The Harmony Of The Sphere
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| Author | : Joscelyn Godwin |
| Publisher | : Simon and Schuster |
| Total Pages | : 348 |
| Release | : 1992-11-01 |
| Genre | : Music |
| ISBN | : 1620550962 |
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 | : Johannes Kepler |
| Publisher | : American Philosophical Society |
| Total Pages | : 618 |
| Release | : 1997 |
| Genre | : Science |
| ISBN | : 9780871692092 |
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 | : Jamie James |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 292 |
| Release | : 1995-06 |
| Genre | : Music |
| ISBN | : 9780387944746 |
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.
| Author | : Hartmut Warm |
| Publisher | : Rudolf Steiner Press |
| Total Pages | : 416 |
| Release | : 2010 |
| Genre | : Body, Mind & Spirit |
| ISBN | : 1855842351 |
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.
| Author | : John Louis Emil Dreyer |
| Publisher | : |
| Total Pages | : 446 |
| Release | : 1906 |
| Genre | : Astronomy |
| ISBN | : |
| Author | : Christopher Doll |
| Publisher | : University of Michigan Press |
| Total Pages | : 331 |
| Release | : 2017-05-30 |
| Genre | : Music |
| ISBN | : 0472053523 |
An original, listener-based approach to harmony for popular music from the rock era of the 1950s to the present
| Author | : Edna Kenton |
| Publisher | : Lulu.com |
| Total Pages | : 286 |
| Release | : 2018-05-02 |
| Genre | : History |
| ISBN | : 1387785990 |
THIS BOOK OF EARTHS began years ago, as a collection--maps of the Earth, the Moon, the heavens. For it occurred to me, not long ago, that it would be "fun" to put them all together, and many others with them, chosen to fill in the gaps of the original group. Luckily for the fun of it, the search about to begin would not be limited to what we know about the Earth, else it would have ended before it began; for we live in a universe of which we know little, and on a planet of which we know perhaps less. It would include not only what we know, or think to-day we know, but also anything that has been believed or felt or no more than "guessed" to be the picture of the Earth and its place in the universe.
| Author | : Arthur Koestler |
| Publisher | : Penguin UK |
| Total Pages | : 709 |
| Release | : 2017-02-23 |
| Genre | : Fiction |
| ISBN | : 0141394544 |
Arthur Koestler's extraordinary history of humanity's changing vision of the universe In this masterly synthesis, Arthur Koestler cuts through the sterile distinction between 'sciences' and 'humanities' to bring to life the whole history of cosmology from the Babylonians to Newton. He shows how the tragic split between science and religion arose and how, in particular, the modern world-view replaced the medieval world-view in the scientific revolution of the seventeenth century. He also provides vivid and judicious pen-portraits of a string of great scientists and makes clear the role that political bias and unconscious prejudice played in their creativity.
| Author | : Alexey Stakhov |
| Publisher | : World Scientific |
| Total Pages | : 745 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 9812775838 |
Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
| Author | : Pavel Gregorić |
| Publisher | : Cambridge University Press |
| Total Pages | : 259 |
| Release | : 2020-12-17 |
| Genre | : Philosophy |
| ISBN | : 1108890245 |
De mundo is a protreptic to philosophy in the form of a letter to Alexander the Great and is traditionally ascribed to Aristotle. It offers a unique view of the cosmos, God and their relationship, which was inspired by Aristotle but written by a later author. The author provides an outline of cosmology, geography and meteorology, only to argue that a full understanding of the cosmos cannot be achieved without a proper grasp of God as its ultimate cause. To ensure such a grasp, the author provides a series of twelve carefully chosen interlocking analogies, building a complex picture in the reader's mind. The work develops a distinctly Aristotelian picture of God and the cosmos while paying tribute to pre-Aristotelian philosophers and avoiding open criticism of rival schools of philosophy. De mundo exercised considerable influence in late antiquity and then in the Renaissance and Early Modern times.
