Cancun History · Culture

The Maya Calendar: Tzolkin, Haab, Long Count and Constellations

How the Maya calendar works: the 260-day Tzolkin and its 20 day signs, the 365-day Haab and its 19 months, the 52-year Calendar Round, the Long Count and the baktun, and the 13 Mayan constellations.

The Maya watched the sky for centuries and kept track of time with astonishing precision. They did not use a single calendar but several counts running at the same time, like gears: the sacred 260-day Tzolkin, the 365-day solar or civil Haab, and the Long Count, which counted the days since the beginning of the current era.

The Maya calendar, a marvel of human intelligence: the Tzolkin, the Haab and the Long Count (infographic in Spanish: Agencias / Baktún)
The Maya calendar, a marvel of human intelligence: the Tzolkin, the Haab and the Long Count (infographic in Spanish: Agencias / Baktún)

Astronomers and architecture

Ancient codices show Maya astronomers watching the stars: the Codex Mendoza (1542) shows a seated observer looking at a group of stars, and the Madrid and Bodley codices show astronomers inside temples decorated with stars and observation instruments. In some temples the astronomer stood on a special stone to follow the movement of the sky, such as the solstices and equinoxes.

That knowledge was built into their architecture. Sites such as Tikal, Nakum, Ixkun and Uaxactún have astronomical commemoration complexes, next to the ball courts, aligned with sunrise on the solstices and equinoxes: March 21, June 21, September 21 and December 21. The most famous example is near Cancun: on the equinoxes the shadow of a serpent descends the staircase of El Castillo at Chichén Itzá, and El Caracol at the same site was an observatory.

Three counts of time

Three counts coexist in the Maya calendar: the sacred Tzolkin, the civil Haab and the Long Count. Pre-Hispanic calendars were used all over Mesoamerica, and some communities in the Guatemalan highlands and in the Mexican states of Veracruz, Oaxaca and Chiapas still keep the count of days today.

The Tzolkin, a sacred 260-day calendar

The Tzolkin has 260 days and was used above all for rituals and farming, especially the cycles of corn. It combines 20 day names, which were considered gods, with the numbers 1 to 13, like two interlocking wheels. The calendar starts on 1 Imix; then the number and the name move forward together: 2 Ik, 3 Akbal, 4 Kan… After 13 the numbers start again while the names keep going: after 13 Ben comes 1 Ix. The names repeat every 20 days and the numbers every 13, and when Imix and the number 1 meet again, 260 different combinations have gone by.

Mayan day names (kin) and their meaning

Glyph#Mayan dayMeaningInterpretation
Imix1ImixBreastStart
Ik2IkWindCommunicates
Akbal3AkbalNightThinks
Kan4KanSeedBlooms
Chicchan5ChicchanSnakePower
Cimi6CimiDeathTransformer
Manik7ManikHandRealization
Lamat8LamatCross (star)Form
Muluc9MulucMoonCleanses
Oc10OcDogFlatterer
Chuen11ChuenMonkeyMakes
Eb12EbLadderFree
Ben13BenReedExplores
Ix14IxJaguarTime
Men15MenEagleVision
Cib16CibCandleIntelligence
Kaban17KabanEarthMoves
Edznab18EdznabMirror (flint)Reflects
Cauac19CauacThunderGenerates
Ahau20AhauLord (sun)Illuminates

The interpretation of each day follows the chart "Interpretation of the Mayan Calendar"; meanings vary by source and region.

The Haab, a 365-day solar calendar

The Haab measures the solar year: 18 months of 20 days make a tun of 360 days, plus 5 days called Uayeb ("bewitched stairway") to complete the 365 days the Earth takes to go around the Sun, Kinich Ahau. The Uayeb days were considered unlucky: people rested and they were left out of the records. The Haab starts on 0 Pop: the first day of each month carried the number zero, because it was the moment the month began to rule, and days were counted from 0 to 19.

The Haab months and their dates in our calendar

GlyphMonthMeaningInterpretationApprox. dates
PopPopStraw matThe masterJul 26 – Aug 14
Wo (Uo)Wo (Uo)Little frogListen in silenceAug 15 – Sep 3
ZipZipHunterHunt the universeSep 4 – 23
Tzotz (Zotz)Tzotz (Zotz)BatInitiationSep 24 – Oct 13
TzecTzecFoundationPolished knowledgeOct 14 – Nov 2
XulXulThe endEndingNov 3 – 22
YaxkinYaxkinGreen (new) sunInner lightNov 23 – Dec 12
MolMolGatherJoin everythingDec 13 – Jan 1
ChenChenWellGo withinJan 2 – 21
YaxYaxGreenClear-minded discipleJan 22 – Feb 10
ZacZacWhiteSynthesisFeb 11 – Mar 2
CehCehDeerConjures clouds and weatherMar 3 – 22
MacMacTo closeClosing to the voidMar 23 – Apr 11
KankinKankinRipe sunWise energyApr 12 – May 1
Muan (Moan)Muan (Moan)Divine bird (owl)VisionMay 2 – 21
PaxPaxMusicTranscendsMay 22 – Jun 10
KayabKayabSong (turtle)Song and danceJun 11 – 30
KumkuKumkuOffering (granary)Cooking essencesJul 1 – 20
Uayeb (Wayeb)Uayeb (Wayeb)Bewitched stairwayWhat is missing: 5 unlucky daysJul 21 – 25

Dates follow the Maya "Xaman Ek" wheel; since the Haab has no leap year, its match with our calendar shifts over the years.

The Xaman Ek wheel: the Haab months next to the months of our calendar and the zodiac signs we know today
The Xaman Ek wheel: the Haab months next to the months of our calendar and the zodiac signs we know today

The Calendar Round: 52 years

Together, the Tzolkin and the Haab form the Calendar Round: each day has a name in both calendars, for example 4 Ahau 8 Cumku or 12 Ik 0 Pop. The same combination does not come back until 18,980 unique days, or 52 years, have gone by: the great cycle the peoples of Mesoamerica celebrated with the New Fire ceremony.

The Long Count and the baktun

To date their monuments the Maya used the Long Count, which counts the days since the beginning of the current era, set on the day 4 Ahau 8 Cumku: August 11, 3114 BC in the most accepted correlation (some authors say August 13). It is a base-20 system with one exception: a tun is made of 18 winals, to stay close to the solar year.

UnitMade ofDays
Kin11 day
Winal (Uinal)20 kins20 days
Tun18 winals360 days
Katún20 tuns7,200 days (≈ 19.7 years)
Baktún20 katuns144,000 days (≈ 394 years)
Pictún20 baktuns2,880,000 days
Calabtún20 pictuns57,600,000 days
Kinchiltún20 calabtuns1,152,000,000 days
Alautún20 kinchiltuns23,040,000,000 days

A date is written with five numbers, from the largest unit to the smallest: baktun . katun . tun . winal . kin. The stela that marks the previous era carries the date 13.0.0.0.0, 4 Ahau 8 Cumku: 13 baktuns, with the introductory glyph and the Tzolkin (4 Ahau) and Haab (8 Cumku) dates. The word baktun comes from the Yucatec Mayan words b'ak' (400) and tun (stone), because a baktun is 400 tuns. The larger units, from the pictun to the alautun, appear in only a few inscriptions about mythical times.

End of an era, beginning of another: December 21, 2012

On December 21, 2012 the Long Count completed 13 baktuns again (13.0.0.0.0) since 3114 BC, and baktun 14 began. There was much talk of prophecies and planetary alignments, but the only known Maya texts that mention the 13th baktun, Monument 6 at Tortuguero and Block V of Hieroglyphic Stairway 2 at La Corona, are monuments raised to celebrate the deeds of rulers, in political contexts. They do not speak of the end of the world: for the Maya time is cyclical, and when one count ends another begins.

The 13 Mayan constellations

To read the messages of the sky the Maya also used an almanac of 13 constellations of about 28 days each, adjusted to the movement of the Moon: 13 lunations a year. These are the constellations, with their animal, virtue and dates according to the chart "Interpretation of the Mayan Calendar":

GlyphConstellationAnimalVirtueDates
AakAakTurtlePatience28/06 – 26/07
DzecDzecScorpionCompetitiveness27/07 – 22/08
CehCehDeerHarvest23/08 – 19/09
TzotzTzotzBatMystery20/09 – 17/10
MoanMoanOwlVision18/10 – 14/11
KutzKutzTurkeyTrust15/11 – 12/12
ItzamnáItzamnáSorcerer's housePhilosophy13/12 – 09/01
BatzBatzMonkeyMemory10/01 – 06/02
CozCozHawkIntellect07/02 – 06/03
BalamBalamJaguarCourage07/03 – 03/04
PekPekDogSpirituality04/04 – 01/05
KanKanSerpentStrength02/05 – 29/05
Hunab KuHunab KuHeart of heavenLoyalty30/05 – 27/06
The Mayan constellations along the band of the sky, next to the ones we know today (Taurus, Aries, Pisces, Aquarius, Capricorn, Sagittarius, Scorpio, Libra, Virgo, Leo, Cancer, Gemini), with summer, the zenith passages, spring, winter and the autumn equinox
The Mayan constellations along the band of the sky, next to the ones we know today (Taurus, Aries, Pisces, Aquarius, Capricorn, Sagittarius, Scorpio, Libra, Virgo, Leo, Cancer, Gemini), with summer, the zenith passages, spring, winter and the autumn equinox

The Mayan World

In the late 1980s Mexico, Guatemala and Belize, later joined by Honduras and El Salvador, launched the Mundo Maya project to promote as a single destination the region where Maya culture has lived for more than two thousand years. From Cancun you can visit some of its cities: Chichén Itzá, Tulum, Cobá, Ek Balam and Uxmal.