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
- 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.1177795BibTeX 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} }