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Sensitive Interval Property for Scales as Words in the Free Group F2
7 references·0 citing·19 second hop
Sensitive Interval Property for Scales as Words in the Free Group F2 (2011)Sensitive Interval Property for Scales as…Modes, the Height-Width Duality, and Handschin’s Tone Character (2011)Modes, the Height-Width Duali…Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)Self-Similar Pitch Structures…Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of Its Precedents (1994)Harmonic Function in Chromati…Aspects of Well-Formed Scales (1989)Aspects of Well-Formed ScalesA Mathematical Model of the Diatonic System (1989)A Mathematical Model of the D…Variety and Multiplicity in Diatonic Systems (1985)Variety and Multiplicity in D…Pitch Notation and Equal Temperament: A Formal Study (1975)Pitch Notation and Equal Temp…The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Generalized Musical Intervals and Transformations (1988)Scales, Sets, and Interval Cycles: A Taxonomy (1999)Music theory and mathematics (2002)Maximally Even Sets (1991)Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature (2015)GeneralizedTonnetzeandZeitnetze, and the topology of music concepts (2020)Musical pitch quantization as an eigenvalue problem (2020)Chromatic Transformations in Nineteenth-Century Music (2002)Dualist tonal space and transformation in nineteenth-century musical thought (2002)Hugo Riemann and the birth of modern musical thought (2004)Coherent Tone-Systems: A Study in the Theory of Diatonicism (1996)The Origin and Well-Formedness of Tonal Pitch Structures (2006)Getting involved with mathematical music theory (2014)Spelled Heptachords (2011)Scale Networks and Debussy (2004)The distance geometry of music (2008)Coherence and sameness in well-formed and pairwise well-formed scales (2007)Musical intervals and special linear transformations (2007)
this work references cited by second hop

References

  • 1989Aspects of Well-Formed Scales170 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 1994Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of Its Precedents154 cited
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited
  • 2011Modes, the Height-Width Duality, and Handschin’s Tone Character42 cited
  • 1975Pitch Notation and Equal Temperament: A Formal Study28 cited

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