Spatial Transformations in Simplicial Chord Spaces

Louis Bigo (1) , Antoine Spicher (1) , Daniele Ghisi (1) , Moreno Andreatta (1)

1 Repmus - Représentations musicales

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.

Mots clés: Hexachord; trajectory; simplicial complexes; Tonnetz; bach

Mots clés: Informatique musicale

Domaines: Géométrie symplectique [math.SG]; Langage de programmation [cs.PL]; Son [cs.SD]; Traitement du signal et de l'image [eess.SP]; Machine Learning [stat.ML]; Intelligence artificielle [cs.AI]; Théorie et langage formel [cs.FL]; Musique, musicologie et arts de la scène

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⟩