are lower than about 20 Hz the modulations produce pulsations and vibratos. Depending on the coupling strength and the delay some or all pulsations and vibratos synchronize their frequencies. The relative phase which is not audible in audio range plays an important role in the sub-audio range: the pulsations of the single sound sources can have the same frequency but be asynchronous in a rhythmic sense but with growing coupling strength they can produce regular rhythmic patterns, can be exactly in or out of phase.

credits

released January 1, 2016

Artwork By [Imagery] – Martin Neukom
Graphic Design – Medusa Cramer

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all rights reserved

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about

Martin Neukom Switzerland

Martin Neukom studied musicology, mathematics and psychology at the University of Zurich, music theory at the Musikhochschule Zürich and choral conducting at the Kantorenschule Zürich. He works as a teacher of music theory and as a composer. He is engaged in sound synthesis and composition with computers and has published "Signale, Systeme und Klangsynthese - Grundlagen der Computermusik“. ... more

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