Generalized diatonic scales

DOI10.1080/17459730801995863zbMath1160.00308OpenAlexW2149010017MaRDI QIDQ3508123

Franck Jedrzejewski

Publication date: 27 June 2008

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

Full work available at URL: https://doi.org/10.1080/17459730801995863

zbMATH Keywords

Stern-Brocot treewell-formed scales\(n\)-tone equal temperamentdiatonicismdiatonicized chromaticismgeneralized diatonic scalesWyschnegradsky

Mathematics Subject Classification ID

General applied mathematics (00A69)

Related Items (3)

New insights on diatonicity and majorness ⋮ On the Euler scale and theμEuclidean integer relation algorithm ⋮ An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain

Cites Work

• The legacy of John Clough in mathematical music theory
• Coherence and sameness in well-formed and pairwise well-formed scales
• Musical intervals and special linear transformations
• David Lewin and maximally even sets
• Musical Scales and the Generalized Circle of Fifths

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