Can a Musical Scale Have 14 Generators?

DOI10.1007/978-3-319-20603-5_35zbMath1321.00078OpenAlexW587958929MaRDI QIDQ2942349

Emmanuel Amiot

Publication date: 20 August 2015

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

Full work available at URL: https://doi.org/10.1007/978-3-319-20603-5_35

zbMATH Keywords

intervalgeneratordiscrete Fourier transformcyclic groupsinterval vectorDFTmodular arithmeticarithmetic sequenceirrationalmusic theorymusical scalegenerated scale

Mathematics Subject Classification ID

Sequences (mod (m)) (11B50) Mathematics and music (00A65)

Related Items (1)

Symbolic dynamical scales: modes, orbitals, and transversals

Uses Software

• OEIS

Cites Work

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• Maximally even sets and configurations: common threads in mathematics, physics, and music
• Autosimilar melodies
• David Lewin and maximally even sets
• Sturmian Canons
• Lambda Words: A Class of Rich Words Defined Over an Infinite Alphabet

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