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The Continuous Hexachordal Theorem
14 references·0 citing·33 second hop
The Continuous Hexachordal Theorem (2009)The Continuous Hexachordal TheoremThe Topos of Music (2018)The Topos of MusicThe Geometry of Musical Rhythm (2016)The Geometry of Musical RhythmDavid Lewin and maximally even sets (2007)David Lewin and maximally eve…The Geometry of Musical Chords (2006)The Geometry of Musical ChordsMathematical theory of music (2006)Mathematical theory of musicThe Geometry of Musical Rhythm (2005)The Geometry of Musical RhythmThe Topos of Music (2002)The Topos of MusicThe Hexachordal Theorem: A Mathematical Look at Interval Relations in Twelve-Tone Composition (1999)The Hexachordal Theorem: A Ma…Pitch-Class Complementation and Its Generalizations (1990)Pitch-Class Complementation a…Generalized Musical Intervals and Transformations (1988)Generalized Musical Intervals…On Allen Forte's Theory of Chords (1974)On Allen Forte's Theory of Ch…The Structure of Atonal Music (1973)The Structure of Atonal MusicRe: The Intervallic Content of a Collection of Notes, Intervallic Relations between a Collection of Notes and Its Complement: An Application to Schoenberg's Hexachordal Pieces (1960)Re: The Intervallic Content o…Re: Intervallic Relations between Two Collections of Notes (1959)Re: Intervallic Relations bet…Basic atonal theory (1980)Maximally Even Sets (1991)Hemiola, Maximal Evenness, and Metric Ambiguity in Late Ligeti (2012)Stability and Change in Rhythmic Patterning Across a Composer’s Lifetime (2015)The Cambridge Companion to Rhythm (2020)Aspects of Well-Formed Scales (1989)Applications of DFT to the Theory of Twentieth-Century Harmony (2015)Exploring the space of perfectly balanced rhythms and scales (2017)Steve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities (2020)Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)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)The Structure of Atonal Music (1974)African Polyphony and Polyrhythm (1991)An Approach to Musical Rhythm in Agbadza (2019)Layers and Elasticity in the Rhythm of Noh Songs (2019)Logic in Reality (2008)Generalizing Musical Intervals (2009)Generalized Voice-Leading Spaces (2008)Action and Agency Revisited (2013)A Theory of Set-Complexes for Music (1964)Continuous Harmonic Spaces (2007)Liszt's Experimental Idiom and Music of the Early Twentieth Century (1987)Atonal prolongational structure (1989)Uniformity, Balance, and Smoothness in Atonal Voice Leading (2003)Evolution of tonal organization in music mirrors symbolic representation of perceptual reality. Part-1: Prehistoric (2015)Special Collections (2016)Schoenberg's Atonal Music: Musical Idea, Basic Image, and Specters of Tonal Function (2019)Statistics in Musicology (2003)P aradoxes of P itch S pace (2008)Modes, the Height-Width Duality, and Handschin’s Tone Character (2011)
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References

  • 1973The Structure of Atonal Music501 cited
  • 1988Generalized Musical Intervals and Transformations487 cited
  • 2006The Geometry of Musical Chords292 cited
  • 2002The Topos of Music153 cited
  • 2018The Topos of Music106 cited
  • 2016The Geometry of Musical Rhythm89 cited
  • 1959Re: Intervallic Relations between Two Collections of Notes88 cited
  • 2005The Geometry of Musical Rhythm52 cited
  • 2007David Lewin and maximally even sets46 cited
  • 1960Re: The Intervallic Content of a Collection of Notes, Intervallic Relations between a Collection of Notes and Its Complement: An Application to Schoenberg's Hexachordal Pieces41 cited
  • 1974On Allen Forte's Theory of Chords33 cited
  • 1990Pitch-Class Complementation and Its Generalizations25 cited
  • 2006Mathematical theory of music23 cited
  • 1999The Hexachordal Theorem: A Mathematical Look at Interval Relations in Twelve-Tone Composition9 cited

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