The most celebrated book on counterpoint is Fux's great theoretical work GRADUS AD PARNASSUM. Since its appearance in 1725, it has been used by and has directly influenced the work of many of the great composers, including J.S. Bach, Haydn, and Beethoven. Originally written in Latin, this work has been translated in to the principal European languages. The present translation by Alfred Mann is the first faithful rendering in English, presenting the essence of Fux's teachings.

In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.

Features a historical survey of writings on the fugue from the Renaissance to the present as well as four 18th-century studies: works by J. J. Fux, F. W. Marpurg, and more. Includes introductions, commentary, and 255 musical examples.