Mayan Tzolkin Calendar Calculator

Enter a date and choose useful correlation settings. See tones, signs, kin, and cycle details. Download tables, review formulas, and compare sample conversion results.

Calculator Form

Formula Used

The calculator first converts the Gregorian date into a Julian Day Number.

JDN = d + floor((153m + 2) / 5) + 365y + floor(y / 4) - floor(y / 100) + floor(y / 400) - 32045

Here, a = floor((14 - month) / 12), y = year + 4800 - a, and m = month + 12a - 3.

Days From Base = JDN - Correlation Constant

Tone = ((Days From Base + 3) mod 13) + 1

Day Sign Index = (Days From Base + 19) mod 20

Kin Number = ((Days From Base + 159) mod 260) + 1

The default base uses 4 Ajaw at Long Count 0.0.0.0.0.

How To Use This Calculator

  1. Enter a Gregorian calendar date.
  2. Select the default GMT correlation or another preset.
  3. Use a custom constant only when your source requires it.
  4. Press the calculate button.
  5. Read the tone, sign, kin number, trecena, and cycle dates.
  6. Use the export buttons to save the result.

Example Data Table

Gregorian Date Tzolkin Date Kin Number Long Count Haab
2012-12-21 4 Ajaw 160 13.0.0.0.0 3 K'ank'in
2024-04-08 9 Kimi 126 13.0.11.8.6 9 Pop
2026-01-01 5 Kawak 239 13.0.13.3.19 17 K'ank'in

About the Mayan Tzolkin Calendar

The Mayan Tzolkin is a sacred 260 day calendar. It joins thirteen tones with twenty day signs. Each day moves one tone forward. It also moves one sign forward. The pair creates a repeating spiritual date. This tool converts a Gregorian date into that cycle.

Why This Calculator Helps

Manual conversion can be slow. It needs a Julian day number, a correlation constant, and modular arithmetic. The calculator handles those steps for you. It also shows the long count distance from the selected correlation base. You can check the kin number, tone, day sign, trecena, and the next matching day.

Understanding Tones and Signs

The tone shows the number from one to thirteen. The sign shows the named day from Imix to Ajaw. Both parts move together. After tone thirteen, tone one starts again. After Ajaw, Imix starts again. Because thirteen and twenty share no common factor, the same pair returns after 260 days.

Using Correlation Settings

Most modern conversions use the GMT correlation constant 584283. Some researchers use nearby constants. A different constant shifts every result by the same number of days. This is why the calculator includes preset and custom options. Use one method consistently when comparing dates.

Reading the Output

The kin number places the day inside the full 260 day cycle. The trecena sign shows the sign that began the current thirteen day group. The long count fields show elapsed baktun, katun, tun, uinal, and kin units. The Haab value adds a civil calendar reference for wider context.

Practical Uses

Writers can build timelines. Students can test calendar formulas. Researchers can compare historic dates. Designers can create themed planners. Export buttons help save results for notes, lessons, or reports. The example table also gives quick checks against known dates.

Accuracy Notes

This calculator uses the proleptic Gregorian calendar. It treats every entered date with the same modern date rules. Ancient records may require expert review. Correlation debates can also affect interpretation. Always state the chosen constant when sharing a result. That makes your conversion transparent and repeatable. Save the exported file with your source date. Include the timezone used if your study compares regions or midnight boundary questions. Review stays easy.

Frequently Asked Questions

What is the Mayan Tzolkin?

The Tzolkin is a 260 day cycle. It combines thirteen tones with twenty day signs. Each date receives one tone and one sign.

What is a Tzolkin tone?

A tone is the number part of the Tzolkin date. It runs from one to thirteen, then repeats again.

What is a Tzolkin day sign?

A day sign is the named part of the date. The sequence has twenty signs, starting with Imix and ending with Ajaw.

What does kin number mean?

The kin number shows the position inside the full 260 day cycle. Kin one is 1 Imix in this calculator.

Which correlation should I use?

The GMT value 584283 is commonly used. Use another value only when your reference source or research method requires it.

Why do custom constants change results?

The constant sets the base date. Changing it shifts the day count. That changes tones, signs, kin numbers, and cycle dates.

Can I export my result?

Yes. Use the CSV button for spreadsheet data. Use the PDF button for a simple printable summary of the result table.

Does this handle ancient dates?

It uses proleptic Gregorian rules. Ancient historical work may need calendar reform checks, source review, and expert interpretation.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.