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Enharmonic systems: A theory of key signatures, enharmonic equivalence and diatonicism
15 references·5 citing·26 second hop
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this work references cited by second hop

References

  • 1988Generalized Musical Intervals and Transformations487 cited
  • 1997Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations332 cited
  • 1998Tuning, Timbre, Spectrum, Scale205 cited
  • 1991Maximally Even Sets203 cited
  • 1980The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems195 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 1987Generalized Musical Intervals and Transformations79 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited
  • 1987The Structure of Recognizable Diatonic Tunings47 cited
  • 1986The Structure of Recognizable Diatonic Tunings38 cited
  • 1992Riemann's "Ideen zu Einer 'Lehre von den Tonvorstellungen' ": An Annotated Translation37 cited
  • 2008Music theory and mathematics : chords, collections, and transformations32 cited
  • 1992Ideas for a Study "On the Imagination of Tone"31 cited
  • 2000The Line of Fifths22 cited

Cited by

  • 2013Scalar context in musical models

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10 cited
  • 2015On the construction, comparison, and exchangeability of tuning systems6 cited
  • 2009Formal Diatonic Intervallic Notation5 cited
  • 2023On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation4 cited
  • 2013Toward the reconciliation of mathematical theories of voice leading3 cited