<Here is the math for the Aaku-Meh or "Light Measure" W.A Budge
From the 3 interval of the fifth interval scale; (fifth interval= x1.5)
Starting from 128x1.5=192x1.5=288x1.5=432x1.5=648
Interval 3 288 to 432 interval = 432-288=144
Interval 3 value= 144 dividing that interval by 7 = 20.57142 the ROOT Cubit
Third and fourth "note" are 288 and 432 respectively
Fourth "note" squared (432x432)= 186624 the ROOT speed of light
ROOT cubit 20.57142 Inches to Feet 20.57142 divided by 12 = 1.7142857 ft
ROOT speed of light 186624 divided by ROOT Cubit 1.7142857 = 108864.001
108864.001 divided by the ROYAL 20.61818 = 5280.000 (ft/mile)
The ROYAL Cubit is dividing the 5th "note" 648 by 3.14285 (22/7)= 206.1818
Move the decimal point to 20.61818 the ROYAL Cubit
Also 432 divided by 21 = 20.57142 The ROOT Cubit
Also the GREAT YEAR "canonical to current rate of precession
25920 years - 144 =25776 years 25776 divided by 360 degrees = 71.6 yrs
71.6 years equal 1 degree of precession we experience currently>
You've obviously been doing some intense studying of these ancient systems and know quite a bit about their various interactive correlations as described here. In most cases, ancient astronomic values were derived from the Canonical EMC John Michell determined of 24,883.2 Mi. Circ. of the Earth. I have no problem with that as I've mentioned to Jacob on his post regarding the GP's measures and the Tropical Year topic on the Mysteries forum board. The only flaw I have found in John Michell's deliberations was his attempt to convert this Canonical system into something of a dynamic model of the Earth's proportions instead of what it is, a static generic Spherical model that doesn't correctly accomodate it's Oblate Spheroid parameters. You've mentioned the Platonic Lamda series value 2187 or 3e7, already in another context, and this value does appear in the adjustment process of the Canonical Precession Year value of 25,920 yrs. which is in ratio to the Canonical EMC as 25/24. A well known metrologic conversion value as John Neal and Michell correctly noted between the ancient Roman and Greek Ft. units.
Most folks are content to see this 25,920 value as being of paramount relevance, but it can be derived by other means also. The ancient Vedic Naksatra system which also covers the ancient Oriental Lunar Mansions system 28 and 27 divisions of the heavens works together to generate this value as follows. 28/27 x 25,000 yrs. = 25,925.925cyc. yrs., adjusted by the ratio 4374/4375 = 25,920 yrs. 4374 being twice 2187 in the Platonic Lambda series. The more correct value according to todays measurements are as you mentioned 25,776 yrs. which is according to the same ancient system, the ratio 33/32 x 25,000 yrs. = 25,781.25 yrs. This figure which is just a tad different, is the simplified version of the Saros cycle or Nodes of the Dragon in astrologic lore, otherwise known as the cycle of the Moon's orbital parameters around the Earth that determines eclipse cycles. In other words, a Tropical Year of 365.2425 days as per the Gregorian calender x 33/32 = 354.174545cyc. days / 12 = 29.514545cyc. days per Synodic Month.
Although this value is slightly off the current known value of 29.5307 days, it is still accurate enough for the intercalary adjustment process. Both of these ratio factors of 28/27 and 33/32 work together to generate an accurate measure of the precessional parameters which as most know, is due to the Oblate Spheroid shape of the Earth, and the gravitational torque that is mostly applied by the Sun and Moon's pull on it. When factored together they create another ratio of either 77/72 or 385/360. This is how the correct figures were obtained for the system that was actually known by the AE's. Note the base 7 and 11 units here, as well as the Canonical duodecimal 12's units. This is somewhat absent in JM's Canonical system except for the one common denominator factor of 7920 En. Mi. Earth diameter in both systems which has the 11 and 12 factors present.
So before I continue any further, I would like to know if you are comprehending this discussion so far, if you would care to find out more.
Stephen W. Dail