PTOLEMY HARMONICS PDF

He lived in the city of Alexandria in the Roman province of Egypt under the rule of the Roman Empire , [3] had a Latin name which several historians have taken to imply he was also a Roman citizen , [4] cited Greek philosophers, and used Babylonian observations and Babylonian lunar theory. This attestation is quite late, however, and there is no other evidence to confirm or contradict it. Ptolemy wrote several scientific treatises, three of which were of importance to later Byzantine , Islamic and Western European science. The second is the Geography , which is a thorough discussion of the geographic knowledge of the Greco-Roman world. The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. It occurs once in Greek mythology , and is of Homeric form.

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Login via Institution. Author: Jon Solomon. 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. E-Book PDF. Prices from excl. VAT :. View PDF Flyer. Contents About. Pages: i—xxxvii. Pages: 1— Pages: 59— Pages: — Pages: By: J. Bremer , L. Janssen , H. Pinkster , H. Pleket , C. Ruijgh and P. Biographical Note Jon Solomon , Ph. He has published extensively on ancient Greek music and its influence in the Renaissance and modern eras.

Institutes, academic libraries, public libraries, specialists, students, musicologists, classicists, philosophers, astronomers, historians of science. Mnemosyne Supplements Online, Volumes Terms and Conditions Privacy Statement Accessibility.

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Notable Features of the Ptolemaic System

Claudius Ptolemy' s Harmonics was one of the most sophisticated works of music theory to survive from the Hellenistic world. In it, Ptolemy related musical harmonies to the properties of mathematical proportions derived from the production of sounds themselves. Those harmonies he considered to be distributed in all aspects of the physical universe. In particular, they were there in the phenomena of the planets and the human soul. Ptolemy argued that harmony was a kind of principle of activity, or form, reliant on the two highest senses, sight and hearing. Sight and hearing themselves generated two kinds of knowledge.

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Ptolemy Harmonics

Login via Institution. Author: Jon Solomon. 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.

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