The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good?, Second Edition

Contents

• 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