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Perfect balance and circularly rich words
9 references·0 citing·31 second hop
Perfect balance and circularly rich words (2017)Perfect balance and circularly rich wordsExploring the space of perfectly balanced rhythms and scales (2017)Exploring the space of perfec…Two theorems concerning rational approximations (2012)Two theorems concerning ratio…Continuous Harmonic Spaces (2007)Continuous Harmonic SpacesOn Coherence and Sameness, and the Evaluation of Scale Candidacy Claims (2002)On Coherence and Sameness, an…Scales, Sets, and Interval Cycles: A Taxonomy (1999)Scales, Sets, and Interval Cy…Maximally Even Sets (1991)Maximally Even SetsAspects of Well-Formed Scales (1989)Aspects of Well-Formed ScalesMusical Scales and the Generalized Circle of Fifths (1986)Musical Scales and the Genera…The Source Set and Its Aggregate Formations (1961)The Source Set and Its Aggreg…Variety and Multiplicity in Diatonic Systems (1985)On the construction, comparison, and exchangeability of tuning systems (2015)Addendum to “Two theorems concerning rational approximations” (2017)An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Exploring Musical Space (2006)Coherence and sameness in well-formed and pairwise well-formed scales (2007)Musical intervals and special linear transformations (2007)Generalized Musical Intervals and Transformations (1988)Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)The Geometry of Musical Chords (2006)Generalized Voice-Leading Spaces (2008)Schubert’s Harmonic Language and Fourier Phase Space (2015)Special Collections (2016)Fourier Phase and Pitch-Class Sum (2019)Tonal implications of the diatonic set (1981)David Lewin and maximally even sets (2007)Modes, the Height-Width Duality, and Handschin’s Tone Character (2011)Metamagical Themas: Questing for the Essence of Mind and Pattern (1985)Harmonic qualities in Debussy's “Les sons et les parfums tournent dans l'air du soir” (2017)GeneralizedTonnetzeandZeitnetze, and the topology of music concepts (2020)Steve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities (2020)Meter and Grouping in African Music: A View from Music Theory (2000)A Platonic Model of Funky Rhythms (2016)The Geometry of Musical Rhythm (2016)A Theory of Set-Complexes for Music (1964)Music theory and mathematics (2002)A Revisionist History of Twelve-Tone Serialism in American Music (2008)Generalized diatonic scales (2008)Ostinatos in Black-Atlantic traditions: generic-specific similarity and proximity (2022)
this work references cited by second hop

References

  • 1991Maximally Even Sets203 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1986Musical Scales and the Generalized Circle of Fifths80 cited
  • 1961The Source Set and Its Aggregate Formations74 cited
  • 1999Scales, Sets, and Interval Cycles: A Taxonomy55 cited
  • 2007Continuous Harmonic Spaces51 cited
  • 2017Exploring the space of perfectly balanced rhythms and scales27 cited
  • 2012Two theorems concerning rational approximations16 cited
  • 2002On Coherence and Sameness, and the Evaluation of Scale Candidacy Claims16 cited

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