Spatial Transformations in Simplicial Chord Spaces

Louis Bigo 1 Antoine Spicher 1 Daniele Ghisi 1 Moreno Andreatta 1
1 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 chord spaces representations derived from the Tonnetz. These chord spaces are formalized as simplicial complexes. A piece is represented in such a space by a trajectory. Spatial transformations are applied on these trajectories and induce a transformation of the original piece. These concepts are implemented in two applications, the software HexaChord and the Max object bach.tonnetz, respectively dedicated to music analysis and composition.
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Louis Bigo, Antoine Spicher, Daniele Ghisi, Moreno Andreatta. Spatial Transformations in Simplicial Chord Spaces. Proceedings ICMC|SMC|2014, Sep 2014, Athens, Greece. pp.1112-1119. ⟨hal-01161081⟩

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