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
Hauptverfasser: Bigo, Louis, Ghisi, Daniele, Spicher, Antoine, Andreatta, Moreno
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Ghisi, Daniele
Spicher, Antoine
Andreatta, Moreno
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.
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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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