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Coherence and sameness in well-formed and pairwise well-formed scales
13 references·2 citing·25 second hop
Coherence and sameness in well-formed and pairwise well-formed scales (2007)Coherence and sameness in well-formed and…Scales, Sets, and Interval Cycles: A Taxonomy (1999)Scales, Sets, and Interval Cy…Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)Self-Similar Pitch Structures…Studies on the Origin of Harmonic Tonality (1992)Studies on the Origin of Harm…Maximally Even Sets (1991)Maximally Even SetsCoordination of Interval Sizes in Seven-Tone Collections (1991)Coordination of Interval Size…Aspects of Well-Formed Scales (1989)Aspects of Well-Formed ScalesA Mathematical Model of the Diatonic System (1989)A Mathematical Model of the D…The Structure of Recognizable Diatonic Tunings (1987)The Structure of Recognizable…The Structure of Recognizable Diatonic Tunings (1986)The Structure of Recognizable…Musical Scales and the Generalized Circle of Fifths (1986)Musical Scales and the Genera…Variety and Multiplicity in Diatonic Systems (1985)Variety and Multiplicity in D…The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)The Group-Theoretic Descripti…Aspects of Diatonic Sets (1979)Aspects of Diatonic SetsPseudo-diatonic Scales (2009)Pseudo-diatonic ScalesGeneralized diatonic scales (2008)Generalized diatonic scalesMaximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Exploring Musical Space (2006)Musical intervals and special linear transformations (2007)Axiomatic scale theory (2020)Gendering Modern Music: Thoughts on the Monteverdi-Artusi Controversy (1993)Dualist tonal space and transformation in nineteenth-century musical thought (2002)Music as Embodied Mathematics: A Study of a Mutually Informing Affinity (2003)Le Origini del Melodramma (2008)Generalized Musical Intervals and Transformations (1988)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)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)Tonic Arpeggiation and Successive Equal Third Relations as Elements of Tonal Evolution in the Music of Franz Liszt (1986)Music theory and mathematics (2002)A Theory of Harmony and Voice Leading for the Music of Olivier Messiaen (2005)Perceptual-cognitive universals as reflections of the world (1994)Perceptual-cognitive universals as reflections of the world (2001)The Evolution of Language (2010)Spelled Heptachords (2011)Scale Networks and Debussy (2004)The distance geometry of music (2008)Sensitive Interval Property for Scales as Words in the Free Group F2 (2011)
this work references cited by second hop

References

  • 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
  • 1986Musical Scales and the Generalized Circle of Fifths80 cited
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1992Studies on the Origin of Harmonic Tonality63 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited
  • 1999Scales, Sets, and Interval Cycles: A Taxonomy55 cited
  • 1979Aspects of Diatonic Sets51 cited
  • 1987The Structure of Recognizable Diatonic Tunings47 cited
  • 1986The Structure of Recognizable Diatonic Tunings38 cited
  • 1991Coordination of Interval Sizes in Seven-Tone Collections33 cited

Cited by

  • 2008Generalized diatonic scales14 cited
  • 2009Pseudo-diatonic Scales3 cited

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