Fourier phase and pitch-class sum

Yust, JasonTymoczko, Dmitri2020-05-012020-05-012019-06-13Jason 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/10.1007/978-3-030-21392-3https://hdl.handle.net/2144/40511Music 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.en-USArtificial intelligence & image processingVoice leadingTonal harmonyMusical scalesChord geometryFourier transformFourier phase and pitch-class sumConference materials10.1007/978-3-030-21392-3528484