Modelling the similarity of pitch collections with expectation tensors

DOI10.1080/17459737.2011.573678zbMath1226.00022OpenAlexW2053918785MaRDI QIDQ3102859

Robin C. Laney, William A. Sethares, Andrew J. Milne, David B. Sharp

Publication date: 25 November 2011

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

Full work available at URL: http://oro.open.ac.uk/28353/1/Modelling_the_Similarity_of_Pitch_Collections_with_Expectation_Tensors.pdf

zbMATH Keywords

metricexpectationpitchtonesaliencetonalitymicrotonalitymusic cognitionexpectation tensor

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Combinatorial probability (60C05) Multilinear algebra, tensor calculus (15A69) Mathematics and music (00A65)

Related Items (7)

Constructing an optimal circulating temperament based on a set of musical requirements ⋮ Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters ⋮ Exploring the space of perfectly balanced rhythms and scales ⋮ A mathematical study of note association paradigms in different folk music cultures ⋮ Empirically testingTonnetz, voice-leading, and spectral models of perceived triadic distance ⋮ Musical pitch quantization as an eigenvalue problem ⋮ Quantum approaches to music cognition

Cites Work

• The Geometry of Musical Chords
• Tuning continua and keyboard layouts
• Coherence and sameness in well-formed and pairwise well-formed scales

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