| Description |
xiv, 143 pages : illustrations, music ; 24 cm + 1 audio disc (digital stereophonic ; 4 3/4 in.) |
|
4 3/4 in |
| Series |
Outlooks |
|
Outlooks.
|
| Contents |
Mathematics and music, a duet -- Pitch : the ground of music -- Tuning up -- How to vary a theme mathematically -- Bells and groups -- Music by chance -- Pattern, pattern, pattern -- Sight meets sound -- How NOT to mix mathematics and music |
| Summary |
"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 games 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."--BOOK JACKET |
| Bibliography |
Includes bibliographical references (pages 129-134) and index |
| Subject |
Music theory -- Mathematics.
|
|
Music -- Acoustics and physics.
|
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Pattern formation (Physical sciences)
|
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Composition (Music)
|
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Mathematics -- Study and teaching.
|
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Music -- Instruction and study.
|
| Genre/Form |
Sound recordings.
|
| LC no. |
2006014720 |
| ISBN |
9780521810951 hardback |
|
0521810957 hardback |
|
9780521009355 paperback |
|
0521009359 paperback |
|
