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Fourier Phase and Pitch-Class Sum

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2019) 11502 LNAI 46-58
DOI: 10.1007/978-3-030-21392-3_4
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Abstract

Music theorists have proposed two very different geometric models of musical objects, one based on voice leading and the other based on the Fourier transform. On the surface these models are completely different, but they converge in special cases, including many geometries that are of particular analytical interest.

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Tymoczko, D., & Yust, J. (2019). Fourier Phase and Pitch-Class Sum. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11502 LNAI, pp. 46–58). Springer Verlag. https://doi.org/10.1007/978-3-030-21392-3_4

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