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Triads as Modes within Scales as Modes
9 references·3 citing·25 second hop
Triads as Modes within Scales as Modes (2015)Triads as Modes within Scales as ModesModes, the Height-Width Duality, and Handschin’s Tone Character (2011)Modes, the Height-Width Duali…Music Theory and Mathematics (2008)Music Theory and MathematicsMusic theory and mathematics : chords, collections, and transformations (2008)Music theory and mathematics …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…Maximally Even Sets (1991)Maximally Even SetsAspects 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…On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation (2023)On the divisions of the octav…An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)An alternative approach to ge…Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität (2016)Die Vernunft in der Tradition…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)Music theory and mathematics (2002)Perspectives of New Music (1963)Tuning, Timbre, Spectrum, Scale (1998)Partition Entropy as a Measure of Regularity of Music Scales (2024)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)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)Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature (2015)GeneralizedTonnetzeandZeitnetze, and the topology of music concepts (2020)Cardinality Transformations in Diatonic Space (2011)Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions (2012)Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords (2016)Enharmonic systems: A theory of key signatures, enharmonic equivalence and diatonicism (2007)Understanding the leitmotif: from Wagner to Hollywood film music (2016)Rhythmic Deviance in the Music of Meshuggah (2018)
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
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited
  • 1999Scales, Sets, and Interval Cycles: A Taxonomy55 cited
  • 2011Modes, the Height-Width Duality, and Handschin’s Tone Character42 cited
  • 2008Music theory and mathematics : chords, collections, and transformations32 cited
  • 2008Music Theory and Mathematics12 cited

Cited by

  • 2020An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain5 cited
  • 2016Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität5 cited
  • 2023On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation4 cited

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