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Cardinality Transformations in Diatonic Space
7 references·5 citing·34 second hop
Cardinality Transformations in Diatonic Space (2011)Cardinality Transformations in Diatonic S…Music Theory and Mathematics (2008)Music Theory and MathematicsMusic theory and mathematics : chords, collections, and transformations (2008)Music theory and mathematics …Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition (1998)Parsimonious Graphs: A Study …Moving beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords (1998)Moving beyond Neo-Riemannian …Hyperscales and the Generalized Tetrachord (1997)Hyperscales and the Generaliz…Maximally Even Sets (1991)Maximally Even SetsSome combinatorial aspects of the musical chords (1978)Some combinatorial aspects of…Pseudo-distances between chords of different cardinality on generalized voice-leading spaces (2019)Pseudo-distances between chor…Chord Proximity, Parsimony, and Analysis with Filtered Point-Symmetry (2019)Chord Proximity, Parsimony, a…Thoughts and reactions (2013)Thoughts and reactionsScalar context in musical models (2013)Scalar context in musical mod…Contemporary methods in mathematical music theory: a comparative case study (2013)Contemporary methods in mathe…Generalized Musical Intervals and Transformations (1988)Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)The Geometry of Musical Chords (2006)Toward the reconciliation of mathematical theories of voice leading (2013)Transformations in Tonal Jazz (2017)Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)A geometry of music: harmony and counterpoint in the extended common practice (2011)A space for inflections: following up onJMM’s special issue on mathematical theories of voice leading (2013)Dancing with the Scales (2014)The Oxford companion to music (1943)The Oxford Companion to Music (1955)The Minkowski Geometry of Numbers Applied to the Theory of Tone Systems (2013)Chordal and timbral morphologies using Hamiltonian cycles (2014)Generalized Voice-Leading Spaces (2008)Three Conceptions of Musical Distance (2009)Generalizing the Orbifold Model for Voice Leading (2022)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)Weitzmann's Regions, My Cycles, and Douthett's Dancing Cubes (2000)Neo-Riemannian Theory and the Analysis of Pop-Rock Music (2004)Scale Networks and Debussy (2004)Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles (2000)Journal of Music Theoryover the Years (2006)Tonal prisms: iterated quantization in chromatic tonality and Ravel's ‘Ondine’ (2013)As Wonderful as Star Clusters: Instruments for Gazing at Tonality in Schubert (1999)Uniform Triadic Transformations (2002)A geometry of music: harmony and counterpoint in the extended common practice (2012)Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions (2012)Triads as Modes within Scales as Modes (2015)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

  • 1998Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition249 cited
  • 1991Maximally Even Sets203 cited
  • 1998Moving beyond Neo-Riemannian Triads: Exploring a Transformational Model for Seventh Chords115 cited
  • 2008Music theory and mathematics : chords, collections, and transformations32 cited
  • 1997Hyperscales and the Generalized Tetrachord16 cited
  • 1978Some combinatorial aspects of the musical chords13 cited
  • 2008Music Theory and Mathematics12 cited

Cited by

  • 2013Scalar context in musical models10 cited
  • 2019Pseudo-distances between chords of different cardinality on generalized voice-leading spaces8 cited
  • 2013Contemporary methods in mathematical music theory: a comparative case study6 cited
  • 2019Chord Proximity, Parsimony, and Analysis with Filtered Point-Symmetry4 cited
  • 2013Thoughts and reactions3 cited

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