webexhibits.org writes:
“The Jewish calendar is a combined solar/lunar
calendar, in that it strives to have its years coincide with
the tropical year and its months coincide with the
synodic months. This is a complicated goal, and the
rules for the Jewish calendar are correspondingly
fascinating.”
I think this is an incredible thing. By having a seven day
week (the Torah) we are able to have twelve four week
months where twelve is the most divisible number by
whole numbers, for its size. Like this there are twelve
new moons between the time it takes for the Earth to go
about the sun once, close to it. There are 13, but (12/
13)100=92% accuracy.
I did a little number juggling and found that,
Earth-moon distance: 3.84E10cm=R
Earth-sun distance: 1.496E13cm=r
Earth radius: 6.38E8cm=E_r
Moon radius: 1.738E8cm=M_r
(E_r)/(M_r)=11/3 r/R=4675/12
((E_r)(r))/((M_r)(R)(360))=4
This last equation is significant because,
360 are the degrees in a circle and
4 weeks is a complete revolution of the moon
about the earth more or less (time between new
moons). 360 degrees are
convenient for the units in which to divide a circle,
because of its divisible properties. (i.e. it is divisible by
120, 60, 45, 30, and 90, into whole numbers which are
the angles in special
triangles.)
Is what this last equation says is that the radius of the
earth compared to the radius of the moon, by a factor of
the earth-sun distance compared to the earth-moon
distance, is equal to 360 times four. It just so happens
that after four 360 degree rotations of the earth around
the sun, we have a leap year to make the whole
calendar work!!!
Also, 360 plus 4 is the Earth year.
If you consider that the Earth, Moon and Sun formed
from a cloud of gas and dust under its own gravity over
perhaps billions of years, this is quite an extraordinary
arrangement to have occurred.
Consider that the earth-moon distance (EM) is to the
solar radius (SR) as silver (Ag) is to gold (Au). Here is
the calculation:

EM/SR=3.84E10cm/6.9599E10=0.55

Ag/Au=107.9/197.0=0.55

Ag and Au are the molar masses of silver and gold
respectively. These masses are their relative masses
for one atom of each, they do not vary, for all practical
purposes, from sample to sample on Earth no matter
where the samples were found. Of course gold and
silver are the precious metals most used to make fine
jewelry. In astrology they have been traditionally the
representative elements for the moon and sun
respectively, not because of the last relationship, but
because of their colors.
Also, the moon as seen from the Earth appears to be
the same size as the sun, nearly, allowing for an
eclipse of the main solar body so that its outer
atmosphere can be studied.
It would seem the mechanics of the Earth-moon-Sun
system are structured in harmony with the most elegant
of abstract symbolic dynamics, we even structured our
systems in accordance with this harmony before we
could ever know it existed, most likely because we
wanted to divide cycles in a pragmatic manner. That the
two are in accordance speaks of the existence of a
wonderful mystery, for which we yet have answers.
Though this structure will change and has not always
been this way, It has been this way over geologic time
while the Titius-Bode rule holds, that predicts the
distribution of the planets about the sun, their average
orbital radii, as a geometric progression up to Pluto
excluding Neptune and counting the asteroid belt as a
planet torn apart by Jupiter's gravity.

"Also, 360 plus 4 is the Earth year."

Well close to it. A hair over 365, but (364/365)100=
99.7% accuracy.

--Ian