Harmony in Ptolemy's Harmonics

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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:

Ptolemy Harmonics

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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.

Scientific Method in Ptolemy's Harmonics

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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.

The Harmony of the World

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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 Music of the Heavens

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Publisher :
ISBN 13 :
Total Pages : 724 pages
Book Rating : 4.:/5 (42 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 . This book was released on 1994 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 polyhedral.

Ptolemy's Philosophy

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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 Harmony of the Spheres

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Publisher : Simon and Schuster
ISBN 13 : 1620550962
Total Pages : 348 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis The Harmony of the Spheres by : Joscelyn Godwin

Download or read book The Harmony of the Spheres written by Joscelyn Godwin and published by Simon and Schuster. This book was released on 1992-11-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor of Music at Colgate University and a widely respected musicologist, Godwin traces the history of the idea, held since ancient times, that the whole cosmos, with its circling planets and stars, is in some way a musical or harmonious entity. The author shows how this concept has continued to inspire philosophers, astronomers, and mystics from antiquity to the present day.

Vibrational Astrology

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Publisher :
ISBN 13 : 9780971695221
Total Pages : pages
Book Rating : 4.6/5 (952 download)

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Book Synopsis Vibrational Astrology by : David Cochrane

Download or read book Vibrational Astrology written by David Cochrane and published by . This book was released on 2021-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Vibrational Astrology. The fundamental concepts of Vibrational Astrology have some overlap with the concepts in other systems of astrology, but also differ significantly from what students of astrology and professional astrologers may have learned in other astrological systems. Some of the topics covered in this book are: the way in which planets provide essential simple functions and what the function of each planet is, the effect of different astrological vibrations (harmonic aspects), the impact of planetary configurations such as Isotraps, the effect of zodiac signs, and the effect of astrological houses. This book provides a thorough grounding in the fundamentals of Vibrational Astrology. A careful reading of this provides the essential language and ideas that are used throughout all of the applications of Vibrational Astrology.

Music and Philosophy in the Roman Empire

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Publisher : Cambridge University Press
ISBN 13 : 110883227X
Total Pages : 369 pages
Book Rating : 4.1/5 (88 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: Explores the philosophical import and use of musical notions in crucial moments and authors of the Roman Imperial period.

The Harmonies of the World

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Author :
Publisher : Legare Street Press
ISBN 13 : 9781015402027
Total Pages : 0 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Harmonies of the World by : Johannes Kepler

Download or read book The Harmonies of the World written by Johannes Kepler and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Music of the Heavens

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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 Cosmic Octave

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Publisher :
ISBN 13 : 9780940795204
Total Pages : 0 pages
Book Rating : 4.7/5 (952 download)

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Book Synopsis The Cosmic Octave by : Cousto

Download or read book The Cosmic Octave written by Cousto and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extraordinary book shows how specific musical tones and intervals are related to color, periods of time, the sun, the planets and all the natural cycles and rhythms we find in the universe around us. Cousto reveals how music is truly the language of the cosmos and of the natural world.

A Companion to Ancient Greek and Roman Music

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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.

The Music of Pythagoras

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Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802779638
Total Pages : 384 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis The Music of Pythagoras by : Kitty Ferguson

Download or read book The Music of Pythagoras written by Kitty Ferguson and published by Bloomsbury Publishing USA. This book was released on 2011-01-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.

The Pursuit of Harmony

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Publisher : University of Chicago Press
ISBN 13 : 022649702X
Total Pages : 364 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis The Pursuit of Harmony by : Aviva Rothman

Download or read book The Pursuit of Harmony written by Aviva Rothman and published by University of Chicago Press. This book was released on 2017-11-03 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: A committed Lutheran excommunicated from his own church, a friend to Catholics and Calvinists alike, a layman who called himself a “priest of God,” a Copernican in a world where Ptolemy still reigned, a man who argued at the same time for the superiority of one truth and the need for many truths to coexist—German astronomer Johannes Kepler was, to say the least, a complicated figure. With The Pursuit of Harmony, Aviva Rothman offers a new view of him and his achievements, one that presents them as a story of Kepler’s attempts to bring different, even opposing ideas and circumstances into harmony. Harmony, Rothman shows, was both the intellectual bedrock for and the primary goal of Kepler’s disparate endeavors. But it was also an elusive goal amid the deteriorating conditions of his world, as the political order crumbled and religious war raged. In the face of that devastation, Kepler’s hopes for his theories changed: whereas he had originally looked for a unifying approach to truth, he began instead to emphasize harmony as the peaceful coexistence of different views, one that could be fueled by the fundamentally nonpartisan discipline of mathematics.

Music as Medicine

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Publisher : Routledge
ISBN 13 : 1351557475
Total Pages : 414 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Music as Medicine by : Peregrine Horden

Download or read book Music as Medicine written by Peregrine Horden and published by Routledge. This book was released on 2017-07-05 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Music, whether performed or heard, has been seen as therapeutic in the history of many cultures. How have its therapeutic properties been conceptualized and explained? Which cultures have used music therapy? What were their aims and techniques, and how much continuity is there between ancient, medieval and modern practice? These are the questions addressed by the essays in this volume. They focus on the place of music therapy in European intellectual, medical and musical traditions, from their classical roots to the development of the music therapy profession since the Second World War. Chapters covering the Judaic, Islamic, Indian and South-East Asian traditions add global, comparative perspectives. Music as Medicine is the first book to establish the whole shape of the history of music therapy in a systematic and scholarly way. It addresses the problem of defining what music therapy has meant in different cultures and periods, and sets the agenda for future research in the subject. It will appeal to a diverse readership of historians, musicologists, anthropologists, and practitioners.

How Equal Temperament Ruined Harmony (and Why You Should Care)

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Author :
Publisher : W. W. Norton & Company
ISBN 13 : 0393075648
Total Pages : 197 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis How Equal Temperament Ruined Harmony (and Why You Should Care) by : Ross W. Duffin

Download or read book How Equal Temperament Ruined Harmony (and Why You Should Care) written by Ross W. Duffin and published by W. W. Norton & Company. This book was released on 2008-10-17 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A fascinating and genuinely accessible guide....Educating, enjoyable, and delightfully unscary."—Classical Music What if Bach and Mozart heard richer, more dramatic chords than we hear in music today? What sonorities and moods have we lost in playing music in "equal temperament"—the equal division of the octave into twelve notes that has become our standard tuning method? Thanks to How Equal Temperament Ruined Harmony, "we may soon be able to hear for ourselves what Beethoven really meant when he called B minor 'black'" (Wall Street Journal).In this "comprehensive plea for more variety in tuning methods" (Kirkus Reviews), Ross W. Duffin presents "a serious and well-argued case" (Goldberg Magazine) that "should make any contemporary musician think differently about tuning" (Saturday Guardian). Some images in the ebook are not displayed owing to permissions issues.