How the Maya calendar works — it's not all that complicated

How the Maya calendar works — it's not all that complicated
It's hieroglyph heavy, but they were just counting the days — and not until doomsday

The Maya Long Count Calendar and its connection to 2012 has long been a topic of controversy.
By Stephanie Pappas


With chatter about the Maya apocalypse intensifying as Dec. 21 approaches, you may have seen that while the ancient Maya calendar "ends" on that day, the Maya themselves would not have seen that as the end of the world. But how does the Maya calendar work, anyway?

It's not as confusing as it might seem. The ancient Maya kept time in a very different way than we do today, and their hieroglyph-heavy calendar can seem daunting at first glance. But the basic principle is simply that the Maya were counting the days.

"That's somewhat different from our own calendar, which is really tied to the length of the solar year," said Walter Witschey, an archaeologist and Maya expert at Longwood University in Virginia.

Three calendars
The first thing to understand is that the Maya used three different calendars. The first was the sacred calendar, or Tzolk'in, which lasted 260 days and then started over again, just as our 365-day calendar refreshes once it hits Dec. 31. This calendar was important for scheduling religious ceremonies.

The second calendar was the Haab', or secular calendar, which lasted 365 days but did not account for the extra quarter-day it takes the Earth to revolve around the sun. (The modern calendar accounts for this fraction by adding a day to February every four years, the reason we have leap years.) That means the calendar wandered a bit in relation to the seasons.

The final calendar was the Long Count Calendar — the recording method that has caused all of the doomsday brouhaha of 2012. On Dec. 21 (approximately), the calendar completes a major cycle, which has triggered doomsday fears and mystical rumors about the end of an age.

Andrea Dailey 2012 / Andrea Dailey at Longwood University
This silkscreen shows dates in the Maya Long Count Calendar and a sacred calendar called the Tzolk'in. The silkscreen is based on carvings found in Quirigua, Guatemala.

The Maya shared our culture's fascination with calendar mile-markers and would have likely considered the date important, Witschey told LiveScience. But they did not make any doomsday predictions about the date. The only two carvings ever found referring to the date depict contemporary kings and their predicted long-lasting legacies, Witschey said.

"Suppose I said to you that George Washington is so important that we will still consider him a revered national leader in the year 3000," Witschey said. "So now you've got the rollover of the zeros, you've got an important contemporaneous figure, and you're looking forward to the future." That's what the Maya carvings are trying to accomplish, he said.

How the Long Count Calendar works
The Long Count Calendar may not predict doomsday, but it is good at covering long periods of time. Here's how it works: Dates are written out as five numbers separated by four periods, such as 13.0.0.0.0. (The ancient Maya represented these not with numerals, of course, but with their own hieroglyphs.)

The right-most position is called the k'in, which counts single days: 13.0.0.0.1, for example. The k'in counts up to 19 and then flips back to zero, with counting picked back up by the next position, the uinal. So 13.0.0.0.19 would become 13.0.0.1.0, much like a car odometer.

Each uinal is thus a block of 20 days. The k'in position then picks back up, counting up to that 20, which then gets added to the uinal. So the day after 13.0.0.1.0 would be 13.0.0.1.1 and then 13.0.0.1.2, all the way up to 13.0.0.1.19 and finally 13.0.0.2.0.

The uinals count upward as well. While the Maya generally use a base-20 counting system, Witschey said, they modify this slightly for the uinal, which only counts up to 17 before rolling over to the third position, the tun. Each tun is thus 18 blocks of 20 days, or 360 days — approximately a year by the solar calendar.

Tuns, in turn, count up to 20 before rolling over into k'atuns. As 20 blocks of 360 days, each k'atun translates into 7,200 days, or just less than 20 years. The k'atun place then counts up before rolling over into the final digit, the b'ak'tun.

If that word sounds familiar, it's because Dec. 21, 2012, on our calendar marks the end of the 13th b'ak'tun of the Maya Long Count Calendar. In other words, it's the day the count will read 13.0.0.0.0. On Dec. 22, it will read 13.0.0.0.1.

Each b'ak'tun is 144,000 days long, or a little less than 400 years. To the ancient Maya, 13 b'ak'tuns represented a full cycle of creation; one carving refers to a god associated with calendar changes returning that day. There are no apocalyptic prophecies, however. In fact, the Maya had several rarely used units that were even larger than b'ak'tuns, giving them the capacity to count millions of years into the future, Witschey said.

"That, actually, is one of the lines of evidence that they didn't think their world was ending at 13.0.0.0.0," Witschey said.

Another hiccup for Maya doomsday believers : Although many scholars agree that Dec. 21 is the proper date on our calendar matching the end of the 13th b'ak'tun, there is some uncertainty over this, because some Maya calendar units may have clicked over at sunset and others at sunrise. Some researchers have suggested that Dec. 23 or 24 may be a more accurate fit, Witschey said. Either way, however, the Maya would not have been running for their doomsday bunkers.

"You'll get up in the morning and go forward, and the Maya cycles will have clicked over another day," Witschey said.