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Music Theory and Mathematics
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Music Theory and Mathematics (2008)Music Theory and MathematicsInterplay between music and mathematics in the eyes of the beholder: focusing on differing types of expertise (2024)Interplay between music and m…Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords (2016)Bridging scale theory and geo…Triads as Modes within Scales as Modes (2015)Triads as Modes within Scales…Building generalized neo-Riemannian groups of musical transformations as extensions (2013)Building generalized neo-Riem…Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions (2012)Building Generalized Neo-Riem…Cardinality Transformations in Diatonic Space (2011)Cardinality Transformations i…The legacy of John Clough in mathematical music theory (2007)The legacy of John Clough in …Maximally Even Sets (1991)Moving beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords (1998)Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition (1998)Contemporary methods in mathematical music theory: a comparative case study (2013)Scalar context in musical models (2013)Pseudo-distances between chords of different cardinality on generalized voice-leading spaces (2019)Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective (1998)All-Interval Structures (2015)Old and New Isometries between Pc sets in the Planet-4D Model (2015)Strange Symmetries (2017)Generalized Musical Intervals and Transformations (1988)Aspects of Well-Formed Scales (1989)Toward the reconciliation of mathematical theories of voice leading (2013)Knowledge and Teaching:Foundations of the New Reform (1987)Teachers’ perceptions of professional identity: an exploratory study from a personal knowledge perspective (2000)Emotional Geographies of Teaching (2001)Variety and Multiplicity in Diatonic Systems (1985)Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität (2016)An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation (2023)Distant Neighbors and Interscalar Contiguities (2019)Towards A Categorical Approach of Transformational Music Theory (2012)
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Cited by

  • 2011Cardinality Transformations in Diatonic Space10 cited
  • 2012Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions10 cited
  • 2015Triads as Modes within Scales as Modes9 cited
  • 2016Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords8 cited
  • 2007The legacy of John Clough in mathematical music theory7 cited
  • 2013Building generalized neo-Riemannian groups of musical transformations as extensions6 cited
  • 2024Interplay between music and mathematics in the eyes of the beholder: focusing on differing types of expertise4 cited

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