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Ptolemy's comprehensive treatises on astronomy and geography were influential for nearly two millennia. Equally influential was his treatise on harmonics, the ancient science which combined and brought to completion the study of philosophy and science. This volume offers a comprehensive English translation and commentary of Ptolemy's Harmonics . The treatise begins with Ptolemy's study of pitches and intervals, for which he extracts both an idealized musical scale and a new acoustical tool. After discussing modulation, he expands his horizons by applying musical intervals to the human soul and celestial bodies, ultimately describing a cosmic harmony. The English translation faithfully reproduces Ptolemy's style and includes all the charts surviving in the manuscript tradition. The commentary offers a full exegesis of the text, loci paralleli, and citations of modern scholarly sources.

Greek music --- Intervalles et échelles musicales --- Music [Greek ](Ancient) --- Music [Greek and Roman ] --- Music [Roman ] --- Musical intervals and scales --- Musique grecque (Ancienne) --- Musique grecque et romaine --- Musique romaine --- Muziek [Griekse ](Oude) --- Muziek [Griekse en Romeinse ] --- Muziek [Romeinse ] --- Muzikale intervallen en toonladders --- Music, Greek and Roman --- Music theory --- Théorie musicale --- Early works to 1800 --- Ouvrages avant 1800 --- Ptolemy, --- History and criticism --- -Music theory --- Music --- Musical theory --- Theory of music --- Music, Greek (Ancient) --- Music, Roman --- Roman music --- Theory --- Ptolemy --- Théorie musicale --- Ptolemaeus, Claudius. --- History --- To 500 --- 78.63 --- 78.81 --- 78.86.1 --- 78.60.1 Ptolemy --- Music, Greek and Roman - History and criticism - Early works to 1800 --- Music theory - Early works to 1800 --- Ptolemy, - active 2nd century - Harmonics --- Music, Greek and Roman. --- Music theory. --- Harmonics (Ptolemy) --- Harmonica (Ptolemaeus, Claudius) --- Harmonielehre des Klaudios Ptolemaios (Ptolemy)