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The Topos of Music 2018 Edition
Contributor(s): Mazzola, Guerino (Author)
ISBN: 3319644335     ISBN-13: 9783319644332
Publisher: Springer
OUR PRICE:   $322.05  
Product Type: Hardcover
Published: April 2018
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Applied
- Mathematics | Geometry - Algebraic
- Music | Instruction & Study - Theory
Dewey: 781.1
Series: Computational Music Science
Physical Information: 1580 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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.