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

ISBN-13: 9780815370970 / Angielski / Miękka / 2019 / 352 str.

United Arab Emir Godfried T. (New York University Abu Dhabi

Opis

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 seemingly disparate fields.

Spis treści

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 Compás 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

O autorze

Godfried T. Toussaint is a Canadian computer scientist born in Belgium. Presently, he is a Research Professor of Computer Science at the University of New York, Abu Dhabi, United Arab Emirates, a Research Affiliate at the Massachusetts Institute of Technology in the Computer Science and Artificial Intelligence Laboratory, a Researcher in the Center for Interdisciplinary Research in Music Media and Technology (CIRMMT) in the Schulich School of Music at McGill University, and an Emeritus Professor of Computer Science at McGill. After receiving a PhD in electrical engineering from the University of British Columbia in Vancouver, Canada, he taught and did research at the School of Computer Science at McGill University, in the areas of information theory, pattern recognition, pattern analysis and design, computational geometry, instance-based learning, music information retrieval, and computational music theory. In 1978, he received the Pattern Recognition Society’s Best Paper of the Year Award and in 1985 he was awarded a Senior Killam Research Fellowship by the Canada Council. In May 2001, he was awarded the David Thomson Award for excellence in graduate supervision and teaching at McGill University. He is a founder and cofounder of several international conferences and workshops on computational geometry. He is an editor of several journals, has appeared on television programs to explain his research on the mathematical analysis of flamenco rhythms, and has published more than 360 papers. In 2009, he was awarded a Radcliffe Fellowship by the Radcliffe Institute for Advanced Study at Harvard University, for the 2009–2010 academic year, to carry out a research project on the phylogenetic analysis of the musical rhythms of the world. After spending an additional year at Harvard University, in the music department, he moved in August 2011 to New York University in Abu Dhabi.