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Dzongkha numerals

From Wikipedia, the free encyclopedia
Numerals used in Bhutan
Part ofa series on
Numeral systems
List of numeral systems

Dzongkha, the national language ofBhutan, has twonumeral systems, onevigesimal (base 20), and a moderndecimal system. The vigesimal system remains in robust use.Ten is anauxiliary base: the-teens are formed with ten and the numerals 1–9. Ex. cu_ci

Vigesimal

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NumeralsSpellingRomanisation
Hindu-ArabicTibetan
1གཅིགgcig
2གཉིསgnyis
3གསུམgsum
4བཞིbzhi
5ལྔlnga
6དྲུགdrug
7བདུནbdun
8བརྒྱདbrgyad
9དགུbgu
10༡༠བཅུ་ཐམbcu tham*
11༡༡བཅུ་གཅིགbcu gcig
12༡༢བཅུ་གཉིསbcu gnyis
13༡༣བཅུ་གསུམbcu gsum
14༡༤བཅུ་བཞིbcu bzhi
15༡༥བཅོ་ལྔbco lnga
16༡༦བཅུ་དྲུགbcu drug
17༡༧བཅུ་བདུནbcu bdun
18༡༨བཅོ་བརྒྱདbco brgyad
19༡༩བཅུ་དགུbcu dgu
20༢༠ཁལ་གཅིགkhal gcig

*When it appears on its own, ‘ten’ is usually saidབཅུ་ཐམbcu tham ‘a full ten’. In combinations it is simplyབཅུbcu.

Multiples of 20 are formed fromཁལkhal. Intermediate multiples of ten are formed withཕྱེདphyed 'half to':

30༣༠ཁལ་ཕྱེད་གཉིསkhal phyed gnyis(a half to two score)
40༤༠ཁལ་གཉིསkhal gnyis(two score)
50༥༠ཁལ་ཕྱེད་གསུམkhal phyed gsum(a half to three score)
100༡༠༠ཁལ་ལྔkhal lnga(five score)
200༢༠༠ཁལ་བཅུ་ཐམkhal bcu tham(ten score)
300༣༠༠ཁལ་བཅོ་ལྔkhal bco lnga(fifteen score)

400 (20²)ɲiɕu is the next unit:ɲiɕuciː 400,ɲiɕuɲi 800, etc. Higher powers are 8000 (20³)kʰecʰe ('a ɡreat score') andjãːcʰe 160,000 (20⁴).

Decimal

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The decimal system is the same up to 19. Then decades, however, are formed asunit–ten, as in Chinese, and the hundreds similarly. 20 is reported to beɲiɕu, the same as vigesimal numeral 400; this may be lexical interference for the expected*ɲi-cu. (In any case, there is no ambiguity, because as 400 it is obligatorilyɲiɕuciː 'one 400'.) Several of the decades have an epenthetic-p-, perhaps by analogy with 18 and 19, where the-p- presumably reflects a historical*cup 'ten':

sum-cu 30,ʑi-p-cu 40,ˈŋa-p-cu 50,ɟa-tʰampa orcik-ɟa 100 (a 'full hundred' or 'one hundred'),ɲi-ɟa 200,sum-ɟa 300,ʑi-p-ɟa 400, etc.

References

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