Numbers in Yao
chiYao / ciYao
Numbers in Yao follow a quinary (base-5) system combined with a decimal and vigesimal structure, making it a mixed counting system. Spoken by approximately 3.1 million people mainly in Malawi, Tanzania, and Mozambique, Yao's counting system is unique due to its combination of additive and multiplicative patterns. The language's numbers reflect cultural nuances and historical influences, setting it apart from purely decimal or vigesimal systems. Understanding the numbers in Yao reveals insights into their linguistic structure and cultural worldview, making it a fascinating subject for linguists and language enthusiasts alike.
Number system
Yao's counting system is primarily quinary, where digits 6 to 9 are formed by adding to five: 6 is 'nsano nacimo' (5+1), 7 is 'nsano nawili' (5+2), 8 is 'nsano naitatu' (5+3), and 9 is 'nsano nancece' (5+4). Tens are formed with 'likumi' for 10, and multiples of ten are built using 'makumi' with prefixes: 20 is 'makumi gawili' (2×10), 30 is 'makumi gatatu', 40 is 'makumi ncece', 50 is 'makumi nsano', and so forth. For example, 15 is 'likumi kwisa nsano' (10 + 5), 28 is 'makumi gawili kwisa nsano naitatu' (20 + 8), and 78 is 'makumi nsano nagawili' (70 + 8). Hundreds are formed with 'macila' (plural of hundred), e.g., 200 is 'macila gawili' (2×100), and 600 is 'macila nsano kwisa cimo' (6×100). Numbers are compounded by combining these elements, with specific prefixes and infixes indicating the pattern.
Number list (29)
Counting rules
Formation of digits 6-9
Digits 6 to 9 are formed by adding to five: 6 is 'nsano nacimo' (5+1), 7 is 'nsano nawili' (5+2), 8 is 'nsano naitatu' (5+3), and 9 is 'nsano nancece' (5+4). For example, 6 = 'nsano nacimo', 7 = 'nsano nawili', 8 = 'nsano naitatu', 9 = 'nsano nancece'.
Formation of tens
Tens are formed with 'likumi' for 10, and multiples of ten use 'makumi' with prefixes: 20 is 'makumi gawili', 30 is 'makumi gatatu', 40 is 'makumi ncece', 50 is 'makumi nsano'. For example, 15 is 'likumi kwisa nsano' (10 + 5), and 28 is 'makumi gawili kwisa nsano naitatu' (20 + 8).
Formation of hundreds
Hundreds are formed with 'macila' (plural of hundred). 100 is 'licila', 200 is 'macila gawili', 300 is 'macila gatatu', and 600 is 'macila nsano kwisa cimo' (6×100). For example, 600 = 'macila nsano kwisa cimo'.
Construction of compound numbers
Compound numbers combine tens and units with 'kwisa'. For example, 42 is 'makumi ncece kwisa nsano naitatu' (40 + 2 + 3), and 78 is 'makumi nsano nagawili' (70 + 8). The pattern involves stating the ten, then 'kwisa', then the unit.
Large numbers
Numbers beyond 1,000 are formed by multiplying hundreds or thousands, e.g., 1,000 is 'macila likumi' (10×100). The system allows for constructing larger numbers by combining these elements, but data beyond 1,000 is limited.
Unique features
Digits 6-9 are formed by adding to five, e.g., 7 = 'nsano nawili' (5+2), showcasing a quinary system.
Tens are expressed with 'makumi' plus prefixes, with specific phonetic changes for 60 (likumi to 'li-li') and 70-90 (infix 'ga-'), blending decimal and vigesimal features.
The number 600, 'macila nsano kwisa cimo', combines hundreds with the additive pattern for 600, reflecting a flexible system for large numbers.
The word for 1,000, 'macila likumi', literally means 'ten hundreds', indicating a base-10 component within the quinary system.
The use of prefixes like 'ga-' for 70 and 80, and the change from 'ci-' to 'li-' for 60, demonstrate phonological adaptations in number formation.
Cultural context
The Yao people primarily inhabit regions of Malawi, Tanzania, and Mozambique, with a rich cultural heritage rooted in trade, agriculture, and community traditions. Numbers in Yao are integral to daily life, from counting crops and livestock to traditional ceremonies. The system’s complexity reflects a deep understanding of numerical relationships, and certain numbers may hold cultural significance, such as 5 and 10, which are foundational. While no specific taboo or lucky numbers are documented, the language’s structure emphasizes the importance of additive and multiplicative patterns, mirroring social and economic interactions in their communities.
Fun facts
The number 7 is 'nsano nawili', literally 'five plus two', illustrating the quinary basis of the system.
Compared to English, which is decimal, Yao’s use of 'nsano nacimo' for 6 shows a different approach—adding to five rather than using a base-10 structure.
Yao’s number system combines additive and multiplicative patterns, making it more complex than simple base-10 systems like English.
Historically, the word 'macila' for 100 may have been influenced by trade interactions with neighboring cultures using similar terms.
While data is limited beyond 1,000, the pattern suggests that larger numbers are built systematically by combining hundreds and thousands, reflecting a scalable system.
Frequently asked questions
How do you count to 10 in Yao?
1 – cimo, 2 – iwili, 3 – itatu, 4 – ncece, 5 – nsano, 6 – nsano nacimo, 7 – nsano nawili, 8 – nsano naitatu, 9 – nsano nancece, 10 – likumi.
What number base does Yao use?
Yao uses a quinary (base-5) system combined with decimal and vigesimal elements. For example, 6 is 'nsano nacimo' (5+1), and 20 is 'makumi gawili' (2×10), indicating a mixed base system.
How do you say 42 in Yao?
42 is 'makumi ncece kwisa nsano naitatu' (40 + 2 + 3), combining the tens ('makumi ncece') with units ('nsano naitatu' for 3).
How do you say 100 in Yao?
100 is 'licila', and larger hundreds are formed with 'macila', e.g., 200 is 'macila gawili'.
How many people speak Yao?
Approximately 3.1 million speakers, mainly in Malawi, Tanzania, and Mozambique.
Is Yao related to other languages?
Yes, Yao belongs to the Niger–Congo language family, specifically the Bantu branch, sharing features with other Bantu languages.
What makes Yao counting unique?
Its combination of quinary and vigesimal elements, such as forming 6-9 by adding to five, and the phonological changes for different tens, make it distinctive among Bantu languages.
Sources
- A Numeração em Moçambique, by Paulus Gerdes (in Portuguese)