Fourier Phase and Pitch-Class Sum

DOI10.1007/978-3-030-21392-3_4zbMath1456.00099OpenAlexW2950198853MaRDI QIDQ5237256

Dmitri Tymoczko, Jason Yust

Publication date: 17 October 2019

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

Full work available at URL: https://hdl.handle.net/2144/40511

zbMATH Keywords

Fourier transformmusical scalesvoice leadingchord geometrytonal harmony

Mathematics Subject Classification ID

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

Related Items (4)

Formal structures of a harmony in the parabola ⋮ midiVERTO: a web application to visualize tonality in real time ⋮ Symbolic dynamical scales: modes, orbitals, and transversals ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts

Cites Work

• Music through Fourier space. Discrete Fourier transform in music theory
• Applications of DFT to the Theory of Twentieth-Century Harmony
• Using Fundamental Groups and Groupoids of Chord Spaces to Model Voice Leading
• The Geometry of Musical Chords
• Generalized Voice-Leading Spaces
• A space for inflections: following up onJMM’s special issue on mathematical theories of voice leading
• Exploring the space of perfectly balanced rhythms and scales

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