Harmonies of the World

The chapters of this book are as follows:
1. Concerning the five regular solid figures.
2. On the kinship between them and the harmonic ratios.
3. Summary of astronomical doctrine necessary for speculation into the
celestial harmonies.
4. In what things pertaining to the planetary movements the simple
consonances have been expressed and that all those consonances which are
present in song are found in the heavens.
5. That the clefs of the musical scale, or pitches of the system, and the
genera of consonances, the major and the minor, are expressed in certain
movements.
6. That the single musical Tones or Modes are somehow expressed by the
single planets.
7. That the counterpoints or universal harmonies of all the planets can exist
and be different from one another.
8. That four kinds of voice are expressed in the planets: soprano, contralto,
tenor, and bass.
9. Demonstration that in order to secure this harmonic arrangement, those
very planetary eccentricities which any planet has as its own, and no
others, had to be set up.
10. Epilogue concerning the sun, by way of very fertile conjectures.