Re: Date and time on Cindu: yearly update

Ok, so you gave the Cindu time at midnight - let's say UTC - at the
onset of May 23, 2008.  That's UNIX time 1,211,500,800 - that many
seconds since midnight GMT at the onset of January 1, 1970.

The Cindu time was 0514 hrs on the 4th day of the 4th week of the 4th
month, year 757.

That means that since the epoch of the Cindu New Count, 756 full years
have elapsed. That includes 756/19 = 39 full leap year cycles, each of
which adds an extra three days.  Finally, two leap years have occurred
in the current cycle.  So those 756 years comprise 756 × 464 + 39 × 3
+ 2 = 350,903 days.

Within the current year, three full months, and three full weeks have
elapsed.  Additionally, we are past the middle of the fourth month, so
its weekless day has passed, and three more complete days have elapsed
in the current week.  So that's another 3 × 29 + 3 × 7 + 1 + 3 = 112
days.

So 351,015 Cindu days have elapsed, and our reference time is on day
351,016 of the New Count.

It's 0514 hours, but the day starts with 0100, not 0000, so only four
hours of the day have elapsed. Four hours of 50 minutes is 200
minutes, plus 14 is 214 minutes, or 21,400 seconds into the day. We're
somewhere unspecified in that last minute, so call it 21,450±50.

So UNIX time 1,211,500,800 in Earth seconds maps to New Count time
35,101,521,450 ± 50 in Cindu seconds.

A mean Cindu year is 489.13 Earth days, or 42,260,832 Earth seconds.
That same period is 464.158 Cindu days, or 46,415,800 Cindu seconds.
That means that, to a ridiculous level of precision, 1 Earth second =
1.098317231426 Cindu seconds, and 1 Cindu second is 0.91048375768596
of an Earth second.

UNIX time zero therefore fell somewhere between Cindu New Count times
33,770,909,195 and 33,770,909,295.  I will choose 33,770,909,200 as a
nice round number.  It should therefore be possible to determine the
current Cindu time by taking the current UNIX time, multiplying by
1.098317231426 or so, and adding to 33,770,909,200; then convert to
conventional Cindu dating.

Let's start by converting the epochal time itself, Jan 1 1970 at midnight GMT:

Thanks to the decimal nature of Cindu time it's obvioius that
33770909200 seconds maps to 337709.092 days, or 0.092 days into day
337710 of the New Count.  0.092 day is 0242 hours, but what date?

Well, 337,709 completed days is 38 complete 8,819-day leap cycles of
19 years each, plus another 2,587 days. 2587/464 is more than 5 years,
including one leap year; 5 × 464 + 1 = 2,321 days; and subtracting
2,321 from 2,587 leaves 266 days into the year, which must be 38×19 +
6 = 728 of the New Count.

266 days is 9 months with 5 days left over, and 0.092 day maps to 0242
hours.  So January 1, 1970 at midnight GMT was day 6 of week 1 of
month 10 of year 728 at 0242 hours.

Should be pretty easy to automate; if I manage to follow through this
time, I'll send you something.  You use Windows, right?

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