Music and Mathematics: From Pythagoras to Fractals

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Oxford University Press, 2006 - Mathematics - 189 pages
4 Reviews
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.
 

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Review: Music and Mathematics: From Pythagoras to Fractals

User Review  - Andrew Marr - Goodreads

Maurice Sendak, a lover of Mozart, said he can't read music at all, but that gives him a greater appreciation for the beauty of Mozart's manuscripts than a musician can have. It's that way for me with ... Read full review

Review: Music and Mathematics: From Pythagoras to Fractals

User Review  - Goodreads

Maurice Sendak, a lover of Mozart, said he can't read music at all, but that gives him a greater appreciation for the beauty of Mozart's manuscripts than a musician can have. It's that way for me with ... Read full review

Contents

an overview
1
closing the spiral
13
Kepler and his readers
29
The science of musical sound
47
Faggots fretful fiasco
61
combinational tones and consonance
77
The geometry of music
91
bells and mathematics
113
sets rows
131
Microtones and projective planes
149
Composing with fractals
163
Notes on contributors
173
Acknowledgements
183
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About the author (2006)

John Fauvel is formerly of the Open University, UK. Raymond Flood is in the Department for Continuing Education, Oxford University. Robin Wilson is at Keble College, Oxford University.

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