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.
In 1795 London, Jonathan Absey of the Home Office pursues dual investigations into French espionage in Britain and the still unsolved murder of his teenage daughter, a pursuit that leads to a bizarre society of astronomers called the Company of Titius whose quest for a long-lost star leads ever closer to his own probe. A first novel. 75,000 first printing.
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.
The roots and evolution of two concepts usually thought to be Western in origin-musica mundana (the music of the spheres) and musica humana (music's relation to the human soul)-are explored. Beginning with a study of the early creeds of the Near East, Professor Meyer-Baer then traces their development in the works of Plato and the Gnostics, and in the art and literature of the Middle Ages and the Renaissance. Previous studies of symbolism in music have tended to focus on a single aspect of the problem. In this book the concepts of musica humana and musica mundane are related to philosophy, aesthetics, and the history of religion and are given a rightful place in the history of civilization. Originally published in 1970. 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.
Leonard B. Meyers' writings on the theory, history, perception and aesthetics of music have inspired and provoked generations of readers. This volume makes available a selection of his most important essays.
A spectacular musical and scientific journey from the Bronx to the cosmic horizon that reveals the astonishing links between jazz, science, Einstein, and Coltrane More than fifty years ago, John Coltrane drew the twelve musical notes in a circle and connected them by straight lines, forming a five-pointed star. Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim — The Jazz of Physics reveals that the ancient poetic idea of the "Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.
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.
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.
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.
