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

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 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 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 36|4 pages

■ Rhythmic Combinatorics