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”.

Natural time periods between celestial phenomena
hold powerful insights into the numerical structure of time, insights which
enabled the megalith builders to access an explanation of the world unlike our
own. When looking at two similarly-long time-periods, the megalithic focussed
on the difference between them, these
causing the two periods to slide in and out of phase, generating a longer
period in which the two celestial bodies exhibit a complete ensemble of
variation, in their relationship to each other. This slippage of phase between
celestial periods holds a pattern purely based upon number, hidden from the
casual observer who does not study them in this way. Such numerical patterns
are only fully revealed through counting time and analysing the difference between
periods numerically.

For example, the solar year is
longer than the lunar year by 10 and 7/8 days (10.875 days) and three solar
years are longer than three lunar years by three times 10.875 days, that is by 32
and 5/8^{th} days (32.625 days), which is 32/29 of a single lunar month
of 29.53 days.

The earliest and only explicit evidence for such
a three year count has been found at Le Manio’s Quadrilateral near Carnac (circa
4,000 BCE in Brittany, France) used the inches we still use to count days, a “day-inch”
unit then widespread throughout later megalithic monuments and still our inch,
1/12 of the foot [Heath & Heath. 2011]. The solar-lunar difference found
there over three years was 32.625 day-inches, is probably the origin of the
unit we call the megalithic yard and the megalith builders appear to have
adopted this differential length, between a day-inch count over three lunar and
solar years, in building many later monuments.

The numerical foundations of the “earth mysteries” were nominally present in the medieval doctrine of the four numerical arts, the Quadrivium of sacred numbers, geometry, musical harmony and astronomy. However, these foundations need to be applied to something real which is: the numerical nature of the world seen from being alive upon it. This application gives a completely different set of results to modern science where, instead, numbers are being employed for measurements and calculations (using the physical laws discovered after the medieval period came to an end.)

The ancient mysteries treated numbers as having characteristics seen to be active within the world.

In applying these numerical arts, one comes into contact with mysteries in the form of ancient monuments, art and literary works, these containing the clues required for developing, in oneself, a kind of skill. This skill can mature into being able to recover information in the most unlikely circumstances because something apparently other to oneself is active within you: a developed sense. This I call the autonomous nature of the mysteries, which is essential when going beyond what is simply data in books, monuments, etc. I believe it is mistaken to call such mystery work historical since it is actually happening in the present moment to create something new, whilst appearing to reference data from the past. Historical data provides the necessary starting points for a new work of reconstructing the mysteries within oneself.