In "Planetary Resonances with the Moon" I explored the astronomical matrix presented in The Harmonic Origins of the World with a view to reducing the harmonic between outer planets and the lunar year to a single harmonic register of Pythagorean fifths. This became possible when the 32 lunar month period was realized to be exactly 945 days but then that this, by the nature of Ernest McClain’s harmonic mountains (figure 1) must be 5/4 of two Saturn synods.
Using the lowest limit of 18 lunar months, the
commensurability of the lunar year (12) with Saturn (12.8) and Jupiter (13.5)
was “cleared” using tenths of a month, revealing Plato’s World Soul register of
6:8::9:12 but shifted just a fifth to 9:12::13.5:18, perhaps revealing why the
Olmec and later Maya employed an 18 month “supplementary” calendar after some
of their long counts.
By doubling the limit from 18 to three lunar
years (36) the 13.5 is cleared to the 27 lunar months of two Jupiter synods,
the lunar year must be doubled (24) and the 32 lunar month period is naturally
within the register of figure 1 whilst 5/2 Saturn synods (2.5) must also
complete in that period of 32 lunar months.
Table des Marchands, a dolmen at Lochmariaquer, can explain how the Megalithic came to factorise 945 days as 32 lunar months by looking at the properties of the numbers three, four and five. At that latitude, the solstice angle of the sun on the horizon shone along the 5-side of a 3-4-5 triangle to east and west, seen clearly at the Crucuno Rectangle "Lunar Counting from Crucuno Dolmen to its Rectangle".
Before numbers were individually notated (as with our 3, 4 and 5
rather than |||, |||| and |||||) and given positional notation (like our
decimal seen in 945 and 27), numbers were lengths or marks and, when marks are
compared to accurately measured lengths measured out in inches, feet, yards,
etc. then each vertical mark would naturally
have represented a single unit of length. This has not been appreciated
as having been behind marks like the cuneiform for ONE; that it probably meant
“one unit of length”.