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Mayan Seasonal Almanac

Defines: 
Mayan astronomy
Keywords: 
Mayan mathematics
Synonym: 
Mayan math
Major Section: 
Reference
Type of Math Object: 
Definition

Mathematics Subject Classification

01A12 no label found

Comments

Four double calendar round periods, each 37960 days, have be scaled into the raw seasonal almanac data. Four new doors to Mayan calendar building offers two calendar round periods in parallelPlanetmathPlanetmath and likely in series by first considering 260 day lunar, 520 day eclipse and 364 solar cycles.

Four two-calendar-rounds offers a third level of the text. The Madrid Codex offers a more complex nine-calendar round context scaled to LCM 260, 360 = 4680 = 18(260) = 13(360) = 6(780), LCM 365, 360 = 9 CR, LCM 365, 260 = 1 CR, LCM 365, 584 = 2920 = 8(365) = 5(584), LCM 365, 780 = 3 CR and LCM 365, 585 = 42705 = 117(365) = 73(585.)

Clarifing

Fourth, on level three of the Drsden and the Madrid codicies, LCM (a, b, c) combinations of 260, 360, 364, 365, 584, 585 and 780 offers an interesting distributionPlanetmathPlanetmath: 2340 (1), 4680 (2), 5460 (1), 16380 (2), 26280 (1), 32760 (3), 2-CR (1), 3-CR (1), 6-CR (2), 7-CR (1), 9-CR (2), 14-CR (2), 18-CR (6), 21-CR (1), 42-CR (2), 63-CR (1), and 126-CR (3).

Fifth, on level three of the Dresden and Madrid, LCM (a, b, c, d) combinations of 260, 360, 364, 365, 584, 585 and 780 offers another interesting distribution: 32760 (1), 6-CR (1), 9-CR (1), 14-CR (1), 18-CR (5), 21-CR (2), 42-CR (2), 63-CR (2), and 126-CR (7),

with CR = 18980 DAYS attests to Mayan mathPlanetmathPlanetmath methods.

The Madrid Codex has long been known as a Mayan calendar round text. Cyrus Thomas suggested in 1900 that Madrid quotients be scaled by 360. The following link scales Dresden Codex quotients by 400 implying that Madrid 3650 and 4680 data points were scaled by lunar, earth, Venus and Mars cycles and 3-calendar and 7-calendar rounds per: LCM (260, 360) = 4680 = 18(260) = 13(360) = 6(780), LCM (365, 364) = 7 CR, LCM (365, 260) = 1 CR, LCM (365, 584) = 2920 = 8(365) = 5(584), LCM (365, 780) = 3 CR, and LCM (365, 585) = 42705 = 117(365) = 73(585). http://planetmath.org/mayanseasonalalmanac

What is new related to the Dresden Codex is that several Madrid data points were scaled to lunar, earth, Venus and Mars cycles and explicitly to Jupiter (399, 1432) per long count numbers:

4.4.4.4 = 30824 = 76(399) = 7(4332)

6.6.6.6 = 45486 = 114(399)

7.7.7.7 = 53067 = 133(399)

8.8.8.8 = 61648= 152(399) = 14(4332)

11.11.11.11 = 83391 = 209(399)

13.13.13.13 = 98553 = 247(399)

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