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1. Musical combinatorics, tonnetz, and the CubeHarmonic

Author

Mannone Maria, Kitamura Eri, Huang Jiawei, Sugawara Ryo, and Kitamura Yoshifumi

Subjects
group theory, rubik's cube, motion tracking, Arts in general, NX1-820
Abstract

In this paper, we give an overview of some applications of combinatorics and permutations in music through the centuries. The concepts of permutation and tonnetz (spatial representation of voice leading and modulation) can be joined together in a physical device, the CubeHarmonic, a musical version of the Rubik's cube. We finally describe a prototype of the CubeHarmonic that uses the magnetic tracking technology developed at the Tohoku University.

Published
2018

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