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Representation of Musical Structures and Processes in Simplicial Chord Spaces

Louis Bigo 1 Daniele Ghisi 2 Antoine Spicher 3 Moreno Andreatta 4
1 Représentations musicales;
STMS - Sciences et Technologies de la Musique et du Son, IRCAM - Institut de Recherche et Coordination Acoustique/Musique
2 Interfaces Recherche/Création;
STMS - Sciences et Technologies de la Musique et du Son, IRCAM - Institut de Recherche et Coordination Acoustique/Musique
4 Repmus - Représentations musicales
STMS - Sciences et Technologies de la Musique et du Son
Abstract : 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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Louis Bigo, Daniele Ghisi, Antoine Spicher, Moreno Andreatta. Representation of Musical Structures and Processes in Simplicial Chord Spaces. Computer Music Journal, Massachusetts Institute of Technology Press (MIT Press), 2015, 39 (3), pp.9 - 24. ⟨10.1162/COMJ_a_00312⟩. ⟨hal-01263299⟩

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