Stephen says

'That there was a connecting link between the Megalithic Yard as an area unit, nearly equivalent to an Imperial Ft. value factored in units of base 37. Such as a sq. MY of 2.72 Ft. = 7.4 sq. Imp/Ft., very nearly in any case at 7.3984 sq/ft. All those other discussion points concerning Scottish units of base 37 have been engaging my attention a lot lately.
I forgot to add, the differential ratio between your proposed value of the MY and it's Imp. sq/ft. is 4625/4624.'

i try not to use approximations so i would use 7.3984 and i only try to use other people's numbers so you can't be accused of fudging. I always look for squares but focus on Pi squared using two different versions of pi because 22/7 and 40.8/13 without any doubt work at the Aubrey using Thom's and Mike Parker Pearson's analysis.

22/7 x 40.8/13 x 91 = 897.60

using 39.375

i would say 39.375 x 8/3 x 8/3 = 280 is proving something about your unit.

What is 39.375 as a fraction apart from 39375 / 1000?

8/3 x 8/3 = 64/9 so two squares.

i always want Pi in my calcs but like to hide it so 22/7 is 8/3 x 66/56

the meg yard pi is 24/10 x 68/52.

So fractions are always required and irrational numbers need to be smoothed out.

This is how I work your unit as 630/16 or 9 x 7 x 10 /2 x 2 x 2 x 2 (9 is 3x3) get it down to natural numbers

630/16 x 22/7 = 13860 / 112 = 495/4

495/4 x 31416/10000 = 15550920/ 40000

Then

[numbermatics.com]

Then i would go looking for the work of another metrologist who uses 39.375 possibly in a different format.

You unit works with Pi squared using 22/7 and 31416/10000.

So then i would use Jim's fibonacci pi unit

495/4 x 3.141818181818r = 388.8 then just divide by the primes working up

1555.2
388.8
194.4
97.2
48.6
24.3
8.1
2.7
0.9
0.3


then the question is why?

Answer - i don't know but the mechanics of the prime numbers are there and the unit works with 3 versions of Pi so it is pretty special.

I think only base 13 is missing this means the unit can be expressed in base 17 megalithic yards. This is put there by 31416/10000



Edited 3 time(s). Last edit at 12-Jan-18 13:24 by DavidK.