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The Planet-4D Model: An Original Hypersymmetric Music Space Based on Graph Theory

Abstract : Beside a geometrical part that has been calculated with the help of the graph theory, the Planet-4D model includes twelve ideograms that can either symbolize notes, chords or scales depending on the context. Based on symmetry principles, it presents the following innovations: the hyper spherical environment grants each symbol an equivalent physical position, and involves more symmetries than any 3D model, the concept of bi-dimensional ideograms provides an intuitive understanding of pitch relationships, it contains implicitly the chromatic and fourth circles as well as the original Tonnetz. NB: the pertinence of this model is effective when demonstrated in motion with colored CGI animations of the 4D Space including sound examples. Videos shown during this conference are available on the web at www.planetes.info .
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https://hal-enac.archives-ouvertes.fr/hal-02025838
Contributor : Laurence Porte <>
Submitted on : Tuesday, February 19, 2019 - 7:55:09 PM
Last modification on : Thursday, June 27, 2019 - 4:28:58 PM

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Gilles Baroin. The Planet-4D Model: An Original Hypersymmetric Music Space Based on Graph Theory. Mathematics and Computation in Music. MCM 2011., 6726, Springer, pp.326-329, 2011, Lecture Notes in Computer Science, Print ISBN 978-3-642-21589-6. ⟨10.1007/978-3-642-21590-2_25⟩. ⟨hal-02025838⟩

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