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Book

The Geometry of Musical Rhythm

Book

The Geometry of Musical Rhythm

DOI link for The Geometry of Musical Rhythm

The Geometry of Musical Rhythm book

What Makes a "Good" Rhythm Good?

The Geometry of Musical Rhythm

DOI link for The Geometry of Musical Rhythm

The Geometry of Musical Rhythm book

What Makes a "Good" Rhythm Good?
ByGodfried T. Toussaint
Edition 1st Edition
First Published 2013
eBook Published 24 January 2013
Pub. Location New York
Imprint Chapman and Hall/CRC
DOI https://doi.org/10.1201/b13751
Pages 365
eBook ISBN 9780429088612
Subjects Physical Sciences
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Toussaint, G.T. (2013). The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/b13751

ABSTRACT

The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly dispara

TABLE OF CONTENTS

chapter 1|8 pages

■ What Is Rhythm?

chapter 2|4 pages

■ A Steady Beat

chapter 3|4 pages

■ Timelines, Ostinatos, and Meter

chapter 4|2 pages

■ The Wooden Claves

chapter 5|4 pages

■ The Iron Bells

chapter 6|4 pages

■ The Clave Son

chapter 7|6 pages

■ Six Distinguished Rhythm Timelines

chapter 8|6 pages

■ The Distance Geometry of Rhythm

chapter 9|6 pages

■ Classification of Rhythms

chapter 10|6 pages

■ Binary and Ternary Rhythms

chapter 11|6 pages

■ The Isomorphism of Rhythm and Scale

chapter 12|10 pages

■ Binarization, Ternarization, and Quantization of Rhythms

chapter 13|6 pages

■ Syncopated Rhythms

chapter 14|12 pages

■ Necklaces and Bracelets

chapter 15|14 pages

■ Rhythmic Oddity

chapter 16|8 pages

■ Off-Beat Rhythms

chapter 17|14 pages

■ Rhythm Complexity

chapter 18|8 pages

■ Dispersion Problems and Maximally Even Rhythms

chapter 19|8 pages

■ Euclidean Rhythms

chapter 20|6 pages

■ Leap Years: The Rhythm of the Stars

chapter 21|8 pages

■ Approximately Even Rhythms

chapter 22|6 pages

■ Rhythms and Crystallography

chapter 23|8 pages

■ Complementary Rhythms

chapter 24|10 pages

■ Radio Astronomy and Flat Rhythms

chapter 25|12 pages

■ Deep Rhythms

chapter 26|8 pages

■ Shelling Rhythms

chapter 27|12 pages

■ Phantom Rhythms

chapter 28|10 pages

■ Reflection Rhythms and Rhythmic Canons

chapter 29|8 pages

■ Toggle Rhythms

chapter 30|12 pages

■ Symmetric Rhythms

chapter 31|6 pages

■ Odd Rhythms

chapter 32|4 pages

■ Other Representations of Rhythm

chapter 33|10 pages

■ Rhythmic Similarity and Dissimilarity

chapter 34|8 pages

■ Regular and Irregular Rhythms

chapter 35|10 pages

■ Evolution and Phylogenesis of Musical Rhythm

chapter 36|4 pages

■ Rhythmic Combinatorics

chapter 37|14 pages

■ What Makes the Clave Son Such a Good Rhythm?

chapter 38|12 pages

■ The Origin, Evolution, and Migration of the Clave Son

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