Fellow, Metrology Society of India,

Care MUNISH VIJ,

  2108 Henry Court, MAHWAH NJ  07430

E-mail:  metricvij@hotmail.com

decical_vij @ yahoo.com

       Telephone:  1-(201) 684 – 0191/ code 6696
 
    

 Bij Bhushan Vij        

      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 896-year/159 Leap Week Rule, several CALNDR-L people ¾ especially Engel S. Victor, Amos Shapir, Palmen KEV Karl pointed to several schemes: 62-yr/11LW, 293-yr/52LW, 417-yr/74LW, 2147-yr/ 381LW and 3150-yr/559LW efforts. The choice of 417-year/74Leap Weeks appealed me, to merge the Divide by SIX (6) Rule using 2x417-year/148LW. The following Table for TEN (10) Additional Leap Week Cycles (for YEARS other than those divisible by SIX(6), during each 834-years span, is placed:

        ADDITIONAL INTER-CALARY 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 834-year 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 834th 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

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