David Lewin and maximally even sets

DOI10.1080/17459730701654990zbMath1163.42311OpenAlexW1996538963MaRDI QIDQ3630087

Emmanuel Amiot

Publication date: 2 June 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a788152305

zbMATH Keywords

discrete Fourier transformmaximally even setsDavid Lewin

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Numerical methods for discrete and fast Fourier transforms (65T50) General applied mathematics (00A69) Nontrigonometric harmonic analysis (42C99)

Related Items (15)

The Continuous Hexachordal Theorem ⋮ A Generalisation of Diatonicism and the Discrete Fourier Transform as a Mean for Classifying and Characterising Musical Scales ⋮ midiVERTO: a web application to visualize tonality in real time ⋮ Perfect Balance: A Novel Principle for the Construction of Musical Scales and Meters ⋮ Applications of DFT to the Theory of Twentieth-Century Harmony ⋮ Can a Musical Scale Have 14 Generators? ⋮ Generalized diatonic scales ⋮ Taking music seriously: on the dynamics of `mathemusical' research with a focus on hexachordal theorems ⋮ Exploring the space of perfectly balanced rhythms and scales ⋮ Computational geometric aspects of rhythm, melody, and voice-leading ⋮ Distributional Analysis of n-Dimensional Feature Space for 7-Note Scales in 22-TET ⋮ Insiders’ Choice: Studying Pitch Class Sets Through Their Discrete Fourier Transformations ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts ⋮ Axiomatic scale theory ⋮ Entropy of Fourier coefficients of periodic musical objects

Cites Work

• The topos of music IV: roots. Appendices
• Maximally even sets and configurations: common threads in mathematics, physics, and music

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