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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Additional Information

ISSN
1531-5169
Print ISSN
0148-9267
Pages
pp. 9-24
Launched on MUSE
2015-09-18
Open Access
No
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