The Harmonies of the World by Johannes Kepler



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Saturn joins in this universal consonance with its aphelial movement, the Earth with its aphelial, Venus approximately with its aphelial; at highest tuning, Venus joins with its perihelial; at mean tuning, Saturn joins with its perihelial, Jupiter with its aphelial, Mercury with its perihelial. So Saturn can join in with two movements, Mars with two, Mercury with four. But with the rest remaining, the perihelial movement of Saturn and the aphelial of Jupiter are not allowed. But in their place, Mars joins in with perihelial movement.

The remaining planets join in with single movements, Mars alone with two, and Mercury with four.



[297] Accordingly, the second skeletal outline will be that wherein the other possible consonance, 5 : 8, exists between the Earth and Venus. Here one eighth of the 94´50″ of the diurnal aphelial movement of Venus or 11´51″ +, if multiplied by 5, equals the 59´16″ of the movement of the Earth; and similar parts of the 97´37″ of the perihelial movement of Venus are equal to the 61´1″ of the movement of the Earth. Accordingly, the other planets are in concord in the following diurnal movements:



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