Fourier phase and pitch-class sum
Files
Accepted manuscript
Date
2019-06-13
Authors
Yust, Jason
Tymoczko, Dmitri
Version
Accepted manuscript
OA Version
Citation
Jason Yust, Dmitri Tymoczko. 2019. "Fourier Phase and Pitch-Class Sum." Mathematics and Computation in Music: 7th International Conference, MCM 2019. Mathematics and Computation in Music: 7th International Conference. Madrid, Spain, 2019-06-18 - 2019-06-21. https://doi.org/10.1007/978-3-030-21392-3
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.