Music Theory and Mathematics : Chords, Collections, and Transformations /

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The essays in Music Theory and Mathematics: Chords, Collections, and Transformations define the state of mathematically oriented music theory at the beginning of the twenty-first century. The volume includes essays in diatonic set theory, transformation t.

Detalles Bibliográficos
Otros Autores: Clough, John (John L.) (Editor ), Smith, Charles J., 1950- (Editor ), Hyde, Martha M. (Editor ), Douthett, Jack M. (Jack Moser) (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Rochester, NY : University of Rochester Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
Music theory > Mathematics.
MATHEMATICS > Applied.
MUSIC > Instruction & Study > Theory.
Theorie musicale > Mathematiques.
Festschriften.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • "Cardinality equals variety for chords" in well-formed scales, with a note on the twin primes conjecture / David Clampitt
  • Flip-flop circles and their groups / John Clough
  • Pitch-time analogies and transformations in Bartók's Sonata for two pianos and percussion / Richard Cohn
  • Filtered point-symmetry and dynamical voice-leading / Jack Douthett
  • The "over-determined" triad as a source of discord : nascent groups and the emergent chromatic tonality in nineteenth-century German harmonic theory / Nora Engebretsen
  • Signature transformations / Julian Hook
  • Some pedagogical implications of diatonic and neo-riemannian theory / Timothy A. Johnson
  • A parsimony metric for diatonic sequences / Jonathan Kochavi
  • Transformational considerations in Schoenberg's Opus 23, number 3 / David Lewin
  • Transformational etudes : basic principles and applications of interval string theory / Stephen Soderberg.

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