The Egyptians have a legend that the end of
Osiris s life came on the seventeenth of the month, on
which day it is quite evident to the eye that the
period of the full moon is over.1 Because of this the
[p. 103]
Pythagoreans call this day ‘the Barrier,’ and utterly
abominate this number. For the number seventeen,
coming in between the square sixteen and the oblong
rectangle eighteen, which, as it happens, are the only
plane figures that have their perimeters equal to their
areas,2 bars them off from each other and disjoins
them, and breaks up the ratio of eight to eight and an
eighth3 by its division into unequal intervals.
Some say that the years of Osiris's life, others that
the years of his reign, were twenty-eight4; for that is
the number of the moon's illuminations, and in that
number of days does she complete her cycle. The
wood which they cut on the occasions called the
‘burials of Osiris’ they fashion into a crescent-shaped
coffer because of the fact that the moon, when it
comes near the sun, becomes crescent-shaped and
disappears from our sight. The dismemberment of
Osiris into fourteen parts they refer allegorically to
the days of the waning of that satellite from the time
of the full moon to the new moon. And the day on
which she becomes visible after escaping the solar rays
and passing by the sun they style ‘Incomplete Good’;
for Osiris is beneficent, and his name means many
things, but, not least of all, an active and beneficent
power, as they put it. The other name of the god,
Omphis, Hermaeus says means ‘benefactor’ when
interpreted.
1 Fourteen days, or one half of a lunar month, before the ἕνη καὶ νέα, if the lunar month could ever be made to square with any system of chronology!
2 That is: 4 x 4 = 16 and 4 + 4 + 4 + 4 = 16: so also 3 x 6 = 18 and 3 + 6 + 3 + 6 = 18.
3 That is, 1/8 of a number added to itself: thus 16 + 16/8 = 18. Eighteen, therefore, bears the epogdoon relation to sixteen, which is broken up by the intervention of seventeen, an odd number.
4 Cf. 358 a, supra.