Fauvel, John - Music and Mathematics

From Ancient Greek times, music has been seen as a mathematical art, and this relationship has fascinated generations. This new in paperback edition of diverse, comprehensive and fully-illustrated papers, authored by leading scholars, links the two fields in a lucid manner that is suitable for students of each subject as well as the general reader.

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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