The Math Behind the Music with CD-ROM (Outlooks)

The Math Behind the Music with CD-ROM (Outlooks)

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Leon Harkleroad
Cambridge University Press
Edition: Pap/Cdr, 8/7/2006
EAN 9780521009355, ISBN10: 0521009359

Paperback, 158 pages, 22.8 x 15.2 x 1.4 cm
Language: English

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 twentieth 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.

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