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Ptolemy Harmonics
Language: en
Pages:
Authors: Jon Solomon
Categories: Literary Criticism
Type: BOOK - Published: 1999-11-12 - Publisher: BRILL

This translation of Ptolemy's influential treatise on musical and cosmic harmony faithfully reproduces Ptolemy's style and includes all the charts from the manuscript tradition. The commentary offers full exegesis of the text, loci paralleli, and citations of modern scholarly sources.
Scientific Method in Ptolemy's Harmonics
Language: en
Pages: 281
Authors: Andrew Barker
Categories: History
Type: BOOK - Published: 2000 - Publisher: Cambridge University Press

This book examines the scientific procedures devised by Ptolemy for investigating the structures underlying musical melody.
Porphyry's Commentary on Ptolemy's Harmonics
Language: en
Pages:
Authors: Andrew Barker
Categories: Philosophy
Type: BOOK - Published: 2015-09-15 - Publisher: Cambridge University Press

Porphyry's Commentary, the only surviving ancient commentary on a technical text, is not merely a study of Ptolemy's Harmonics. It includes virtually free-standing philosophical essays on epistemology, metaphysics, scientific methodology, aspects of the Aristotelian categories and the relations between Aristotle's views and Plato's, and a host of briefer comments on other matters of wide philosophical interest. For musicologists it is widely recognised as a treasury of quotations from earlier treatises, many of them otherwise unknown; but Porphyry's own reflections on musical concepts (for instance notes, intervals and their relation to ratios, quantitative and qualitative conceptions of pitch, the continuous and discontinuous forms of vocal movement, and so on) and his snapshots of contemporary music-making have been undeservedly neglected. This volume presents the first English translation and a revised Greek text of the Commentary, with an introduction and notes designed to assist readers in engaging with this important and intricate work.
Harmony in Ptolemy's Harmonics
Language: en
Pages: 19
Authors: Jon Solomon
Categories: Harmony
Type: BOOK - Published: 1990 - Publisher:

Books about Harmony in Ptolemy's Harmonics
Ptolemy's Philosophy
Language: en
Pages: 256
Authors: Jacqueline Feke
Categories: Mathematics
Type: BOOK - Published: 2020-09-08 - Publisher: Princeton University Press

The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
The Monochord in Ancient Greek Harmonic Science
Language: en
Pages: 409
Authors: David Creese
Categories: History
Type: BOOK - Published: 2010-06-10 - Publisher: Cambridge University Press

Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).
A Companion to Byzantine Science
Language: en
Pages: 676
Authors: David Creese
Categories: History
Type: BOOK - Published: 2020-01-13 - Publisher: BRILL

This is the first book entirely devoted to Byzantine science, with essays by distinguished scholars offering the most comprehensive and up-to-date history of the field currently available, and aiming to position the field in broader scholarly conversations.
Studies in the History of the Exact Sciences in Honour of David Pingree
Language: en
Pages: 908
Authors: Jan P. Hogendijk, Kim Plofker, Michio Yano, Charles Burnett
Categories: Religion
Type: BOOK - Published: 2004-02-01 - Publisher: BRILL

This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Greek Reflections on the Nature of Music
Language: en
Pages: 340
Authors: Flora R. Levin
Categories: History
Type: BOOK - Published: 2009-04-27 - Publisher: Cambridge University Press

In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.
The Music of the Heavens
Language: en
Pages: 274
Authors: Bruce Stephenson
Categories: Science
Type: BOOK - Published: 2014-07-14 - Publisher: Princeton University Press

Valued today for its development of the third law of planetary motion, Harmonice mundi (1619) was intended by Kepler to expand on ancient efforts to discern a Creator's plan for the planetary system--an arrangement thought to be based on harmonic relationships. Challenging critics who characterize Kepler's theories of harmonic astronomy as "mystical," Bruce Stephenson offers the first thorough technical analysis of the music the astronomer thought the heavens made, and the logic that led him to find musical patterns in his data. In so doing, Stephenson illuminates crucial aspects of Kepler's intellectual development, particularly his ways of classifying and drawing inferences. Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular poly-hedral. He then examines in detail an early theory that relates the planets' vel-ocities to a musical chord, and analyzes Kepler's unpublished commentary on Ptolemy's Harmonics. Devoting most of his attention to Book Five of Harmonice mundi, in which Kepler elaborated on the musical structure of the planetary system, Stephenson lays important groundwork for any further evaluation of Kepler's scientific thought. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Music and Philosophy in the Roman Empire
Language: en
Pages: 376
Authors: Francesco Pelosi, Federico M. Petrucci
Categories: Art
Type: BOOK - Published: 2020-12-17 - Publisher: Cambridge University Press

Explores the philosophical import and use of musical notions in crucial moments and authors of the Roman Imperial period.
Galen, De diebus decretoriis, from Greek into Arabic
Language: en
Pages: 640
Authors: Glen M. Cooper
Categories: History
Type: BOOK - Published: 2017-03-02 - Publisher: Routledge

This volume presents the first edition of the Arabic translation, by Hunayn ibn Ishaq, of Galen's Critical Days (De diebus decretoriis), together with the first translation of the text into a modern language. The substantial introduction contextualizes the treatise within the Greek and Arabic traditions. Galen's Critical Days was a founding text of astrological medicine. In febrile illnesses, the critical days are the days on which an especially severe pattern of symptoms, a crisis, was likely to occur. The crisis was thought to expel the disease-producing substances from the body. If its precise timing were known, the physician could prepare the patient so that the crisis would be most beneficial. After identifying the critical days based on empirical data and showing how to use them in therapy, Galen explains the critical days via the moon's influence. In the historical introduction Glen Cooper discusses the translation of the Critical Days in Arabic, and adumbrates its possible significance in the intellectual debates and political rivalries among the 9th-century Baghdad elite. It is argued that Galen originally composed the Critical Days both to confound the Skeptics of his own day and to refute a purely mathematical, rationalist approach to science. These features made the text useful in the rivalries between Baghdad scholars. Al-Kindi (d.c. 866) famously propounded a mathematical approach to science akin to the latter. The scholar-bureaucrat responsible for funding this translation, Muhammad ibn Musa (d. 873), al-Kindi's nemesis, may have found the treatise useful in refuting that approach. The commentary and notes to the facing page translation address issues of translation, as well as important concepts.