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Why topology?
16 references·4 citing·27 second hop
Why topology? (2020)Why topology?The Generalized Tonnetz (2012)The Generalized TonnetzSpelled Heptachords (2011)Spelled HeptachordsSignature Transformations (2008)Signature TransformationsGeneralized Voice-Leading Spaces (2008)Generalized Voice-Leading Spa…The Geometry of Musical Chords (2006)The Geometry of Musical ChordsVoice Leading in Set-Class Space (2005)Voice Leading in Set-Class Sp…Uniformity, Balance, and Smoothness in Atonal Voice Leading (2003)Uniformity, Balance, and Smoo…Voice-Leading Spaces (1998)Voice-Leading SpacesParsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition (1998)Parsimonious Graphs: A Study …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…Atonality, Analysis, and the Intentional Fallacy (1996)Atonality, Analysis, and the …Generalized Musical Intervals and Transformations (1987)Generalized Musical Intervals…Style and Idea: Selected Writings of Arnold Schoenberg (1975)Style and Idea: Selected Writ…Perspectives of New Music (1963)Perspectives of New MusicRational choice and the structure of the environment. (1956)Rational choice and the struc…Transformations for the Twenty-First Century (2025)Transformations for the Twent…Diatonic Voice-Leading Transformations (2023)Diatonic Voice-Leading Transf…Approximate Set Theory (2023)Approximate Set TheoryGeneralizing the Orbifold Model for Voice Leading (2022)Generalizing the Orbifold Mod…The theory of decision making. (1954)A BEHAVIORAL MODEL OF RATIONAL CHOICE (1955)The Framing of Decisions and the Psychology of Choice (1981)Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment. (1983)Individual differences in reasoning: Implications for the rationality debate? (2000)Validity in Interpretation (1967)The Structure of Atonal Music (1973)Schenkerian Analysis of Modern Jazz: Questions about Method (1998)The Question of Purpose in Music Theory: Description, Suggestion, and Explanation (2001)Metaphors of depth in German musical thought : from E. T. A. Hoffmann to Arnold Schoenberg (2011)Tone and Voice: A Derivation of the Rules of Voice-Leading from Perceptual Principles (2001)The distance geometry of music (2008)The Oxford Handbook of Neo-Riemannian Music Theories (2011)Generalized Musical Intervals and Transformations (1988)The Major Tritone Progression in Recent Hollywood Science Fiction Films (2006)Cross-Type Transformations and the Path Consistency Condition (2007)Atonal prolongational structure (1989)The Cambridge History of American Music (1998)Riffs, Repetition, and Theories of Globalization (1999)The Propulsion Model of Creative Contributions Applied to the Arts and Letters (2001)Musical Witness and Holocaust Representation (2015)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)A Cognitive Theory of Musical Meaning (2000)Scale Networks and Debussy (2004)Action and Agency Revisited (2013)
this work references cited by second hop

References

  • 1956Rational choice and the structure of the environment.5,918 cited
  • 1963Perspectives of New Music381 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
  • 2006The Geometry of Musical Chords292 cited
  • 1998Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition249 cited
  • 1975Style and Idea: Selected Writings of Arnold Schoenberg237 cited
  • 2008Generalized Voice-Leading Spaces235 cited
  • 2003Uniformity, Balance, and Smoothness in Atonal Voice Leading131 cited
  • 1996Atonality, Analysis, and the Intentional Fallacy91 cited
  • 2008Signature Transformations84 cited
  • 1987Generalized Musical Intervals and Transformations79 cited
  • 2012The Generalized Tonnetz64 cited
  • 1998Voice-Leading Spaces63 cited
  • 2005Voice Leading in Set-Class Space55 cited
  • 2011Spelled Heptachords47 cited

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Cited by

  • 2022Generalizing the Orbifold Model for Voice Leading6 cited
  • 2025Transformations for the Twenty-First Century4 cited
  • 2023Diatonic Voice-Leading Transformations4 cited
  • 2023Approximate Set Theory2 cited