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Musical Scales and the Generalized Circle of Fifths · Study

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ArticleMusical Scales and the Generalized Circle of Fifths

John Clough1986

Article1986

Musical Scales and the Generalized Circle of Fifths

John Clough · Gerald Myerson

80 citations·0/0 files stored·American Mathematical Monthly

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Musicology and Musical Analysis History and Theory of Mathematics Mathematics and Applications

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References

1981Tonal implications of the diatonic set

Cited by

1999Scales, Sets, and Interval Cycles: A Taxonomy 2007David Lewin and maximally even sets 2011Modes, the Height-Width Duality, and Handschin’s Tone Character 2007Musical intervals and special linear transformations 2007Coherence and sameness in well-formed and pairwise well-formed scales 2012Two theorems concerning rational approximations 1996Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach 2020Axiomatic scale theory

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1995Supplement to the Theory of Augmented-Sixth Chordsarticle · 1 shared reference 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analoguesarticle · 1 shared reference 1999Scales, Sets, and Interval Cycles: A Taxonomyarticle · 1 shared reference 2007Enharmonic Position Finding and the Resolution of Seventh Chords in Chromatic Musicarticle · 1 shared reference 2018Gjerdingen’s Schemata Reexaminedarticle · 1 shared reference 2011Modes, the Height-Width Duality, and Handschin’s Tone Characterarticle · 1 shared reference

Details

Year1986

Typearticle

Published1986-11-01

VenueAmerican Mathematical Monthly

ISSN-L0002-9890

Languageen

Citations80

Files0 public / 0

ShelfMusicology and Musical Analysis

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doi10.1080/00029890.1986.11971924

openalex_workW2321179210

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