The Harmony Of The Spheres

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.

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.

For centuries, scientists and philosophers believed the universe was a stately; ordered mechanism - mathematical and musical. The smooth operation of the cosmos created a divine harmony (perfect, spiritual, eternal) which composers sought to capture and express. With The Music of the Spheres, readers will see how this scientific philosophy emerged, how it was shattered by changing views of the universe and the rise of Romanticism, and to what extent (if at all) it survives today. From Pythagoras to Newton, Bach to Beethoven, and on into the twentieth century, it is a spellbinding examination of the interwoven fates of science and music throughout history.

Is the solar system ordered? Or is it simply the result of random and chaotic accidents? This book takes the reader on a compelling and powerful journey of discovery, revealing the celestial spheres in their astonishingly complex patterns. Movements of the planets are found to correspond accurately with simple geometric figures and musical intervals, pointing to an exciting new perspective on the ancient idea of the "harmony of the spheres." Hartmut Warm's detailed presentation incorporates the distances, velocities, and periods of conjunction of the planets, as well as the rotations of the Sun, Moon, and Venus. Numerous graphics--including color plates--illustrate the extraordinary beauty of geometrical forms that result when the movements of several planets are viewed in relation to one another. Moreover, the author describes and analyzes concepts of the "music of the spheres," with special emphasis on Kepler's revolutionary ideas. The book also discusses current scientific beliefs about the origin of the universe and the solar system, enabling the reader to understand fully how this remarkable research supplements contemporary materialistic views of the cosmos. The appendix includes his mathematical and astronomical methods of calculation, as well as a detailed discussion of their accuracy and validity based on modern astronomical algorithms.

This is the first volume to explore the reception of the Pythagorean doctrine of cosmic harmony within a variety of contexts, ranging chronologically from Plato to 18th-century England. This original collection of essays engages with contemporary debates concerning the relationship between music, philosophy, and science, and challenges the view that Renaissance discussions on cosmic harmony are either mere repetitions of ancient music theory or pre-figurations of the ‘Scientific Revolution’. Utilizing this interdisciplinary approach, Renaissance Conceptions of Cosmic Harmony offers a new perspective on the reception of an important classical theme in various cultural, sequential and geographical contexts, underlying the continuities and changes between Antiquity, the Middle Ages and the Renaissance. This project will be of particular interest within these emerging disciplines as they continue to explore the ideological significance of the various ways in which we appropriate the past.

This book explores the representation of music in early modern Spanish literature and reveals how music was understood within the framework of the Harmony of the Spheres, emanating from cosmic harmony as directed by the creator. The Harmony of Spheres was not ideologically neutral but rather tied to the earthly power structures of the Church, Crown, and nobility. Music could be "true," taking the listener closer to the divine, or "false," leading the listener astray. As such, music was increasingly seen as a potent weapon to be wielded in service of earthly centers of power, which can be observed in works such as vihuela songbooks, the colonial chronicle of the Inca Garcilaso de la Vega, and in the palace theater of Pedro Calderón de la Barca. While music could be a powerful metaphor mapping onto ideological currents of imperial Spain, this volume shows that it also became a contested site where diverse stakeholders challenged the Harmonic Spheres of Influence. Music and Power in Early Modern Spain is a useful tool for upper-level undergraduates, postgraduates, and scholars interested in musicology, music history, Spanish literature, cultural studies, and transatlantic studies in the early modern period.

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.