There is an alternate hypothesis. The Egyptian royal cubit was increased
by 1·224 to make the Great Assyrian cubit. Now this is about the
proportion in which a measure containing a certain weight of water must
be increased in height to contain the same weight of wheat. This
proportion, the water-wheat ratio, is something between 1·22 and 1·25,
the former being the usual ratio with the heavier wheat of Southern
countries. Supposing a cubical vessel measuring a royal cubit of 20·64
inches in each side, therefore containing 8792 cubic inches = 317 lb. of
water (which was the Great Artaba) to be increased in height so as to
hold the same weight of wheat, its height would now be 1·224 × 20·64 =
25·26 inches. This might have been taken for a new cubit.
This would not prevent the new cubit, the Great Assyrian cubit, being
itself in course of time cubed to form the Den measure, as its half, the
foot, was cubed for its weight of water to make the Greek-Asiatic
talent.
However this be, the great Assyrian cubit, which continued to be used in
the Persian empire, had the advantage of being divided into 8 palms and
of making a good two-foot rule, though its half, the foot, was rather
too long for popular use. This cubit exists to this day in Egypt, being
the basis of the Reed or Qasáb. This is the ‘full reed of six great
cubits’ (Ezek. xli.), the ‘measuring rod of six cubits by the cubit and
a handbreadth,’ that is the old seven-palm cubit with a palm added. The
Qasáb = 151·16 inches is = 12 Assyrian feet.
Yet, for the common purposes of life, a foot = 12·63 inches was too long
to be popular; everywhere the people like a short foot, especially in
the South and the East. Moreover the cubit was a departure from the
simple geodesic standard of the meridian cubit. Accordingly there was
devised in Persia a cubit satisfactory both to the scientific class and
to the people, with a simple geodesic standard for scientific purposes
and a convenient short foot for the common purposes of life. This was
the Beládi cubit. It is perhaps the best of the cubits.
4. THE BELÁDI CUBIT (_c._ 300 B.C.)
The new Persian cubit, known as the Beládi (from _belád_, country), had
the advantage, first, of a simple relation to the Parasang or meridian
league of 30 stadia = 1/20 degree; secondly, of it being divisible into
two feet of convenient length.
The meridian mile being = 6080 feet or 72,960 inches the parasang is
therefore 3 × 72,960 = 218,880 inches; and the Beládi cubit, 1/10000 of
the parasang, was therefore = 21·880 inches. This is the length that
John Greaves gave in 1645 as his measurement of what he called the Cairo
cubit, one of the different standards that have accumulated in Egypt
during sixty centuries.
Public-domain text, read in full here on John Shaqi.
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