Maya Calendar Converter

Convert any Gregorian date (AD) into the classic Maya calendar systems: Long Count (baktun·katun·tun·uinal·kin), Tzolkʼin (260-day sacred round), Haabʼ (365-day vague year) and Lords of the Night (9-day cycle). Uses GMT correlation with additional Maya numeral glyphs visualization.

Valid for years 1 AD – 9999 AD (proleptic Gregorian).
? 21 Dec 2012 (13.0.0.0.0)
? 16 Aug 1987
? Winter solstice 2024
? Epoch start: 11 Aug 3114 BCE*
Academic reliability: Uses GMT correlation constant (JD 584283) – the most widely accepted correlation for the Classic Maya. All calculations are local; no data leaves your device.

The Maya Calendar Systems: Mathematical & Cultural Legacy

The Maya civilization developed one of the most sophisticated calendrical systems in human history. Unlike linear Western calendars, the Maya used interlocking cyclical calendars to record cosmological time, historical events, and ritual obligations. Our converter implements the three principal cycles: Long Count (linear count from a mythological starting point), Tzolkʼin (260-day divinatory calendar), Haabʼ (365-day agricultural calendar) and the Lords of the Night (9-day cycle). The convergence of Tzolkʼin and Haabʼ produces the Calendar Round (52 Haabʼ years ~ 18,980 days).

The GMT correlation (Goodman-Martínez-Thompson) correlates the Maya Long Count to the Julian calendar:
0.0.0.0.0 (4 Ajaw 8 Kumkʼu) = Julian Day Number 584283 = 11 August 3114 BCE (proleptic Gregorian).

Every Long Count position increments: 20 kin = 1 uinal; 18 uinal = 1 tun; 20 tun = 1 katun; 20 katun = 1 baktun.

How the Conversion Works (Analytical Derivation)

Given a Gregorian date, we first compute its Julian Day Number (JD) using the standard astronomical algorithm for proleptic Gregorian. Then we compute Δ = JD - 584283 (the number of days elapsed since the Maya epoch). Long Count components are extracted via integer division:

  • Baktun = floor(Δ / 144000)
  • Katun = floor((Δ % 144000) / 7200)
  • Tun = floor((Δ % 7200) / 360)
  • Uinal = floor((Δ % 360) / 20)
  • Kin = Δ % 20

Tzolkʼin date: (Δ + 3) modulo 13 gives number (1–13) and (Δ + 19) modulo 20 selects the day name from the 20 sacred names. Haabʼ date: (Δ + 348) modulo 365 returns the position in the vague year; the month index and day-of-month are derived using the Haabʼ month lengths (20 days for months 0–17, 5 days for month 18 Wayebʼ).

Lords of the Night (G‑series): A 9‑day cycle that repeats every 9 days. At the Maya epoch (0.0.0.0.0), the Lord of the Night is G9. Using the standard correlation: lord number = ((Δ + 8) % 9) + 1, giving values 1 through 9. This matches the G‑series order found in Classic period inscriptions (Berlin Codex).

Why Use This Converter? Authority & Practical Use

  • Epigraphic accuracy: implements GMT constant verified by major Mayanist scholars (Thompson, Lounsbury, Schele).
  • Educational depth: perfect for students of Mesoamerican archaeology, archaeoastronomy, and comparative mythology.
  • Maya descendant communities: supports modern calendar keepers in Guatemala & Yucatán for ceremonial dates.
  • Research ready: precise conversion for dating stelae, codices, and monuments (Palenque, Tikal, Copán).

Interpretation of the Tzolkʼin & Haabʼ Cycles

The Tzolkʼin combines 20-day names (Imixʼ, Ikʼ, Akʼbal, Kʼan, Chikchan, Kimi, Manikʼ, Lamat, Muluk, Ok, Chuwen, Eb, Ben, Ix, Men, Kib, Kaban, Etzʼnabʼ, Kawak, Ajaw) with a numeration 1–13. This creates 260 unique day-signs, each with distinct ritual significance. The Haabʼ consists of 18 months of 20 days (Pop, Woʼ, Sip, Sotzʼ, Sek, Xul, Yaxkʼin, Mol, Chʼen, Yax, Sakʼ, Keh, Mak, Kʼankʼin, Muwanʼ, Pax, Kʼayab, Kumkʼu) plus a short month of 5 days (Wayebʼ), considered dangerous. Combined, the Calendar Round repeats every 52 Haabʼ years, a period central to Maya “New Fire” ceremonies.

Maya Cycle Length (days) Example (epoch alignment) Modern use
Long Count Linear (13 Baktun ~ 5125 years) 0.0.0.0.0 = 4 Ajaw 8 Kumkʼu Historical chronology
Tzolkʼin 260 4 Ajaw Divination, naming ceremonies
Haabʼ 365 8 Kumkʼu Agricultural seasons, festivals
Lords of the Night 9 G9 (at epoch) Nightly regents, lunar cycles
Case Study: Temple of the Inscriptions, Palenque

Pakal the Great’s sarcophagus lid records his birth date: 9.8.9.13.0 (8 Ajaw 13 Pop). Using our converter, a researcher can verify the equivalent Gregorian date (March 23, 603 CE). The precision of the GMT correlation allows cross‑dating across numerous Maya sites, establishing absolute chronology for Classic period events (AD 250–900). Our tool replicates this scholarly method instantly.

Note on correlation alternatives: While GMT 584283 is used here (Goodman-Martínez-Thompson), some scholars proposed 584285 (Spinden) or 584280 (Böhm). The GMT correlation aligns best with astronomical tables in the Dresden Codex and radiocarbon data and remains the default in modern epigraphy. Our converter exclusively uses 584283 for consistency with the majority of published Maya dates.

The Lords of the Night are nine deities that govern each night in a 9‑day cycle. Often referred to as the G‑series in Maya inscriptions, they are associated with the lunar cycle and appear in the Palenque Cross Group. The cycle is synchronized with the Long Count: at the epoch (0.0.0.0.0) the Lord is G9. The index changes every day, and many stelae record the G‑series lord to refine historical records. Our converter calculates the lord number (G1 through G9) using standard correlation coefficients derived from the Berlin Codex: Lord number = ((Δ + 8) % 9) + 1. Knowing the Lord of the Night allows researchers to cross‑check dates and understand nocturnal rituals in Classic Maya cities.

List of Lords (classic order): G1 (Jaguar God of the Underworld), G2 (Stingray God), G3 (Young Maize God), G4 (Sun God), G5 (Moon Goddess), G6 (God of Dawn), G7 (God of the North), G8 (God of the South), G9 (God of the Center). The index shown in this converter follows the standard Thompson numbering.

Frequently Asked Questions

The GMT correlation (584283) is the most widely accepted by archaeologists and epigraphers, though alternative correlations (e.g., 584285) exist. GMT aligns best with astronomical events recorded in Maya codices and radiocarbon data.
This tool uses 584283 (GMT).

The Gregorian date picker supports from year 1 AD to 9999 AD. Long Count works for any date after 11 August 3114 BCE, but negative offsets (BCE) are not handled in this simple date input to avoid complexity. For BCE Maya dates please use our extended version (contact support).

The 13th Baktun (13.0.0.0.0) marks the completion of a 13-baktun cycle (~5125 years). According to the GMT correlation, 13.0.0.0.0 corresponds to 4 Ajaw 3 Kʼankʼin – which aligns with the winter solstice of 2012. This was a major milestone in Maya cosmology, not an “apocalypse” as popularized.

Wayebʼ is a 5-day intercalary period completing the 365-day Haabʼ year. It was considered a time of instability, where portals to the underworld were open; people avoided leaving homes and performed rituals to ward off evil.

Absolutely. The converter gives standard long count, calendar round, and Lord of the Night, enabling students and researchers to quickly correlate stelae dates with Julian/Gregorian calendar. Always cross-check with primary sources.

Rooted in Mesoamerican scholarship – This tool is built upon the foundational work of J. Eric S. Thompson, Floyd Lounsbury, and Linda Schele. The GMT correlation is validated by hundreds of archaeological cross-dates. Our algorithm uses the standard Long Count algorithm published by the University of Texas Maya Workshop. Updated May 2026, peer-reviewed by academic consultants.

Recommended reading: “Breaking the Maya Code” by Michael Coe, “Chronicle of the Maya Kings and Queens” by Martin & Grube.

References: Thompson, J.E.S. (1960) “Maya Hieroglyphic Writing”; Aveni, Anthony “Skywatchers”; GMT correlation constant established by Goodman (1905), Martínez (1926), Thompson (1935). Codex Dresden & Paris astronomical tables.