Mayan Calendar Calculator

Convert between Gregorian and Mayan calendar dates. View Long Count, Tzolkin, and Haab representations.

Long Count Units

Kin: 1 day

Uinal: 20 days

Tun: 360 days

Katun: 7,200 days (~20 years)

Baktun: 144,000 days (~394 years)

July 18, 2026

13.0.13.13.17

Long Count

Tzolkin

8 Caban

260-day sacred calendar

Haab

10 Xul

365-day civil calendar

Full Date Details

Baktun

13

Katun

0

Tun

13

Uinal

13

Kin

17

Lord of Night

G7

Haab Months

PopUoZipZotzTzecXulYaxkinMolChenYaxZacCehMacKankinMuanPaxKayabCumkuWayeb

Days from Mayan Epoch: 18,76,957
Julian Day Number: 2461240

What Is the Mayan Calendar?

The Mayan calendar is a system of calendars used by the ancient Maya civilization of Mesoamerica. Rather than a single calendar, the Maya used multiple interlocking calendar systems simultaneously. The three most important are the Tzolk'in (260-day sacred calendar), the Haab' (365-day solar calendar), and the Long Count — a continuous count of days from a creation date in 3114 BCE.

The Tzolk'in consists of a cycle of 20 named days combined with a cycle of 13 numbers, creating 260 unique day combinations (20 × 13). It was used for religious ceremonies, divination, and timing of agricultural and ritual events. The Haab' consists of 18 months of 20 days each, plus a short month (Wayeb') of 5 "unlucky" days, totaling 365 days.

The Long Count is the linear calendar — a continuous count of days since the creation date (4 Ajaw 8 Kumk'u in the correlation most widely accepted, corresponding to August 11, 3114 BCE in the proleptic Gregorian calendar). It uses a base-20 positional notation: kin (days), winal (20 days), tun (360 days), k'atun (7,200 days), and b'ak'tun (144,000 days).

Mayan Calendar Conversion

The conversion uses the Julian Day Number as an intermediate step, then applies the Goodman-Martínez-Thompson (GMT) correlation to find the Maya date.

Long Count from Julian Day

longCountDays = JD − 584283 (GMT correlation); kin = longCountDays mod 20; winal = floor(longCountDays/20) mod 18; tun = floor(longCountDays/360) mod 20

Where:

  • JD= Julian Day Number of the Gregorian date being converted
  • 584283= GMT correlation constant — the JD of the Maya creation date 0.0.0.0.0 (August 11, 3114 BCE)
  • longCountDays= Days elapsed since the Maya creation date
  • Tzolk'in day= (longCountDays mod 20) → index into the 20 named day signs
  • Tzolk'in number= (longCountDays mod 13) + 1 → number 1–13 cycling with the day signs
  • Haab' month/day= Derived from longCountDays mod 365, then dividing into 18-day month blocks

The Tzolk'in and Haab' Calendars

The Tzolk'in has 20 named day signs that cycle alongside a count of 1–13, creating 260 unique combinations before repeating. It was used primarily for ritual purposes. The 20 day signs are: Imix, Ik, Akbal, Kan, Chicchan, Cimi, Manik, Lamat, Muluc, Oc, Chuen, Eb, Ben, Ix, Men, Cib, Caban, Etznab, Cauac, Ahau.

The Haab' year has 19 "months": 18 months of 20 days (Pop, Uo, Zip, Zotz, Tzec, Xul, Yaxkin, Mol, Chen, Yax, Zac, Ceh, Mac, Kankin, Muan, Pax, Kayab, Cumku) plus the 5-day Wayeb' month, which was considered an unlucky transitional period when the gods rested and supernatural forces were at their most threatening.

When combined, the Tzolk'in and Haab' create a Calendar Round of 52 Haab' years (18,980 days) — the period before the same combination of Tzolk'in day and Haab' date repeats. The Calendar Round was the primary dating system for most events in Maya inscriptions.

How to Use This Calculator

  1. Select a Gregorian Date: Use the date picker to choose any date.
  2. View Mayan Date: The equivalent Long Count, Tzolk'in day name and number, and Haab' date are displayed.
  3. Understand the Components: The result shows all three calendar components — Long Count position, Tzolk'in sacred day, and Haab' solar date.

Cultural and Historical Significance

The Maya calendar system was one of the most sophisticated in the ancient world. Maya astronomers tracked the cycles of Venus, Mars, and the Moon with remarkable precision, encoding these astronomical cycles into their calendar system. The Dresden Codex — one of the few surviving Maya books — contains detailed Venus tables accurate to within minutes per year.

Archaeological dating of Maya monuments relies on the Long Count dates carved into stelae (stone monuments). Deciphering these dates, using the GMT correlation, has allowed historians to establish the chronology of Maya history, including when specific cities were founded, when rulers came to power, and when key historical events occurred.

The Maya "2012 phenomenon" arose from the Long Count date 13.0.0.0.0 (December 21, 2012), which marked the completion of a b'ak'tun cycle — similar in concept to a millennium change. Despite popular misconceptions, Maya scholars confirmed this was a celebration of completion and renewal, not a prediction of apocalypse. The Long Count simply rolled over to 0.0.0.0.0 of the next b'ak'tun, much as our calendar rolled from 1999 to 2000.

Worked Examples

Convert June 7, 2026 to Maya Long Count

Problem:

What is the Maya Long Count date for June 7, 2026?

Solution Steps:

  1. 1Julian Day for June 7, 2026: JD ≈ 2461199
  2. 2GMT correlation: 584283
  3. 3longCountDays = 2461199 − 584283 = 1876916
  4. 4b'ak'tun = floor(1876916 / 144000) = 13; k'atun = floor((1876916 mod 144000) / 7200) = 0 (approx)
  5. 5tun, winal, kin follow similarly from the remaining days
  6. 6Full Long Count: approximately 13.0.13.x.x

Result:

June 7, 2026 ≈ Long Count 13.0.13.x.x in the Maya calendar (we are in the 13th b'ak'tun since 2012).

Tzolk'in Day Calculation

Problem:

What Tzolk'in day sign corresponds to day 4 of the cycle?

Solution Steps:

  1. 1Day signs cycle 0–19: index 4 = Chicchan (the 5th sign)
  2. 2Tzolk'in number cycles 1–13 independently
  3. 3If longCountDays mod 13 = 3, then Tzolk'in number = 3 + 1 = 4
  4. 4Combined: '4 Chicchan' — one of 260 possible Tzolk'in positions

Result:

A day with longCountDays mod 20 = 4 has Tzolk'in sign 'Chicchan' (Snake).

The December 21, 2012 Long Count Reset

Problem:

Why was December 21, 2012 significant in the Maya Long Count?

Solution Steps:

  1. 1JD for December 21, 2012: 2456283
  2. 2longCountDays = 2456283 − 584283 = 1872000
  3. 31872000 / 144000 = 13.0 b'ak'tuns exactly → Long Count 13.0.0.0.0
  4. 4This completed the 13th b'ak'tun cycle (started August 11, 3114 BCE)
  5. 5The next cycle began on December 22, 2012: 0.0.0.0.1 or 13.0.0.0.1

Result:

December 21, 2012 = Long Count 13.0.0.0.0 — completion of the 13th b'ak'tun. The Long Count then continued to 13.0.0.0.1 on December 22, 2012.

Tips & Best Practices

  • The Long Count notation is read right-to-left in significance: b'ak'tun.k'atun.tun.winal.kin
  • We are currently in the 14th b'ak'tun (13.x.x.x.x in the counting system most commonly used).
  • The Tzolk'in 260-day cycle aligns with the Haab' 365-day cycle only every 52 years — this Calendar Round was extremely important to the Maya.
  • The 2012 phenomenon was completely debunked by Maya scholars years before the date arrived — the calendar simply continued.
  • The Dresden Codex is the most complete surviving Maya book; it contains detailed Venus astronomical tables showing Maya precision in observational astronomy.
  • Modern Maya day-keepers (Aj Q'ij) in Guatemala still use the Tzolk'in for ceremonial timing — the tradition is unbroken.

Frequently Asked Questions

The Maya calendar never predicted the end of the world on December 21, 2012. That interpretation was a modern Western creation. The date 13.0.0.0.0 simply marked the completion of a 5,125-year b'ak'tun cycle — a significant anniversary, not a doomsday prophecy. Maya scholars, archaeologists, and the Maya people themselves consistently clarified this. The Long Count calendar extends far beyond 2012; some Maya texts reference dates thousands of years in the future.
The origin of the 260-day cycle is debated among scholars. Leading theories suggest it relates to the human gestation period (approximately 260 days); the interval between Venus's appearance as morning and evening star; the agricultural cycle in certain Maya regions; or a mathematical combination of the 20 named days and 13 numbers that the Maya considered cosmologically significant. What is certain is that the Tzolk'in was the most important ritual calendar and was in continuous use for at least 2,600 years.
The GMT (Goodman-Martínez-Thompson) correlation is the widely accepted formula for converting Maya Long Count dates to Gregorian (or Julian) calendar dates. The correlation constant 584283 is the Julian Day Number corresponding to the Maya creation date 0.0.0.0.0 (4 Ajaw 8 Kumk'u). Alternative correlations exist (notably the Spinden correlation using 489384) but the GMT correlation is supported by the most archaeological, astronomical, and ethnohistorical evidence and is universally used by Maya scholars today.
Yes — approximately 7 million Maya people live today, primarily in Mexico (Yucatán, Chiapas, Tabasco), Guatemala, Belize, and Honduras. Many Maya communities maintain traditional practices and some use traditional calendar systems alongside the Gregorian calendar. The Tzolk'in in particular remains in active use in highland Guatemalan communities for timing agricultural activities, ceremonies, and divination. The Maya civilization never 'collapsed' — it transformed and continues.
Wayeb' (or Uayeb) is the 5-day period at the end of the Haab' year — considered extremely unlucky and dangerous. According to Maya belief, these were the days when the barriers between the human world and the supernatural world were thinnest, malevolent spirits roamed freely, and normal activities should be suspended. People avoided leaving their homes, washing their hair, or engaging in important activities during Wayeb'. This concept of 'dead days' between year cycles appears in many cultures worldwide.

Sources & References

Last updated: 2026-06-06

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Standard Mathematical References

by Various

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.

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