The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good?
Godfried T. Toussaint · 2013
What Is Rhythm? A Steady Beat Timelines, Ostinatos, and Meter The Wooden Claves The Iron Bells The Clave Son Six Distinguished Rhythm Timelines The Distance Geometry of Rhythm Classification of Rhythms Binary and Ternary Rhythms The Isomorphism of Rhythm and Scale Binarization, Ternarization, and Quantization of Rhythms Syncopated Rhythms Keith's Measure of Syncopation Necklaces and Bracelets Rhythmic Oddity Off-Beat Rhythms Rhythm Complexity Objective, Cognitive, and Performance Complexities Lempel-Ziv Complexity Cognitive Complexity of Rhythms Irregularity and the Normalized Pairwise Variability Index Dispersion Problems and Maximally Even Rhythms Euclidean Rhythms Leap Years: The Rhythm of the Stars Approximately Even Rhythms Rhythms and Crystallography Complementary Rhythms Radio Astronomy and Flat Rhythms Deep Rhythms Shelling Rhythms Phantom Rhythms Reflection Rhythms and Rhythmic Canons Toggle Rhythms Symmetric Rhythms Hourglass Drums and Hourglass Rhythms Odd Rhythms Other Representations of Rhythm Alternating-Hands Box Notation Spectral Notation TEDAS and Chronotonic Notation Rhythmic Similarity and Dissimilarity Regular and Irregular Rhythms Evolution and Phylogenesis of Musical Rhythm Guajira Rhythmic Combinatorics What Makes the Clave Son Such a Good Rhythm? Maximal Evenness Rhythmic Oddity Off-Beatness Weighted Off-Beatness Metrical Complexity Main-Beat Onsets and Closure Distinct Durations Distinct Adjacent Durations Onset-Complexity and Distinct Distances Deep Rhythms, Deepness, and Shallowness Tallness Phylogenetic Tree Centrality Mirror Symmetry Shadow Contour Isomorphism The Origin, Evolution, and Migration of the Clave Son Epilogue References Index