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This engaging book, a softcover reprint of the original 2nd edition from 2017, spans an impressive 408 pages, offering a deep dive into the author's groundbreaking theory of musical performance. Mazzola employs the language of differential geometry to introduce performance vector fields, which serve to generalize concepts of tempo and intonation. This work is essential for musicians, musicologists, and anyone interested in the intricate relationship between mathematics and music. 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