Recently I wrote about approximations of an oversized Mercury Synodic Period of 117 days rather than a more accurate value of 116. 117 comes from more orthodox literature on Mayan calendars and discussion of the scant few surviving Mayan codices.
Th same literature advises us of a variation on the Venus Synodic Period of 585 as opposed to 584 (textbook value 583.92 days).
Obviously, while these variations promote interactivity between sets of simple calendar numbers, their accuracy may often leaves something to be desired.
I set out to find approximations of 585 that can be integrated into the set of numbers I am already working with, independently of the fact that 585 / 117 = 5, rather than simply apply this convenient ratio although this elegantly simple relationship between approximated calendar cycles may prove unavoidable.
A few mathematical probes later, I am really quite surprised to find that apparently there is a “wonder number” that has been right under out noses the whole time, without being noticed.
Whatever other approximations of 585 may be in order to establish a more versatile and functional calendar system, the number 585.2884653 has now come to light as significant.
One of the reasons this comes as a surprise is that the number is responsive to the major mathematical probes. On that basis, one would think that those experimenting with “Munck’s” numbers would have seen this number often and have noted its recurrence, but this does not appear to be the case.
In regards to the ratio between the whole numbered figures 585 and 117, we previously saw these as primary candidates for “117”
(1 / 2.720174976) / Pi = 1.170181657 / 10
(1 / 2.719256444) / Pi = 1.170576931 / 10
(1 / 2.718208958) / Pi = 1.171028023 / 10
585.2884653 / 5 = 117.0576931, so the simple ratio may indeed serve here, and this implies a few things, including that 585.2884653 is directly related to the “Real Mayan Annoyance”, and that 585.2884653 is readily available from the existing Stonehenge model, further reinforcing the idea that Megalithic architects were observing a truncated Solar Year of ~364 days as well as also paying extensive homage to a calendar year of ~365 days.
While it may make take some time to fully realize the implications of this, we can look at some of the things that are readily visible.
Interestingly, 585 does not have a whole number relationship to the standard Half Venus Cycle of 18980 days (I currently have no knowledge of the Half Venus Cycle aka Calendar Round having been adjusted to accommodate these variations in the Mercury and Venus Synodic Periods).
However, 18980 / 585 = 20 x 1.622222222. 1.622222222 = 365 / 225.
We also find that 225 / 117 = 18980.000846 / (Pi^2) / 10^n
That said for now, let’s have a closer look at 585.2884653.
Once again, it’s remarkable that this number wasn’t noted earlier, because it is very pleasingly responsive to major mathematical probes, starting with 1.177245771, which I am using these days as the value of the Megalithic Foot, although before that I knew it as a powerful mathematical constant with unusual exponential value. Here, exponential use of 1.177245771 connects 585.2884653 directly to other major mathematical probes like 1.622311470 and (Pi / 3).
By rights then it should be no trouble to find 585.2884653 at Tikal if we simply know to look for it.
585.2884653 x (1.177245771^1) = 6.890283706 (see Munck)
585.2884653 x (1.177245771^2) = 8.111557354 = (1.622311470 / 2) x 10
585.2884653 x (1.177245771^3) = 9.549296591 = (1 / (Pi / 3)) x 10
585.2884653 x (1.177245771^4) = 11.24186903 = 224.8373808 / 20
585.2884653 x (1.177245771^5) = 13.23444277 = (360 / 2.720174976)
224.8373808 inches being the primary value I use for the Petrie Stonehenge Unit and the one that is most resonant with its surroundings, we are guaranteed to find 585.2884653 at Stonehenge, and with ease, and because of the direct, simple relationship between “585” and “117”, the same should hold true for approximations of the alternate Mercury Synodic Period of ~117 as well.
For the record, 6.890283706 is a number that Carl Munck placed considerable importance on. Patrons of his work will likely recognize it right away.
For ourselves, we may wish to keep in mind that 6.890283706 is a simple fraction of 6.890283706 x 4 = 27.56113428, which is currently accepted as the C value for the Anomalistic Month of about 27.55 days in my tables.
Let’s look now at the relationship between 585.2884653 and the Pi ratio. In reality, it’s actually pretty poor apparently, which perhaps may have been a factor in this amazing number having been overlooked.
We occasionally do find numbers that are of great importance in spite of defying one or more of the major mathematical probes, but it’s pretty rare. The importance of numbers is often defined by their responses to major mathematical probes, with positive responses indicating accessibility, and by extension, universality.
All the same there are several important numbers that do come from the interaction of 585.2884653 with Pi
585.2884653 / Pi = 186.3031048 = 2 / 107.3519415
To the best of my knowledge, 107.3519415 was well honored among ancient architects, even if not all of the reasons have yet surfaced. This figure seems to appear in both Petrie’s data for the Bent Pyramid, and in Maler’s data for the El Castillo Pyramid in Mexico.
107.3519415 is intimately tied to the mathematics of the missing apex section of the Great Pyramid (in turned connected directly to the mathematics of the sarcen circle mean at Stonehenge), according to my extended version of Carl Munck’s Great Pyramid model, and may be directly linked to the mathematics of the circular Cuicuilco pyramid as well.
585.2884653 x (Pi^3) = 5 / 27.55182815, apparently our best approximation of the ~27.55 day Anomalistic Month.
585.2884653 x (Pi^2) = 115.5313123 x 10, which has been appearing for some time as an approximation of Tzolkin / Venus Orbital Period = 260 / 225 = 1.155555555, and of course 1155.555555 / 3.333333333 = 346.593939368, our best approximation of the 346.62 day Eclipse Cycle.
So we can see that 585.2884653 has astronomical relevance courtesy of the Pi ratio, even if their relationship is still curiously lacking in resonance. This gives us further possible explanation for an ancient fondness for 107.3519415 as well, along with it’s participation in one of Tikal’s truly astonishing (Pi / 3) chains, which gives forth a wealth of some of the most important numbers known.
Via the ratio 2 Pi, we can observe that
585.2884653 x ((2 Pi)^1) = (1 / “Incidental” Megalithic Yard of 2.719256444 ft) x 10^n
585.2884653 x ((2 Pi)^2) = 2.310626245 x 10^n — the conjunction of Megalithic Yard and Megalithic Foot: 2.720174976 / 1.177245771 = 2.310626245
585.2884653 x ((2 Pi)^3) = 145.1809287
145.1809287 has become part of the calculations of Stonehenge, where the Megalithic Yard used in the calculation becomes variable, a liberty I consider to be acceptable because some of Stonehenge’s important numbers appear to have also been chosen because they have a rapport with multiple versions of the Megalithic Yard, including the one that best approximates the Draconic Month.
This regards the inner bluestone circle, where
With the number of Megalithic Yards fixed at a value of 53.37190795, the Inner Bluestone Circle maximum circumference can be considered as
53.37190795 x AEMY 2.720174976 = 145.1809288
53.37190795 x IMY 2.719256444 = 145.1319050
53.37190795 x DMY 2.721223218 = 145.2368751
And of course, 106.7438159 / 2 = 53.37190795.
One can never over-emphasize the importance of 1.067438159, particularly at Stonehenge or Giza.
Let’s look now at the relationship between 585.2884653 and the power probe 1.622311470.
This appears to as if it may be connected to some extended series discovered while working with Rio Bec numbers, only at the time I had no idea what it meant, if anything, because it hadn’t actually sunk in that things might really get as complicated as juggling 364, 365, and ~365.25 all within a single system, but the system I work with does appear capable of it.
585.2884653 x (1.622311470^1) = 9.495201905 x 10^n = 18990.40381 / 20
585.2884653 x (1.622311470^2) = 1.540417496 x 10^n
585.2884653 / (1.622311470^1) = 360.7744112
585.2884653 / (1.622311470^2) = 222.3829504
585.2884653 / (1.622311470^3) = 137.0778389
585.2884653 / (1.622311470^4) = 84.49539012
While how to use it exactly remains unknown, 1.540417496 likely has the capacity for functions similar to 15.41011111 = (1 / 1.622311470 / 4)), which currently serves as “connective tissue” in the planetary table, where one of the experimental formulas defining the Eclipse Year is VOP x 1.541011111.
What is revealing here, and which may point backward in the direction of Rio Bec (which is perhaps a good place to look to learn more about this, along with Tikal and the surrounding area), is that 222.3829504 = 5 / 224.8373808 = it’s a classic “backhanded” way of writing the primary form of the Venus Orbital Period and we seem to see the Venus Orbital Period expressed this way quite often.
Little is known yet about the “rules” for crossing over between columns of the planetary table, which may have been part of the message of Rio Bec, along with the existence of Group C, whose legitimacy was not fully realized until returning to the subject of Stonehenge.
In this context, we can see equations like
Calendar Round A 18983.99126 days / 1.622311470 = 117.0181658 x 10 (117.0181658 has been entered into the planetary tables as the A value for the alternate Mercury Synodic Period)
Calendar Round A 18983.99126 days / (1.622311470^3) = 1 / 224.9133276, Venus Orbital Period C.
Thus as 1.622311470 has begun to flex its critical exponential value, we get an introduction to an obvious calendar figure, but from a different calendar set. There is reference to Calendar Round (HVC) C as well, one of the occurrences of which we saw back here
585.2884653 x (1.622311470^1) = 9.495201905 x 10^n = 18990.40381 / 20
18990.40381 = Half Venus Cycle (Calendar Round) C.
Currently, 117.0576930 belongs to what may be a satisfactory arrangement of the C Group, and since 117.0576930 x 5 = 585.2884653, and conserving this very tidy ratio will of course place 585.2884653 in the C Group as well.
Since returning to this pursuit several years ago, I have finding more and more reason to use the number 360 as a mathematical probe, along with the other two components of the great Giza equation, 360 / (2 Pi) = 57.29577951 (the Radian in arc-degrees).
If we do this with 585.2884653, it’s even more surprising that the number hasn’t become an issue sooner, since 2.107038475 / 360 = 5.852884653 / (10^n)!
2.107038475 is the primary value I use for the Palestinian Cubit, which is directly related to the Remen and Royal Cubit of Egypt, but even more importantly,
4 / 2.107038475 = 18983.99126 / 10^n. Palestian Cubits in this range can show direct relationship to the Half Venus Cycle / Calendar Round, yet more metrology seemingly derived from astronomy.
This means 585.2884653 is written into the Great Pyramid’s platform width according to my model (758.5338510 / 360 / 360 = 5.852884653 / (10^n), and that we can draw a possible candidate for Tropical or Sideral Year out of the numbers in this series
5.852884653 x (360^3) = 273.0721864 (its reciprocal may prove to be a valid form of the Leap Year, another form of the year for us to juggle).
Perhaps this is the biggest surprise, though
5.852884653 / 360 = 1.625801293, or 1/10 of the height of Great Pyramid’s missing apex section expressed in standard Royal Cubits.
1.625801293 is suspected of being a possible link between more realistic figures for the Earth Year and Venus Orbital Period than are used with ancient common calendars (365.25 / 1.625801293 = 224.6584509).
Hence, 585.2884653 can not only be derived from the Great Pyramid’s platform measures, but from its capstone projection data as well, by a very obvious means (360^n), making it more likely for us to find as long as we recognize the value of what we are seeing.
It also remains very surprising it was not already found at Tikal, since it belongs to a very prominent (Pi / 3) series – one that shows us a very obvious way to find 585.2884653 at Stonehenge, and that shows us just how easily 585.2884653 can be constructed from some common constants.
We can start such a series here with 29.52390318, now our premiere representation of the Lunar Month of ~29.53 days
(29.52390318 / 8) = 3.690487898
3.690487898 x ((Pi / 3)^1) = 3.864669889 Cuicuilco Pyramid
3.690487898 x ((Pi / 3)^2) = 16.18829140 / 4
3.690487898 x ((Pi / 3)^3) = 4.238084772
3.690487898 x ((Pi / 3)^4) = 887.6223994 / 200
3.690487898 x ((Pi / 3)^5) = 46.47580013 Chephren Pyramid
3.690487898 x ((Pi / 3)^6) = 48.66934409 Stonehenge sarcen circle
3.690487898 x ((Pi / 3)^7) = 5.09664175 (1.622311470 x Pi) x 10^n
3.690487898 x ((Pi / 3)^8) = (1.067438159 / 2) x 10^n
3.690487898 x ((Pi / 3)^9) = 55.8909314, apparently one of Stonehenge’s approximations of 56, and one of the more useful ones
3.690487898 x ((Pi / 3)^10) = 585.2884653
Indeed then we can find 585.2884653 from many places, and repeatedly from Giza and Stonehenge, and even from some metrological units themselves – like many other important numbers, it’s seemingly built into metrology.
So there is what I’ve learned about the number thus far – enough to suddenly have a surprising level of confidence in it, in fact.
–Luke Piwalker
Luke Piwalker 