Harmonies Of The World

Cover
Contents
A Note to the Reader
Introduction
Johannes Kepler (1571-1630) His Life and Work
HARMONIES OF THE WORLD BOOK FIVE
	Proem
	1. Concerning the Five Regular Solid Figures
	2. On the Kinship Between the Harmonic Ratios and the Five Regular Figures
	3. A Summary of Astronomical Doctrine Necessary for Speculation into the Celestial Harmonies
	4. In What Things Having to do with the Planetary Movements Have the Harmonic Consonances been Expressed by the Creator, and in What Way?
	5. In the Ratios of the Planetary Movements which are Apparent as it were to Spectators at the Sun, have been Expressed the Pitches of the System, or Notes of the Musical Scale, and the Modes of Song (Genera Cantus), the Major and the Minor
	6. In the Extreme Planetary Movements the Musical Modes or Tones Have Somehow Been Expressed
	7. The Universal Consonances of All Six Planets, Like Common Four-Part Counterpoint, Can Exist
	8. In the Celestial Harmonies Which Planet Sings Soprano, Which Alto, Which Tenor, and Which Bass?
	9. The Genesis of the Eccentricities in the Single Planets from the Procurement of the Consonances between their Movements
	10. Epilogue Concerning the Sun, by way of Conjecture
Acknowledgments
About Stephen Hawking