Overview
- Describes a universal conceptual approach to the computational science of music
- Comprises detailed models of harmony, rhythm, motives, and counterpoint, together with classic examples from the compositions of Beethoven and Schumann
- Presents an indispensable basis for computer implementation of musical creativity and analysis of harmonic, motivic, contrapuntal, and rhythmical structures
- Offers a unique source to learn about classification theorems and lists of local and global musical structures
Part of the book series: Computational Music Science (CMS)
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Table of contents (31 chapters)
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Front Matter
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Introduction and Orientation
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Front Matter
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Navigation on Concept Spaces
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Front Matter
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Local Theory
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Front Matter
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Global Theory
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Front Matter
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Keywords
About this book
This is the first volume of the second edition of the now classic book “The Topos of Music”. 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.
Authors and Affiliations
Bibliographic Information
Book Title: The Topos of Music I: Theory
Book Subtitle: Geometric Logic, Classification, Harmony, Counterpoint, Motives, Rhythm
Authors: Guerino Mazzola
Series Title: Computational Music Science
DOI: https://doi.org/10.1007/978-3-319-64364-9
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-64363-2Published: 11 April 2018
Softcover ISBN: 978-3-030-09717-2Published: 11 December 2018
eBook ISBN: 978-3-319-64364-9Published: 28 March 2018
Series ISSN: 1868-0305
Series E-ISSN: 1868-0313
Edition Number: 2
Number of Pages: XLIX, 656
Number of Illustrations: 13 b/w illustrations, 162 illustrations in colour
Topics: Mathematics in Music, User Interfaces and Human Computer Interaction, Music, Computer Appl. in Arts and Humanities, Performing Arts, Creativity and Arts Education