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With this simple table,
one can easily calculate the tzolkin designation for any Julian or
Gregorian date for some 8000 years, 3114 B.C to 4800 A.D.
1) Add up the
century year, year and month numbers for the date you wish to
convert to the tzolkin, using tables a, b and c. Then add the day of
your birth.
*Notes:
1)
In table c, the months marked (B) should be used if your
year is a leap year (see “The Julian and Gregorian
Calendars” in Chapter Two for an explanation).
2)
Negative years should be divided in such a way that the last
two figures are positive (e.g., -464 becomes -500 and +36.
Table a is consulted for -500 and Table b is consulted for
36).
3) In
Table a, two values are given for 1500, one for the Julian
calendar (J) and one for the Gregorian (G). You now have a
number that indicates the number of days elapsed since
August 11th, 3114 B.C. Long Count 0.0.0.0.0. This number is
called the Mayan Day Number, or M.D.N.
2) To find the
number coefficient of your tzolkin date, divide your M.D.N. by 13.
Multiply the decimal remainder by 13 to arrive at a whole number
remainder. Take this remainder and count forward beginning with the
number 5, using base 13 (13 is followed by 1).
For example, if your
remainder was 12: 4 + 12 = 16; 16 - 13 = 3. 3 is the number
coefficient of your date. Next, to find your day-sign, divide that
same M.D.N. by 20 and figure the whole number remainder (this can be
easily done since the multiples of 20 are obvious). Take that
remainder and count off the consecutive day-signs, beginning with
Imix. Here is a day-sign list:
1) Imix
6) Cimi 11) Chuen 16) Cib
2) Ik
7) Manik 12) Eb 17) Caban
3) Akbal
8) Lamat 13) Ben 18) Eznab
4) Kan
9) Muluc 14) Ix 19) Cauac
5) Chicchan 10)
Oc 15) Men 20) Ahau
Together with the number
coefficient previously arrived at, this is the universal Sacred
Calendar Day for your date. Considering the potential difficulties
in calculating tzolkin conversions for western dates, this is an
extremely simple method.
3) To find the
haab date, divide the same M.D.N by 365. Multiply the decimal
remainder by 365 to arrive at a whole number remainder. Count of
haab days with this number, beginning with 9 Cumhu. Since we are
figuring from the base date 4 Ahau 8 Cumhu, and 0 counting was used
in designating the first haab day as 8 Cumhu in the Tikal system,
you will need to count the haab month days from 0 - 19. Consult the
haab month-name list in Chapter Two if necessary. Consult Chapter
Four to convert any Tikal haab date to the Quiché haab.
4) Long Count
dates can also be calculated, using the same M.D.N. arrived at in
Step 1. The process is almost self-explanatory. Divide accordingly:
-
1st Long Count
place value = Baktuns of 144,000 days
-
2nd Long Count
place value = Katuns of 7200 days
-
3rd Long Count
place value = Tuns of 360 days
-
4th Long Count
place value = Uinals of 20 days
-
5th Long Count
place value = Kin (days remaining)
Example: M.D.N. =
1,803,296 (5 Cib):
1,803,296 = 12
baktuns, 10 katuns, 9 tuns, 2 uinals and 16 kin or days. Thus:
12.10.9.2.16.
In the event that you
are converting archeological Long Count dates to Western dates, the
process is reversed. First, add up the place values of your Long
Count date to arrive at a M.D.N. Then, add 584283 to this number to
find the Julian Day Number of your date. You will need to consult
some kind of table to discover which Gregorian or Julian date
corresponds with that J.D.N.
Converting
tzolkin/haab dates to Western dates is a bit more tricky, since any
tzolkin/haab date repeats every 52 haab. You would need to know the
general time frame of your date.
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Table a: Century Year
_______________________________
Year number Year number
--------------------------------
-3200 -32025 0 1136775
-3100 4500 +100 1173300
-3000 41025 200 1209825
-2900 77550 300 1246350
-2800 114075 400 1282875
-2700 150600 500 1319400
-2600 187125 600 1355925
-2500 223650 700 1392450
-2400 260175 800 1428975
-2300 296700 900 1465500
-2200 333225 1000 1502025
-2100 369750 1100 1538550
-2000 406275 1200 1575075
-1900 442800 1300 1611600
-1800 479325 1400 1648125
-1700 515850(J)1500 1684650
-1600 552375(G)1500 1684640
-1500 588900 1600 1721165
-1400 625425 1700 1757689
-1300 661950 1800 1794213
-1200 698475 1900 1830737
-1100 735000 2000 1867262
-1000 771525 2100 1903786
-900 808050 2200 1940310
-800 844575 2300 1976834
-700 881100 2400 2013359
-600 917625 2500 2049883
-500 954150 2600 2086407
-400 990675 2700 2122931
-300 1027200 2800 2159456
-200 1063725 2900 2195980
-100 1100250
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Table b: Additional Year
Table b:
Additional
Year
__________________________________________
Year number Year number Year number
------------------------------------------
0 0 34 12418 68 24837
1 365 35 12783 69 25202
2 730 36 13149 70 25567
3 1095 37 13514 71 25932
4 1461 38 13879 72 26298
5 1826 39 14244 73 26663
6 2191 40 14610 74 27028
7 2556 41 14975 75 27393
8 2922 42 15340 76 27759
9 3287 43 15705 77 28124
10 3652 44 16071 78 28489
11 4017 45 16436 79 28854
12 4383 46 16801 80 29220
13 4748 47 17166 81 29585
14 5113 48 17532 82 29950
15 5478 49 17897 83 30315
Table c: Month
16 5844 50 18262 84 30681
-----------------
17 6209 51 18627 85 31046 month
number
18 6574 52 18993 86 31411
-----------------
19 6939 53 19358 87 31776
Jan 0
20 7305 54 19723 88 32142 Jan (B)
-1
21 7670 55 20088 89 32507 Feb
31
22 8035 56 20454 90 32872 Feb (B)
30
23 8400 57 20819 91 33237 Mar
59
24 8766 58 21184 92 33603 Apr
90
25 9131 59 21549 93 33968 May
120
26 9496 60 21915 94 34333 Jun
151
27 9861 61 22280 95 34698 Jul
181
28 10227 62 22645 96 35064 Aug
212
29 10592 63 23010 97 35429 Sep
243
30 10957 64 23376 98 35794 Oct
273
31 11322 65 23741 99 36159 Nov
304
32 11688 66 24106 Dec
334
33 12053 67 24471
-----------------
------------------------------------------
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Table d:
Additional Century Years for 3000 to 4800 A.D., effectively
extending the Tzolkin Calendar to a full 20 baktun cycle:
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Table d:
-----------------------------------
Year number Year number
-----------------------------------
3000 2232504 4000 2597747
3100 2269028 4100 2634271
3200 2305553 4200 2670795
3300 2342077 4300 2707319
3400 2378601 4400 2743844
3500 2415125 4500 2780368
3600 2451650 4600 2816892
3700 2488174 4700 2853416
3800 2524698 4800 2889941
3900 2561222 |
Table e:
Century numbers to use
if Gregorian dates are used for the years -3200 to 1500 (supplement
to Table a).
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Table e:
Year number Year number
----------------------------------------------------------
-3200 -31999 -800 844583
-3100 4525 -700 881107
-3000 41049 -600 917631
-2900 77573 -500 954155
-2800 114098 -400 990680
-2700 150622 -300 1027204
-2600 187146 -200 1063728
-2500 223670 -100 1100252
-2400 260195 0 1136777
-2300 296719 100 1173301
-2200 333243 200 1209825
-2100 369767 300 1246349
-2000 406292 400 1282874
-1900 442816 500 1319398
-1800 479340 600 1355922
-1700 515864 700 1392446
-1600 552389 800 1428971
-1500 588913 900 1465494
-1400 625437 1000 1502019
-1300 661961 1100 1538543
-1200 698486 1200 1575068
-1100 735010 1300 1611592
-1000 771534 1400 1648116
-900 808058 1500 1684640
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