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                                                                          Addendum  (updated 3/July//05)

UPDATE: One-day discrepancy now cured. Thanks to Clare DaSidhe for help on this.

Calculating the end-point from a given Day of Creation

 

The calendrical system of the Maya was older and more complex (and accurate) than that of the Aztecs, who had forgotten the Long Count system. The Mayan "Great Cycle", or 13-Baktun cycle, which is part of the Long Count, is 1,872,000 days long, and the start date is given as August 11th 3114 BC or August 13th 3114 BC according to the 2 most popular correlations, (known as the GMT 584283 and GMT 585285 respectively). The end-date is given either as 21 December 2012 AD or 23 December 2012 AD respectively. There are many other alternative start & end-dates that I have come across since first writing this page, especially in 2011 and 2013. There is now a special 2012: Dire Gnosis article about these : End-Date Confusion Explained.

 In order to work out leap-years, the rule is a leap year must be divisible by 4, unless it is divisible by 100 - then it is not a leap year - unless it is divisible by 400, in which case it is a leap-year. The exception is 1 BC which is a leap year - plus the BC years have to converted to "astronomical years" by subtracting one year, to make up for the missing year zero, before calculation.

To work out the termination point using the GMT 584283 correlation:

 The "zero-day", or Day of Creation; 0.0.0.0.0 in The Long Count,  is 11th August 3114 BC in Gregorian calendar. This is the same as the year -3113 in "astronomer's jargon" which inserts an extra "year zero" to make BC-AD calculations simpler. Since the Gregorian calendar didn't exist then, and has to be back-calculated, it is should be more efficient to use a Julian Day number system - in this case, JD 584283. The only trouble is, the JD starts at midday, so often leads to confusion see another special 2012: Dire Gnosis explanation on the Maya Links and calculators page.

After 0.0.0.0.0 there are 1,872,000 days until the next Day of Creation, which is 13.0.0.0.0. 

We know this is 5125 years (3114 + 2012 = 5126; subtract 1 for the missing "year zero" = 5125) 3114 + 2012 - 1 = 5125

Multiply the 5125 years from 3114 BC to 2012 AD by 365, to get 1870625;                           5125 x 365 = 1870625

then dividing 5125 by 4 to get the number of "simple" leap days; (=1281-1282),               5125 / 4 = 1281.25. To determine 1281 or 1282, see yellow figs

then calculating how many century years from 3114 BC to 2012 AD are NOT leap years, by the century rule above (=39);                                     

Century Years astronomical (+ 1 to convert to Gregorian for BCE years)    LEAP YEAR? (divisible by 400)     Non-leap year tally     Simple leap years        total

3113 BC, 3109 BC, 3105 BC, 3101 BC                                                                                                                                           4               4

-3100  (3101 BC)                                                                                  NO                                                   1                                 

                                                                                                                                                                                                          25             29

-3000  (3001 BC)                                                                                  NO                                                    2

                                                                                                                                                                                                          25             54

-2900  (2901 BC)                                                                                   NO                                                   3

                                                                                                                                                                                                           25            79

-2800  (2801 BC)                                                                                  YES                                                   -

                                                                                                                                                                                                           25           104

-2700  (2701 BC)                                                                                   NO                                                   4

                                                                                                                                                                                                           25           129

-2600  (2601 BC)                                                                                  NO                                                    5

                                                                                                                                                                                                           25           154

-2500  (2501 BC)                                                                                  NO                                                    6

                                                                                                                                                                                                           25            179

-2400  (2401 BC)                                                                                   YES                                                  -

                                                                                                                                                                                                           25            204

-2300  (2301 BC)                                                                                    NO                                                  7

                                                                                                                                                                                                           25            229

-2200  (2201 BC)                                                                                    NO                                                  8

                                                                                                                                                                                                           25            254

-2100  (2101 BC)                                                                                    NO                                                  9                                

                                                                                                                                                                                                           25            279

-2000  (2001 BC)                                                                                    YES                                                     -

                                                                                                                                                                                                           25            304

-1900                                                                                                       NO                                                  10

                                                                                                                                                                                                            25            329

-1800                                                                                                       NO                                                  11

                                                                                                                                                                                                             25            354

-1700                                                                                                       NO                                                   12

                                                                                                                                                                                                             25            379

-1600                                                                                                      YES                                                    -

                                                                                                                                                                                                             25            404

-1500                                                                                                       NO                                                   13

                                                                                                                                                                                                              25            429

-1400                                                                                                       NO                                                   14

                                                                                                                                                                                                              25            454

-1300                                                                                                       NO                                                   15

                                                                                                                                                                                                             25            479

-1200                                                                                                      YES                                                    -

                                                                                                                                                                                                             25            504

-1100                                                                                                       NO                                                   16

                                                                                                                                                                                                             25            529

-1000                                                                                                       NO                                                   17

                                                                                                                                                                                                              25            554

-900                                                                                                         NO                                                   18

                                                                                                                                                                                                              25            579

-800                                                                                                         YES                                                    -

                                                                                                                                                                                                               25          604 

-700                                                                                                          NO                                                   19

                                                                                                                                                                                                              25            629

-600                                                                                                          NO                                                   20

                                                                                                                                                                                                              25            654

-500                                                                                                           NO                                                   21

                                                                                                                                                                                                              25            679

-400                                                                                                          YES                                                   -

                                                                                                                                                                                                              25            704

-300                                                                                                           NO                                                   22

                                                                                                                                                                                                              25            729

-200                                                                                                           NO                                                   23

                                                                                                                                                                                                              25            754

-100                                                                                                           NO                                                   24

                                                                                                                                                                                                              25            779

0 (1BC /"year zero")                                                                                  YES                                                     -

                                                                                                                                                                                                              25            804

100                                                                                                            NO                                                    25

                                                                                                                                                                                                              25            829

200                                                                                                            NO                                                    26

                                                                                                                                                                                                              25            854

300                                                                                                             NO                                                   27

                                                                                                                                                                                                              25            879

400                                                                                                             YES                                                     -

                                                                                                                                                                                                              25            904

500                                                                                                              NO                                                  28

                                                                                                                                                                                                              25            929

600                                                                                                              NO                                                  29

                                                                                                                                                                                                              25            954

700                                                                                                              NO                                                  30

                                                                                                                                                                                                              25            979

800                                                                                                             YES                                                   -

                                                                                                                                                                                                              25          1004

900                                                                                                               NO                                                 31

                                                                                                                                                                                                              25          1029

1000                                                                                                             NO                                                 32

                                                                                                                                                                                                              25          1054

1100                                                                                                             NO                                                 33

                                                                                                                                                                                                              25          1079

1200                                                                                                             YES                                                 -

                                                                                                                                                                                                              25          1104

1300                                                                                                              NO                                                34

                                                                                                                                                                                                              25          1129

1400                                                                                                              NO                                                35

                                                                                                                                                                                                              25           1154

1500                                                                                                              NO                                                36

                                                                                                                                                                                                              25          1179

1600                                                                                                              YES                                                 -

                                                                                                                                                                                                             25            1204

1700                                                                                                               NO                                                37

                                                                                                                                                                                                               25          1229

1800                                                                                                               NO                                                38

                                     &nbs