Figure 1 The elimination of 5 as a factor in the harmonic mountain for 36 lunar years, resolved using matrix units of one tenth of a month and the limit 360 units.
In a previous post 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.
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