Maya calendar
Encyclopedia
The Maya calendar is a system of calendar
Calendar
A calendar is a system of organizing days for social, religious, commercial, or administrative purposes. This is done by giving names to periods of time, typically days, weeks, months, and years. The name given to each day is known as a date. Periods in a calendar are usually, though not...

s and almanac
Almanac
An almanac is an annual publication that includes information such as weather forecasts, farmers' planting dates, and tide tables, containing tabular information in a particular field or fields often arranged according to the calendar etc...

s used in the Maya civilization
Maya civilization
The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as for its art, architecture, and mathematical and astronomical systems. Initially established during the Pre-Classic period The Maya is a Mesoamerican...

 of pre-Columbian
Pre-Columbian era
The pre-Columbian era incorporates all period subdivisions in the history and prehistory of the Americas before the appearance of significant European influences on the American continents, spanning the time of the original settlement in the Upper Paleolithic period to European colonization during...

 Mesoamerica
Mesoamerica
Mesoamerica is a region and culture area in the Americas, extending approximately from central Mexico to Belize, Guatemala, El Salvador, Honduras, Nicaragua, and Costa Rica, within which a number of pre-Columbian societies flourished before the Spanish colonization of the Americas in the 15th and...

, and in many modern Maya communities in highland Guatemala
Guatemala
Guatemala is a country in Central America bordered by Mexico to the north and west, the Pacific Ocean to the southwest, Belize to the northeast, the Caribbean to the east, and Honduras and El Salvador to the southeast...

. and in Chiapas.

The essentials of the Maya calendric system are based upon a system which had been in common use throughout the region, dating back to at least the 5th century BCE. It shares many aspects with calendars employed by other earlier Mesoamerican civilizations, such as the Zapotec
Zapotec civilization
The Zapotec civilization was an indigenous pre-Columbian civilization that flourished in the Valley of Oaxaca of southern Mesoamerica. Archaeological evidence shows their culture goes back at least 2500 years...

 and Olmec
Olmec
The Olmec were the first major Pre-Columbian civilization in Mexico. They lived in the tropical lowlands of south-central Mexico, in the modern-day states of Veracruz and Tabasco....

, and contemporary or later ones such as the Mixtec
Mixtec
The Mixtec are indigenous Mesoamerican peoples inhabiting the Mexican states of Oaxaca, Guerrero and Puebla in a region known as La Mixteca. The Mixtecan languages form an important branch of the Otomanguean language family....

 and Aztec calendar
Aztec calendar
The Aztec calendar is the calendar system that was used by the Aztecs as well as other Pre-Columbian peoples of central Mexico. It is one of the Mesoamerican calendars, sharing the basic structure of calendars from throughout ancient Mesoamerica....

s. Although the Mesoamerican calendar
Mesoamerican calendars
Mesoamerican calendars are the calendrical systems devised and used by the pre-Columbian cultures of Mesoamerica. In addition to the basic function of a calendar—defining and organizing periods of time in a way that allows events to be fixed, ordered and noted relative to each other and some...

 did not originate with the Maya, their subsequent extensions and refinements of it were the most sophisticated. Along with those of the Aztecs, the Maya calendars are the best-documented and most completely understood.

By the Maya mythological
Maya mythology
Mayan mythology is part of Mesoamerican mythology and comprises all of the Mayan tales in which personified forces of nature, deities, and the heroes interacting with these play the main roles...

 tradition, as documented in Colonial Yucatec accounts and reconstructed from Late Classic and Postclassic inscriptions, the deity Itzamna
Itzamna
In Yucatec Maya mythology, Itzamna was the name of an upper god and creator deity thought to be residing in the sky. Little is known about him, but scattered references are present in early-colonial Spanish reports and dictionaries. Twentieth-century Lacandon lore includes tales about a creator...

 is frequently credited with bringing the knowledge of the calendar system to the ancestral Maya, along with writing
Writing system
A writing system is a symbolic system used to represent elements or statements expressible in language.-General properties:Writing systems are distinguished from other possible symbolic communication systems in that the reader must usually understand something of the associated spoken language to...

 in general and other foundational aspects of Maya culture.

Overview

The 260 day count of days is commonly known to scholars as the Tzolkin
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

, or Tzolk'in in the revised orthography
Orthography
The orthography of a language specifies a standardized way of using a specific writing system to write the language. Where more than one writing system is used for a language, for example Kurdish, Uyghur, Serbian or Inuktitut, there can be more than one orthography...

 of the Academia de las Lenguas Mayas de Guatemala. The Tzolk'in was combined with a 365-day vague solar year known as the Haab
Haab'
The Haab is part of the Maya calendric system. It was the Maya version of the 365-day calendar known to many of the pre-Columbian cultures of Mesoamerica...

, or Haab year , to form a synchronized cycle lasting for 52 Haab's, called the Calendar Round
Calendar round
In the Mesoamerican calendars, calendar round dates are composed by interlacing the dates of a 260-day period with dates from a 365-day period...

. Smaller cycles of 13 days (the trecena
Trecena
A trecena is a 13-day period used in pre-Columbian Mesoamerican calendars. The 260-day calendar was divided into 20 trecenas. Trecena is derived from the Spanish chroniclers and translates to 'a group of thirteen' in the same way that a dozen relates to the number twelve...

) and 20 days (the veintena
Veintena
A veintena is the Spanish-derived name for a 20-day period used in pre-Columbian Mesoamerican calendars. The division is often casually referred to as a "month", although it is not coordinated with the lunar cycle...

) were important components of the Tzolk'in and Haab' cycles, respectively. The Calendar Round is still in use by many groups in the Guatemalan highlands.

A different calendar was used to track longer periods of time, and for the inscription of calendar date
Calendar date
A date in a calendar is a reference to a particular day represented within a calendar system. The calendar date allows the specific day to be identified. The number of days between two dates may be calculated. For example, "24 " is ten days after "14 " in the Gregorian calendar. The date of a...

s (i.e., identifying when one event occurred in relation to others). This is the
Long Count
Mesoamerican Long Count calendar
The Mesoamerican Long Count calendar is a non-repeating, vigesimal and base-18 calendar used by several Pre-Columbian Mesoamerican cultures, most notably the Maya. For this reason, it is sometimes known as the Maya Long Count calendar...

. It is a count of days since a mythological starting-point. According to the correlation between the Long Count and Western calendars accepted by the great majority of Maya researchers (known as the Goodman-Martinez-Thompson, or GMT, correlation), this starting-point is equivalent to August 11, 3114 BCE in the proleptic Gregorian calendar
Proleptic Gregorian calendar
The proleptic Gregorian calendar is produced by extending the Gregorian calendar backward to dates preceding its official introduction in 1582.-Usage:...

 or 6 September in the Julian calendar
Julian calendar
The Julian calendar began in 45 BC as a reform of the Roman calendar by Julius Caesar. It was chosen after consultation with the astronomer Sosigenes of Alexandria and was probably designed to approximate the tropical year .The Julian calendar has a regular year of 365 days divided into 12 months...

 (−3113 astronomical). The GMT correlation was chosen by John Eric Sydney Thompson in 1935 on the basis of earlier correlations by Joseph Goodman in 1905 (August 11), Juan Martínez Hernández in 1926 (August 12), and Thompson himself in 1927 (August 13). By its linear nature, the Long Count was capable of being extended to refer to any date far into the past or future. This calendar involved the use of a positional notation
Positional notation
Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations for its use of the same symbol for the different orders of magnitude...

 system, in which each position signified an increasing multiple
Multiple (mathematics)
In mathematics, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n , which is called the multiplier or coefficient. If a is not zero, this is equivalent to saying that b/a is an integer...

 of the number of days. The Maya numeral system
Maya numerals
Maya Numerals were a vigesimal numeral system used by the Pre-Columbian Maya civilization.The numerals are made up of three symbols; zero , one and five...

 was essentially vigesimal
Vigesimal
The vigesimal or base 20 numeral system is based on twenty .- Places :...

 (i.e., base
Numeral system
A numeral system is a writing system for expressing numbers, that is a mathematical notation for representing numbers of a given set, using graphemes or symbols in a consistent manner....

-20), and each unit of a given position represented 20 times the unit of the position which preceded it. An important exception was made for the second-order place value, which instead represented 18 × 20, or 360 days, more closely approximating the solar year than would 20 × 20 = 400 days. It should be noted however that the cycles of the Long Count are independent of the solar year.

Many Maya Long Count inscriptions contain a supplementary series, which provides information on the lunar phase
Lunar phase
A lunar phase or phase of the moon is the appearance of the illuminated portion of the Moon as seen by an observer, usually on Earth. The lunar phases change cyclically as the Moon orbits the Earth, according to the changing relative positions of the Earth, Moon, and Sun...

, number of the current lunation
Lunation
Lunation is the mean time for one lunar phase cycle .  It is on average 29.530589 days, or 29 days 12 hours 44 minutes and 3 seconds...

 in a series of six and which of the nine Lords of the Night
Lords of the Night
In Mesoamerican calendars, the Lords of the Night are a set of nine gods that ruled over a particular night. They were cyclical, so that same god recurred every nine nights.In the Aztec calendar, the Lords of the night are...

 rules.

A 584-day Venus cycle was also maintained, which tracked the heliacal rising
Heliacal rising
The heliacal rising of a star occurs when it first becomes visible above the eastern horizon for a brief moment just before sunrise, after a period of time when it had not been visible....

s of Venus
Venus
Venus is the second planet from the Sun, orbiting it every 224.7 Earth days. The planet is named after Venus, the Roman goddess of love and beauty. After the Moon, it is the brightest natural object in the night sky, reaching an apparent magnitude of −4.6, bright enough to cast shadows...

 as the morning and evening stars. Many events in this cycle were seen as being astrologically
Astrology
Astrology consists of a number of belief systems which hold that there is a relationship between astronomical phenomena and events in the human world...

 inauspicious and baleful, and occasionally warfare was astrologically timed
Electional astrology
Electional astrology, also known as event astrology, is a branch found in most traditions of astrology in which a practitioner decides the most appropriate time for an event based on the astrological auspiciousness of that time...

 to coincide with stages in this cycle.

Less-prevalent or poorly understood cycles, combinations and calendar progressions were also tracked. An 819-day Count is attested in a few inscriptions. Repeating sets of 9-day (see below "Nine lords of the night") and 13-day intervals associated with different groups of deities
Maya mythology
Mayan mythology is part of Mesoamerican mythology and comprises all of the Mayan tales in which personified forces of nature, deities, and the heroes interacting with these play the main roles...

, animals, and other significant concepts are also known.

Maya concepts of time

With the development of the place-notational Long Count calendar (believed to have been inherited from other Mesoamerican cultures), the Maya had an elegant system with which events could be recorded in a linear relationship to one another, and also with respect to the calendar ("linear time") itself. In theory, this system could readily be extended to delineate any length of time desired, by simply adding to the number of higher-order place markers used (and thereby generating an ever-increasing sequence of day-multiples, each day in the sequence uniquely identified by its Long Count number). In practice, most Maya Long Count inscriptions confine themselves to noting only the first five coefficients in this system (a b'ak'tun-count), since this was more than adequate to express any historical or current date (20 b'ak'tuns cover 7,885 solar years). Even so, example inscriptions exist which noted or implied lengthier sequences, indicating that the Maya well understood a linear (past-present-future) conception of time.

However, and in common with other Mesoamerican societies, the repetition of the various calendric cycles, the natural cycles of observable phenomena, and the recurrence and renewal of death-rebirth imagery in their mythological traditions were important influences upon Maya societies. This conceptual view, in which the "cyclical nature" of time is highlighted, was a pre-eminent one, and many rituals were concerned with the completion and re-occurrences of various cycles. As the particular calendric configurations were once again repeated, so too were the "supernatural" influences with which they were associated. Thus it was held that particular calendar configurations had a specific "character" to them, which would influence events on days exhibiting that configuration. Divination
Divination
Divination is the attempt to gain insight into a question or situation by way of an occultic standardized process or ritual...

s could then be made from the augur
Augur
The augur was a priest and official in the classical world, especially ancient Rome and Etruria. His main role was to interpret the will of the gods by studying the flight of birds: whether they are flying in groups/alone, what noises they make as they fly, direction of flight and what kind of...

ies associated with a certain configuration, since events taking place on some future date would be subject to the same influences as its corresponding previous cycle dates. Events and ceremonies would be timed to coincide with auspicious dates, and avoid inauspicious ones.

The completion of significant calendar cycles ("period endings"), such as a k'atun-cycle
Katun (Maya calendar)
A k'atun or k'atun-cycle is a unit of time in the Maya calendar equal to 20 tuns or 7,200 days, equivalent to 19.713 tropical years. It is the 2nd digit on the normal Maya long count date...

, were often marked by the erection and dedication of specific monuments (mostly stela inscriptions, but sometimes twin-pyramid complexes such as those in Tikal
Tikal
Tikal is one of the largest archaeological sites and urban centres of the pre-Columbian Maya civilization. It is located in the archaeological region of the Petén Basin in what is now northern Guatemala...

 and Yaxha
Yaxha
Yaxha is a Mesoamerican archaeological site in the northeast of the Petén Basin region, and a former ceremonial center and city of the pre-Columbian Maya civilization. Located in the modern-day department of Petén, northern Guatemala, it is approximately 30 km southeast from Tikal, between the...

), commemorating the completion, accompanied by dedicatory ceremonies.

A cyclical interpretation is also noted in Maya creation accounts, in which the present world and the humans in it were preceded by other worlds (one to five others, depending on the tradition) which were fashioned in various forms by the gods, but subsequently destroyed. The present world also had a tenuous existence, requiring the supplication and offerings of periodic sacrifice to maintain the balance of continuing existence. Similar themes are found in the creation accounts of other Mesoamerican societies.

Tzolk'in

The tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

(in modern Maya orthography
Orthography
The orthography of a language specifies a standardized way of using a specific writing system to write the language. Where more than one writing system is used for a language, for example Kurdish, Uyghur, Serbian or Inuktitut, there can be more than one orthography...

; also commonly written
tzolkin) is the name commonly employed by Mayanist researchers for the Maya Sacred Round or 260-day calendar. The word tzolk'in is a neologism coined in Yucatec Maya, to mean "count of days" (Coe 1992). The various names of this calendar as used by precolumbian Maya peoples are still debated by scholars. The Aztec
Aztec
The Aztec people were certain ethnic groups of central Mexico, particularly those groups who spoke the Nahuatl language and who dominated large parts of Mesoamerica in the 14th, 15th and 16th centuries, a period referred to as the late post-classic period in Mesoamerican chronology.Aztec is the...

 calendar equivalent was called
Tonalpohualli
Tonalpohualli
The tonalpohualli, a Nahuatl word meaning "count of days", is a 260-day sacred period in use in pre-Columbian Mesoamerica, especially among the Aztecs. This calendrical period is neither solar nor lunar, but rather consists of 20 trecena, or 13-day periods...

, in the Nahuatl language
Nahuatl
Nahuatl is thought to mean "a good, clear sound" This language name has several spellings, among them náhuatl , Naoatl, Nauatl, Nahuatl, Nawatl. In a back formation from the name of the language, the ethnic group of Nahuatl speakers are called Nahua...

.

The tzolk'in calendar combines twenty day names with the thirteen numbers of the
trecena
Trecena
A trecena is a 13-day period used in pre-Columbian Mesoamerican calendars. The 260-day calendar was divided into 20 trecenas. Trecena is derived from the Spanish chroniclers and translates to 'a group of thirteen' in the same way that a dozen relates to the number twelve...

 cycle to produce 260 unique days. It is used to determine the time of religious and ceremonial events and for divination. Each successive day is numbered from 1 up to 13 and then starting again at 1. Separately from this, every day is given a name in sequence from a list of 20 day names:
Tzolk'in calendar: named days and associated glyph
Glyph
A glyph is an element of writing: an individual mark on a written medium that contributes to the meaning of what is written. A glyph is made up of one or more graphemes....

s
Seq.
Num. 1
Day
Name 2
Glyph
example 3
16th C.
Yucatec 4
reconstructed
Classic Maya 5
Seq.
Num. 1
Day
Name 2
Glyph
example 3
16th C.
Yucatec 4
reconstructed
Classic Maya 5
01 Imix' Imix Imix (?) / Ha' (?) 11 Chuwen Chuen (unknown)
02 Ik' Ik Ik' 12 Eb' Eb (unknown)
03 Ak'b'al Akbal Ak'b'al (?) 13 B'en Ben C'klab
04 K'an Kan K'an (?) 14 Ix Ix Hix (?)
05 Chikchan Chicchan (unknown) 15 Men Men (unknown)
06 Kimi Cimi Cham (?) 16 K'ib' Cib (unknown)
07 Manik' Manik Manich' (?) 17 Kab'an Caban Chab' (?)
08 Lamat Lamat Ek' (?) 18 Etz'nab' Etznab (unknown)
09 Muluk Muluc (unknown) 19 Kawak Cauac (unknown)
10 Ok Oc (unknown) 20 Ajaw Ahau Ajaw
NOTES:
  1. The sequence number of the named day in the Tzolk'in calendar
  2. Day name, in the standardized and revised orthography of the Guatemalan Academia de Lenguas Mayas
  3. An example glyph (logogram
    Logogram
    A logogram, or logograph, is a grapheme which represents a word or a morpheme . This stands in contrast to phonograms, which represent phonemes or combinations of phonemes, and determinatives, which mark semantic categories.Logograms are often commonly known also as "ideograms"...

    ) for the named day. Note that for most of these several different forms are recorded; the ones shown here are typical of carved monumental inscriptions (these are "cartouche
    Cartouche
    In Egyptian hieroglyphs, a cartouche is an ellipse with a horizontal line at one end, indicating that the text enclosed is a royal name, coming into use during the beginning of the Fourth Dynasty under Pharaoh Sneferu, replacing the earlier serekh...

    " versions)
  4. Day name, as recorded from 16th century Yukatek Maya accounts, principally Diego de Landa
    Diego de Landa
    Diego de Landa Calderón was a Spanish Bishop of the Roman Catholic Archdiocese of Yucatán. He left future generations with a mixed legacy in his writings, which contain much valuable information on pre-Columbian Maya civilization, and his actions which destroyed much of that civilization's...

    ; this orthography has (until recently) been widely used
  5. In most cases, the actual day name as spoken in the time of the Classic Period (ca. 200–900) when most inscriptions were made is not known. The versions given here (in Classic Maya
    Classic Maya language
    The Classic Maya language is the oldest historically attested member of the Mayan language family. It is the main language documented in the pre-Columbian inscriptions of the Classic Era Maya civilization.- Relationships :...

    , the main language of the inscriptions) are reconstructed on the basis of phonological evidence, if available; a '?' symbol indicates the reconstruction is tentative.


Some systems started the count with 1 Imix', followed by 2 Ik', 3 Ak'b'al, etc. up to 13 B'en. The trecena day numbers then start again at 1 while the named-day sequence continues onwards, so the next days in the sequence are 1 Ix, 2 Men, 3 K'ib', 4 Kab'an, 5 Etz'nab', 6 Kawak, and 7 Ajaw. With all twenty named days used, these now began to repeat the cycle while the number sequence continues, so the next day after 7 Ajaw is 8 Imix'. The repetition of these interlocking 13- and 20-day cycles therefore takes 260 days to complete (that is, for every possible combination of number/named day to occur once).

Origin of the Tzolk'in

The exact origin of the Tzolk'in is not known, but there are several theories.
  • One theory is that the calendar came from mathematical operations based on the numbers thirteen and twenty, which were important numbers to the Maya. The numbers multiplied together equal 260.
  • Another theory is that the 260-day period came from the length of human pregnancy
    Gestation
    Gestation is the carrying of an embryo or fetus inside a female viviparous animal. Mammals during pregnancy can have one or more gestations at the same time ....

    . This is close to the average number of days between the first missed menstrual period and birth, unlike Naegele's rule
    Naegele's rule
    Naegele's Rule is a standard way of calculating the due date for a pregnancy. The rule estimates the expected date of delivery by adding one year, subtracting three months, and adding seven days to the first day of a woman's last menstrual period...

     which is 40 weeks (280 days) between the
    last menstrual period and birth. It is postulated that midwives
    Midwifery
    Midwifery is a health care profession in which providers offer care to childbearing women during pregnancy, labour and birth, and during the postpartum period. They also help care for the newborn and assist the mother with breastfeeding....

     originally developed the calendar to predict babies' expected birth dates. The deity Ix Chel is thus of particular interest due to her mythic relation to the calendar.
  • A third theory comes from understanding of astronomy, geography and archaeology. The mesoamerican calendar probably originated with the Olmecs, and a settlement existed at Izapa, in southeast Chiapas Mexico, before 1200 BC. There, at a latitude of about 15°
    Degree (angle)
    A degree , usually denoted by ° , is a measurement of plane angle, representing 1⁄360 of a full rotation; one degree is equivalent to π/180 radians...

     N, the Sun passes through zenith twice a year, and there are 260 days between zenithal passages, and gnomon
    Gnomon
    The gnomon is the part of a sundial that casts the shadow. Gnomon is an ancient Greek word meaning "indicator", "one who discerns," or "that which reveals."It has come to be used for a variety of purposes in mathematics and other fields....

    s (used generally for observing the path of the Sun and in particular zenithal passages), were found at this and other sites. The sacred almanac may well have been set in motion on August 13, 1359 BC, in Izapa. Vincent H. Malmström, a geographer who suggested this location and date, outlines his reasons (while offering strong arguments against both of the former explanations):

  • (1) Astronomically, it lay at the only latitude in North America where a 260-day interval (the length of the "strange" sacred almanac used throughout the region in pre-Columbian times) can be measured between vertical sun positions–an interval which happens to begin on the 13th of August–the day the peoples of the Mesoamerica believed that the present world was created;
  • (2) Historically, it was the only site at this latitude which was old enough to have been the cradle of the sacred almanac, which at that time (1973) was thought to date to the 4th or 5th centuries BCE; and
  • (3) Geographically, it was the only site along the required parallel of latitude that lay in a tropical lowland ecological niche where such creatures as alligators, monkeys, and iguanas were native–all of which were used as day-names in the sacred almanac.


  • A fourth theory is that the calendar is based on the crops. From planting to harvest is approximately 260 days.

Haab'

Haab' months: names and glyphs
Maya script
The Maya script, also known as Maya glyphs or Maya hieroglyphs, is the writing system of the pre-Columbian Maya civilization of Mesoamerica, presently the only Mesoamerican writing system that has been substantially deciphered...

 in sequence
Seq.
Num.
Yucatec
name
Hieroglyph
Meaning of glyph Seq.
Num.
Yucatec
name
Hieroglyph
Meaning of glyph
1 Pop mat 10 Yax green storm
2 Wo' black conjunction 11 Sak' white storm
3 Sip red conjunction 12 Keh red storm
4 Sotz' bat 13 Mak enclosed
5 Sek watering time 14 K'ank'in yellow sun
6 Xul dog 15 Muwan' owl
7 Yaxk'in' new sun 16 Pax planting time
8 Mol water 17 K'ayab turtle
9 Ch'en black storm 18 Kumk'u granary
19 Wayeb' five unlucky days

The Haab' was the Maya solar calendar made up of eighteen months of twenty days each plus a period of five days ("nameless days") at the end of the year known as Wayeb (or Uayeb in 16th C. orthography). The five days of Wayeb', were thought to be a dangerous time. Foster (2002) writes, "During Wayeb, portals between the mortal realm and the Underworld dissolved. No boundaries prevented the ill-intending deities from causing disasters." To ward off these evil spirits, the Maya had customs and rituals they practiced during Wayeb'. For example, people avoided leaving their houses and washing or combing their hair. Bricker (1982) estimates that the Haab' was first used around 550 BC with a starting point of the winter solstice
Winter solstice
Winter solstice may refer to:* Winter solstice, astronomical event* Winter Solstice , former band* Winter Solstice: North , seasonal songs* Winter Solstice , 2005 American film...

.

The Haab' month names are known today by their corresponding names in colonial-era Yukatek Maya, as transcribed by 16th century sources (in particular, Diego de Landa
Diego de Landa
Diego de Landa Calderón was a Spanish Bishop of the Roman Catholic Archdiocese of Yucatán. He left future generations with a mixed legacy in his writings, which contain much valuable information on pre-Columbian Maya civilization, and his actions which destroyed much of that civilization's...

 and books such as the Chilam Balam
Chilam Balam
The so-called Books of Chilam Balam are handwritten, chiefly 18th-century Mayan miscellanies, named after the small Yucatec towns where they were originally kept, and preserving important traditional knowledge in which indigenous Mayan and early Spanish traditions have coalesced...

of Chumayel). Phonemic analyses of Haab' glyph names in pre-Columbian Maya inscriptions
Maya script
The Maya script, also known as Maya glyphs or Maya hieroglyphs, is the writing system of the pre-Columbian Maya civilization of Mesoamerica, presently the only Mesoamerican writing system that has been substantially deciphered...

 have demonstrated that the names for these twenty-day periods varied considerably from region to region and from period to period, reflecting differences in the base language(s) and usage in the Classic and Postclassic eras predating their recording by Spanish sources.

Each day in the Haab' calendar was identified by a day number in the month followed by the name of the month. Day numbers began with a glyph translated as the "seating of" a named month, which is usually regarded as day 0 of that month, although a minority treat it as day 20 of the month preceding the named month. In the latter case, the seating of Pop is day 5 of Wayeb'. For the majority, the first day of the year was 0 Pop (the seating of Pop). This was followed by 1 Pop, 2 Pop as far as 19 Pop then 0 Wo, 1 Wo and so on.

As a calendar for keeping track of the seasons, the Haab' was a bit inaccurate, since it treated the year as having exactly 365 days, and ignored the extra quarter day (approximately) in the actual tropical year
Tropical year
A tropical year , for general purposes, is the length of time that the Sun takes to return to the same position in the cycle of seasons, as seen from Earth; for example, the time from vernal equinox to vernal equinox, or from summer solstice to summer solstice...

. This meant that the seasons moved with respect to the calendar year by a quarter day each year, so that the calendar months named after particular seasons no longer corresponded to these seasons after a few centuries. The Haab' is equivalent to the wandering 365-day year of the ancient Egypt
Ancient Egypt
Ancient Egypt was an ancient civilization of Northeastern Africa, concentrated along the lower reaches of the Nile River in what is now the modern country of Egypt. Egyptian civilization coalesced around 3150 BC with the political unification of Upper and Lower Egypt under the first pharaoh...

ians.

Calendar Round

A Calendar Round date is a date that gives both the Tzolk'in and Haab'. This date will repeat after 52 Haab' years or 18,980 days, a Calendar Round. For example, the current creation started on 4 Ahau 8 Kumk'u. When this date recurs it is known as a Calendar Round completion.

Arithmetically, the duration of the Calendar Round can be explained in various ways. One way is to consider that the least common multiple
Least common multiple
In arithmetic and number theory, the least common multiple of two integers a and b, usually denoted by LCM, is the smallest positive integer that is a multiple of both a and b...

 of 260 and 365 is 18980 (73 X 260 Tzolk’in days equalling 52 X 365 Haab’ days).

Not every possible combination of Tzolk'in and Haab' can occur. For Tzolk'in days Imix, Kimi, Chwen and Kib', the Haab' day can only be 4, 9, 14 or 19; for Ik', Manik', Eb' and Kab'an, the Haab' day can only be 0, 5, 10 or 15; for Akb'al', Lamat, B'en and Etz'nab', the Haab' day can only be 1, 6, 11 or 16; for K'an, Muluk, Ix and Kawak, the Haab' day can only be 2, 7, 12 or 17; and for Chikchan, Ok, Men and Ajaw, the Haab' day can only be 3, 8, 13 or 18.

Year Bearer

A "Year Bearer" is a Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 day name that occurs on the first day of the Haab'
Haab'
The Haab is part of the Maya calendric system. It was the Maya version of the 365-day calendar known to many of the pre-Columbian cultures of Mesoamerica...

. If the first day of the Haab' is 0 Pop, then each 0 Pop will coincide with a Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 date, for example, 1 Ik'  0 Pop. Since there are twenty Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 day names and the Haab'
Haab'
The Haab is part of the Maya calendric system. It was the Maya version of the 365-day calendar known to many of the pre-Columbian cultures of Mesoamerica...

 year has 365 days (20*18 + 5), the Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 name for each succeeding Haab'
Haab'
The Haab is part of the Maya calendric system. It was the Maya version of the 365-day calendar known to many of the pre-Columbian cultures of Mesoamerica...

 zero day will be incremented by 5 in the cycle of day names like this:

1 Ik'   0 Pop

2 Manik'   0 Pop

3 Eb'   0 Pop

4 Kab'an   0 Pop

5 Ik'   0 Pop ...

Only these four of the Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 day names can coincide with 0 Pop, and these four are called the "Year Bearers".

"Year Bearer" literally translates a Mayan concept. Its importance resides in two facts. For one, the four years headed by the Year Bearers are named after them and share their characteristics; therefore, they also have their own prognostications and patron deities. Moreover, since the Year Bearers are geographically identified with boundary markers or mountains, they help define the local community.

The classic system of Year Bearers described above is found at Tikal and in the Dresden Codex
Dresden Codex
The Dresden Codex, also known as the Codex Dresdensis, is a pre-Columbian Maya book of the eleventh or twelfth century of the Yucatecan Maya in Chichén Itzá. The Maya codex is believed to be a copy of an original text of some three or four hundred years earlier...

. During the Late Classic period a different set of Year Bearers was in use in Campeche. In this system, the Year Bearers were the Tzolk'in
Tzolk'in
Tzolk'in is the name bestowed by Mayanists on the 260-day Mesoamerican calendar used by the Maya civilization of pre-Columbian Mesoamerica.The tzolk'in, the basic cycle of the Maya calendar, is a pre-eminent...

 that coincided with 1 Pop. These were Ak'b'al, Lamat, B'en and Edz'nab. During the Post-Classic period in Yucatán a third system was in use. In this system the Year Bearers were the days that coincided with 2 Pop: K'an, Muluc, Ix and Kawak. This system is found in the Chronicle of Oxkutzcab. In addition, just before the Spanish conquest in Mayapan the Maya began to number the days of the Haab' from 1 to 20. In this system the Year Bearers are the same as in the 1 Pop - Campeche system. The Classic Year Bearer system is still in use in the Guatemalan highlands and in Veracruz, Oaxaca and Chiapas, Mexico.

Long Count



Since Calendar Round dates repeat every 18,980 days, approximately 52 solar years, the cycle repeats roughly once each lifetime, so a more refined method of dating was needed if history was to be recorded accurately. To specify dates over periods longer than 52 years, Mesoamericans used the Long Count calendar.

The Maya name for a day was k'in. Twenty of these k'ins are known as a winal or uinal. Eighteen winals make one tun. Twenty tuns are known as a k'atun. Twenty k'atuns make a b'ak'tun.

The Long Count calendar identifies a date by counting the number of days from the Mayan creation date 4 Ahaw, 8 Kumk'u (August 11, 3114 BC in the proleptic Gregorian calendar
Proleptic Gregorian calendar
The proleptic Gregorian calendar is produced by extending the Gregorian calendar backward to dates preceding its official introduction in 1582.-Usage:...

 or September 6 in the Julian calendar
Julian calendar
The Julian calendar began in 45 BC as a reform of the Roman calendar by Julius Caesar. It was chosen after consultation with the astronomer Sosigenes of Alexandria and was probably designed to approximate the tropical year .The Julian calendar has a regular year of 365 days divided into 12 months...

). But instead of using a base-10 (decimal
Decimal
The decimal numeral system has ten as its base. It is the numerical base most widely used by modern civilizations....

) scheme like Western numbering, the Long Count days were tallied in a modified base-20 scheme. Thus 0.0.0.1.5 is equal to 25, and 0.0.0.2.0 is equal to 40. As the winal unit resets after only counting to 18, the Long Count consistently uses base-20 only if the tun is considered the primary unit of measurement, not the k'in; with the k'in and winal units being the number of days in the tun. The Long Count 0.0.1.0.0 represents 360 days, rather than the 400 in a purely base-20 (vigesimal
Vigesimal
The vigesimal or base 20 numeral system is based on twenty .- Places :...

) count.
Table of Long Count units
Days Long Count period Long Count period Approx solar years
1 = 1 K'in    
20 = 20 K'in = 1 Winal 0.0548
360 = 18 Winal = 1 Tun 0.985
7,200 = 20 Tun = 1 K'atun 19.7
144,000 = 20 K'atun = 1 B'ak'tun 394.3


There are also four rarely used higher-order cycles: piktun, kalabtun, k'inchiltun, and alautun.

Since the Long Count dates are unambiguous, the Long Count was particularly well suited to use on monuments. The monumental inscriptions would not only include the 5 digits of the Long Count, but would also include the two tzolk'in characters followed by the two haab' characters.

Misinterpretation of the Mesoamerican Long Count calendar
Mesoamerican Long Count calendar
The Mesoamerican Long Count calendar is a non-repeating, vigesimal and base-18 calendar used by several Pre-Columbian Mesoamerican cultures, most notably the Maya. For this reason, it is sometimes known as the Maya Long Count calendar...

 is the basis for a New Age
New Age
The New Age movement is a Western spiritual movement that developed in the second half of the 20th century. Its central precepts have been described as "drawing on both Eastern and Western spiritual and metaphysical traditions and then infusing them with influences from self-help and motivational...

 belief that a cataclysm will take place on December 21, 2012
2012 phenomenon
The 2012 phenomenon comprises a range of eschatological beliefs that cataclysmic or transformative events will occur on December 21, 2012. This date is regarded as the end-date of a 5,125-year-long cycle in the Mesoamerican Long Count calendar...

. December 21, 2012 is simply the day that the calendar will go to the next b'ak'tun
Baktun
A baktun is 20 katun cycles of the ancient Maya Long Count Calendar. It contains 144,000 days, equivalent to 394.26 tropical years. The Classic period of Maya civilization occurred during the 8th and 9th baktuns of the current calendrical cycle. The current baktun will end, or be completed, on...

.

Sandra Noble, executive director of the Mesoamerican research organization FAMSI, notes that "for the ancient Maya, it was a huge celebration to make it to the end of a whole cycle". She considers the portrayal of December 2012 as a doomsday or cosmic-shift event to be "a complete fabrication and a chance for a lot of people to cash in." The 2009 science fiction apocalyptic disaster film 2012
2012 (film)
2012 is a 2009 American disaster film directed by Roland Emmerich. It stars John Cusack, Chiwetel Ejiofor, Amanda Peet, Oliver Platt, Thandie Newton, Danny Glover, and Woody Harrelson. It was produced by Emmerich's production company, Centropolis Entertainment and was distributed by Columbia Pictures...

is based on this belief.

Supplementary Series

Many Classic period inscriptions include a series of glyphs known as the Supplementary Series. The operation of this series was largely worked out by John E. Teeple
John E. Teeple
John Edgar Teeple was a chemical engineer who received the Perkin Medal in 1927 for his work on potash during World War I. He was also an American researcher and contributor to the field of Mesoamerican studies during the first half of the 20th century...

 (1874–1931). The Supplementary Series most commonly consists of the following elements:

Lords of the Night

Each night was ruled by one of the nine lords of the underworld. This nine day-cycle was usually written as two glyphs: a glyph that referred to the Nine Lords as a group, followed by a glyph for the lord that would rule the next night.

Lunar Series

A lunar Series generally is written as five glyphs that provide information about the current lunation
Lunation
Lunation is the mean time for one lunar phase cycle .  It is on average 29.530589 days, or 29 days 12 hours 44 minutes and 3 seconds...

, the number of the lunation in a series of six, the current ruling lunar deity and the length of the current lunation.

Moon age

The Maya counted the number of days in the current lunation. They started with zero on the first night they saw the thin crescent moon. The age of the moon was depicted by a set of glyphs that mayanists coined glyphs D and E:
  • D glyphs were used for lunar ages up to 19 days, with the number of days that passed from the new moon accompanied by a glyph that resembled a hand.

  • For lunar ages from 20 to 30, only the additional days from 20 were depicted accompanied by a glyph different from the first 20 days.

Lunation number and lunar deity

The Maya counted the lunation in a cycle of six, numbered zero through 5. Each one was ruled by one of the six Lunar Deities. This was written as two glyphs: a glyph for the completed lunation in the lunar count with a coefficient of 0 through 5 and a glyph for the lunar deity that ruled the current lunation. Teeple
John E. Teeple
John Edgar Teeple was a chemical engineer who received the Perkin Medal in 1927 for his work on potash during World War I. He was also an American researcher and contributor to the field of Mesoamerican studies during the first half of the 20th century...

 found that Quirigua Stela E (9.17.0.0.0) is lunar deity 2 and that most other inscriptions use this same moon number. It is an interesting date because it was a Ka'tun completion and a solar eclipse was visible in the Maya area two days later on the first unlucky day of Wayeb'.

Lunation length

The length of the lunar month is 29.53059 days so if you count the number of days in a lunation it will be either 29 or 30 days. The maya wrote whether the lunar month was 29 or 30 days as two glyphs: a glyph for lunation length followed by either a glyph made up of a moon glyph over a bundle with a suffix of 19 for a 29 day lunation or a moon glyph with a suffix of 10 for a 30 day lunation.

Short Count

In the kingdoms of Postclassic Yucatán, the linear Long Count notation fell into disuse and gave way to a cyclical Short Count of 13 katuns (or 260 tuns), in which each katun was named after its concluding day, Ahau ('Lord'). 1 Imix was selected as the recurrent 'first day' of the cycle, corresponding to 1 Cipactli
Cipactli
Cipactli 'Crocodile' or 'Caiman', was the first day of the Aztec divinatory count of 13 X 20 days , and Cipactonal 'Sign of Cipactli' was considered to have been the first diviner. In Aztec cosmology, the crocodile symbolized the earth floating in the primeval waters...

 in the Aztec day count. The cycle was counted from katun 11 Ahau to katun 13 Ahau, with the coefficients of the katuns' concluding days running in the order 11 – 9 – 7 – 5 – 3 – 1 – 12 – 10 – 8 – 6 – 4 – 2 – 13 Ahau (since a division of 20 × 360 days by 13 falls 2 days short). The concluding day 13 Ahau was followed by the re-entering first day 1 Imix. This is the system as found in the colonial Books of Chilam Balam
Chilam Balam
The so-called Books of Chilam Balam are handwritten, chiefly 18th-century Mayan miscellanies, named after the small Yucatec towns where they were originally kept, and preserving important traditional knowledge in which indigenous Mayan and early Spanish traditions have coalesced...

. In characteristic Mesoamerican fashion, these books project the cycle onto the landscape, with 13 Ahauob 'Lordships' dividing the land of Yucatán into 13 'kingdoms'.

Venus cycle

Another important calendar for the Maya was the Venus
Venus
Venus is the second planet from the Sun, orbiting it every 224.7 Earth days. The planet is named after Venus, the Roman goddess of love and beauty. After the Moon, it is the brightest natural object in the night sky, reaching an apparent magnitude of −4.6, bright enough to cast shadows...

 cycle. The Maya kings had skilled astronomer
Astronomer
An astronomer is a scientist who studies celestial bodies such as planets, stars and galaxies.Historically, astronomy was more concerned with the classification and description of phenomena in the sky, while astrophysics attempted to explain these phenomena and the differences between them using...

s who could calculate the Venus cycle with great accuracy. There are six pages in the Postclassic Dresden Codex
Dresden Codex
The Dresden Codex, also known as the Codex Dresdensis, is a pre-Columbian Maya book of the eleventh or twelfth century of the Yucatecan Maya in Chichén Itzá. The Maya codex is believed to be a copy of an original text of some three or four hundred years earlier...

 devoted to the accurate calculation of the heliacal rising of Venus. The Maya were able to achieve such accuracy by careful observation over many years. Venus was often referred to as both "The Morning Star" and "The Evening Star" because of its visibility during both times. This makes Venus unique. There are various theories as to why the Venus cycle was especially important for the Maya. Across Mesoamerica
Mesoamerica
Mesoamerica is a region and culture area in the Americas, extending approximately from central Mexico to Belize, Guatemala, El Salvador, Honduras, Nicaragua, and Costa Rica, within which a number of pre-Columbian societies flourished before the Spanish colonization of the Americas in the 15th and...

, Venus was often depicted as "defeating" the Sun and the Moon, perhaps because of its persistent visibility after transitions from day-into-night (and vice-versa). Most scholars agree that Venus was associated with war and that the Maya used it to divine good times (called electional astrology
Electional astrology
Electional astrology, also known as event astrology, is a branch found in most traditions of astrology in which a practitioner decides the most appropriate time for an event based on the astrological auspiciousness of that time...

) for their coronations and wars. Maya rulers planned for wars to begin when Venus rose.

See also

  • Maya religion
    Maya religion
    The traditional Maya religion of western Honduras, Guatemala, Belize, and Mexico is a southeastern variant of Mesoamerican religion. As is the case with many other contemporary Mesoamerican religions, it results from centuries of symbiosis with Roman Catholicism...

  • Tres Zapotes Stela C
  • Mayanism
    Mayanism
    Mayanism is a non-codified eclectic collection of New Age beliefs, influenced in part by Pre-Columbian Maya mythology and some folk beliefs of the modern Maya peoples...

  • Lunar calendar
    Lunar calendar
    A lunar calendar is a calendar that is based on cycles of the lunar phase. A common purely lunar calendar is the Islamic calendar or Hijri calendar. A feature of the Islamic calendar is that a year is always 12 months, so the months are not linked with the seasons and drift each solar year by 11 to...


External links

The source of this article is wikipedia, the free encyclopedia.  The text of this article is licensed under the GFDL.
 
x
OK