You need to use the same tithi value in each of your calculations to be consistent. If you did this you'd get
1. 1 339/326918 day x 326918=327257d;
2. 1 338/326919 day x 326919=327257d
3. 1 336/326921 day x 326821=327257d
Every one of these tithi values fits square into 896-years! The numbers 326918, 326919 & 326921 are the number of tithis in 896 years for each of the 3 tithi lengths.
The general tithi value is 1 + n/(327257-n) for any integer n.
All regardless of accuracy fits square in the 896-year cycle. If one uses a day-long tithi the annual correction is n/896 days. 339 is the most accurate n and 335 is the n closest to putting 6932.5 tithis into 19 mean years of the 896-year cycle.
(19/896)*326922 = 6932.497768...
(19/896)*326923 = 6932.518973...
I calculated the exact tithi for the 19-year cycle for a mean year of 365.2421875 used by the 896-year cycle. It does not fit square in the 896-year cycle but does fit square in 19 896-year cycles or 19 128-year cycles.
However the 19-year cycle is about 2 hours out, so why do you think its important?
Wednesday Alpha May 2020
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