Music theory
Solar system.
Geometry
On the shoulders of giants
Music theory
Planetary theory
Astronomy
Astronomy
9780762420186
0762420189
On the shoulders of giants (Philadelphia, Pa.)
2016-06-09
Philadelphia
Geometry
Hawking
Stephen
Stephen Hawking
1942
pau
Planetary theory
Kepler
Johannes
Johannes Kepler
1571
1630
Solar system
Early works
Proem -- Concerning the five regular solid figures -- On the kinship between the harmonic ratios and the five regular figures -- A summary of astronomical doctrine necessary for speculation into the celestial harmonies -- In what things having to do with the planetary movements have the harmonic consonances been expressed by the creator, and in what way? -- 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 -- In the extreme planetary movements the musical modes or tones have somehow been expressed -- The universal consonances of all six planets, like common four-part counterpoint, can exist -- In the celestial harmonies which planet sings soprano, which alto, which tenor, which bass? -- The genesis of the eccentries in the single planets form the procurement of the consonances between their movements -- Epilogue concerning the sun, by way of conjecture.
57411531
"Professor Hawking illuminates Johannes Kepler's revolutionary work, Harmonies of the World. An introductory essay with insights into Kepler's life and times makes the work of this revolutionary thinker accessible to a new generation of readers"--Back cover.
en
57411531
Harmonies of the world. Book five
2002
2002
Running Press
Harmonices mundi. Book 5.