
This email originated from outside ECU. 
Dear Brij
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 896years!
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/(327257n) for any integer n.
All regardless of accuracy fits square in the 896year cycle. If one uses a daylong 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 896year cycle.
(19/896)*326922 = 6932.497768...
(19/896)*326923 = 6932.518973...
I calculated the exact tithi for the 19year cycle for a mean year of 365.2421875 used by the 896year cycle. It does not fit square in the 896year cycle but does fit square in 19 896year cycles or 19 128year cycles.
However the 19year cycle is about 2 hours out, so why do you think its important?
Karl
Wednesday Alpha May 2020
 Original Message 
From: "Brij Vij" <[hidden email]>
To: "[hidden email]" <[hidden email]>; "East Carolina University Calendar discussion List" <[hidden email]>
Cc: [hidden email]
Sent: Tuesday, 28 Apr, 2020 At 18:41
Subject: Progressive Count Re: Tithi Duration? Re: Daylong tithi Re: Evaluation of Tithi 896years Re: 19year cycle & 896years Re: Harappa Astronomy Re: 448yrs/5541 moons Re: : ...
Karl, sir:
>This happens more often than the leap day, which is about once every 1508 days on average, hence there are less than 365 tithis in a year.
My calculations also show, there shall be 365.252189669781/Tithi value=1 335/326922 d I.e. 1.001024709257866 , which is 364.86830574 Tithi
per year!
As you may have noticed, count of 326922 Tithi are EXACTLY 327257.00 days using THIS tithi value (1 335/326922 day), my presented position(calculations) does not change. Other value pointed by you show:
1. 1 339/326918 day x 326922=327261.00415 d;
2. 1 338/326919 day x 326922=327260.003102d
3. 1 336/326921 day x 326822=327258.001025d
Tithi 1 335/326922 day =24h 1m 28s.53488 fits square in 896years; and agree to
335/896= 0.373883928571429 day.
I may be lacking in ‘explaination’ per Astro terms. But, expect my calculations to agree with “axial turn of moon about Earth causing phases /Tithi”.
Regards,
Flt Lt Brij Bhushan Vij (Retd.), IAF ✈️
Tuesday, 2020 April 28H10:67 (decimal)
Sent from my iPhone
Karl, sir:
My working has been based on the use of ‘continued increment of tithi value’ on daytoday basis I.e. ON END OF ONE TITHI THE NEXT ONE FOLLOWS, as you see in the diagram sent earlier
<image0.jpeg>
Karl has done the similar thing of ‘considering a tithi of ONE DAY’ and correcting the residue at the end of year, which is similar to the one, as has been shown.
My point is the use of Tithi value=1 335/326922 d =1.001024709257866 and make NO yearly correction BUT KEEP continued count (instead correcting the balance 0.374018879121014 day or 335/326922day.
This is somewhat similar to 1 335/326922X 326922 =327257 days of 896year.
Ancient Indians have been making use of Tithi duration of Sunrise to next Sunrise or as Karl says ONE DAY: Where is the problem in using THIS EXTENDED Tithi =1day 1m 28s.5348798796 I.e. 1 335/326922day? My extension of 0.48287326 day in 448year/5541 moons
too meant the same thing, I suppose!
I was NOT yet wanting to construct the TWO halves of 29 1/2 div. 2=(dark half + bright half) of moon; each in 14+0.75 Tithi in progressive count. This would also approximate to 30 Tithi used earlier  correcting at 14.76529443 days making for dark or bright
half of Moon. My above working should reveal this, sir. The additional corrections too is similar, I fear?
I thank you, sir for verifying my Results!
Regards,
Flt Lt Brij Bhushan Vij (Retd), IAF ✈️
Monday,2020 April 27H12:37(decimal)
Sent from my iPhone
Dear Brij
I have suggested using a tithi that lasts exactly one day for each year and correcting this tithi at the end of the year. So every tithi begins at the same time of day in the same year.
Each correction lengthens the tithi that spans the new year moment, so that the mean tithi is accurate. I've worked out the annual correction for various mean tithis:
Mean tithi 1 339/326918 days, has annual correction of 339/896 day (accurate)
Mean tithi 1 338/326919 days, has annual correction of 338/896 day (needs additional corrections)
Mean tithi 1 335/326922 days, has annual correction of 335/896 day (needs additional corrections)
and also
Mean tithi 1 336/326921 days, has annual correction of 336/896 day = 3/8 day = 9 hours (needs additional corrections)
Karl
Monday Alpha May 2020
 Original Message 
From: "Brij Bhushan metric VIJ" <[hidden email]>
To: "[hidden email]" <[hidden email]>
Cc: "[hidden email]" <[hidden email]>
Sent: Saturday, 25 Apr, 2020 At 02:11
Subject: Re: Evaluation of Tithi 896years Re: 19year cycle & 896years Re: Harappa Astronomy Re: 448yrs/5541 moons Re: : ...
Dear Karl, sir:
I have NO desire to compete with Astronomers or Astromathematicians but proving my point that it shall be easier to COUNT number of days between any TWO events/dates and calculate elapsed Moons&No. of Tithi’s=1 335/326922 in my calculations to form a
calculator like the LCEF
> 1936 Apr.08 thro 2020 Apr.10th=30682 >days/1039th dark moon/(15+14th phase >
>>(chaturdashi)  1,039.002096959878th Moon or
>(30648th: 1 335/326822 day Tithi/phase).
However, if Karl’s desire is to draw in tabulated form of All Moons (??????).
<image.jpg>
I thank Karl for his comments, which other astronomers and/or mathematical experts can verify  I stand by for my results demonstrated.
Flt Lt Brij Bhushan Vij (Retd.), IAF ✈️
Friday, 2020 April 24H18:16 (decimal
Sent from my iPhone
Dear Brij
I looked at your tithi value of 1 335/326922 days and see it is even less accurate than the 1 338/326919 days you suggested earlier. I think its an attempt to fit it with the 19year cycle, which is 2 hours out per cycle and so 4 days out per 896year cycle
(2*896/19 = 94.3... hours, about 4 days).
I have suggested an accurate tithi 1 339/326918 days, which places exactly 11082 month less one tithi in 896 years.
The 4day error of the 19year cycle would change it to the 1 335/326922 you calculated. This places 11082 months plus 3 tithis in 896 years.
However one advantage of a tithi of 2/59 months is that one can approximate it to 1 day for a whole year before correcting it. I decided to see what would happen if one had the simple but not very accurate annual correction of 9 hours. For the 896year cycle,
I get a mean tithi (including annual corrections totalling 336 days) of 1 336/326921 days. This is more accurate than the 19year cycle (or 1 335/326922 days) but not as accurate as 1 338/326919 days. An accurate annual correction would need a few minutes
added to the 9 hours.
Again I think it is important to USE YOUR TITHI EVERY DAY, before asking others to use it. Use it every day to count the tithis for reckoning the moon phase, and work out the time each new tithi begins (you can use your decimal time for this).
Karl
Friday Delta April 2020
 Original Message 
From: "Brij Bhushan metric VIJ" <[hidden email]>
To: "[hidden email]" <[hidden email]>
Cc: "[hidden email]" <[hidden email]>; "[hidden email]"
<[hidden email]>
Sent: Thursday, 23 Apr, 2020 At 15:36
Subject: Re: Evaluation of Tithi 896years Re: 19year cycle & 896years Re: Harappa Astronomy Re: 448yrs/5541 moons Re: : ...
Karl, sir:
Possibly you have NOT understood my value’ simplicity.
1 TITHI=Number of days in the year/No of tithi’s in Moon’s x 29.5. In this case 327257 days in 896years/326922 {(11082x29.5)+3}. Thus, 3 is from Numerator (338) brought down & added to 326919; Thus: 1 335/326922 x 326922= =327257 days in 896years.
Also, 1.001024709 257866 x 326922 Tithi=327257 days in 896years.
Another way, is to calculate No. of 19year cycles in 896years (896years=(47+ 37/235) 19year cycles. Thus, {47 37/235 x No of Tithi (in 235 moons)}=47 37/235 x 6932 1/2= 326922 Tithi or (326,922.
1052631579 Tithi).
Now, 19years have 235 moons x29 1/2=6932 1/2 Tithi, other than the 2h 05m imbedded difference between Sun & Moons. This is : 1.001024709257866 day x 6932.5 Tithi= 6,939.603796930155days/365.242189669781=19.00000600479457years!
In my 448years/5541 moons, I suggested to ADD 0.49287326 day in order to adjust Mean Moon=29d 12h 44m 2s.877504 (29.53058886 days moon to moon). In this case, there is NO ADDITION/ADJUSTMENTS. Value for Moons per year=12.36826638985556.
I thank you for making me REDO all my calculations, since my Google calculator has been playing with me. I hope my figures have NOT CHANGED, after hitting SEND command.
As you might observe, there is NO COMPLICATION IN DETERMINATING TITHI VALUE=327257/326922 day or 1 335/326922 d.
Regards,
Flt Lt Brij Bhushan VIJ (Retd.), IAF ✈️
Thursday, 2020 April 23H07:59 (decimal)
Sent from my iPhone
Dear Brij
Thank you for your reply. When you have something for the list try to send it and forward to me any Email you get back from the list server.
You suggested a tithi of a complicated length, which would be corrected once every 448 years. I thought about how the tithi would be used from day to day. Have you tried using your tithi day by day?
I think it would be very tedious. So why not use a tithi of exactly 1 day and correct it once a year?
If Y is the number of days in the mean year of your calendar (e.g.
365.2421875) and
T is the number of days in the mean tithi (e.g. 966/965). Then the annual correction is equal to
Y*(T1). Using my examples, this works out to be about 0.37848913... days and so 9.0837435... hours. You can try this with other tithi values.
You can then add this correction to the last tithi beginning in the year to postpone next year's daylong tithis by the amount of the correction. This will be much easier to use in practice than a more accurate tithi length day by day.
Karl
Thursday Delta April 2020
 Original Message 
From: "Brij Bhushan metric VIJ" <[hidden email]>
To: "[hidden email]" <[hidden email]>
Cc: "[hidden email]" <[hidden email]>
Sent: Thursday, 23 Apr, 2020 At 10:57
Subject: Re: Evaluation of Tithi 896years Re: 19year cycle & 896years Re: Harappa Astronomy Re: 448yrs/5541 moons Re: : ...
I thank you Karl:
All I now expect is that whenever IDEAS on Refirm of the Cakendar are duscusssed, my demonstrated results are also made a part of discussions and accordingly CREDITED. However, I do not think I did ‘remove’ myself & deleted from the list server. I was facing
some problems earlier of mail NOT GETTING CLEARED. AND, then one day I got a message that McCarthy, Richards  perhaps list administrator had done so.
As you think, it could be my second email: [hidden email] which might have caused
this, since I was also sending an additional mail as reconfirmation that mail had cleared.
I thank you again.
Should Richard, deem fit my name can be included for mail distribution like ALL OTHER list addresses, as confirmatory message having cleared.
Regards,
Flt Lt Brij Bhushan VIJ (Retd.), IAF ✈️
Thursday, 2020 April 23H02:95 (decimal)
Sent from my iPhone
