Harmony in Ptolemy's Harmonics PDF Download
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Author: Jon Solomon
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 28
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Book Description
Author: Jon Solomon
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 28
Get Book Here
Book Description
Author: Jon Solomon
Publisher: BRILL
ISBN: 9004351167
Category : Literary Criticism
Languages : en
Pages : 231
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Book Description
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.
Author: Andrew Barker
Publisher: Cambridge University Press
ISBN: 9780521553728
Category : History
Languages : en
Pages : 308
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Book Description
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.
Author: Johannes Kepler
Publisher: American Philosophical Society
ISBN: 9780871692092
Category : Science
Languages : en
Pages : 618
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Book Description
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.
Author: Bruce Stephenson
Publisher:
ISBN:
Category : Harmony of the spheres
Languages : en
Pages : 724
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Book Description
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.
Author: Jacqueline Feke
Publisher: Princeton University Press
ISBN: 069121039X
Category : Mathematics
Languages : en
Pages : 250
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Book Description
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.
Author: Joscelyn Godwin
Publisher: Simon and Schuster
ISBN: 1620550962
Category : Music
Languages : en
Pages : 348
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Book Description
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.
Author: David Cochrane
Publisher:
ISBN: 9780971695221
Category :
Languages : en
Pages :
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Book Description
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.
Author: Ross W. Duffin
Publisher: W. W. Norton & Company
ISBN: 0393075648
Category : Music
Languages : en
Pages : 197
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Book Description
"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.
Author: Francesco Pelosi
Publisher: Cambridge University Press
ISBN: 110883227X
Category : Art
Languages : en
Pages : 369
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Book Description
Explores the philosophical import and use of musical notions in crucial moments and authors of the Roman Imperial period.
