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Towards A Categorical Approach of Transformational Music Theory
12 references·0 citing·28 second hop
Towards A Categorical Approach of Transformational Music Theory (2012)Towards A Categorical Approach of Transfo…Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions (2012)Building Generalized Neo-Riem…Contextual-Inversion Spaces (2011)Contextual-Inversion SpacesCommuting Groups and the Topos of Triads (2011)Commuting Groups and the Topo…Wreath Products in Transformational Music Theory (2009)Wreath Products in Transforma…Cross-Type Transformations and the Path Consistency Condition (2007)Cross-Type Transformations an…Neo-Riemannian Theory and the Analysis of Pop-Rock Music (2004)Neo-Riemannian Theory and the…Uniform Triadic Transformations (2002)Uniform Triadic Transformatio…Moving beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords (1998)Moving beyond Neo-Riemannian …Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective (1998)Introduction to Neo-Riemannia…Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)Neo-Riemannian Operations, Pa…Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Maximally Smooth Cycles, Hexa…Generalized Musical Intervals and Transformations (1988)Generalized Musical Intervals…Musical Actions of Dihedral Groups (2009)Morphisms of generalized interval systems and PR -groups (2013)A Categorical Generalization of Klumpenhouwer Networks (2015)Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization (2020)Perspectives of New Music (1963)S cale T heory , S erial T heory and V oice L eading (2008)Tonality and transformation (2012)Transformational Analysis and the Representation of Genius in Film Music (2013)Women, Fire, and Dangerous Things (1987)Women, Fire, and Dangerous Things: What Categories Reveal about the Mind (1988)Metaphors We Live By (2003)Incorporating Voice Permutations into the Theory of Neo-Riemannian Groups and Lewinian Duality (2013)Why topology? (2020)An Eightfold Taxonomy of Harmonic Progressions, and Its Application to Triads Related by Major Third and Their Significance in Recent Screen Music (2023)Analysing popular music: theory, method and practice (1982)Guitar Voicing in Pop-Rock Music (2011)Parsimony and Extravagance (2005)David Lewin and Valhalla Revisited: New Approaches to Motivic Corruption in Wagner'sRingCycle (2007)As Wonderful as Star Clusters: Instruments for Gazing at Tonality in Schubert (1999)Uniformity, Balance, and Smoothness in Atonal Voice Leading (2003)Aspects of Well-Formed Scales (1989)Generalized Voice-Leading Spaces (2008)Action and Agency Revisited (2013)Weitzmann's Regions, My Cycles, and Douthett's Dancing Cubes (2000)Scale Networks and Debussy (2004)A Cognitive Theory of Musical Meaning (2000)The Geometry of Musical Chords (2006)A geometry of music: harmony and counterpoint in the extended common practice (2012)
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References

  • 1988Generalized Musical Intervals and Transformations487 cited
  • 1996Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions376 cited
  • 1997Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations332 cited
  • 1998Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective305 cited
  • 2002Uniform Triadic Transformations118 cited
  • 1998Moving beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords115 cited
  • 2004Neo-Riemannian Theory and the Analysis of Pop-Rock Music94 cited
  • 2007Cross-Type Transformations and the Path Consistency Condition66 cited
  • 2011Contextual-Inversion Spaces25 cited
  • 2011Commuting Groups and the Topos of Triads25 cited
  • 2009Wreath Products in Transformational Music Theory11 cited
  • 2012Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions10 cited

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