It took me a while to analyze this much info on MY Math Today. I do like your stand on a basic MY value of 2.72 Ft.Imp. Simple and straightforward and easy to do fractional adjustments as needed. And although I also like the Diatesseron 4/3 ratio take on the sq/rt. values x Pi version of the HFMY, it is a little overstated I think. One half of sq/rt. 3 x Pi is much simpler to remember. I can't be certain that it's inverse value was intended to represent the GP's perimeter in inches, just because it can at that level of Pi precision. Plain old seked 7/5.5 rise/run works just fine on that big pile of limestone blocks, as Jacob will attest, LOL! Not that I don't like tweaking those parameters from time to time myself. :) And your version of Pi stated as 1632/520 will take some getting used to also, although interesting in it's base 13 denominator and base 17 numerator values, does have correspondence as a Solar yearly cycle, when divided into 52 weeks. I like how you apply it here in this case:
<An example of how they produced astronomical information using the megalithic yard is
346.66666r the lunar year rounded x 1632/520 = 1088.
In my working life I was a systems analyst and this stuff is right up my street. I had no interest in astronomy of archaeology. i was simply totally impressed by the statistical integrity of Thom's first book so i wrote a book about it.
365.25 - 10.88 = 354.37 / 12 = 29.53083333>
I'm not sure where you obtained that 1040/3 Lunar year cycle rounded from, but it's interesting also. The results are accurate enough to obtain a precise value of the Lunar Synodic cycle. Only 20 secs. off NASA's modern calculation of 29.5306 days. Nice shooting Tex, LOL! I wonder if I can shave a few more seconds of that shot with this model I usually keep under wraps. Try the cube root of 1892, which value has a Greek Orthodox liturgical phrase correspondence of "O'Pantokrator", as the divisor of the Gregorian Calendar year of 365.2425 days, = 29.53073543 days, - 29.5306 days NASA = .000135432 x 86400 secs. = 11.7 secs. Not too shabby shooting either, eh? :)
Best Holiday regards,