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Numerical Factors and Periods Important in Mayan Calendrics

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This table is taken from Carlson, John B., "Numerology and the Astronomy of the Maya," p. 208, in Williamson, Ray A., ed., Archaeoastronomy in the Americas, Center for Archaeoastronomy, 1981. Reprinted here with the kind permission of John B. Carlson. It contains a listing of many of the numerical factors and periods of time that were important in Maya calendrical numerology.

Numerical Factors and Periods Important in Mayan Calendrics
Note Name of Period # Days/
Other Units
Mayan
Equivalent
Factor
Decomposition
Prime
Factors
  (Prime-2)-Duality 2 .2 2 2
  (Prime-3) 3 .3 3 3
  Four World Directions 4 .4 2·2 22
  Five World Directions
(Prime-5)
5 .5 5 5
dot Seven Classical Planets?
Seven Day Z Glyph Cycle
(Prime-7)
7 .7 7 7
* Venus Invisibility at
Inferior Conjuction
8 .8 2·4 23
  Glyph G Cycle
Lords of the Night
(Bolon-ti-ku)
9 .9 3·3 32
dot Trecena
Lords (or Birds) of the Day
(Oxlahun-ti-ku)
(Prime-13)
13 .13 13 13
  Veintena
Uinal
20 1.0 2·10 =
4·5
22·5
? Two Trecenas
(Half Calendar Round)
26 1.6 2·13 2·13
* 29-Day Lunation 29 1.9 [29.530,588]
29
29
* 30-Day Lunation 30 1.10 [29.530,588]
3·10
2·3·5
  Calendar Round 52 (Haab) 2.12 4·13 =
2·26
22·13
  Five Trecena Cycle 65 3.5 5·13 5·13
  (Prime-73) 73 3.13 73 73
* Palenque Moon Ration
[81 Lunations = 2,392 Days]
81 (Lunations) 4.1 9·9 34
* Venus Invisibility at
Superior Conjunction
90 4.10 3·30 =
9·10 =
2·45
2·32·5
*? [Mercury Synodic Period] 116 5.16 [115.88]
4·29
22·29
  Cycle Associated with Rain God
[Mercury Synodic Period?]
117 5.17 [115.88]
9·13
32·13
* Venus Visibility as
Morning Star
236 11.16   22·59
* Venus Visibility as
Evening Star
250 12.10   2·53
  Sacred Almanac
Tzolkin
260 13.0 9·29 - 1 =
4·65 =
13·20
22·5·13
* Tun
Chronological Year
360 1.0.0 18·20 23·32·5
* Computing Year 364 1.0.4 4·91 =
13·28 =
7·52
22·7·13
* Haab, “Vague Year,”
Calendar Year
365 1.0.5 [365.2,422]
4·91 + 1 =
18·20 + 5 =
5·73
5·73
*? [Saturn Synodic Period] 378 1.0.18 [378.09] 2·33·7
*? [Jupiter Synodic Period] 399 1.1.19 [398.88] 3·7·19
  Twenty Squared 400 1.2.0 20·20 24·52
* Mayan Eclipse Cycle 405 (Lunations) 1.2.5 5·81 =
3·135
34·5
* Double Sacred Almanac
Triple Lunar Half-Node Cycle
520 1.8.0 [173.30,906]
3·(173.3) =
2·260
23·5·13
* [Venus Synodic Period] 584 1.11.4 [583.92]
8·73
23·73
  585-Day Cycle 585 1.11.5 584 + 1 =
5·9·13 =
5·117
32·5·13
* Half Year Drift Cycle 754 (Years) 2.1.14 ½(1,508 Calendar Years) =
(14·5)·52 (Years)
2·13·29
* Triple Sacred Almanac
[Mars Synodic Period]
780 2.3.0 [779.94]
3·260
22·3·5·13
  819-Day Cycle 819 2.4.19 3·273 =
13·63 =
9·91 = 7·117
32·7·13
*? Year Drift Cycle 1,507 (Tropical Years) 4.3.7 11·137 11·137
*? [1,507·(365.2,422) = 1,508·365]
Year Drift Cycle
1,508 (Calendar Years) =
550,420 Days
4.3.8 2·754 =
29·52
2·13·29
  Seven Sacred Almanac/
Five Computing Year Cycle
1,820 5.1.0 7·260 =
5·364
22·5·7·13
  Nine Sacred Almanac/
Twenty 117-Day Cycle
2,340 6.9.0 20·117 =
20·9·13 =
9·260 =
4·585
22·32·5·13
* Palenque Moon Ratio
[81 Lunations]
2,392 6.11.12 81·(29.530,586) 23·13·23
* Five Venus Years/
Eight Calendar Year Cycle
2,920 8.2.0 5·584 =
8·365
23·5·73
  Four 819-Day Cycle 3,276 9.1.16 9·364 =
4·819
22·32·7·13
  Katun 7,200 1.0.0.0 20·20·18 =
20·360
25·32·52
* Mayan Eclipse Cycle
[405 Lunations]
11,960 1.13.4.0 46·260 =
5·2,392 =
5·81·(29.530,586)
23·5·13·23
  Twenty 819-Day Cycle 16,380 2.5.9.0 5·3,276 =
20·819 =
45·364
22·32·5·7·13
  52 Tun/
72 Almanac Cycle
18,720 2.12.0.0 52·360 =
72·260
24·32·5·13
  Calendar Round
52 Haab/73 Almanac Cycle
18,980 2.12.13.0 52·365 =
73·260
22·5·13·73
* Great Venus Cycle
104-Year Cycle
37,960 5.5.8.0 2·18,980 =
65·584 =
2·52·365 =
104·365 =
2·73·260 =
146·260
23·5·13·73
  Baktun 144,000 1.0.0.0.0 20·20·20·18 =
400·360
27·32·53
* Half Calendar Year
Drift Cycle
275,210
754 (Years)
1.18.4.8.10 365·754 =
365·26·29
2·5·13·29·73
* Calendar Year Drift Cycle:
1,508 (Calendar Years)
1,507 (Tropical Years)
14.5 (Great Venus Cycles)
29 (Calendar Rounds)
550,420 3.16.8.17.0 [(1,507)·(365.2,422)] =
1,508·365 =
2,117·260 =
4,745·116 =
(942.5)·584 =
18,980·29 =
(14.5)·37,960
22·5·13·29·73
* Double Calendar Year
Drift Cycle:
29 (Great Venus Cycles)
58 (Calendar Rounds)
1,100,840 7.12.17.16.0 2·365·1,508 =
2·550,420 =
1,885·584 =
3,016·365 =
4,234·260 =
9,490·116 =
18,980·58 =
37,960·29
27·5·13·29·73
  Thirteen Baktun 1,872,000 13.0.0.0.0 13·20·20·360 27·32·53·13

John B. Carlson, photo © 1997 Ivan Van Laningham
John B. Carlson

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