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Music and Mathematics
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Music and Mathematics

Music and Mathematics

From Pythagoras to Fractals

John Fauvel, Raymond Flood, Robin Wilson

190 pages, parution le 01/01/2006

Résumé

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Readership: Suitable for students of both music and mathematics, as well as the general reader with an interest in music.

L'auteur - John Fauvel

John Fauvel, Formerly of the Open University, UK

L'auteur - Raymond Flood

Raymond Flood, Department for Continuing Education, Oxford University

L'auteur - Robin Wilson

Robin Wilson, Keble College, Oxford University

Sommaire

  • Music and mathematics through history
    • Tuning and temperament: closing the spiral
    • Musical cosmology: Kepler and his readers
  • The mathematics of musical sound
    • The science of musical sound
    • Faggot's fretful blunder
    • Helmholtz: combinational tones and consonance
  • Mathematical structure in music
    • Musical frieze patterns
    • Ringing the changes: bells and mathematics
    • Composing with numbers: sets, rows and magic squares
  • The composer speaks
    • Microtones and projective planes
    • Composing with fractals
    • Notes on contributors
    • Notes, references, and further reading
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Caractéristiques techniques

  PAPIER
Éditeur(s) Oxford University Press
Auteur(s) John Fauvel, Raymond Flood, Robin Wilson
Parution 01/01/2006
Nb. de pages 190
Format 19 x 25
Couverture Broché
Poids 460g
Intérieur Noir et Blanc
EAN13 9780199298938
ISBN13 978-0-19-929893-8

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