
Re: Prime numbers and pi
Posted:
Apr 26, 2009 4:18 AM


Milo, there are no exact numbers in astronomy. A lunar year has in between 29 and 30 days, a solar year in between 12 and 13 lunar years or lunations, and in between 365 and 366 days. The oldest way of counting lunations  Lebombo, Central Equatorial Africa, 35,000 years ago, Lascaux, 18,000 years ago  was 30 29 30 29 30 29 30 29 30 29 30 ... days for 1 2 3 4 5 6 7 8 9 10 11 ... lunations. The people of the Göbekli Tepe culture, 12,000 years ago, used this algorithm for a fixed value:
17 lunations are 502 days 15 lunations are 443 days 17 lunations are 502 days 15 lunations are 443 days
64 lunations are 1,890 days
A year had 12 months of 30 days, plus 5 and occasionally six more days, while 63 continuous periods of 30 days, or 270 weeks of 7 days, are 1,890 days and correspond to 64 lunations.
The Egyptians inherited the Göbekli Tepe calendar. An Egpyptian year had 12 months of 30 days, corresponding to the 36 dekans of the sky, while 63/64 or '2 '4 '8 '16 '32 '64 of a month was a lunation of 29 days 12 hours 45 minutes, mistake less than one minute per lunation, or half a day in a lifetime.
Doubling and halving was important in Egyptian mathematics and came handy with the abacus, but I can't believe that the Egyptians of the Old Kingdom used only Horus eye fractions. Giving 63/64 as "3 '6 '12 '24 '48 '192 or as '3 '5 '6 '10 '20 '36 '40 '80 '144 '288 '320 makes no sense, '2 '4 '8 '16 '32 '64 of a month of 30 days is much simpler, but concluding from the Horus eye series that the mathematicians of the Old Kingdom had no third, no fifth, and so on, is certainly wrong.
We may assume a very ancient myth of a former cosmic balance, an early time when a lunar year had 30 days, and a solar year 12 lunations or 360 days. Then an evildoer must have destroyed the primeval harmony. In the Nile Valley this evildoer was Seth who destroyed the lunar eye of the Horus falcon. Wise Thoth restored the lunar eye, he added up '2 and '4 and '8 and '16 and '32 and '64 and obtained a lunation. The primeval lunar eye was then a month of 30 days, and the restored lunar eye one lunation, 63/64 of a month, the best Thoth was able to achieve once the primeval order had been overthrown.
Regards, Franz Gnaedinger

