Stephenson | The Music of the Heavens | E-Book | sack.de
E-Book

E-Book, Englisch, 274 Seiten

Reihe: Princeton Legacy Library

Stephenson The Music of the Heavens

Kepler's Harmonic Astronomy
Course Book
ISBN: 978-1-4008-6382-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

Kepler's Harmonic Astronomy

E-Book, Englisch, 274 Seiten

Reihe: Princeton Legacy Library

ISBN: 978-1-4008-6382-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark



Valued today for its development of the third law of planetary motion, Harmonice mundi (1619) was intended by Kepler to expand on ancient efforts to discern a Creator's plan for the planetary system--an arrangement thought to be based on harmonic relationships. Challenging critics who characterize Kepler's theories of harmonic astronomy as "mystical," Bruce Stephenson offers the first thorough technical analysis of the music the astronomer thought the heavens made, and the logic that led him to find musical patterns in his data. In so doing, Stephenson illuminates crucial aspects of Kepler's intellectual development, particularly his ways of classifying and drawing inferences.

Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular poly-hedral. He then examines in detail an early theory that relates the planets' vel-ocities to a musical chord, and analyzes Kepler's unpublished commentary on Ptolemy's Harmonics. Devoting most of his attention to Book Five of Harmonice mundi, in which Kepler elaborated on the musical structure of the planetary system, Stephenson lays important groundwork for any further evaluation of Kepler's scientific thought.

Originally published in 1994.

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.

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Preface and Acknowledgments

Ch. I Introduction 3

Ch. II Earlier Theories of Astronomical Harmony 16

Ch. III Jofrancus Offusius: Scientific Astrology Based on Harmony 47

Ch. IV Distances to the Planets 64

Ch. V The Polyhedral Theory of the Mysterium cosmographicum 75

Ch. VI Kepler's First Harmonic Planetary Theory 90

Ch. VII The Reconstruction of Ptolemy's Harmonics 98

Ch. VIII The Harmonice mundi 118

Ch. IX Book 5 of the Harmonice mundi 128

Ch. 1 Regular Polyhedra 130

Ch. 2 Harmonic Proportions 131

Ch. 3 Astronomical Theory 135

Ch. 4 The Proper and Extreme Harmonies 145

Ch. 5 The Music of the Planetary Motions 154

Ch. 6 Heavenly Modes 165

Ch. 7 Universal Harmonies 170

Ch. 8 The Four Voices of Celestial Harmony 184

Ch. 9 The Causes of the Eccentricities 185

Ch. 10 Inhabitants of the Sun 236

Ch. X Conclusions 242

Bibliography 253

Index 257



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