International Computer Music Conference 2016 Papers Track

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Multiple Single-Dimension Mappings of the Henon Attractor as a Compositional Algorithm

This paper describes different uses of a compositional algorithm based on the Henon Map in the creation of a new art-music composition, Au Revoir, Svetozar, for string quartet and guzheng, composed by author Some-body. Unlike other utilizations, the musical mappings here employ the output as single-dimensional data, rather than two-dimensional data and include the use of the Henon Attractor to control a non-isorhythmic cantus firmus and to specify pitch material for the other parts. The Henon Map is a discrete, deterministic dynamical system that exhibits chaotic behavior depending the setting of two parameters – a and b. The mappings described here feature different settings for these two parameters de-pending on the instruments and musical usage. The initial conditions employed, the resulting output, and the map-ping to the musical parameters are shown along with excerpts from the resulting music composition. Au Revoir, Svetozar is scheduled for a premiere performance by the Hong Kong New Music Ensemble at the Echofluxx Festival in May 2016 in Prague.


Rodney Waschka     web site
North Carolina State University
United States

Alexandra Kurepa    
North Carolina A&T State University
United States


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