Geometry and Topology in Music
Language: English
Published by CRC Press, 2024
- Hardcover
- New
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- Title
- Geometry and Topology in Music
- Publisher
- CRC Press
- Publication year
- 2024
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1032845155
- ISBN 13
- 9781032845159
This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification. Contributions address topics of voice leading, Tonnetze (maps of notes and chords), and automatic music classification.
Focusing on some geometrical and topological aspects of the representation and formalisation of musical structures and processes, the book covers topological features of voice-leading geometries in the most recent advances in this mathematical approach to representing how chords are connected through the motion of voices, leading to analytically useful simplified models of high-dimensional spaces; It generalizes the idea of a Tonnetz, a geometrical map of tones or chords, and shows how topological aspects of these maps can correspond to many concepts from music theory. The resulting framework embeds the chord maps of neo-Riemannian theory in continuous spaces that relate chords of different sizes and includes extensions of this approach to rhythm theory. It further introduces an application of topology to automatic music classification, drawing upon both static topological representations and time-series evolution, showing how static and dynamic features of music interact as features of musical style.
This volume will be a key resource for academics, researchers, and advanced students of music, music analyses, music composition, mathematical music theory, computational musicology, and music informatics. It was originally published as a special issue of the Journal of Mathematics and Music.
"Synopsis" may belong to another edition of this title.
About the Author
Moreno Andreatta, Director of Research at CNRS/IRMA and Associate Researcher at IRCAM
Emmanuel Amiot, Associate Researcher at UPDV
Jason Yust, Associate Professor at the Boston University School of Music.
"About the title" may belong to another edition of this title.
Majestic Books
Hounslow, United Kingdom
AbeBooks seller since January 19, 2007
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