first published on my Square Space blog on November 26, 2006
The picture below is a composite of three things
The Chartres eleven level labyrinth discussed in chapter seven.
The iconography of Thoth as Pi within the circle (from Temple of Man).
The hexagonal number 19 as circles
The 22 units of the 21 unit sector of Thoth’s fathom correspond to 19 “cogs” of the circumference of the Chartre labyrinth.
It is fabulous that the cogs are used to define, by their centres, the perimeter as the unit called ped manualis by the builders, according to John James (the foremost investigator of that cathedral’s construction order – see his website).
Whilst the ped manualis is a Royal Foot, 8/7, in Neal’s Standard Geographical variation (times 126/125 and times 176/175), it is also close to 22/19 feet (different by 8 thousandths of an inch and 99.94% accurate). Thus whilst 19 cogs equal 22 units, the cogs are 22/19 which times 19 is 22 feet – plus 19 is a hexagonal number and there is the motif of six petals in the centre.
The entire circumference is, like the iconography of Thoth, 6 x 22 = 132 feet long. Using Pi at 22/7, the 22s cancel and the result is a diameter of 6 x 7 or 42 English feet. Like the Scottish brochs, the units directly interpret the ideal value of Pi itself as 22/7, employing as it does the prime numbers 11/7 that also define "Ancient Model of the World".
When understanding the origins of human knowledge, we tend not to look into the everyday aspects of life such as the calendar, our numbering systems and how these could have developed. However, these components of everyday life hold surprising clues to the past.
An example is the seven day week which we all slavishly follow today. It has been said that seven makes a good number of days for a week and this convenience argument often given for the existence of weeks.
Having a week allows one to know what day of the week it is for the purposes of markets and religious observances. It is an informal method of counting based on names rather than numbers. Beyond this however, a useful week length should fit well with the organisation of the year (i.e. the Sun), or the month (i.e. the Moon) or other significant celestial or seasonal cycle. But the seven day week does not fit in with the Sun and the Moon.
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.