The Hindu calendar uses a tithi of 1/30 lunation. This tithi is not a fixed unit of time but the variable amount of time in which the moon moves 12 degrees
against the sun.
Brij has proposed an alternative tithi of 2/59 lunation, which is closer to one day. Brij has presented his tithi as a fixed unit of time slightly more than
one day (e.g. 1 338/ 326919 day ), even though the Hindu tithi is a variable period of time.
One thing Brij could think about is how many of his tithis (with I refer to as the Vij tithi) occur in one year. It is slightly less than 365.
19-year cycle has a year 29.5*235/19 = 365 – 5/38 = 364.868421… Vij tithis
448-year cycle has a year of 29.5*5541/448 = 365 – 121/896 = 364.864955… Vij tithis
334-year cycle has a year of 29.5*4131/334 = 365 – 91/668 = 364.863772… Vij tithis
3712-year cycle has a year of 29.5*45911/3712 = 365 – 1011/7424 = 364.863820… Vij tithis
The decimal fraction for 3712 year has two zeros after the final 2 shown.
If one used a year of exactly
365 – 3/22 Vij tithis one would get the 649-year cycle of 8027 months, which with 237,042 days is the shortest accurate lunisolar cycle (as found years ago on this list).
It is listed in
http://the-light.com/cal/LunisolarA.htm as the Old Lufkan cycle, because it was used in an old version of fictional Lufkan calendar. The 649-year cycle can be constructed from two 334-year cycle with one
19-year cycle removed.
Brij has suggested a Vij tithi value of 1 338/326919 days, which gives 11082 lunar months to 896 years. I have suggested 1 339/326918 days, which gives one
less tithi to the 896-year cycle and so makes it more accurate.
Also more accurate is Brij’s old suggestion of 1 1/965 days, which places 965 tithis in 138 weeks. The 649-year cycle has a Vij tithi of 1 491/473593 days.
I don’t expect the Vij tithi will be ever used in the Hindu calendar, because each month is divided into two halves of 15 tithis each. Also 30 divides into
3, 5, 6, 10 & 15 and also divides 360 degrees into 12 degrees. Perhaps the Harappa people used the Vij tithi. Brij used an Harappa drawing as evidence of this, but I’m not sure.
Friday Ace of Diamonds
From: East Carolina University Calendar discussion List [mailto:[hidden email]]
On Behalf Of Brij Bhushan metric VIJ Sent: 06 April 2017 17:09 To:[hidden email] Subject: Harappa Astronomy Re: 448-yrs/5541 moons Re: Jumbled jig-saw Re: Confusion Re: Patterns Re: Short & simple Re: (235+6Adhika) Re: ...
Karl, list sirs:
>Brij’s addition of the six 19-year cycle to >the 334-year cycle tallies for both years >and moons as shown in his calculation.
>I have pointed out that the 896-year cycle >of 11082 months is about one day or tithi >out. This is because too many 19-year >cycles have been added to the 334-year >cycles to form the 448-year cycle.
I thank you, Karl for reconciling with my calculations pointing to my (2x448)-years/11082 moons falling short by 1-Tithi/day to get right Mean Year & Mean Lunation for desired, discussed earlier also.
I recall some discussion about 3712-years cycle of 29*128-year cycle; and my calculations of 29 cycles of 896-years taking care of 'Absorbed/Extra moon' in arriving at my results, we talked.
Hindu calendar may adopt/verify my calculations; or the combination of several other 'permutations'. But You may possibly agree to credit my 448-years/5541-Lunation to be "yet another lunisolar cycle" linked to my aimed calculations for
approaching current Astronomers' Aversge MY & ML values, approaching Harappa/my calculated Tithi of 1 338/ 326919 day, sir. The value is simple: One Tithi=No.of days in 896-yrs/No. of Tithi in (11082x29 1/2) moons; also
pointing to 'exactness of 19-year cycle' known to ancient Indus people! I thank you again, sir!