13th removed from all but 1 in 13 months RE: FORMAT Fwd: Indus-Tithi calendar Format (13th removed from all months) of Brij's Gregorian Modified cal-Format

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13th removed from all but 1 in 13 months RE: FORMAT Fwd: Indus-Tithi calendar Format (13th removed from all months) of Brij's Gregorian Modified cal-Format

Karl Palmen

Dear Brij and Calendar People

 

I do remember exploring the idea of converting a solar calendar into a lunar calendar by removing the 13th day of each month and possibly adding leap months to make it lunisolar.

 

The most interesting result of this exploration was that if we add leap months of 31 days from which the 13th is normally removed, about 1 in 13 months must keep the 13th and this is exact for the 391-year cycle of 144 leap months.

 

In any such case there must be exactly 31 months that have no 13th for each leap month, so that the lunisolar calendar does not drift against the solar calendar, which has no 13ths removed and no leap months.

So the 391-year cycle has 31*144 months with the 13th removed and hence 12*391 + 144 – 31*144 = 12*391 – 30*144 = 372 months keep the 13th. The 391-year cycle has 391*12 + 144 = 4836 = 13*372 months, so this 372 is exactly 1 in 13 months.

 

Brij’s 896-year cycle of 11082 months has 11082 – 12*896 = 330 leap months and so 10230 months have a 13th removed and so 11082 – 10230 = 852 month keep the 13th. This works out is 1 in 13.00704… months. For the more accurate 334-year cycle we get 4131 – 31*123 = 318 months that keep the 13th, which is 1 in 12.99057… months.

 

For the 19-year Metonic cycle, 235 – 7*31 = 18 months keep the 13th and in the truncated 11-year Metonic cycle, 136 – 4*31 = 12 months keep the 13th . Hence in general, the number of months that keep the 13th is equal to the number of years less the number of saltus lunae corrections, which is listed in my lunisolar spreadsheets.

http://the-light.com/cal/kp_Lunisolar_xls.html

 

Karl

 

16(08(02

 

From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Brij Bhushan metric VIJ
Sent: 29 March 2017 04:10
To: [hidden email]
Subject: FORMAT Fwd: Indus-Tithi calendar Format (13th removed from all months) of Brij's Gregorian Modified cal-Format

 

Walter, Karl list, sirs:

This format of my Harappa Tithi-Lunar calendar was discussed during my proposed 'Tithi value of 966days/965 published and compared with several other values: 2L/59, 1/30, 1/29, 138w/965 and later fixed at 1+338/326919 day. It's simplicity as desired was arrived at: One Tithi= No.of days in 896-years/No. of 'tithi' in (11082 moons x 29 1/2 tithi) i.e. 327257/326919 day falling short of 1 Tithi "added as Adhika in 11082nd moon" making this a perfect lunisolar combination of my 896-years.

The format had been projected during my mails for 'count of solar days' by removing the 13th Day of every Gregorian month, as reproduced: as the possible 30,29 day (two lunations having 59-Tithi) - to result in 354-Tithi in a synodic month.

Current year Y2017 is 97th after {(Y2000 +/-80) div.128=Y1920}. This is 23747 moons from Y0000, for using Gregorian names of months (as an alternate to current regional names of seasons matching with moon position).

896-year cycle is "2 x 448-years", each with 5541-moons. The format is a part in my compendium as "OUTPUT of Research & Contributions - 1971..... a Surest, Easiest & Cheapest way out.

There may be (461x12)+9-13th added month= 5541) moons in 448-years. 

Regards,

Brij Bhushan metric VIJ

Author, Brij-Gregorian Modified calendar

Tuesday, 2017 March 28H20:16 (decimal)

 

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Begin forwarded message:

From: Brij Bhushan metric VIJ <[hidden email]>
Date: March 27, 2017 at 9:41:16 PM MST
To: Brij B Vij <[hidden email]>
Subject: Indus-Tithi calendar Format (13th removed from all months) of Brij's Gregorian Modified cal-Format

Forwarding from my Photo Album


Brij B. Vij
Author, Brij-Gregorian Modified calendar

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(235+6Adhika) Re: 13th removed from all but 1 in 13 months RE: FORMAT Fwd: Indus-Tithi calendar Format (13th removed from all months) of Brij's Gregorian Modified cal-Format

Brij Bhushan metric VIJ
Dear Karl, list sirs:
>Brij’s 896-year cycle of 11082 months has ><a href="tel:11082%20-%2012" dir="ltr" x-apple-data-detectors="true" x-apple-data-detectors-type="telephone" x-apple-data-detectors-result="0">11082 – 12*896 = 330 leap months and so >10230 months have a 13th removed and so ><a href="tel:11082%20-%2010230" dir="ltr" x-apple-data-detectors="true" x-apple-data-detectors-type="telephone" x-apple-data-detectors-result="1">11082 – 10230 = 852 month keep the 13th. >This works out is 1 in 13.00704… months. >For the more accurate 334-year cycle we >get 4131 – 31*123 = 318 months that keep >the 13th, which is 1 in 12.99057… months.

I thank you, and the list for re-elavuating my calculations; but I stand put with my 'tithi' value of: No.of days in 896/years/No.of Tithi in (11082x29 1/2) or 326919=1 338/326919 day. This fits in 896-years, 834-years & my 19-years 'harappa-tithi' cycles. 
    "896-years have 327257 days in 11082 moons but ONE day/Tithi of 1 338/326819 day short. Adding 'this' ONE added/ 'Adhika day' in the cycle result in Mean Lunation={(327257+1)/ 326919) =29.530590146183 days} i.e.29d 12h 44m 2s.9887. 

This cycle may have (2x448)-years of (2x5541) moons; accounted as [(12*241)- 1]+[(11*241)-1]= 2891+2650= 5541 moons to give the right (above) Mean Lunation.

The ERA may start at the beginning of Kali Era on 3102BCE making the year, Y2018=5120th or the last year of (40th*128-year) cycles.

This may be Noted, that 19-years have 235 moons BUT adding "six(6) Ksha-moons to be deleted ONCE every 3-years " make the required (241-6= 235) moons per 19-year cycle. 

Thus, [(12*241)-1+(11*241)-1];

are {(2x5543)-2} ie (23x241) moons per 448-years [23*241 =5543 lunation].

This produces Mean Lunation of 29d 12h 44m 2s.9887 in comparison to the current moon duration. 

Regards, 

Brij Bhushan metric VIJ, Author, Brij-Gregorian Modified calendar

Wednesday, 2017 March 29H14:11 (decimal)

Sent from my iPhone

On Mar 29, 2017, at 5:05 AM, Karl Palmen <[hidden email]> wrote:

Brij’s 896-year cycle of 11082 months has 11082 – 12*896 = 330 leap months and so 10230 months have a 13th removed and so 11082 – 10230 = 852 month keep the 13th. This works out is 1 in 13.00704… months. For the more accurate 334-year cycle we get 4131 – 31*123 = 318 months that keep the 13th, which is 1 in 12.99057… months.
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