Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations

DOI10.1007/978-3-030-21392-3_32zbMath1456.00088OpenAlexW2951983585MaRDI QIDQ5237294

Thomas Noll

Publication date: 17 October 2019

Published in: Mathematics and Computation in Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-21392-3_32

zbMATH Keywords

discrete Fourier analysispitch class profilespitch class setstwo-phase-plots

Mathematics Subject Classification ID

Harmonic analysis in one variable (42A99) Mathematics and music (00A65)

Related Items (1)

midiVERTO: a web application to visualize tonality in real time

Cites Work

• Music through Fourier space. Discrete Fourier transform in music theory
• Probing questions about keys: tonal distributions through the DFT
• Applications of DFT to the Theory of Twentieth-Century Harmony
• David Lewin and maximally even sets
• The Torii of Phases
• Harmonic qualities in Debussy's “Les sons et les parfums tournent dans l'air du soir”

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