Geometry and Topology in Music

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.

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.

Introduction 1. Why Topology? 2. Generalized Tonnetze and Zeitnetze, and the Topology of Music Concepts 3. Homological Persistence in Time Series: An Application to Music Classification