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Math Behind the Music with CD-ROM als Buch
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Math Behind the Music with CD-ROM

Sprache: Englisch.
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Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones… weiterlesen
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Math Behind the Music with CD-ROM als Buch

Produktdetails

Titel: Math Behind the Music with CD-ROM
Autor/en: Leon Harkleroad

ISBN: 0521009359
EAN: 9780521009355
Sprache: Englisch.
CAMBRIDGE UNIVERSITY PRESS

August 2006 - kartoniert

Beschreibung

Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.

Inhaltsverzeichnis

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.

Pressestimmen

'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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