
2002 August 31(Saturday)
MODIFIED: DIVIDE BY SIX (6) LEAP YEAR RULE
In
modifications of my earlier attempts of 128 year/53 Leap Weeks, and
896year/159 Leap Week Rule, several CALNDRL people ¾ especially Engel S. Victor, Amos Shapir, Palmen KEV Karl pointed to several schemes: 62yr/11LW, 293yr/52LW,
417yr/74LW, 2147yr/ 381LW and 3150yr/559LW efforts. The choice of
417year/74Leap Weeks appealed me, to merge the Divide by SIX (6) Rule using
2x417year/148LW. The following Table for TEN (10) Additional Leap Week Cycles
(for YEARS other than those divisible by SIX(6), during each 834years span, is
placed:
ADDITIONAL INTERCALARY LEAP WEEKS
YEARS AD 
834  Year Cycle 
Years during which Additional LEAP YEARS *(53rd Week) shall also
fall 

FROM 
TO 
# I thro X 
1 
2 
3 
4 
5 
6 
7 
8 
9 
2004 
2838 
I 
2091 
2181 
2277 
2367 
2463 
2553 
2649 
2739 
2835 
2839 
3672 
II 
2925 
3015 
3111 
3201 
3297 
3387 
3483 
3573 
3669 
3673 
4506 
III 
3759 
3849 
3945 
4035 
4131 
4221 
4317 
4407 
4503 
4507 
5340 
IV 
4593 
4683 
4779 
4869 
4965 
5055 
5151 
5241 
5337 
5341 
6174 
V 
5427 
5517 
5613 
5703 
5799 
5889 
5985 
6075 
6171 
6175 
7008 
VI 
6261 
6351 
6447 
6537 
6633 
6723 
6819 
6909 
7005 
7009 
7842 
VII 
7095 
7185 
7281 
7371 
7467 
7557 
7653 
7743 
7839 
7843 
8676 
VIII 
7929 
8019 
8115 
8205 
8301 
8391 
8487 
8577 
8673 
8677 
9510 
IX 
8763 
8853 
8949 
9039 
9135 
9225 
9321 
9411 
9507 
9511 
10344 
X 
9597 
9687 
9783 
9873 
9969 
10059 
10155 
10245 
10341 
Based on Works of: © BRIJ BHUSHAN VIJ
THE
LEAP WEEK RULE (Reworked)
An 834year span shall have 304611.9937836
days, to account 148 ‘leap weeks’. All years shall have 52 weeks, OTHER THAN
THOSE YEARS DIVISIBLE BY SIX (6), which shall have an added 53rd week
as ‘Leap Week of the Year XXXX’. In addition, only NINE (9) additional leap
weeks, need be included at a frequency of
(87,90,96,90,96,90,96,90,96) years  except only the first three (3)
years earlier (during 87th year); since 834^{th} year (i.e. year 2838)
itself happen to be divisible by SIX (6).
A
2x(90=96)year cycle has 135870.094568 days (19410.0134 Weeks) to take care of 4600.9958
Lunations; 4972.9805 Sidereal Moons and 4992.9804 draconic months of Moons.
An ‘over accounted’ error of only ONE DAY (0.000007454
day per year) shall creep into after a long period of 134161.2508728 years
(134161 years 91 days 15.10399407 hours). As against this, the Gregorian
calendar accumulates such error in 3319.846457 years.
BRIJ BHUSHAN VIJ