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Muisca numerals were the numeric notation system used by the Muisca, one of the civilizations of the Americas before the Spanish conquest of the Muisca. Just like the Mayas, the Muisca had a vigesimal numerical system, based on multiples of twenty (Chibcha: gueta). The Muisca numerals were based on counting with fingers and toes. They had specific numbers from one to ten, yet for the numbers between eleven and nineteen they used "foot one" (11) to "foot nine" (19). The number 20 was the 'perfect' number for the Muisca which is visible in their calendar. To calculate higher numbers than 20 they used multiples of their 'perfect' number; gue-muyhica would be "20 times 4", so 80. To describe "50" they used "20 times 2 plus 10"; gue-bosa asaqui ubchihica, transcribed from guêboʒhas aſaqɣ hubchìhicâ. [1] In their calendar, which was lunisolar, they only counted from one to ten and twenty. Each number had a special meaning, related to their deities and certain animals, especially the abundant toads. [2]
For the representation of their numbers they used digits inspired by their natural surroundings, especially toads; ata ("one") and aca ("nine") were both derived from the animals so abundant on the Bogotá savanna and other parts of the Altiplano Cundiboyacense where the Muisca lived in their confederation.
The most important scholars who provided knowledge about the Muisca numerals were Bernardo de Lugo (1619), [1] Pedro Simón (17th century), Alexander von Humboldt and José Domingo Duquesne (late 18th and 19th century) and Liborio Zerda. [3] [4] [5] [6] [7]
The Muisca used a vigesimal counting system and counted primarily with their fingers and secondarily with their toes. Their system went from 1 to 10 and for higher numerations they used the prefix quihicha or qhicha, which means "foot" in their Chibcha language Muysccubun. Eleven became thus "foot one", twelve: "foot two", etc. As in the other pre-Columbian civilizations, the number 20 was special. It was the total number of all body extremities; fingers and toes. The Muisca used two forms to express twenty: "foot ten"; quihícha ubchihica or their exclusive word gueta, derived from gue, which means "house". Numbers between 20 and 30 were counted gueta asaqui ata ("twenty plus one"; 21), gueta asaqui ubchihica ("twenty plus ten"; 30). Larger numbers were counted as multiples of twenty; gue-bosa ("20 times 2"; 40), gue-hisca ("20 times 5"; 100). [3]
The numeral symbols were first provided by Duquesne and reproduced by Humboldt, [3] Acosta, and Zerda. These glyphs have been criticized and their authenticity questioned, as they are “practically nonexistent” in the surviving archaeological record, including the calendar stone from Choachí. Potentially, they might represent asterisms or months instead of numerals. [9]
Number | Humboldt, 1878 [3] | De Lugo, 1619 [1] |
---|---|---|
1 | ata | ata |
2 | bozha / bosa | boʒha |
3 | mica | mica |
4 | mhuyca / muyhica | mhuɣcâ |
5 | hicsca / hisca | hɣcſcâ |
6 | taa [10] | taa |
7 | qhupqa / cuhupqua | qhûpqâ |
8 | shuzha / suhuza | shûʒhâ |
9 | aca | aca |
10 | hubchibica / ubchihica | hubchìhicâ |
11 | quihicha ata | qhicħâ ata |
12 | quihicha bosa | qhicħâ boʒha |
13 | quihicha mica | qhicħâ mica |
14 | quihicha mhuyca | qhicħâ mhuɣcâ |
15 | quihicha hisca | qhicħâ hɣcſcâ |
16 | quihicha ta | qhicħâ ta |
17 | quihicha cuhupqua | qhicħâ qhûpqâ |
18 | quihicha suhuza | qhicħâ shûʒhâ |
19 | quihicha aca | qhicħâ aca |
20 | gueta | guêata |
21 | guetas asaqui ata | guêatas aſaqɣ ata |
30 | guetas asaqui ubchihica | guêatas aſaqɣ hubchìhicâ |
40 | gue-bosa | guêboʒha |
50 | gue-bosa asaqui ubchihica | guêboʒhas aſaqɣ hubchìhicâ |
60 | gue-mica | guêmica |
70 | gue-mica asaqui ubchihica | guêmicas aſaqɣ hubchìhicâ |
80 | gue-muyhica | guêmhuɣcâ |
90 | gue-muyhica asaqui ubchihica | guêmhuɣcâs aſaqɣ hubchìhicâ |
99 | gue-muyhica asaqui quihicha aca | guêmhuɣcâs aſaqɣ qhicħâ aca |
100 | gue-hisca | guêhɣcſcâ |
101 | gue-hisca asaqui ata | guêhɣcſcâs aſaqɣ ata |
110 | gue-hisca asaqui hubchihica | guêhɣcſcâs aſaqɣ hubchìhicâ |
120 | gue-ta | guêta |
150 | gue-cuhupqua asaqui hubchihica | guêqhûpqâs aſaqɣ hubchìhicâ |
199 | gue-aca asaqui quihicha aca | guêacas aſaqɣ qhicħâ aca |
200 | gue-ubchihica | guêhubchìhicâ |
250 | gue-quihicha bozha asaqui hubchihica | guêqhicħâ boʒhas aſaqɣ hubchìhicâ |
300 | gue-chihica hisca | guêqhicħâ hɣcſcâ |
365 | gue-chihica suhuza asaqui hisca | guêqhicħâ shûʒhâs aſaqɣ hɣcſcâ |
399 | gue-chihica aca asaqui quihicha aca | guêqhicħâ acas aſaqɣ qhicħâ aca |
The Muisca are an indigenous people and culture of the Altiplano Cundiboyacense, Colombia, that formed the Muisca Confederation before the Spanish conquest. The people spoke Muysccubun, a language of the Chibchan language family, also called Muysca and Mosca. They were encountered by conquistadors dispatched by the Spanish Empire in 1537 at the time of the conquest.
Chibcha, Mosca, Muisca, Muysca, or Muysca de Bogotá is a language spoken by the Muisca people of the Muisca Confederation, one of the many indigenous cultures of the Americas. The Muisca inhabit the Altiplano Cundiboyacense of what today is the country of Colombia.
The Spanish conquest of New Granada refers to the conquest by the Spanish monarchy of the Chibcha language-speaking nations of modern-day Colombia and Panama, mainly the Muisca and Tairona that inhabited present-day Colombia, beginning the Spanish colonization of the Americas. It is estimated that around 5.2 million people died as a result of Spanish Conquest, either by disease or direct conflict, this is roughly around 88% of the Pre-Columbian population of Colombia.
Bacatá is the name given to the main settlement of the Muisca Confederation on the Bogotá savanna. It mostly refers to an area, rather than an individual village, although the name is also found in texts referring to the modern settlement of Funza, in the centre of the savanna. Bacatá was the main seat of the zipa, the ruler of the Bogotá savanna and adjacent areas. The name of the Colombian capital, Bogotá, is derived from Bacatá, but founded as Santafe de Bogotá in the western foothills of the Eastern Hills in a different location than the original settlement Bacatá, west of the Bogotá River, eventually named after Bacatá as well.
Duit is an extinct Chibcha language, which had been spoken by the Muisca of present-day Boyacá, Colombia. The language appears in the modern name of the pre-Columbian settlement and last ruler Tundama; Duitama.
The Muisca Confederation was a loose confederation of different Muisca rulers in the central Andean highlands of what is today Colombia before the Spanish conquest of northern South America. The area, presently called Altiplano Cundiboyacense, comprised the current departments of Boyacá, Cundinamarca and minor parts of Santander.
The Muisca calendar was a lunisolar calendar used by the Muisca. The calendar was composed of a complex combination of months and three types of years were used; rural years, holy years, and common years. Each month consisted of thirty days and the common year of twenty months, as twenty was the 'perfect' number of the Muisca, representing the total of extremeties; fingers and toes. The rural year usually contained twelve months, but one leap month was added. This month represented a month of rest. The holy year completed the full cycle with 37 months.
Manuel Arturo Izquierdo Peña is a Colombian anthropologist who has contributed to the knowledge of the Muisca and other pre-Columbian cultures, among others San Agustín, Colombia. His main work has been on archaeoastronomy of the Muisca calendar.
Fray Pedro Simón was a Spanish franciscan friar, professor and chronicler of the indigenous peoples of modern-day Colombia and Venezuela, at the time forming the New Kingdom of Granada. Pedro Simón is one of the most important Muisca scholars forming the basis for later scholars such as Lucas Fernández de Piedrahita, Alexander von Humboldt, Javier Ocampo López and many others.
José Domingo Duquesne was a Colombian clergyman, theologist, scientist and writer. Polyglot Duquesne spoke Spanish, French, Latin, Greek, Italian and Chibcha.
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Liborio Zerda was a Colombian physician and Muisca scholar. Zerda has been important in the natural sciences of the late 19th and early 20th century in Colombia, publishing many articles about various topics, from medicine to chemical analysis, radioactivity and the popular drink chicha.
Marianne Vere Cardale de Schrimpff is a Colombian anthropologist, archaeologist, academic and writer.
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