1st Edition
Geometry and Topology in Music
130 Pages
by
CRC Press
130 Pages
by
CRC Press
Also available as eBook on:
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... Read more
Introduction
Moreno Andreatta, Emmanuel Amiot, Jason Yust
1. Why Topology?
Dmitri Tymoczko
2. Generalized Tonnetze and Zeitnetze, and the Topology of Music Concepts
Jason Yust
3. Homological Persistence in Time Series: An Application to Music Classification
Mattia G. Bergomi and Adriano Baraté
Biography
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.
