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Musical Scales and the Generalized Circle of Fifths
1 references·16 citing·31 second hop
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References

  • 1981Tonal implications of the diatonic set114 cited

Cited by

  • 1999Scales, Sets, and Interval Cycles: A Taxonomy55 cited
  • 2007David Lewin and maximally even sets46 cited
  • 2011Modes, the Height-Width Duality, and Handschin’s Tone Character42 cited
  • 2007Musical intervals and special linear transformations29 cited
  • 2007Coherence and sameness in well-formed and pairwise well-formed scales24 cited
  • 2020Axiomatic scale theory16 cited
  • 2012Two theorems concerning rational approximations16 cited
  • 1996Generalized Diatonic and Pentatonic Scales: A Group-Theoretic Approach16 cited
  • 2003Méthodes algébriques dans la musique et la musicologie du XXème siècle : aspects théoriques, analytiques et compositionnels15 cited
  • 2008Generalized diatonic scales14 cited
  • 2000Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles14 cited
  • 2007Continued fractions, best measurements, and musical scales and intervals12 cited
  • 2022The line of fifths and the co-evolution of tonal pitch-classes9 cited
  • 2006Fourier Oracles for Computer-Aided Improvisation

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8 cited
  • 2007The legacy of John Clough in mathematical music theory7 cited
  • 2010Two notions of well-formedness in the organization of musical pitch6 cited