Tzolk'in · Haab · Long Count · Calendar Round

Mayan Calendar

A gearing of three interlocking cycles; from the sacred 260-day count to the 5,125-year baktun era, from the Dresden Codex Venus table to the Lord of the Night of any given day. With the GMT 584283 correlation.
Date Entry
Tzolk'in · The Sacred 260-Day Count
20 day names × 13 numbers; today's position marked in jade
Haab' · The 365-Day Civil Year
18 months × 20 days plus the 5-day Wayeb' intercalary period
Dresden Codex Venus Table
The 584-day synodic cycle; the Mesoamerican counterpart of the Venus Star Point method
Noh Ek' · The Great Star
Dresden Codex pages 24–29; observed circa 8th–11th century

Mayan priests divided the 584-day cycle of Venus into four phases. The beginning of each phase was a threshold of danger; at the heliacal rising in particular, Venus was depicted as a god attacking with spears.

236
Morning Star
Venus after heliacal rising, ascending before the sun; the phase in which warfare rituals were initiated.
90
Superior Conjunction
Venus behind the sun; the descent into the underworld, the time spent beside the god of death.
250
Evening Star
Venus visible in the west after sunset; the phase of evening rites.
8
Inferior Conjunction
Venus between Earth and the Sun, an invisible passage; the most ill-omened phase, the dreaded 8 days.
5 × 584 = 2,920 days = 8 years
the coincidence of five synodic cycles of Venus with eight tropical years; the mathematical basis of the pentagram cycle
Understanding the Mayan Calendar System
the gearing of three cycles, in brief
Tzolk'in
"the count of days" · 260 days

Twenty day names are paired with thirteen numbers; every day is unique and recurs only after 260 days. The origin of the number 260 is disputed; it has been linked to the human gestation period, to the interval between solar zenith passages at the latitude of Tikal, or to a sacred 13 × 20 vigesimal-tridecimal scheme.

One's birth Tzolk'in date is held to be personal, and was associated with individual destiny within the Mayan cosmovision.

Haab'
365 days · "vague year"

Eighteen months × twenty days plus a five-day Wayeb' period. Close to the tropical year but not exact; it drifts by approximately 365 days over 1,500 years (no intercalation is used).

The Wayeb' period was considered dangerous; portals were said to open, and ritual fasting and confinement to the home were observed.

Calendar Round
52 years · 18,980 days

The combination of Tzolk'in and Haab' — a given date (for example "4 Ajaw 8 Kumk'u") repeats only after exactly 52 years. In Mayan culture this was the measure of generational renewal.

At the close of the 52-year cycle the New Fire ceremony was performed; all fires were extinguished and then rekindled.

Long Count
Baktun.Katun.Tun.Uinal.Kin

A linear day-count system; it numbers the days since the mythological beginning (4 Ajaw 8 Kumk'u, equivalent in the GMT correlation to 11 August 3114 BCE). Thirteen baktuns = 1,872,000 days ≈ 5,125 years, constituting one "Great Cycle."

The date 13.0.0.0.0 — the end of the Great Cycle — fell on 21 December 2012; the origin of popular "end-of-the-world" interpretations.

GMT Correlation
584283 · Goodman-Martínez-Thompson

The bridge between the Long Count day-number and the modern Julian Day Number. This constant makes Long Count 0.0.0.0.0 correspond to JDN 584283 (Gregorian 11 August 3114 BCE).

Alternative correlations GMT+1 (584284) and GMT-2 (584285) remain subjects of academic debate; this tool uses 584283, the majority position.

Lord of the Night
G1–G9 · a 9-day cycle

Nine deities of the underworld; each one reigns in turn during the night. In Classic-period inscriptions, the Lord of the Night is given alongside the Long Count.

The Tzolk'in (260), Haab' (365) and Lords of the Night (9) cycle recurs every 16,380 days — approximately every 45 years.

Historical and Mythological Moments
selected dates from Mayan history and from modern parallels

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Frequently Asked Questions

About the Mayan calendar

What is the Tzolk'in and how does it generate 260 unique day names?

The Tzolk'in is the 260-day sacred calendar of the Maya, formed by the combination of twenty named days (Imix, Ik', Ak'b'al, K'an, Chikchan, and so on) with thirteen numerals (1 to 13). Because 20 and 13 are coprime, every combination of number and name is unique and the cycle returns to its starting point only after 260 days. The Tzolk'in served as the principal divinatory and ritual calendar across Mesoamerica, and its origins may lie in the period of human gestation, the agricultural cycle of maize, or the synodic period of Venus.

What is the Haab' and how does it relate to the solar year?

The Haab' is the 365-day vague year of the Maya, divided into eighteen named winals or "months" of twenty days each (Pop, Wo', Sip, and so on through Kumk'u), followed by a five-day terminal period called Wayeb'. Because no leap day is inserted, the Haab' drifts against the tropical year by roughly one day every four years - the same fixed-length structure as the Egyptian civil year. The Haab' was used for agricultural and civil purposes and provides the second half of the Calendar Round.

What is the Calendar Round of 52 years?

The Calendar Round is the combination of the 260-day Tzolk'in and the 365-day Haab', producing a cycle of 18,980 days - exactly 52 Haab' years or 73 Tzolk'in cycles - before any given pairing of Tzolk'in and Haab' dates returns. This 52-year period was the principal mid-range timekeeping unit across pre-Columbian Mesoamerica, marking the great cycles of personal and political life. The completion of a Calendar Round was attended by major rituals - among the Aztecs, the famous Toxiuh Molpilia or "binding of the years."

What is the Long Count and what is the GMT 584283 correlation?

The Long Count is a linear day-count, used principally on Classic Maya monuments, that records the number of days elapsed since a mythical zero point - the beginning of the present world era - in units of k'in (1 day), winal (20 days), tun (360 days), k'atun (7,200 days), and b'ak'tun (144,000 days). The Goodman-Martínez-Thompson (GMT) correlation, with its now-standard constant of 584,283, places this zero point on 11 August 3114 BCE in the proleptic Gregorian calendar; the celebrated "end" of the thirteenth b'ak'tun fell on 21 December 2012. Recent radiocarbon and archaeoastronomical work, notably by Aldana, supports the GMT 584286 variant, but 584283 remains the consensus.

What does the Dresden Codex Venus table reveal about Maya astronomy?

The Venus table in the Dresden Codex (pages 24 and 46-50) is a sophisticated Late Postclassic Maya astronomical document that tracks the synodic period of Venus, traditionally taken as 584 days, across a great cycle of sixty-five Venus periods (37,960 days = 104 Haab' years). It records the four phases of Venus - morning star, superior conjunction, evening star, inferior conjunction - and identifies particular dates as ominous for warfare, when Venus first appears as morning star (heliacal rising). The table is one of the most accurate pre-telescopic Venus computations known, with corrections built in to maintain alignment over centuries.

Who are the nine Lords of the Night and what is the Wayeb'?

The Nine Lords of the Night (Bolontiku) are a cycle of nine deities, identified epigraphically as G1 through G9, that rule successive nights and form an additional layer of ritual significance attached to each date in the Long Count. The Wayeb' is the five-day terminal period of the Haab' year, considered an inauspicious and dangerous time of liminality between years; it was marked by abstention from many normal activities and by purification rituals. Together, the Lords of the Night and the Wayeb' show how richly stratified Maya time was, with multiple overlapping cycles of meaning attached to every date.