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
Mark Havryliv. 2010. Composing For Improvisation with Chaotic Oscillators. Proceedings of the International Conference on New Interfaces for Musical Expression. DOI: 10.5281/zenodo.1177795
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} }