Ptolemy Harmonics

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Porphyry's Commentary on Ptolemy's Harmonics

Author :
Publisher : Cambridge University Press
ISBN 13 : 1316239683
Total Pages : 592 pages
Book Rating : 4.3/5 (162 download)

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Book Synopsis Porphyry's Commentary on Ptolemy's Harmonics by :

Download or read book Porphyry's Commentary on Ptolemy's Harmonics written by and published by Cambridge University Press. This book was released on 2015-09-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scientific Method in Ptolemy's Harmonics

Author : Andrew Barker
Publisher : Cambridge University Press
ISBN 13 : 9780521553728
Total Pages : 308 pages
Book Rating : 4.5/5 (537 download)

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Book Synopsis Scientific Method in Ptolemy's Harmonics by : Andrew Barker

Download or read book Scientific Method in Ptolemy's Harmonics written by Andrew Barker and published by Cambridge University Press. This book was released on 2000 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The science called 'harmonics' was one of the major intellectual enterprises of Greek antiquity. Ptolemy's treatise seeks to invest it with new scientific rigour; its consistently sophisticated procedural self-awareness marks it as a key text in the history of science. This book is a sustained methodological exploration of Ptolemy's project. After an analysis of his explicit pronouncements on the science's aims and the methods appropriate to it, it examines Ptolemy's conduct of his investigation in detail, concluding that despite occasional uncertainties, the declared procedure is followed with remarkable fidelity. Ptolemy pursues tenaciously his novel objective of integrating closely the project's theoretical and empirical phases and shows astonishing mastery of the concept, the design and the conduct of controlled experimental tests. By opening up this neglected text to historians of science, the book aims to provide a point of departure for wider studies of Greek scientific method.

Ptolemy Harmonics

Author : Jon Solomon
Publisher : BRILL
ISBN 13 : 9004351167
Total Pages : 231 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis Ptolemy Harmonics by : Jon Solomon

Download or read book Ptolemy Harmonics written by Jon Solomon and published by BRILL. This book was released on 2018-07-17 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ptolemy's Philosophy

Author : Jacqueline Feke
Publisher : Princeton University Press
ISBN 13 : 069121039X
Total Pages : 250 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Ptolemy's Philosophy by : Jacqueline Feke

Download or read book Ptolemy's Philosophy written by Jacqueline Feke and published by Princeton University Press. This book was released on 2020-10-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme 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 Music of the Heavens

Author : Bruce Stephenson
Publisher : Princeton University Press
ISBN 13 : 1400863821
Total Pages : 273 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Music of the Heavens by : Bruce Stephenson

Download or read book The Music of the Heavens written by Bruce Stephenson and published by Princeton University Press. This book was released on 2014-07-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Monochord in Ancient Greek Harmonic Science

Author : David Creese
Publisher : Cambridge University Press
ISBN 13 : 0521843243
Total Pages : 427 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Monochord in Ancient Greek Harmonic Science by : David Creese

Download or read book The Monochord in Ancient Greek Harmonic Science written by David Creese and published by Cambridge University Press. This book was released on 2010-06-10 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).

The Harmony of the World

Author : Johannes Kepler
Publisher : American Philosophical Society
ISBN 13 : 9780871692092
Total Pages : 618 pages
Book Rating : 4.6/5 (92 download)

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Book Synopsis The Harmony of the World by : Johannes Kepler

Download or read book The Harmony of the World written by Johannes Kepler and published by American Philosophical Society. This book was released on 1997 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have presented and interpreted Johannes Kepler's Latin text to English readers by putting it into the kind of clear but earnest language they suppose Kepler would have used if he had been writing today.

The Science of Harmonics in Classical Greece

Author : Andrew Barker
Publisher : Cambridge University Press
ISBN 13 : 9780521879514
Total Pages : 494 pages
Book Rating : 4.8/5 (795 download)

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Book Synopsis The Science of Harmonics in Classical Greece by : Andrew Barker

Download or read book The Science of Harmonics in Classical Greece written by Andrew Barker and published by Cambridge University Press. This book was released on 2007-09-13 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient science of harmonics investigates the arrangements of pitched sounds which form the basis of musical melody, and the principles which govern them. It was the most important branch of Greek musical theory, studied by philosophers, mathematicians and astronomers as well as by musical specialists. This 2007 book examines its development during the period when its central ideas and rival schools of thought were established, laying the foundations for the speculations of later antiquity, the Middle Ages and the Renaissance. It concentrates particularly on the theorists' methods and purposes and the controversies that their various approaches to the subject provoked. It also seeks to locate the discipline within the broader cultural environment of the period; and it investigates, sometimes with surprising results, the ways in which the theorists' work draws on and in some cases influences that of philosophers and other intellectuals.

Marsilio Ficino, Three Books on Life: a Critical Edition and Translation

Author : Carol V. Kaske
Publisher : Medieval and Renaissance Texts and Studies
ISBN 13 : 9780866988223
Total Pages : 0 pages
Book Rating : 4.9/5 (882 download)

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Book Synopsis Marsilio Ficino, Three Books on Life: a Critical Edition and Translation by : Carol V. Kaske

Download or read book Marsilio Ficino, Three Books on Life: a Critical Edition and Translation written by Carol V. Kaske and published by Medieval and Renaissance Texts and Studies. This book was released on 2019-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmony in Ptolemy's Harmonics

Author : Jon Solomon
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Harmony in Ptolemy's Harmonics by : Jon Solomon

Download or read book Harmony in Ptolemy's Harmonics written by Jon Solomon and published by . This book was released on 1990 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Companion to Ancient Greek and Roman Music

Author : Tosca A. C. Lynch
Publisher : John Wiley & Sons
ISBN 13 : 1119275474
Total Pages : 564 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis A Companion to Ancient Greek and Roman Music by : Tosca A. C. Lynch

Download or read book A Companion to Ancient Greek and Roman Music written by Tosca A. C. Lynch and published by John Wiley & Sons. This book was released on 2020-07-08 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: A COMPANION TO ANCIENT GREEK AND ROMAN MUSIC A comprehensive guide to music in Classical Antiquity and beyond Drawing on the latest research on the topic, A Companion to Ancient Greek and Roman Music provides a detailed overview of the most important issues raised by the study of ancient Greek and Roman music. An international panel of contributors, including leading experts as well as emerging voices in the field, examine the ancient 'Art of the Muses' from a wide range of methodological, theoretical, and practical perspectives. Written in an engaging and accessible style, this book explores the pervasive presence of the performing arts in ancient Greek and Roman culture—ranging from musical mythology to music theory and education, as well as archaeology and the practicalities of performances in private and public contexts. But this Companion also explores the broader roles played by music in the Graeco-Roman world, examining philosophical, psychological, medical and political uses of music in antiquity, and aspects of its cultural heritage in Mediaeval and Modern times. This book debunks common myths about Greek and Roman music, casting light on yet unanswered questions thanks to newly discovered evidence. Each chapter includes a discussion of the tools or methodologies that are most appropriate to address different topics, as well as detailed case studies illustrating their effectiveness. This book Offers new research insights that will contribute to the future developments of the field, outlining new interdisciplinary approaches to investigate the importance of performing arts in the ancient world and its reception in modern culture Traces the history and development of ancient Greek and Roman music, including their Near Eastern roots, following a thematic approach Showcases contributions from a wide range of disciplines and international scholarly traditions Examines the political, social and cultural implications of music in antiquity, including ethnicity, regional identity, gender and ideology Presents original diagrams and transcriptions of ancient scales, rhythms, and extant scores that facilitate access to these vital aspects of ancient music for scholars as well as practicing musicians Written for a broad range of readers including classicists, musicologists, art historians, and philosophers, A Companion to Ancient Greek and Roman Music provides a rich, informative and thought-provoking picture of ancient music in Classical Antiquity and beyond.

Ptolemy's Science of the Stars in the Middle Ages

Author : Charles Burnett
Publisher :
ISBN 13 : 9782503586397
Total Pages : 510 pages
Book Rating : 4.5/5 (863 download)

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Book Synopsis Ptolemy's Science of the Stars in the Middle Ages by : Charles Burnett

Download or read book Ptolemy's Science of the Stars in the Middle Ages written by Charles Burnett and published by . This book was released on 2020-09-30 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Claudius Ptolemy (c. 100-170 AD) is one of the most influential scholars of all time. While he is also the author of treatises on geography, optics and harmonics, his fame primarily stems from two works on the science of the stars, dealing with mathematical astronomy (the Almagest) and astrology (the Tetrabiblos). The Almagest and the Tetrabiblos remained the fundamental texts on the science of the stars for some 1500 years. Both were translated several times into Arabic and Latin and were heavily commented upon, glossed, discussed, and also criticised and improved upon, in the Islamic world and in Christian Europe. Yet, the reception of Ptolemy in medieval cultures is still to a large extent a terra incognita of the history of science. The Arabic and Latin versions of the Almagest and the Tetrabiblos are for the most part unavailable in modern editions, their manuscripts remain largely unexplored and, generally speaking, their history has never been systematically investigated. This volume gathers together fifteen contributions dealing with various aspects of the reception of Ptolemy's astronomy and astrology in the Islamic world and in Christian Europe up to the seventeenth century. Contributions are by Jose Bellver, Jean-Patrice Boudet, Josep Casulleras, Bojidar Dimitrov, Dirk Grupe, Paul Hullmeine, Alexander Jones, Richard L. Kremer, Y. Tzvi Langermann, H. Darrel Rutkin, Michael H. Shank, Nathan Sidoli, Carlos Steel, Johannes Thomann and Henry Zepeda.

Music and Philosophy in the Roman Empire

Author : Francesco Pelosi
Publisher : Cambridge University Press
ISBN 13 : 1108936105
Total Pages : 369 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Music and Philosophy in the Roman Empire by : Francesco Pelosi

Download or read book Music and Philosophy in the Roman Empire written by Francesco Pelosi and published by Cambridge University Press. This book was released on 2020-12-17 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is music just matter of hearing and producing notes? And is it of interest just to musicians? By exploring different authors and philosophical trends of the Roman Empire, from Philo of Alexandria to Alexander of Aphrodisias, from the rebirth of Platonism with Plutarch to the last Neoplatonists, this book sheds light on different ways in which music and musical notions were made a crucial part of philosophical discourse. Far from being mere metaphors, notions such as harmony, concord and attunement became key philosophical tools in order to better grasp and conceptualise fundamental notions in philosophical debates from cosmology to ethics and from epistemology to theology. The volume is written by a distinguished international team of contributors.

The Crime of Claudius Ptolemy

Author : Robert R. Newton
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Crime of Claudius Ptolemy by : Robert R. Newton

Download or read book The Crime of Claudius Ptolemy written by Robert R. Newton and published by . This book was released on 1977 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Newton's view, Ptolemy was "the most successful fraud in the history of science". Newton shows that Ptolemy predominantly obtained the astronomical results described in his work The Almagest by computation, and not by the direct observations that Ptolemy described.

Ancient Perspectives

Author : Richard J. A. Talbert
Publisher : University of Chicago Press
ISBN 13 : 0226789403
Total Pages : 284 pages
Book Rating : 4.2/5 (267 download)

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Book Synopsis Ancient Perspectives by : Richard J. A. Talbert

Download or read book Ancient Perspectives written by Richard J. A. Talbert and published by University of Chicago Press. This book was released on 2014-02-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient Perspectives encompasses a vast arc of space and time—Western Asia to North Africa and Europe from the third millennium BCE to the fifth century CE—to explore mapmaking and worldviews in the ancient civilizations of Mesopotamia, Egypt, Greece, and Rome. In each society, maps served as critical economic, political, and personal tools, but there was little consistency in how and why they were made. Much like today, maps in antiquity meant very different things to different people. Ancient Perspectives presents an ambitious, fresh overview of cartography and its uses. The seven chapters range from broad-based analyses of mapping in Mesopotamia and Egypt to a close focus on Ptolemy’s ideas for drawing a world map based on the theories of his Greek predecessors at Alexandria. The remarkable accuracy of Mesopotamian city-plans is revealed, as is the creation of maps by Romans to support the proud claim that their emperor’s rule was global in its reach. By probing the instruments and techniques of both Greek and Roman surveyors, one chapter seeks to uncover how their extraordinary planning of roads, aqueducts, and tunnels was achieved. Even though none of these civilizations devised the means to measure time or distance with precision, they still conceptualized their surroundings, natural and man-made, near and far, and felt the urge to record them by inventive means that this absorbing volume reinterprets and compares.

The Manual of Harmonics of Nicomachus the Pythagorean

Author : Nicomachus (of Gerasa.)
Publisher : Red Wheel/Weiser
ISBN 13 : 9780933999435
Total Pages : 226 pages
Book Rating : 4.9/5 (994 download)

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Book Synopsis The Manual of Harmonics of Nicomachus the Pythagorean by : Nicomachus (of Gerasa.)

Download or read book The Manual of Harmonics of Nicomachus the Pythagorean written by Nicomachus (of Gerasa.) and published by Red Wheel/Weiser. This book was released on 1994-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ancient Greek thought, the musical scale discovered by the philosopher Pythagoras was seen as a utopian model of the harmonic order behind the structure of the cosmos and human existence. Through proportion and harmony, the musical scale bridges the gap between two extremes. It encapsulates the most fundamental pattern of harmonic symmetry and demonstrates how the phenomena of nature are inseparably related to one another through the principle of reciprocity. Because of these relationships embodied in its structure, the musical scale was seen as an ideal metaphor of human society by Plato and other Pythagorean thinkers, for it is based on the cosmic principles of harmony, reciprocity, and proportion, whereby each part of the whole receives its just and proper share. This book is the first ever complete translation of The Manual of Harmonics by the Pythagorean philosopher Nicomachus of Gerasa (second century A.D.) published with a comprehensive, chapter-by-chapter commentary. It is a concise and well-organized introduction to the study of harmonics, the universal principles of relation embodied in the musical scale. Also included is a remarkable chapter-by-chapter commentary by the translator, Flora Levin, which makes this work easily accessible to the reader today. Dr. Levin explains the principles of Pythagorean harmony, provides extensive background information, and helps to situate Nicomachus' thought in the history of ideas. This important work constitutes a valuable resource for all students of ancient philosophy, Western cosmology, and the history of music.

From Sight to Light

Author : A. Mark Smith
Publisher : University of Chicago Press
ISBN 13 : 022652857X
Total Pages : 470 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis From Sight to Light by : A. Mark Smith

Download or read book From Sight to Light written by A. Mark Smith and published by University of Chicago Press. This book was released on 2017-11-16 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its inception in Greek antiquity, the science of optics was aimed primarily at explaining sight and accounting for why things look as they do. By the end of the seventeenth century, however, the analytic focus of optics had shifted to light: its fundamental properties and such physical behaviors as reflection, refraction, and diffraction. This dramatic shift—which A. Mark Smith characterizes as the “Keplerian turn”—lies at the heart of this fascinating and pioneering study. Breaking from previous scholarship that sees Johannes Kepler as the culmination of a long-evolving optical tradition that traced back to Greek antiquity via the Muslim Middle Ages, Smith presents Kepler instead as marking a rupture with this tradition, arguing that his theory of retinal imaging, which was published in 1604, was instrumental in prompting the turn from sight to light. Kepler’s new theory of sight, Smith reveals, thus takes on true historical significance: by treating the eye as a mere light-focusing device rather than an image-producing instrument—as traditionally understood—Kepler’s account of retinal imaging helped spur the shift in analytic focus that eventually led to modern optics. A sweeping survey, From Sight to Light is poised to become the standard reference for historians of optics as well as those interested more broadly in the history of science, the history of art, and cultural and intellectual history.