In the preceding post, I used the term “justify” to describe the near overlap between the numbers I work with, and numbers actually generated by various Mayan calendar formulas, which we assume could have also been used anywhere and everywhere else in the ancient world.
Beyond knowing that this overlap may often take place, we also know that some remarkable approximations of the numbers I work with include the geometric constants like Pi. It’s easy enough to generate some some very good approximations (see Mayan Pi) of the Pi ratio using some prominent Mayan calendar numbers, and that too may be seen as “justification” of a more refined and more precise system of numbers (i.e., “Munck’s” and “mine”) to complement and unify other possible systems or subsystems.
Here is one such equation I believe I’ve shared before
1 / 260 = 3.846153846 = 1.923076923 x 2; 1.923076923 x Pi^2 = 18980.00846.
We also state it as
18980 x 260 x 2 = 9869600 = 3.141591953^2 x 10^n
There is also
3.141591953 / 18980 = sqrt (1 / 365000000).
So we can build what is by most standards an excellent approximation of Pi out of nothing more than 18980 and 260 which are huge in the world of calendars.
As I continue to experiment, I think that so far the following might be a particularly notable example.
18980 x 346.666666 = 6579.733333 = 13159.46667 / 2, a remarkable approximation of the 1.315947254 value that I work with, which is from Mr. Munck, it is .1333333333 x (Pi^2). The accuracy of approximation here is .999999553.
This is the same as some of the Mayan Pi we saw in the first example (346.666666 / 260 = 1.333333333):
13159.46667 / .1333333333 = 3.141591954^2
(18980 x 346.6666666 x 780) / 2 / 10^n = sqrt 6584.848681 / 10; Saros Cycle = 6585.3211 days)
However, 13159.47254 / 2 = 6579.736270 is itself a candidate for one of the valid approximations of the Saros Cycle, and we may wish to observe that
6579.736270 / 224.8373808 = 29.26442323, 10 times the “Real Mayan Annoyance”
6579.736270 / 2000 = 3.289868135, which has been known before as the “Cholula Meter” and the “Guachimontones Meter”. It actually is a valid ancient form of the meter according to my current expanded metrological tables.
Here’s another – if we square the symbolic Precessional Cycle and divide by the Half Venus Cycle, (25920^2) / 18980 = 353.9759747 x 10^n, looking a bit like my standard approximation of the Lunar Calendar Year, (57.29577951 / 1.618829140) x 10^n = 353.9334578.
I am working with the approximation (1.067438159 x 10^n) / 25920 = 411.8202774 to represent the Full Moon Cycle rather than its text book value 411.78443029.
This may be justified by the probably legitimate Mayan Calendar equation
(819 x 354) / 704 = 411.8267045
I may have recently mentioned how these equations
(819 / 225) x 10^n = 364 and 364 / 225 = 1.617777777 may justify the idea of “Rio Bec Phi”.
In turn, (1.617777777 / 56) x 10^n = 28.88888888 = 346.6666666 x 12.
There are also equations made from plausible Mayan numbers that may justify at least several approximations of the Half Venus cycle, including the largest, which adds all of 17 days to the 18980 value.
There may be an ancient reason for it that derives directly from orthodox Mayan mathematics itself, rather than being something I invented myself.
Stand by your approximations.
–Luke Piwalker
Luke Piwalker 