Overview
- This four-volume set constitutes the second edition of the now classic book “The Topos of Music”
- Volume I: Describes a universal conceptual approach to the computational science of music
- Volume II: Focuses on the theory of expressive performance and its software implementation using Rubato
- Volume III: The new element of the Topos book brings together progress in diverse fields
- Volume IV: Features a comprehensive list of references and full-book index and explains background topics in sound and mathematics
Part of the book series: Computational Music Science (CMS)
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Keywords
- mathematical music theory
- topos theory
- music and composition software
- concept architectures
- classification of musical objects and processes
- harmony
- counterpoint
- motivic topologies
- performance theory
- Rubato
- Presto
- OpenMusic
- BigBang
- embodiment
- force fields
- gesture
- homology
- multiverse
- Stokes’ theorem
- String Theory
About this book
This four-volume set is the second edition of the now classic book “The Topos of Music”. In Vol. I the author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives. In Vol. II the author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. Volume III presents gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures. Finally, Vol. IV contains appendices, explaining background topics in sound, mathematics, and music.
Authors and Affiliations
Bibliographic Information
Book Title: The Topos of Music
Authors: Guerino Mazzola
Series Title: Computational Music Science
Publisher: Springer Cham
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Series ISSN: 1868-0305
Series E-ISSN: 1868-0313
Edition Number: 2
Number of Pages: XL, 1580