- Category: Planetary Harmony
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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).
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
- Category: Planetary Harmony
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Readers of my article Lunar Counting from Crucuno Dolmen to its Rectangle will be familiar with the finding that in 32 lunar months there are almost exactly 945 days, leading to the incredibly accurate approximation (one part in 45000!) for the lunar month of 945/32 = 29.53125 days. In the previous article on Seascale I noticed that 36 lunar months (three solar years) divided by 32 lunar months is the Pythagorean tone of 9/8. This leads to some important thoughts regarding the tuning matrix of the Moon within the periods of the three outer planets, since the synod of Jupiter divided by the lunar year of 12 lunar months is the tone 9/8, the same tone that on "holy mountains" of Ernest G. McClain's ancient tuning theory, are only found between two tonal numbers separated horizontally by two perfect fifths of 3/2, since 3/2 x 3/2 = 2.25 which, normalised to the octave of 1 to 2, is 1.125 or 9/8.
If the matrix unit is one tenth of the lunar month, then three lunar years become 360 units which, taken to be do2 = D'' = the harmonic limiting number, which presents the matrix in figure 1.
Figure 1 The Harmonic Matrix for 360 = 36 months, showing that the 32 lunar month period of 945 days starts the second row as harmonic number 320. Screen grabbed from my online app Harmonic Explorer for Ernest McClain's tuning mountains
This matrix, being two dimensional, has to be read in one dimensional ways:
- The number 320 in the matrix is the 32 lunar month period whilst in between lies two lunar years as G=240.
- To the right of D = 360 lies 270 which is two Jupiter synods taking 27 lunar months.
- Saturn is the bottom left "cornerstone" of a-flat = 256: again lasting for two of it's synods of 12.8 lunar months.
- On top of the matrix is a periodicity of 25 lunar months during which exactly two synods of Uranus equal to 12.5 lunar months, complete.
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