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.
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Alexanderson Almagest ametabolic Ancient Greek Music Archytas Aristides Quintilianus Aristox Aristoxenian Aristoxenus astronomy Barbera Boethius bridges Burkert canon chapter chromatic soft diatonic consonances demonstration diapason plus diatessaron diapente diatessaron diatonic ditonic intense diatonic tonic diatonic Didymus differences discusses disjunction distance ditonic intense diatonic Dorian double diapason duple ratio During's emmelic enharmonic equal Eratosthenes genera genus greater half tone Harmonics higher Hoeg homophones hypate Hypodorian Hypolydian Hypophrygian intense chromatic soft intense diatonic 60 intervals ISBN 90 leimma lichanos Lydian manuscript Mathiesen mese meson Mixolydian modulation monochord Music Theory Musik nete nete hyperbolaion Nicomachus notes Palisca paramese paranete perception Perfect System Phrygian pitch Porph proslambanomenos Ptolemaios und Porphyrios Ptolemy Ptolemy's pyknon Pythagorean Pythagorean Mathematics refers scholiast scholion sesquialter sesquioctave sesquitertian smaller soft diatonic tonic soul sounds species strings superparticular ratios tension term tetrachord tetrachordal divisions tonic diatonic ditonic tonic diatonic tonic tonos translation treatise trite tuned Wallis whole tone Winnington-Ingram