Applications of DFT to the Theory of Twentieth-Century Harmony

DOI10.1007/978-3-319-20603-5_22zbMath1320.00036OpenAlexW2279719773MaRDI QIDQ2942330

Jason Yust

Publication date: 20 August 2015

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

Full work available at URL: https://hdl.handle.net/2144/39139

zbMATH Keywords

discrete Fourier transformpitch-class set theorygenerated setsposttonal theorytwentieth-century harmony

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Mathematics and music (00A65)

Related Items (9)

Formal structures of a harmony in the parabola ⋮ Quantum-musical explorations on \(\mathbb{Z}_n\) ⋮ The discrete Fourier transform of distributions ⋮ Harmonic qualities in Debussy's “Les sons et les parfums tournent dans l'air du soir” ⋮ Fourier Phase and Pitch-Class Sum ⋮ Decontextualizing Contextual Inversion ⋮ Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts ⋮ Entropy of Fourier coefficients of periodic musical objects

Cites Work

• David Lewin and maximally even sets
• An algebra for periodic rhythms and scales
• The Torii of Phases

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