The Topos of Music I: Theory - Geometric Logic, Classification, Harmony, Counterpoint, Motives, Rhythm

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.

List of contents

Preface to the Second Edition.- Preface.- Part I Introduction and Orientation.- Part II Navigation on Concept Spaces.- Part III Local Theory.- Part IV Global Theory.- Part V Topologies for Rhythm and Motives.- Part VI Harmony.- Part VII Counterpoint. Part XXIV References and Index.

About the author

Linshujie Zheng is a soprano. She has a master's degree with distinction at Cardiff University. Currently she pursues a doctoral degree in voice at the University of Minnesota. Zheng has received awards and scholarships in China, the UK, and the US. She has performed at the Royal Albert Hall, Wales Millennium centre, and St David's Hall. She also sung principal roles, including Zerlina in Don Giovanni, Genovieve in Suor Angelica, Susanna in Le nozze di Figaro. Zheng not only focuses on the performing arts, she also has a passion for Gesture and reception theory.

Guerino Mazzola qualified as a professor in mathematics and in computational science at the University of Zürich. Visiting professor at the ENS in Paris in 2005. Since 2007 professor at the School of Music, University of Minnesota. He developed a Mathematical Music Theory and music software presto and Rubato. 2007-2021 he was the president of the Societyfor Mathematics and Computation in Music. He has published 33 books and 150 papers, 27 jazz CDs, two DVDs, and a classical sonata. His most important book is "The Topos of Music", about mathematical music, performance, and gesture theory.

Summary

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

Product details

• Authors: Guerino Mazzola
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319643632
• ISBN: 978-3-31-964363-2
• No. of pages: 656
• Dimensions: 216 mm x 45 mm x 283 mm
• Weight: 1948 g
• Illustrations: XLIX, 656 p. 175 illus., 162 illus. in color.
• Series: Computational Music Science; Culture, Mind, and Society; Culture, Mind, and Society; Computational Music Science
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Kunst, B, Music, Performing Arts, Mathematics, computer science, The arts, Art Education, Computer and Information Systems Applications, Application software, Creativity and Arts Education, Teaching of a specific subject, Theatre and Performance Arts, User interface design & usability, User Interfaces and Human Computer Interaction, Computer applications in the arts & humanities, User interfaces (Computer systems), Computer Appl. in Arts and Humanities, Mathematics in Music