Coherence and sameness in well-formed and pairwise well-formed scales

DOI10.1080/17459730701376743zbMath1181.00019OpenAlexW2057070786WikidataQ55882998 ScholiaQ55882998MaRDI QIDQ3532260

Norman Carey

Publication date: 3 November 2008

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

Full work available at URL: https://doi.org/10.1080/17459730701376743

zbMATH Keywords

coherenceFibonacci sequencedistribution modulo 1well-formed scalesscale theory

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Miscellaneous applications of number theory (11Z05) Distribution modulo one (11J71) Mathematics and music (00A65)

Related Items (7)

The inequality factor: skewness and kurtosis as a measure of set-class cohesion ⋮ Pairwise Well-Formed Scales and a Bestiary of Animals on the Hexagonal Lattice ⋮ Tuning continua and keyboard layouts ⋮ Generalized diatonic scales ⋮ LR property of non-well-formed scales ⋮ Modelling the similarity of pitch collections with expectation tensors ⋮ Distributional Analysis of n-Dimensional Feature Space for 7-Note Scales in 22-TET

Cites Work

• Musical Scales and the Generalized Circle of Fifths
• A model for pattern perception with musical applications part I: Pitch structures as order-preserving maps

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