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9780198511878

Music and Mathematics From Pythagoras to Fractals

by ; ;
  • ISBN13:

    9780198511878

  • ISBN10:

    0198511876

  • Format: Hardcover
  • Copyright: 2003-12-04
  • Publisher: Oxford University Press
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List Price: $89.50

Summary

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, authorized 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.

Table of Contents

Music and mathematics: an overview 1(10)
Susan Wollenberg
Part I: Music and mathematics through history 11(34)
1. Tuning and temperament: closing the spiral
13(16)
Neil Bibby
2. Musical cosmology: Kepley and his readers
29(16)
J.V. Field
Part II: The mathematics of musical sound 45(44)
3. The science of musical sound
47(14)
Charles Taylor
4. Faggot's fretful fiasco
61(16)
Ian Stewart
5. Helmholtz: combinational tones and consonance
77(12)
David Fowler
Part III: Mathematical structure in music 89(58)
6. The geometry of music
91(22)
Wilfrid Hodges
7. Ringing the changes: bells and mathematics
113(18)
Dermot Roaf and Arthur White
8. Composing with numbers: sets, rows and magic squares
131(16)
Jonathan Cross
Part IV: The composer speaks 147(26)
9. Microtoner and projective planes
149(14)
Carlton Gamer and Robin Wilson
10. Composing with fractals
163(10)
Robert Sherlaw Johnson
Notes on contributors 173(4)
Notes, references, and further reading 177(6)
Acknowledgements 183(4)
Index 187

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