Music and Mathematics: From Pythagoras to Fractals

Music and Mathematics: From Pythagoras to Fractals

by John Fauvel, Raymond Flood, Robin Wilson
     
 

ISBN-10: 0199298939

ISBN-13: 9780199298938

Pub. Date: 09/30/2006

Publisher: Oxford University Press, USA

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,

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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, 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.

Product Details

ISBN-13:
9780199298938
Publisher:
Oxford University Press, USA
Publication date:
09/30/2006
Edition description:
New Edition
Pages:
200
Product dimensions:
9.60(w) x 7.30(h) x 0.40(d)

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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