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
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
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
- Select a Gregorian Date: Use the date picker to choose any date.
- View Mayan Date: The equivalent Long Count, Tzolk'in day name and number, and Haab' date are displayed.
- 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:
- 1Julian Day for June 7, 2026: JD ≈ 2461199
- 2GMT correlation: 584283
- 3longCountDays = 2461199 − 584283 = 1876916
- 4b'ak'tun = floor(1876916 / 144000) = 13; k'atun = floor((1876916 mod 144000) / 7200) = 0 (approx)
- 5tun, winal, kin follow similarly from the remaining days
- 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:
- 1Day signs cycle 0–19: index 4 = Chicchan (the 5th sign)
- 2Tzolk'in number cycles 1–13 independently
- 3If longCountDays mod 13 = 3, then Tzolk'in number = 3 + 1 = 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:
- 1JD for December 21, 2012: 2456283
- 2longCountDays = 2456283 − 584283 = 1872000
- 31872000 / 144000 = 13.0 b'ak'tuns exactly → Long Count 13.0.0.0.0
- 4This completed the 13th b'ak'tun cycle (started August 11, 3114 BCE)
- 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
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.
Formula Source: Standard Mathematical References
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