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Music and Mathematics: From Pythagoras to Fractals » (New Edition)
Authors: John Fauvel (Editor), Robin Wilson (Editor), Raymond Flood
ISBN-13: 9780199298938, ISBN-10: 0199298939
Format: Paperback
Publisher: Oxford University Press, USA
Date Published: September 2006
Edition: New Edition
Author Biography: John Fauvel
Open University (deceased)
Oxford University
Keble College, Oxford University
Book Synopsis
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 | |
| Pt. I | Music and mathematic through history | 11 |
| 1 | Tuning and temperament: closing the spiral | 13 |
| 2 | Musical cosmology: Kepler and his readers | 29 |
| Pt. II | The mathematics of musical sound | 45 |
| 3 | The science of musical sound | 47 |
| 4 | Faggot's fretful fiasco | 61 |
| 5 | Helmholtz: combinational tones and consonance | 77 |
| Pt. III | Mathematical structure in music | 89 |
| 6 | The geometry of music | 91 |
| 7 | Ringing the changes: bells and mathematics | 113 |
| 8 | Composing with numbers: sets, rows and magic squares | 131 |
| Pt. IV | The composer speaks | 147 |
| 9 | Microtomes and projective planes | 149 |
| 10 | Composing with fractals | 163 |
| Notes on contributors | 173 | |
| Notes, references, and further reading | 177 | |
| Acknowledgements | 183 | |
| Index | 187 |
Subjects
Entertainment
Music Books Music Theory & Composition
Science & Nature Mathematics History of Mathematics
Science & Nature Physics Acoustics & Physics of Music
Science & Nature All Science & Nature Mathematics
Science & Nature All Science & Nature Physics
Nonfiction Science & Nature Mathematics
Nonfiction Science & Nature Physics
Nonfiction Science & Nature All Science & Nature
Music Books Music Theory & CompositionScience & Nature
Mathematics History of MathematicsScience & Nature
Physics Acoustics & Physics of MusicScience & Nature
All Science & Nature MathematicsScience & Nature
All Science & Nature PhysicsNonfiction
Science & Nature MathematicsNonfiction
Science & Nature PhysicsNonfiction
Science & Nature All Science & Nature
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