Yoruba numerals

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According to Lounge, [1] the Yoruba language has a rather elaborate vigesimal (base-20) numeral system that involves both addition and subtraction and multiplication.

The base of the counting system is ogún 'twenty' (or 'score'). There are words for each of the decades; units in 1–4 are created by adding to these, while units in 5–9 are created by subtracting from the next decade. The odd decades are created by subtracting ten from the next even decade, as in Danish. Multiples are also very important in the numerical system for example the number 60 is ọgọ́ta which literally means three twenties (ogún = 20, ẹ̀ta = 3).

Up to 30, Yoruba has distinct forms of the numerals for counting objects, which derive from counting cowries.

NumeralObjects*Tens**Fives and tensHundredHundredsThousandsMyriads
1ení, ọ̀kanoókàn11ọ̀kanlá, oókànlá10+125ẹ̀ẹ́dọ́gbọ̀n305110àádọ́fà20×6−10210ẹ̀wálélúɡba200+101400egbèje200×78,000ẹgbàarin2000×4
2èjìeéjì12èjìlá, eéjìlá10+230ọgbọ̀n, ọɡbọ̀n ǒ120ọ(gọ́)fà20×6300ọ̀ọ́dúrún, ọ̀ọ́dúnrún400−1001600ẹgbẹ̀jọ200×89,000ẹ̀ẹ́dẹ́ɡbàarùn-ún2000×5−1000
3ẹ̀taẹẹ́ta13ẹ̀tàlá, ẹẹ́tàlá10+335aárùn-ún-dínlógójì20×25130àádóje20×7−10400irinwó1800ẹgbẹ̀sán200×910,000ẹgbàarùn-ún2000×5
4ẹ̀rinẹẹ́rin14ẹ̀rìnlá, ẹẹ́rìnlá10+440ogójì › ojì20×2140o(gó)je20×7500ọ̀ọ́dẹ́gbẹ̀ta › ẹ̀ẹ́dẹ́gbẹ̀ta200×3−1002,000ẹgbẹ̀wá ~ ẹgbàá200×1016,000ẹgbàajọ2000×8
5àrúnaárùn-ún15ẹ̀ẹ́dógún***20550àádọ́ta20×310150àádọ́jọ20×8−10600ẹgbẹ̀ta200×32,200ẹgbọ̀kànlá200×1120,000ẹgbàawàá; ọ̀kẹ́ kan2000×10; 1 bag
6ẹ̀fàẹẹ́fà16ẹ̀rìndínlógún, ẹẹ́rìndínlógún20460ọgọ́ta › ọta20×3160ọ(gọ́)jọ20×8700ọ̀ọ́dẹ́gbẹ̀rin › ẹ̀ẹ́dẹ́gbẹ̀rin200×4−1003,000ẹgbẹ̀ẹ́dógún; ẹ̀ẹ́dẹ́gbàajì200×15; 2000x2-1000100,000ọ̀kẹ́ márùn-ún5 bags
7èjeeéje17ẹ̀tàdínlógún, ẹẹ́tàdínlógún20370àádọ́rin20×410170àádọ́sàn-án20×9−10800ẹgbẹ̀rin200×44,000ẹgbàajì2000×21,000,000àádọ́ta ọkẹ́; ẹgbẹẹgbẹ̀rún50 bags; 1000×1000
8ẹ̀jọẹẹ́jọ18èjìdínlógún, eéjìdínlógún20280ọgọ́rin › ọrin20×4180ọ(gọ́)sàn-án20×9900ẹ̀ẹ́dẹ́gbẹ̀rún200×5−1005,000ẹgbẹ̀ẹ́dọ́gbọ̀n; ẹ̀ẹ́dẹ́gbàata200×25; 2000x3-10002,000,000ọgọ́rùn-ún ọ̀kẹ́, ọrún ọ̀kẹ́100 bags
9ẹ̀sánẹẹ́sàn-án19ọ̀kàndínlógún, oókàndínlógún20190àádọ́rùn-ún20×5−10190ẹ̀wádínlúɡba, àádọ́wàá200−101000ẹgbẹ̀rún200×56,000ẹgbàata2000×33,000,000àádọ́jọ ọ̀kẹ́150 bags
10ẹ̀wáẹẹ́wàá20ogún, okòó100ọgọ́rùn-ún › ọrún20×5200igba, igbéo20x101200ẹgbẹ̀fà200×67,000ẹ̀ẹ́dẹ́ɡbàarin2000×4−10004,000,000igba ọ̀kẹ́200 bags
*Oókàn is a contraction of owó ọ̀kan 'one cowrie'; 2–10, 20, and 30 are analogous.
** is a contraction of lé ẹ̀wá 'and ten'.
***Ẹ̀ẹ́dógún is a contraction of aárùn-ún-dí(n)(l)ógún 'five from twenty'.
***igbéo is a contraction of igba owó 'a heap of cowries'.

Ogún is the basic word for twenty, okòó the word when counting objects. For thirty, the forms are ọgbọ̀n and ọɡbọ̀n ǒ. Units apart from the fives are generally transparent: oókànlélógún 'twenty-one', eéjìdínlọ́ɡbọ̀n 'twenty-eight', etc. There are also more recent decimal forms for the thousands: 2,000 ẹgbẹ̀rún méjì 'thousand twice', 3,000 ẹgbẹ̀rún mẹ́ta 'thousand thrice', etc., as well as additive forms for the fives, due to the influence of English. Numbers higher than 20,000 also tend to be transparent: 40,000 is ẹgbàawàá lọ́nà méjì '20,000 two times'.

Notes

  1. Lounge, 2009.

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