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.

This novel is a testament and tribute to the existence of the Holy Grail and its passage through time. It is a tale of historical fiction that will capture your mind and hold you till the last page. Harmony of Spheres is a devastatingly powerful book that details the forces of good and evil that has ripped apart the fabric of mankind down through the ages. The central theme of the story is a sea voyage Jesus takes as a teenager traveling from his home to the tin mines of England. The young Jesus encounters an ambiguous world of deceit, illusion, treachery and loneliness. Yet, he is also with men and women who are sympathetic, descent and courageous who help him develop as the man he would become. The last chapters of the story take place in modern rural Vermont where the Holy Grail is about to fall into Satan's possession. The reader will be mesmerized and fascinated by the mysterious shadows evil can cast over humanity. The complex ending of the scheme unfolds in its breathless final. The storyline is ingeniously plotted and compellingly displayed before the reader.

The contributors to The Harmony of the Sphere include professional historians of science, philosophers of science, and scientists, who offer different perspectives from which Kant’s and Herschel’s systems can be approached. The title, The Harmony of the Sphere, is an evocative one. In it, the reader will hear an echo of Kepler’s cosmological system. In fact, however, this title refers to the new model of the world defended by Kant and Herschel. This model dismissed the idea of a finite static cosmos, and introduced an evolutionary perspective. This volume represents a contribution to studies that integrate the history and philosophy of science. It presents, for the first time, a comparative study of Kant and Herschel in order to highlight the historical and philosophical underpinnings of their worldviews – worldviews which would in turn have a crucial influence on the development of nineteenth- and twentieth-century astronomy and cosmology.

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.

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.

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.

Justice and harmony have long been two of the world’s most treasured ideals, but much of modern moral and political philosophy puts them on opposite sides of the divide between liberal theories of the right and communitarian theories of the good. Joshua Mason argues that the encounter with their Chinese counterparts, zhengyi and hexie, can overcome this opposition, revealing a pattern that reframes justice and harmony as mutually interdependent concepts in a three-part framework of root harmony (benhe), harmonic justice (heyi), and just harmony (zhenghe). Broadly surveying the histories of western and Chinese moral and political philosophies, Justice and Harmony: Cross-Cultural Ideals in Conflict and Cooperation explores our cross-cultural conceptual inventories and develops a comparative framework that can overcome entrenched binary oppositions and reconcile these grand global values.

This book is an English re-writing of the original Hebrew edition, published by Dvir Publishing House, in 2007, and written jointly with the late Herzl Shmueli. The book probes into the nature and quality of the beauty and meaning of music. According to the authors, these have to be found within the musical phenomena themselves and serve as the basis for the aesthetical criteria of all music. They maintain that similar to every linguistic phenomena, music is a message in sound that moves, within a certain time limit, from musician to listener. The musician on the one hand, and the listener on the other, are the two focal points between which the musical process takes place. Music is thus a covenant between the musician and the listener. One sends the musical message, the other takes it up and internalizes it; one is the initiator, the other proves the successful outcome of the artistic process. The book is intended for music connoisseurs and for all who are intersted in artistic thought, in general, and in musical thoughts in particular. Every professional concept that had to be included in the book is duly explained, so that any interested reader is able to broaden the scope of his/her outlook.

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 ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? 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 ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golden? 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 ?golden? 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.