Music and Mathematics: From Pythagoras to Fractals

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Overview

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 fields 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 music and mathematics are unfolded and explored with focus on tuning and temperament, the mathematics of sound, and modern compositional techniques.
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Editorial Reviews

From the Publisher

"An ear-opening book for students of mathematics, especially those who plan to teach, whose style will also suit music students keen to think in new ways. Recommended"--Choice

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Product Details

  • ISBN-13: 9780199298938
  • Publisher: Oxford University Press, USA
  • Publication date: 9/30/2006
  • Edition description: New Edition
  • Pages: 200
  • Sales rank: 819,092
  • Product dimensions: 9.60 (w) x 7.30 (h) x 0.40 (d)

Meet the Author

Open University (deceased)

Oxford University

Keble College, Oxford University

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Table of Contents

Preface
Introduction Mathematics and Music: An Overview, Susan Wollenberg
Part I:Mathematics and Music Through History
1. Tuning and Temperament: Closing the Spiral, Neil Bibby
2. Musical Cosmology: Kepler and His Readers, J.V. Field
Part II: The Mathematics of Musical Sound
3. The Science of Musical Sound, Charles Taylor
4. Faggot's Fretful Blunder, Ian Stewart
5. Helmholtz: Combinational Tones and Consonance, David Fowler
Part III: Mathematical Structure in Music
6. Musical Frieze Patterns, Wilfrid Hodges
7. Ringing the Changes: Bells and Mathematics, Dermot Roaf and Art White
8. Composing with Numbers: Sets, Rows and Magic Squares, Jonathon Cross
Part IV: Recent Developments
9. Microtones and Projective Planes, Carlton Gramer & Robin Wilson
10. Composing with Fractals, Robert Sherlaw Johnson
Bibliography

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