Spatial Transformations in Simplicial Chord Spaces

نویسندگان

  • Louis Bigo
  • Daniele Ghisi
  • Antoine Spicher
  • Moreno Andreatta
چکیده

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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تاریخ انتشار 2014