Fishing for complements with chord, scale, and rhythm nets

DOI10.1080/17459737.2022.2164627MaRDI QIDQ6137217

Unnamed Author, Thomas Noll, Daniel Harasim

Publication date: 18 January 2024

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

Full work available at URL: https://figshare.com/articles/journal_contribution/Fishing_for_complements_with_chord_scale_and_rhythm_nets/22067138

zbMATH Keywords

swap distancerhythmvoice-leading efficiencyBarry Harrisbetweenness graphclapping musiccomplementary chords

Mathematics Subject Classification ID

Mathematics and music (00A65)

Cites Work

• Music through Fourier space. Discrete Fourier transform in music theory
• Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords
• Mazzola’s Model of Fuxian Counterpoint
• The Geometry of Musical Chords
• Tonal prisms: iterated quantization in chromatic tonality and Ravel's ‘Ondine’
• Pseudo-distances between chords of different cardinality on generalized voice-leading spaces
• Distant Neighbors and Interscalar Contiguities
• The Torii of Phases

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