The Geometry of Musical Rhythm : What Makes a Good Rhythm Good?, Second Edition. (eBook, 2019) [WorldCat.org]
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The Geometry of Musical Rhythm : What Makes a Good Rhythm Good?, Second Edition.

Author: Godfried T Toussaint
Publisher: Milton : CRC Press LLC, 2019.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Summary:
The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Toussaint, Godfried T.
Geometry of Musical Rhythm : What Makes a Good Rhythm Good?, Second Edition.
Milton : CRC Press LLC, ©2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Godfried T Toussaint
ISBN: 9781351247764 135124776X
OCLC Number: 1129218739
Description: 1 online resource (371 pages)
Contents: Preface to First Edition --
Preface to Second Edition --
1. What is Rhythm --
2. Isochrony, Tempo, and Performance --
3. Timelines, Ostinatos and Meter --
4. The Wooden Claves --
5. The Iron Bells --
6. The Clave Son: A Ubiquitous Rhythm --
7. Six Distinguished Rhythm Timelines --
8. The Distance Geometry of Rhythm --
9. Classification of Rhythms --
10. Binary and Ternary Rhythms --
11. The Isomorphism Between Rhythms and Scales --
12. Binarization, Ternarization, and Quantization of Rhythms --
13. Syncopated Rhythms --
14. Necklaces and Bracelets --
15. Rhythmic Oddity --
16. Offbeat Rhythms --
17. Rhythm Complexity --
18. Meter and Metric Complexity --
19. Rhythmic Grouping --
20. Dispersion Problems: Perfectly Even, Maximally Even, and Balanced Rhythms --
21. Euclidean Rhythms, Euclidean Strings, and Well-Formed Rhythms --
22. Lunisolar Rhythms: Leap Year Patterns --
23. Almost Maximally Even Rhythms --
24. Homometric Rhythms and Crystallography --
25. Complementary Rhythms --
26. Flat Rhythms and Radio Astronomy --
27. Deep Rhythms --
28. Shelling Rhythms --
29. Phase Rhythms: The "Good," the "Bad," and the "Ugly" --
30. Phantom Rhythms --
31. Reflection Rhythms, Elastic Rhythms, and Rhythmic Canons --
32. Toggle Rhythms --
33. Symmetric Rhythms --
34. Rhythms with an Odd Number of Pulses --
35. Visualization and Representation of Rhythms --
36. Rhythm Similarity and Dissimilarity --
37. Grouping and Meter as Features of Rhythm Similarity --
38. Regular and Irregular Rhythms --
39. Evolution and Phylogenetic Analysis of Musical Rhythms --
40. Rhythm Combinatorics --
41. What Makes the Clave Son Such a "Good" Rhythm? --
42. On the Origin, Evolution, and Migration of the Clave Son --
43. Epilogue --
References --
Index.

Abstract:

The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic analysis and illustrated its application to the study of musical rhythm. The new edition retains all of this, while also adding 100 pages, 93 figures, 225 new references, and six new chapters covering topics such as meter and metric complexity, rhythmic grouping, expressive timbre and timing in rhythmic performance, and evolution phylogenetic analysis of ancient Greek paeonic rhythms. In addition, further context is provided to give the reader a fuller and richer insight into the historical connections between music and mathematics.

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"The late Godfried Toussaint studied the rhythms of the world like a gold panner, collecting with meticulousness and passion all the motifs that different cultures have given birth to. Thanks to his Read more...

 
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