The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good?, Second Edition
- Author: Toussaint, Godfried T.
Book
$80.25Contents
- Preface to First Edition
- Preface to Second Edition
- 1. What is Rhythm
- 2. Isochrony, Tempo, and Performance
- Isochronous Rhythms
- Tempo
- 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
- The Shiko Timeline
- The Clave Rumba
- The Soukous Timeline
- The Gahu Timeline
- The Bossa-Nova Timeline
- 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
- Metrical Complexity
- Keith's Measure of Syncopation
- 14. Necklaces and Bracelets
- 15. Rhythmic Oddity
- 16. Off-Beat Rhythms
- 17. Rhythm Complexity
- Objective, Cognitive and Performance Complexities
- The Lempel-Ziv Complexity
- The Cognitive Complexity of Rhythms
- Irregularity and the Normalized Pairwise Variability Index
- 18. Meter and Metric Complexity
- What is Meter?
- Does African Rhythm Possess Meter?
- Pulse Saliency Histograms in Renaissance and Common Practice Music
- African Rhythm Timelines and Western Music
- Keith's Mathematical Measure of Meter Complexity
- The Interaction Between Meter and Rhythm Perception
- 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
- Reflection Rhythms
- Paradiddle Method
- Alternating-Hands Method
- Elastic Rhythms
- Rhythmic Canons
- 32. Toggle Rhythms
- 33. Symmetric Rhythms
- Hourglass Rhythms
- Sub-Symmetries
- 34. Rhythms with an Odd Number of Pulses
- 35. Visualization and Representation of Rhythms
- Alternating-Hands Box Notation
- Spectral Notation
- TEDAS Notation
- Chronotonic Notation
- Phase Space Plots
- Tangle Diagrams
- 36. Rhythm Similarity and Dissimilarity
- Hamming Distance
- Swap Distance
- Directed Swap Distance
- Many-to-Many Assignment Distance
- Geometric Distance
- Edit Distance
- 37. Grouping and Meter as Features of Rhythm Similarity
- The Edit Distance with Grouping Information
- The Edit Distance with Meter Information
- 38. Regular and Irregular Rhythms
- 39. Evolution and Phylogenetic Analysis of Musical Rhythms
- Phylogenetic Analysis of Cultural Objects
- Phylogenetic Analysis of Flamenco Compas
- The Guajira
- Phylogenetic Analysis of Ancient Greek Paeonic Rhythms
- 40. Rhythm Combinatorics
- 41. What Makes the Clave Son Such a "Good" Rhythm?
- Evenness and Balance
- Rhythmic Oddity
- Off-Beatness
- Weighted Off-Beatness
- Metrical Complexity and Keith's Measure of Syncopation
- Main-Beat Onsets and Closure
- Cardinality of Distinct Durations
- Cardinality of Distinct Adjacent Durations
- Onset-Complexity and Sum of Distinct Distances
- Deep Rhythms, Deepness, and Shallowness
- Tallness
- Prototypicality and Phylogenetic Tree Centrality
- Mirror Symmetry
- Pulse Sub-Symmetries
- IOI Duration Sub-Symmetries
- Area of Phase Space Plots
- Fractal Metric Hierarchy
- Shadow Contour Isomorphism
- 42. On the Origin, Evolution, and Migration of the Clave Son
- 43. Epilogue
- References
- Books, Book Chapters and Theses
- Journal Articles and Conference Proceedings