Table of contents for Music and mathematics : from Pythagoras to fractals / edited by John Fauvel, Raymond Flood, and Robin Wilson.


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Music and mathematics: an overview 1 
   Susan Wollenberg

Part I: Music and mathematics through history 11

1. Tuning and temperament: closing the spiral 13 
   Neil Bibby
2. Musical cosmology: Kepler and his readers 29 
   J. V Field

Part II: The mathematics of musical sound 45

3. The science of musical sound 47
   Charles Taylor
4. Faggot's fretful fiasco 61 
   Ian Stewart
5. Helmholtz: combinational tones and consonance 77 
   David Fowler

Part III: Mathematical structure in music 89

6. The geometry of music 91 
   Wilfrid Hodges
7. Ringing the changes: bells and mathematics 113 
   Dermot Roaf and Arthur White
8. Composing with numbers: sets, rows and magic squares 131
   Jonathan Cross

Part IV: The composer speaks 147

9. Microtones and projective planes 149 
   Carlton Gamer and Robin Wilson 
10. Composing with fractals  163
    Robert Sherlaw Johnson 
    
Notes on contributors 173 
Notes, references, and further reading 177 
Acknowledgements 183 
Index 187





Library of Congress Subject Headings for this publication: Music theory Mathematics, Musical temperament