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On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation
16 references·1 citing·22 second hop
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this work references cited by second hop

References

  • 1991Maximally Even Sets203 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 1986Musical Scales and the Generalized Circle of Fifths80 cited
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited
  • 1979Aspects of Diatonic Sets51 cited
  • 2011Modes, the Height-Width Duality, and Handschin’s Tone Character42 cited
  • 2007Musical intervals and special linear transformations29 cited
  • 1975Pitch Notation and Equal Temperament: A Formal Study28 cited
  • 2007Enharmonic systems: A theory of key signatures, enharmonic equivalence and diatonicism17 cited
  • 2012Two theorems concerning rational approximations16 cited
  • 2008Generalized diatonic scales14 cited
  • 2015Triads as Modes within Scales as Modes9 cited
  • 2017Addendum to “Two theorems concerning rational approximations”7 cited
  • 2000Balzano and Zweifel: Another Look at Generalized Diatonic Scales7 cited

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Cited by

  • 2024Partition Entropy as a Measure of Regularity of Music Scales4 cited