Planets seen from Earth form a synodic period that differs from their orbital period around the Sun. Synodic cycles are delineated by the earth passing by other planets during its orbit, the solar year. The lunar year, of twelve lunar months, has come into harmony with the synodic periods of planets; a fact this section explores - further detailed in the book Harmonic Origins of the World.

First Published on Cosmic Harmonist with 6546 views.

The crucial entré to planetary harmony came when I noticed musical ratios in the synodic time periods of Jupiter and Saturn relative to the lunar year. This approach differs from the norm for "harmonies of the spheres" (a.k.a. Musica Universalis) that are geometrical and spatial rather than temporal.

My aim here is to prepare supporting material for my book, published March 2018, called The Harmonic Origins of the World, this by reviewing how these synodic periods were parts of my previous work from c. 2000, using "matrix diagrams". I will show (in my new book)how ancient tuning theory seems to have presented the same information. To avoid spilling all the beans I am now connecting the outer planets in a different (and useful) kind of diagram called the Pentad, evolved in the 20th century within Systematics (more on that in previous article).

FourSquare Jupiter Saturn

Figure 1 The harmonic ratios between the nearest two outer planets and the lunar year
The four square rectangle with side eaqual lunar year gives, geometrically, the 
solar year as diagonal length. The outer planetary synods are longer since
the planets have moved ahead of their last opposition to the sun, when
they appear to travel in a loop amongst the stars