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词条 Muisca numerals
释义

  1. Numerals

      Numbers 1 to 10 and 20    Higher numbers  

  2. See also

  3. References

      Bibliography  
{{Muisca sidebar}}{{Numeral systems}}Muisca numerals were the numeric notation system used by the Muisca, one of the four advanced 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 hieroglyphs drawn 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.

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 early 19th century) and Liborio Zerda.[3][4][5][6][7]

Numerals

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]

Numbers 1 to 10 and 20

NumberHumboldt, 1807[3]De Lugo, 1619[1]Muisca hieroglyphs
1ata
2bozha / bosaboʒha
3mica
4mhuyca / muyhicamhuɣcâ
5hicsca / hiscahɣcſcâ
6taa[8]
7qhupqa / cuhupquaqhûpqâ
8shuzha / suhuzashûʒhâ
9aca
10hubchibica / ubchihicahubchìhicâ
20quihicha ubchihica
gueta
qhicħâ hubchìhicâ
guêata

Higher numbers

NumberHumboldt, 1807[3]De Lugo, 1619[1]
11quihicha ataqhicħâ ata
12quihicha bosaqhicħâ boʒha
13quihicha micaqhicħâ mica
14quihicha mhuycaqhicħâ mhuɣcâ
15quihicha hiscaqhicħâ hɣcſcâ
16quihicha taqhicħâ ta
17quihicha cuhupquaqhicħâ qhûpqâ
18quihicha suhuzaqhicħâ shûʒhâ
19quihicha acaqhicħâ aca
20guetaguêata
21guetas asaqui ataguêatas aſaqɣ ata
30guetas asaqui ubchihicaguêatas aſaqɣ hubchìhicâ
40gue-bosaguêboʒha
50gue-bosa asaqui ubchihicaguêboʒhas aſaqɣ hubchìhicâ
60gue-micaguêmica
70gue-mica asaqui ubchihicaguêmicas aſaqɣ hubchìhicâ
80gue-muyhicaguêmhuɣcâ
90gue-muyhica asaqui ubchihicaguêmhuɣcâs aſaqɣ hubchìhicâ
99gue-muyhica asaqui quihicha acaguêmhuɣcâs aſaqɣ qhicħâ aca
100gue-hiscaguêhɣcſcâ
101gue-hisca asaqui ataguêhɣcſcâs aſaqɣ ata
110gue-hisca asaqui hubchihicaguêhɣcſcâs aſaqɣ hubchìhicâ
120gue-taguêta
150gue-muyhica asaqui hubchihicaguêqhûpqâs aſaqɣ hubchìhicâ
199gue-aca asaqui quihicha acaguêacas aſaqɣ qhicħâ aca
200gue-ubchihicaguêhubchìhicâ
250gue-quihicha bozha asaqui hubchihicaguêqhicħâ boʒhas aſaqɣ hubchìhicâ
300gue-chihica hiscaguêqhicħâ hɣcſcâ
365gue-chihica suhuza asaqui hiscaguêqhicħâ shûʒhâs aſaqɣ hɣcſcâ
399gue-chihica aca asaqui quihicha acaguêqhicħâ acas aſaqɣ qhicħâ aca

See also

{{portal|Colombia|Number theory}}
  • Muisca art
  • Muysccubun
  • Quipu - Inca numerals
  • Muisca calendar
  • Maya numerals

References

1. ^{{es}} 1619 - Muisca numbers according to Bernardo de Lugo - accessed 29-04-2016
2. ^Izquierdo, 2009, p.30
3. ^Humboldt, 1807, Part 1
4. ^Humboldt, 1807, Part 2
5. ^Humboldt, 1807, Part 3
6. ^Duquesne, 1795
7. ^Zerda, 1883
8. ^{{es}} Taa on Muysccubun Dictionary

Bibliography

  • {{cite LSA |last=Duquesne |first=José Domingo |year=1795 |title=Disertación sobre el calendario de los muyscas, indios naturales de este Nuevo Reino de Granada - Dissertation about the Muisca calendar, indigenous people of this New Kingdom of Granada |url=http://www.accefyn.org.co/proyecto/Documentos/Duquesne/Calendario.pdf |pages=1–17 |language=es |accessdate=2016-07-08}}
  • {{cite LSA |last=Humboldt |first=Alexander von |year=1807 |title=Sitios de las Cordilleras y monumentos de los pueblos indígenas de América - Calendario de los indios muiscas - Parte 1 - Views of the Cordilleras and Monuments of the Indigenous Peoples of the Americas - Muisca calendar - Part 1 |url=http://www.banrepcultural.org/blaavirtual/arqueologia/sitios/sitios7a.htm |chapter=VI |publisher=Biblioteca Luis Ángel Arango |language=es |accessdate=2016-07-08}}
  • {{cite LSA |last=Humboldt |first=Alexander von |year=1807 |title=Sitios de las Cordilleras y monumentos de los pueblos indígenas de América - Calendario de los indios muiscas - Parte 2|trans_title=Views of the Cordilleras and Monuments of the Indigenous Peoples of the Americas - Muisca calendar - Part 2 |url=http://www.banrepcultural.org/blaavirtual/arqueologia/sitios/sitios7b.htm |chapter=VI |publisher=Biblioteca Luis Ángel Arango |language=es |accessdate=2016-07-08}}
  • {{cite LSA |last=Humboldt |first=Alexander von |year=1807 |title=Sitios de las Cordilleras y monumentos de los pueblos indígenas de América - Calendario de los indios muiscas - Parte 3|trans_title=Views of the Cordilleras and Monuments of the Indigenous Peoples of the Americas - Muisca calendar - Part 3 |url=http://www.banrepcultural.org/blaavirtual/arqueologia/sitios/sitios7c.htm |chapter=VI |publisher=Biblioteca Luis Ángel Arango |language=es |accessdate=2016-07-08}}
  • {{cite LSA |last=Izquierdo Peña |first=Manuel Arturo |year=2009 |title=The Muisca Calendar: An approximation to the timekeeping system of the ancient native people of the northeastern Andes of Colombia |url=https://arxiv.org/pdf/0812.0574v3.pdf |pages=1–170 |publisher=Université de Montréal |accessdate=2016-07-08}}
  • {{cite LSA |last=Zerda |first=Liborio |year=1947 (1883) |title=El Dorado |url=http://www.banrepcultural.org/sites/default/files/87219/brblaa302323.pdf |language=es |accessdate=2016-07-08}}
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