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The Math Behind the Music with CD-ROM


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Table of Contents

Preface; Acknowledgments; 1. Mathematics and music, a duet; 2. Pitch: the ground of music; 3. Tuning up; 4. How to vary a theme mathematically; 5. Bells and groups: music by chance; 6. Pattern, pattern, pattern ; 7. Sight meets sound; 8. How NOT to mix mathematics and music; 9. Bibliography; Contents of the CD; Illustration credits; Index.

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Explores mathematics aspects of music from its acoustical bases to compositional techniques to music criticism.


'Harkleroad's clear writing and generally well-chosen analogies simplify without trivializing the ideas he presents ... I recommend this book especially to readers who have an interest in music and mathematics but perhaps not a lot of preparation, such as musicians, students in secondary education, or the interested lay public. Though equations actually rear their heads, they are tamed by Harkleroad's patient and careful explanations.' SIAM 'The book can be recommended as a first survey. Those who want to know more can find many suggestions for further study in the extensive bibliography. The book addresses readers who do not have much mathematical knowledge. Everything is explained clearly and at great length, and the theoretical facts are illustrated by many pictures, scores, and the tracks on the accompanying CD.' The Mathematical Intelligencer

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