Days to Tun (Maya) (d to tun)

1 day equals 0.002777777778 tun (Maya) (rounded).

1 day = 0.002777777778 tun (Maya)

How to convert days to tun (Maya)

To convert days to tun (Maya), multiply the number of days by 0.002777777778. The factor is rounded to 10 significant digits. To go the other way, multiply tun (Maya) by 360.

tun (Maya) = days × 0.002777777778

Example: 10 days = 0.02777777778 tun (Maya).

Months and years are not constant. This site uses the average Gregorian year of 365.2425 days, so one 'year' converts to 365.2425 days, not 365; use 'common year' for exactly 365 days.

About these units

Day (d)

Metric (SI)Current unit

24 hours or 86,400 seconds. The mean solar day; the actual rotation of the Earth is about 4 minutes shorter (see sidereal day).

Old English dæg is the root of our day, with close cousins in German Tag, Dutch dag and Icelandic dagur, all descending from Proto-Germanic dagaz. It is the oldest unit here, because the cycle of light and dark needs no instrument. Yet the day we count is a constructed average: the actual interval from one noon to the next varies through the year by up to about 7.9 seconds, because Earth's orbit is elliptical and its axis is tilted.

Astronomers smooth this out with a fictitious mean Sun, giving the mean solar day, and the day in the SI sense is fixed at exactly 86,400 seconds. Reality has drifted slightly: the mean solar day has recently averaged about 86,400.002 seconds, and tidal drag from the Moon is lengthening it by about 2 milliseconds per century. That is why 27 leap seconds were added to UTC between 1972 and 2022. One rotation measured against the distant stars is shorter, about 23 hours 56 minutes 4.09 seconds, and a year contains one more of these sidereal days than solar days.

1 day = 86,400 seconds (exactly).

Sources: Wikipedia: Day; BIPM: SI Brochure, 9th edition

Tun (Maya) (tun)

MayaHistorical unit (no longer in standard use)

18 winals or 360 days, the Maya 'year' of the Long Count.

Eighteen winals, or 360 days, make a tun. Scholars often call it the Long Count year, but it is five days shorter than the 365-day civil year, the haabʼ, and about five and a quarter days shorter than the tropical year of roughly 365.24 days. The tun therefore drifts away from the seasons, and the Maya tracked the solar year separately with the haabʼ.

The tun is the third position from the right in a written Long Count date. Its choice of 18 winals is the reason the system is not purely base-20: a strict base-20 count would have given 400 days at this step. The rounded 360-day figure is close to a year while staying a multiple of 20, which suited arithmetic on 20-day units.

The tun is the building block of the longer cycles. Twenty tuns form a katun, and rulers and events were frequently dated by how many tuns had passed. In seconds it equals 31,104,000, about 0.99 of a modern calendar year.

1 tun (Maya) = 31,104,000 seconds (exactly).

Sources: Wikipedia: Maya calendar; Wikipedia: Mesoamerican Long Count calendar; Steve Morse: Mayan Calendar Rules

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