The Geometry of Musical Rhythm

The Geometry of Musical Rhythm

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The Geometry of Musical Rhythm: What Makes a qGoodq Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. For the music community, the book also introduces the distance approach to phylogenetic analysis and illustrates its application to the study of musical rhythm. Accessible to both academics and musicians, the text requires a minimal set of prerequisites. Emphasizing a visual geometric treatment of musical rhythm and its underlying structures, the authora€”an eminent computer scientist and music theory researchera€”presents new symbolic geometric approaches and often compares them to existing methods. He shows how distance geometry and phylogenetic analysis can be used in comparative musicology, ethnomusicology, and evolutionary musicology research. The book also strengthens the bridge between these disciplines and mathematical music theory. Many concepts are illustrated with examples using a group of six distinguished rhythms that feature prominently in world music, including the clave son. Exploring the mathematical properties of good rhythms, this book offers an original computational geometric approach for analyzing musical rhythm and its underlying structures. With numerous figures to complement the explanations, it is suitable for a wide audience, from musicians, composers, and electronic music programmers to music theorists and psychologists to computer scientists and mathematicians. It can also be used in an undergraduate course on music technology, music and computers, or music and mathematics.We can easily feel when a rhythm has syncopation, but translating that feeling to mathematical terms, my general goal with all musical properties explored in this book is easier said than done. ... we know what meter is, but more problematically, how do we interpret the words a€œmomentarya€ and a€œprevailing? ... Does this mean that if the shifting of the weak beat is not deliberate, there is no syncopation?

Title:The Geometry of Musical Rhythm
Author:Godfried T. Toussaint
Publisher:CRC Press - 2013-01-17


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