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.

Practical work in writing counterpoint! Gauldin emphasizes the acquisition of writing skills in the contrapuntal discipline and the simulation of sixteenth-century sacred polyphonic idioms in this volume. The author follows a didactic method of a non-species or direct approach. While no previous contrapuntal training is necessary to absorb this material, some acquaintance with Baroque polyphonic terminology proves helpful. Key features include: musical examples illustrating specific devices are taken from musical literature or composed by the author; demonstrates the possibility of employing a single given pitch series within the contexts of different compositional techniques; includes a collection of complete or excerpted movements drawn from musical literature at the conclusion of each major textual division; emphasizes Palestrina and the Counter-Reformation sacred style; discusses various compositional procedures of the late Renaissance, including paraphrase, cantus firmus, familiar style, parody, polychoral technique, and chromaticism.

-- Stanley Persky, City University of New York