It is good that Cloister has 4.5 in his calculations because this is the unit used to work out the Pi approximation using the Harris and Stockdale Megalithic Foot of 14.142 inches.
14.142 / 4.5 = 3.142666667
This is actually 22/7 x 16499 / 16500 being the imperial rod and a convergence of metrological ideas is happening here.
Peter Harris has only recently published his work in respect of the HSMF and it is surely an approximation of root 2 and a derivative of the imperial system.
Yet another example of the manipulation of Pi by our ancestors to go with Jim's fibonacci pi of 3.141818181818181r or 3.1104*100/99. (Cloister has 99 and 100 in his opening post).
these two versions go with 22/7 or 1760/560 and 1632/520.
i suggest the saros eclipse cycle is calculated as 449/450 x 6600 ( the chain x 100) so 450 or 4.5 is part of the imperial system.
If you multiply any unit in the imperial system by 34/33 you get the equivalent Thom unit.This unit of concversion is 1.03030303030r or 1.02*100/99.
The chain 100 links) becomes 66 feet x 34/33 = 68 feet and this is 1000 megalithic inches in Thom's system
diameters are 66/22 x 7 = 21 feet and 68 /1632x 520 = 21.66666666666r
circ less diam for each unit is 45 and 46.3333r and the difference is 1.333r or 4/3 the basic eclipse unit.
I wrote a book called 'Proving the Megalithic Yard' because it is so important that Thom's work is reappraised by modern metrologists.
Peter's unit is 66/56 x 16499/16500 in imperial feet and this relationship of 66/56 x 8/3 is pi as 22/7.
In Thom's system the ratios become 68/52 x 24/10 = 1632/520
Obviously his unit of 56 is the Aubrey circle number of postholes. i say as much in my review of the book ob Amazon
Edited 3 time(s). Last edit at 03-Jan-18 19:09 by DavidK.