Composing For Improvisation with Chaotic Oscillators

Mark Havryliv

Proceedings of the International Conference on New Interfaces for Musical Expression

• Year: 2010
• Location: Sydney, Australia
• Pages: 94–99
• Keywords: chaos and music, chaotic dynamics and oscillators, differential equations and music, mathematica, audio descriptors and mpeg-7
• DOI: 10.5281/zenodo.1177795 (Link to paper)
• PDF link

Abstract:

This paper describes a novel method for composing andimprovisation with real-time chaotic oscillators. Recentlydiscovered algebraically simple nonlinear third-order differential equations are solved and acoustical descriptors relating to their frequency spectrums are determined accordingto the MPEG-7 specification. A second nonlinearity is thenadded to these equations: a real-time audio signal. Descriptive properties of the complex behaviour of these equationsare then determined as a function of difference tones derived from a Just Intonation scale and the amplitude ofthe audio signal. By using only the real-time audio signalfrom live performer/s as an input the causal relationshipbetween acoustic performance gestures and computer output, including any visual or performer-instruction output,is deterministic even if the chaotic behaviours are not.

Citation:

BibTeX Entry:

  @inproceedings{Havryliv2010,
 abstract = {This paper describes a novel method for composing andimprovisation with real-time chaotic oscillators. Recentlydiscovered algebraically simple nonlinear third-order differential equations are solved and acoustical descriptors relating to their frequency spectrums are determined accordingto the MPEG-7 specification. A second nonlinearity is thenadded to these equations: a real-time audio signal. Descriptive properties of the complex behaviour of these equationsare then determined as a function of difference tones derived from a Just Intonation scale and the amplitude ofthe audio signal. By using only the real-time audio signalfrom live performer/s as an input the causal relationshipbetween acoustic performance gestures and computer output, including any visual or performer-instruction output,is deterministic even if the chaotic behaviours are not.},
 address = {Sydney, Australia},
 author = {Havryliv, Mark},
 booktitle = {Proceedings of the International Conference on New Interfaces for Musical Expression},
 doi = {10.5281/zenodo.1177795},
 issn = {2220-4806},
 keywords = {chaos and music, chaotic dynamics and oscillators, differential equations and music, mathematica, audio descriptors and mpeg-7},
 pages = {94--99},
 title = {Composing For Improvisation with Chaotic Oscillators},
 url = {http://www.nime.org/proceedings/2010/nime2010_094.pdf},
 year = {2010}
}