of which had thirty daughters half white and half black: and
_Thales_ [53] called the last day of the month [Greek: triakada], the
thirtieth: and _Solon_ counted the ten last days of the month backward from
the thirtieth, calling that day [Greek: enen kai nean], the old and the
new, or the last day of the old month and the first day of the new: for he
introduced months of 29 and 30 days alternately, making the thirtieth day
of every other month to be the first day of the next month.

To the twelve Lunar months [54] the ancient _Greeks_ added a thirteenth,
every other year, which made their _Dieteris_; and because this reckoning
made their year too long by a month in eight years, they omitted an
intercalary month once in eight years, which made their _Octaeteris_, one
half of which was their _Tetraeteris_: And these Periods seem to have been
almost as old as the religions of _Greece_, being used in divers of their
_Sacra_. The [55] _Octaeteris_ was the _Annus magnus_ of _Cadmus_ and
_Minos_, and seems to have been brought into _Greece_ and _Crete_ by the
_Phoenicians_, who came thither with _Cadmus_ and _Europa_, and to have
continued 'till after the days of _Herodotus_: for in counting the length
of seventy years [56], he reckons thirty days to a Lunar month, and twelve
such months, or 360 days, to the ordinary year, without the intercalary
months, and 25 such months to the _Dieteris_: and according to the number
of days in the Calendar year of the _Greeks_, _Demetrius Phalereus_ had 360
Statues erected to him by the _Athenians_. But the _Greeks_, _Cleostratus_,
_Harpalus_, and others, to make their months agree better with the course
of the Moon, in the times of the _Persian_ Empire, varied the manner of
intercaling the three months in the _Octaeteris_; and _Meton_ found out the
Cycle of intercaling seven months in nineteen years.

The Ancient year of the _Latines_ was also Luni-solar; for _Plutarch_ [57]
tells us, that the year of _Numa_ consisted of twelve Lunar months, with
intercalary months to make up what the twelve Lunar months wanted of the
Solar year. The Ancient year of the _Egyptians_ was also Luni-solar, and
continued to be so 'till the days of _Hyperion_, or _Osiris_, a King of
_Egypt_, the father of _Helius_ and _Selene_, or _Orus_ and _Bubaste_: For
the _Israelites_ brought this year out of _Egypt_; and _Diodorus_ tells
[58] us that _Ouranus_ the father of _Hyperion_ used this year, and [59]
that in the T