Re: "In a Year of 13 Moons"



In article <ej2lsm$88g$1@xxxxxxxxxxxxxxxxxxxx>,
Prai Jei <pvstownsend@xxxxxxxxxxxxxxxxxxx> wrote:

John Schutkeker (or somebody else of the same name) wrote thusly in message
<Xns9875A96C8F48Clkajehoriuasldfjknak@xxxxxxxxxxxxxx>:

Until I read the first response, I thought that there were always 13
months in a year. If there are 12 and a fraction months in one, then
every few years that fraction will align just right so that the year
both begins and ends with a new moon (or a full one, if you prefer).
Then there are 13 "moons" in a year.

It's very nearly 12 8/19 lunar months in a year. (Actually a wee bit less,
it was more exact when the Julian calendar was in use.)

One synodic month = 29.530588853 days

29.530588853 * (12 + 8/19) = 366.800998....
29.530588853 * (12 + 7/19) = 365.246756....

A year isn't very nearly 366.8 days..... :-)

Thus the sequence
of new moon dates will repeat every 19 years (228 calendar months, 236
lunar orbits), the so-called "golden number" sequence in which each year is
allocated a number from 1 to 19. The golden number 1 is taken by years
which are multiples of 19, most recently 1995. The year 2006 has the golden
number 12.

The same fraction 8/19 is the reason why the Jewish calendar puts a 13th
month in the year eight times in a 19-year cycle.

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