Representation of Musical Structures and Processes in Simplicial Chord Spaces
In this article, we present a set of musical transformations based on the representations of chord spaces derived from the Tonnetz. These chord spaces are formalized as simplicial complexes. A musical composition is represented in such a space by a trajectory. Spatial transformations are applied on...
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Veröffentlicht in: | Computer music journal 2015-09, Vol.39 (3), p.9-24 |
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description | In this article, we present a set of musical transformations based on the representations of chord spaces derived from the Tonnetz. These chord spaces are formalized as simplicial complexes. A musical composition is represented in such a space by a trajectory. Spatial transformations are applied on these trajectories and induce a transformation of the original composition. These concepts are implemented in two applications, the software HexaChord and the Max object bach, tonnetz, dedicated to music analysis and composition, respectively. |
doi_str_mv | 10.1162/COMJ_a_00312 |
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subjects | Composition Computer Science Humanities and Social Sciences Music Music Representation Musicology and performing arts Software Sound |
title | Representation of Musical Structures and Processes in Simplicial Chord Spaces |
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