INDEX I:  THE MAYAN CALENDER II:  KALARHYTHMS and MAYA III:  52yr SPIRITUAL CYCLE IV:  INTRO. KALARHYTHMS  
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Kalarhythms & the
Mayan Calendar title

The Mayan Calendar

Mayan Calendar Durations


Mayan Calendar symbol ChicchanChiccan
The Serpent
Earth / East
Mayan Calendar symbol OcOc
The Dog
Air / North
Mayan Calendar symbol MenMen
The Eagle
Water / West
Mayan Calendar symbol AhauAhaw
The Solar Lord
Fire / South

The Mayans followed the 52-year Spiritual Cycle. They used ideographic writing in glyphs and a three-digit, base-20 (vigesimal) numerical system (shown left). Their 260-day Tzolkin Calendar (below) with 13-day weeks & 20-day months worked with the 365-day solar year. The time required for any weekday to recur with both the same month and year days is 18,980 days, or 52 years. This is the Calendar Round (below right).

Tzolkin 260-day Calendar
Tzolkin = 260 days = 20 wks. = 13 mos.
13-day wk., 20-day mo., 52-dy. 1/5, 65-dy. qtr.
Tzolkin
Mayan Calendar Wheel


Mayan Calendar Counts
( 1 kin = 1 day )Mayan Numerals
Mayan numerals
time cell =4 kin
wave spell13 kin
vinal =20 kin
castle =52 kin
Tzolkin =260 kin
tun =360 kin 5k vayeb = 365k haab
vayeb =5 kin
haab =365 kin( 1 tun = 360 kin )
tun =360 kin1 tunyrs.+/-  < 1
holtun =1,800 kin5 tun< 5
Cal.Rnd.qtr.4,680 kin13 tun> 13
katun =7,200 kin20 tun< 20
Cal.Round18,980 kin73 tzolkin< 52
Ahaw =93,600 kin260 tun
13 katun
> 256
baktun =144,000 kin400 tun
20 katun
> 394
Long Count
(Great Yr.)
1,872,000 kin5,200 tun
13 baktun
20 Ahaw
260 katun
> 5,125
pictun =2,880,000 kin8,000 tun
20 baktun
> 7,885
calabtun =57,600,000 kin160,000 tun
20 pictun
> 157,704
kinchiltun=3.2 mil. tun
20 calabtun
> 416,162
alatun =64 mil. tun
20 kinchiltun
>63,080,082

The Calendar Round takes 52 years for the same week day, month day and haab day to realign together (18,980 kin). A Tun has 360 kin, almost a solar year. To complete the 365-kin year, they added a 5-kin Vayeb at year's end for a 365-Haab.
Hence 400 tun (or 20 x 20 tun) = 20 katun = 1 baktun.

The Tzolkin has 260 days/kin = 20 weeks (13 kin each) = 13 months (20 kin each). Its 13 columns for weeks and 20 rows for months form a time matrix. The first day of each 13-day week falls on a different row for 20 times, then it begins a new Tzolkin.

Hence 13 x 20 kin = 260-kin Tzolkin.

The Ahaw Cycle has 260 tun = 20 Calendar Round Qtrs. = 13 katun (= 7,200 weeks = 46,800 months = 360 Tzolkins). It is just more than 256 years (93,600 kin). The Ahaw cycle is a greater fractal of the 260-unit Tzolkin matrix that substitutes tun for kin.
Hence 13 x 20 tun = 260-tun Ahaw.

The Long Count has 260 katun = 20 Ahaw = 13 baktun = 52,000 tun, (= 7,200 Tzolkins = 93,600 months =144,000 weeks). It is just more than 5,125 years (1,872,000 kin). It too is a greater fractal of the Tzolkin that substitutes katun for tun.
Hence 13 x 20 katun = 260-katun Long Count.

The Mayan Calendar Date is written with a five-decimal count to show a day’s position within the; baktun (400 tun), katun (20 tun), tun (360 kin), vinal (20-kin month), and the kin. The Great Year has 13 baktun, so we write 13.0.0.0.0 for day one, and, for example, 12.9.6.1.0 for January 1, 2000.

The Long Count Cycle will end in Dec. 21, 2012 when it will again be 13.0.0.0.0, according to anthropologists who begin our current Count of just more than 5,125 years from in Aug. 31, 3113 B.C.


The Mayans followed the 52-year Cycle and Fractal Time.