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Music and Mathematics: From Pythagoras to Fractals

  • Author: Fauvel, John
  • Author: Flood, Raymond
  • Author: Wilson, Robin

Book

$56.50

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Contents

  • Preface
  • Susan Wollenberg: Music and mathematics: an overview
  • Part I: Music and mathematics through history
  • 1 Neil Bibby: Tuning and temperament: closing the spiral
  • 2 J.V. Field: Musical cosmology: Kepler and his readers
  • Part II: The mathematics of musical sound
  • 3 Charles Taylor: The science of musical sound
  • 4 Ian Stewart: Faggot's fretful blunder
  • 5 David Fowler: Helmholtz: combinational tones and consonance
  • Part III: Mathematical structure in music
  • 6 Wilfrid Hodges: Musical frieze patterns
  • 7 Dermot Roaf and Arthur White: Ringing the changes: bells and mathematics
  • 8 Jonathan Cross: Composing with numbers: sets, rows and magic squares
  • Part IV: The composer speaks
  • 9 Carlton Gamer & Robin Wilson: Microtones and projective planes
  • 10 Robert Sherlaw Johnson: Composing with fractals
  • Notes on contributors
  • Notes, references, and further reading
  • Acknowledgements
  • Index