The Harmony of the World


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.







Harmonies of Heaven and Earth


Book Description

Joscelyn Godwin explores music's effects on matter, living things, and human behavior. Turning to metaphysical accounts of the higher worlds and theories of celestial harmony, the author follows the path of musical inspiration on its descent to Earth, illuminating the archetypal currents that lie beneath Western musical history.




The Harmonies of the World


Book Description

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.




Harmonies of the World


Book Description

Harmonies of the World Johannes Kepler - Johannes Kepler published Harmonies of the World in 1619. This was the summation of his theories about celestial correspondences, and ties together the ratios of the planetary orbits, musical theory, and the Platonic solids. Kepler's speculations are long discredited. However, this work stands as a bridge between the Hermetic philosophy of the Renaissance, which sought systems of symbolic correspondences in the fabric of nature, and modern science. And today, we finally have heard the music of the spheres: data from outer system probes have been translated into acoustic form, and we can listen to strange clicks and moans from Jupiter's magnetosphere.Towards the end of Harmonies Kepler expressed a startling idea,--one which Giordiano Bruno had been persecuted for, two decades before--the plurality of inhabited worlds. He muses on the diversity of life on Earth, and how it was inconceivable that the other planets would be devoid of life, that God had "adorned[ed] the other globes too with their fitting creatures"




Epitome of Copernican Astronomy and Harmonies of the World


Book Description

The brilliant German mathematician Johannes Kepler (1571-1630), one of the founders of modern astronomy, revolutionized the Copernican heliocentric theory of the universe with his three laws of motion: that the planets move not in circular but elliptical orbits, that their speed is greatest when nearest the sun, and that the sun and planets form an integrated system. This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.




Kepler's Philosophy and the New Astronomy


Book Description

Johannes Kepler contributed importantly to every field he addressed. He changed the face of astronomy by abandoning principles that had been in place for two millennia, made important discoveries in optics and mathematics, and was an uncommonly good philosopher. Generally, however, Kepler's philosophical ideas have been dismissed as irrelevant and even detrimental to his legacy of scientific accomplishment. Here, Rhonda Martens offers the first extended study of Kepler's philosophical views and shows how those views helped him construct and justify the new astronomy. Martens notes that since Kepler became a Copernican before any empirical evidence supported Copernicus over the entrenched Ptolemaic system, his initial reasons for preferring Copernicanism were not telescope observations but rather methodological and metaphysical commitments. Further, she shows that Kepler's metaphysics supported the strikingly modern view of astronomical method that led him to discover the three laws of planetary motion and to wed physics and astronomy--a key development in the scientific revolution. By tracing the evolution of Kepler's thought in his astronomical, metaphysical, and epistemological works, Martens explores the complex interplay between changes in his philosophical views and the status of his astronomical discoveries. She shows how Kepler's philosophy paved the way for the discovery of elliptical orbits and provided a defense of physical astronomy's methodological soundness. In doing so, Martens demonstrates how an empirical discipline was inspired and profoundly shaped by philosophical assumptions.







Signature of the Celestial Spheres


Book Description

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.




Music and Science in the Age of Galileo


Book Description

Music and Science in the Age of Galileo features twelve new essays by leading specialists in the fields of musicology, history of science, astronomy, philosophy, and instrument building that explore the relations between music and the scientific culture of Galileo's time. The essays take a broad historical approach towards understanding such topics as the role of music in Galileo's experiments and in the scientific revolution, the musical formation of scientists, Galileo's impact on the art and music of his time, the scientific knowledge of instrument builders, and the scientific experiments and cultural context of Galileo's father, Vincenzo Galilei. This volume opens up new areas in both musicology and the history of science, and twists together various strands of parallel work by musicians and scientists on Galileo and his time. This book will be of interest to musicologists, historians of science and those interested in interdisciplinary perspectives of the late Renaissance -- early Baroque. For its variety of approaches, it will be a valuable collection of readings for graduate students, and those seeking a more integrated approach to historical problems. The book will be of interest to historians of science, philosophers, musicologists, astronomers, and mathematicians.