Planetary Astronomy from the Renaissance to the Rise of Astrophysics Part A Tycho Brahe to NewtonPlanetary Astronomy from the Renaissance to the Rise of Astrophysics Part A Tycho Brahe to Newton

The ratios of the extremes of the velocities of the planets corresponded to the harmonies of the just intonation . Of course , the planets would not necessarily all be at their perihelia or aphelia at the same time .

Author: R. Taton

Publisher: Cambridge University Press

ISBN: 0521542057


Page: 300

View: 161

The International Astronomical Union and the International Union for the History and Philosophy of Science have sponsored a major work on the history of astronomy, which the Press publishs are in four volumes, three of which will be divided into two parts. Publication commenced with volume 4, part A. The history of astronomy has never been tackled on this scale and depth and this major synthesis breaks wholly new ground. The individual chapters of each volume have been prepared by leading experts in every field of the history of astronomy.

Quantifying MusicQuantifying Music

But the reverse is true as well: Kepler's primary motivation for seeking the laws of planetary motion had been his attempt to find the harmonies represented in these motions. The lack of a match between his first attempt – viz. to ...

Author: H.F. Cohen

Publisher: Springer Science & Business Media

ISBN: 9789401576864


Page: 308

View: 946

The soul rejoices in perceiving harmonious sound; when the sound is not harmonious it is grieved. From these affects of the soul are derived the name of consonances for the harmonic proportions, and the name of dissonances for the unharmonic proportions. When to this is added the other harmonie proportion whieh consists of the longer or shorter duration of musical sound, then the soul stirs the body to jumping dance, the tongue to inspired speech, according to the same laws. The artisans accommodate to these harmonies the blows of their hammers, the soldiers their pace. As long as the harmonies endure, everything is alive; everything stiffens, when they are disturbed.! Thus the German astronomer, Johannes Kepler, evokes the power of music. Where does this power come from? What properties of music enable it to stir up emotions which may go far beyond just feeling generally pleased, and which may express themselves, for instance, in weeping; in laughing; in trembling over the whole body; in a marked acceleration of breathing and heartbeat; in participating in the rhythm with the head, the hands, the arms, and the feet? From the beginning of musical theory the answer to this question has been sought in two different directions.

The Mathematics of HarmonyThe Mathematics of Harmony

How is it that the planetary distances from the Sun change? Kepler tried to grasp a new principle for the solution to this challenge. He used his philosophical views going back to Pythagoras and Plato. According to Kepler's deep belief, ...

Author: Alekse? Petrovich Stakhov

Publisher: World Scientific

ISBN: 9789812775825


Page: 694

View: 937

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.

Planetary HarmoniesPlanetary Harmonies

Uses meditation practices which go back to the Essenes, as well as from the author's own intuition and White Eagle's teaching to help us to remain absolutely in tune with the moment - with where the sun, the zodiac and the moon all are at ...

Author: Joan Hodgson


ISBN: 0854870814


Page: 151

View: 304

Uses meditation practices which go back to the Essenes, as well as from the author's own intuition and White Eagle's teaching to help us to remain absolutely in tune with the moment - with where the sun, the zodiac and the moon all are at any given moment in time.

Proceedings of the American Philosophical Society Held at Philadelphia for Promoting Useful KnowledgeProceedings of the American Philosophical Society Held at Philadelphia for Promoting Useful Knowledge

The spectral harmonies in Comet Wells ( Notes 295 , 302 ) , as well as the planetary harmonies on which I based some of my successful predictions , ( Notes 33 , 133 , 261 , etc. ) , are of the nature of fugues , or harmonies which ...

Author: American Philosophical Society


ISBN: PRNC:32101076463742



View: 187


By the time it appeared in print, he had begun to focus his attention on harmonies that might involve planetary velocities as seen from the Sun. In much the same vein as his earlier account of the Earth's perception of planetary aspects ...

Author: John North

Publisher: University of Chicago Press

ISBN: 9780226594415


Page: 876

View: 556

The definitive history of humanity's search to find its place within the universe. North charts the history of astronomy and cosmology from the Paleolithic period to the present day.

Gnosis and Hermeticism from Antiquity to Modern TimesGnosis and Hermeticism from Antiquity to Modern Times

not circular but elliptical, Kepler found a way to justify this seeming imperfection in the divine order by reading musical harmonies into the planetary motions. The discovery of the cosmic harmony was for Kepler the culmination of his ...

Author: R. van den Broek

Publisher: SUNY Press

ISBN: 9780791497661


Page: 402

View: 670

This volume introduces what has sometimes been called "the third component of western culture". It traces the historical development of those religious traditions which have rejected a world view based on the primacy of pure rationality or doctrinal faith, emphasizing instead the importance of inner enlightenment or gnosis: a revelatory experience which was typically believed to entail an encounter with one's true self as well as with the ground of being, God. The contributors to this book demonstrate this perspective as fundamental to a variety of interconnected traditions. In Antiquity, one finds the gnostics and hermetics; in the Middle Ages several Christian sects. The medieval Cathars can, to a certain extent, be considered part of the same tradition. Starting with the Italian humanist Renaissance, hermetic philosophy became of central importance to a new religious synthesis that can be referred to as Western Esotericism. The development of this tradition is described from Renaissance hermeticists and practitioners of spiritual alchemy to the emergence of Rosicrucianism and Christian theosophy in the seventeenth century, and from post-enlightenment aspects of Romanticism and occultism to the present-day New Age movement.

The Complex Itinerary of Leibniz s Planetary TheoryThe Complex Itinerary of Leibniz s Planetary Theory

There is a word which connotes both Kepler's and Leibniz's thought. This word is harmony. In Leibniz the concept of harmony is used at least in three different, but connected, meanings: (a) circulatio harmonica in planetary theory; ...

Author: Paolo Bussotti

Publisher: Birkhäuser

ISBN: 9783319212364


Page: 188

View: 932

This book presents new insights into Leibniz’s research on planetary theory and his system of pre-established harmony. Although some aspects of this theory have been explored in the literature, others are less well known. In particular, the book offers new contributions on the connection between the planetary theory and the theory of gravitation. It also provides an in-depth discussion of Kepler’s influence on Leibniz’s planetary theory and more generally, on Leibniz’s concept of pre-established harmony. Three initial chapters presenting the mathematical and physical details of Leibniz’s works provide a frame of reference. The book then goes on to discuss research on Leibniz’s conception of gravity and the connection between Leibniz and Kepler.

The Harmonic Origins of the WorldThe Harmonic Origins of the World

The harmony of the World Soul is only a necessary conceptualization of the extremely dynamic and psychological reality ... Once the planetary harmonies are correlated with the texts, it seems obvious that harmonists belonged to a ...

Author: Richard Heath

Publisher: Simon and Schuster

ISBN: 9781620556139


Page: 272

View: 422

A profound exploration of the simple numerical ratios that underlie our solar system, its musical harmony, and our earliest religious beliefs • Reveals how the orbits of Jupiter, Saturn, and Uranus relate to the Moon and the inner planets as an octave with musical scales • Explores how this harmonic planetary knowledge was encoded within ancient monuments and temples then spread within oral traditions • Explains how the solar system functions as a musical instrument and how this led to the rise of intelligent life, civilization, and culture on our planet As modern humans first walked the Earth roughly 70,000 years ago, the Moon’s orbit came into harmonic resonance with the outer planets of Jupiter, Saturn, and Uranus. The common denominators underlying these harmonic relationships are the earliest prime numbers of the Fibonacci series--two, three, and five--the same numbers that interact to give us the harmonic relationships of music. Exploring the simple mathematical relationships that underlie the cycles of the solar system and the music of Earth, Richard Heath reveals how Neolithic astronomers discovered these ratios using megalithic monuments like Stonehenge and the Carnac stones, discoveries that informed later myths and stories including the Epic of Gilgamesh, the Resurrection of Osiris, the Rg Veda, the Hebrew Bible, Homer’s epic tales, and the Return of Quetzalcoatl. He explains how this harmonic planetary knowledge formed the basis of the earliest religious systems, in which planets were seen as gods, and shows how they spread through Sumer, Egypt, and India into Babylon, Judea, Mexico, and archaic Greece. He exposes how the secret knowledge encoded within the Bible’s god YHWH was lost as Greek logic and reason steadily weakened mythological beliefs. Revealing the mysteries of the octave and of our musical scales, Heath shows how the orbits of the outer and inner planets gave a structure to time, which our Moon’s orbit could then turn into a harmonic matrix. He explains how planetary time came to function as a finely tuned musical instrument, leading to the rise of intelligent life on our planet. He demonstrates how this harmonic science of numbers can be read in the secret symbolism and sacred geometry of ancient cities such as Teotihuacan and in temples such as the Parthenon, connecting the higher worlds of planetary time and harmonics with the spiritual and physical life on Earth. Recasting our understanding of the solar system, Heath seeks to reawaken humanity’s understanding of how sacred numbers structure reality, offering an opportunity to recover this lost harmonic doctrine and reclaim our intended role in the outer life of our planet.