Music and Mathematics : from Pythagoras to fractals

著者

書誌事項

Music and Mathematics : from Pythagoras to fractals

edited by John Fauvel, Raymond Flood and Robin Wilson

Oxford University Press, 2003

大学図書館所蔵 件 / 全10件

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注記

Includes bibliographical references (p. 173-182) and index

内容説明・目次

内容説明

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.

目次

  • Preface
  • MUSIC AND MATHEMATICS: AN OVERVIEW
  • - MUSIC AND MATHEMATICS THROUGH HISTORY
  • 1. Tuning and temperament: closing the spiral
  • 2. Musical cosmology: Kepler and his readers
  • - THE MATHEMATICS OF MUSICAL SOUND
  • 3. The science of musical sound
  • 4. Faggot's fretful blunder
  • 5. Helmholtz: combinational tones and consonance
  • - MATHEMATICAL STRUCTURE IN MUSIC
  • 6. Musical frieze patterns
  • 7. Ringing the changes: bells and mathematics
  • 8. Composing with numbers: sets, rows and magic squares
  • - RECENT DEVELOPMENTS
  • 9. Microtones and projective planes
  • 10. Composing with fractals
  • Notes on contributors
  • Notes, references, and further reading
  • Index

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