Numbers in Quetzaltepec Mixe
Mixe de Chuxnabán
Numbers in Quetzaltepec Mixe follow a vigesimal (base-20) system, unique among many Mesoamerican languages. Spoken by approximately 6,700 people in Northeastern Oaxaca, Mexico, this language features a distinctive way of counting that combines multiples of twenty with additional units. Its counting system is notably complex, especially for numbers above 20, as it employs a combination of base-20 and additive patterns. The language's numbers in Quetzaltepec Mixe reveal a rich cultural heritage and a unique mathematical structure that sets it apart from more familiar decimal systems. Understanding these numbers offers insight into the community's worldview and linguistic ingenuity.
Number system
Quetzaltepec Mixe uses a vigesimal system, where the number 20 (i’px) serves as a key multiplier. Numbers from 1 to 9 are formed with specific words: tu’uk [1], määjtsk [2], tëkëëk [3], taxk [4], mëkooxk [5], tëtuujk [6], wxtuujk [7], tuktuujk [8], taxtuujk [9]. Tens are formed by combining the base word for ten (maajk [10]) with units, such as maajktu’uk [11], mamääjtsk [12], maajktëkëëk [13], and so on. For example, wxiikx [40] is 2*20, and wxiikxmyaajk [50] is 40+10. Compound numbers like wxiikxmyaajktëtuujk [56] combine 40 + 10 + 6, following a pattern of tens plus units without spaces. Hundreds are formed by prefixing the word for hundred (mëko’px [100]) with the digit multiplier: määjtskmëko’px [200], tëkëkmëko’px [300], etc. For example, 300 is tëkëkmëko’px, which is 3*100, and 600 is tëtuujkmëko’px, which is 6*100. Numbers are built by combining these elements, with the tens and hundreds following a consistent vigesimal pattern, such as 78 being tëkë’pxmaajktuktuujk (3*20 + 10 + 8).
Number list (28)
Counting rules
Counting from 1 to 9
Numbers 1 to 9 are unique words: tu’uk [1], määjtsk [2], tëkëëk [3], taxk [4], mëkooxk [5], tëtuujk [6], wxtuujk [7], tuktuujk [8], taxtuujk [9].
Forming the tens
Tens are formed by combining the base ten maajk [10] with units, such as maajktu’uk [11], mamääjtsk [12], maajktëkëëk [13], wxiikx [40], wxiikxmyaajk [50], and so on. For example, 30 is i’pxmaajk, and 90 is mata’pxmaajk.
Constructing compound numbers
Numbers like wxiikxmyaajktëtuujk [56] are formed by combining tens and units without spaces, following the pattern of tens + units, e.g., wxiikx (40) + tëtuujk (6).
Forming hundreds
Hundreds are formed by prefixing the word for hundred (mëko’px) with the digit: määjtskmëko’px [200], tëkëkmëko’px [300], taxkmëko’px [400], etc. For example, 500 is mämokxkmëko’px, which is 5*100.
Building larger numbers
Larger numbers combine hundreds, tens, and units. For example, 78 is tëkë’pxmaajktuktuujk (3*20 + 10 + 8), and 56 is wxiikxmyaajktëtuujk (40 + 10 + 6). The pattern is additive, with no spaces between components.
Unique features
The vigesimal system uses specific words like wxiikx [40] and mata’px [80], which are formed by combining base words for twenty and ten, respectively.
Unlike many languages that use decimal systems, Quetzaltepec Mixe’s counting involves a base-20 structure, similar to some Mayan languages.
Numbers above 20 are constructed by combining tens and units directly, such as wxiikxmyaajk [50] for 50, which is 2*20 + 10.
Hundreds are formed by prefixing the word for hundred (mëko’px) with the digit, e.g., tëtuujkmëko’px [600], showing a systematic approach to large numbers.
The language incorporates cultural elements, with specific words for numbers that are used in traditional trade and rituals, reflecting their worldview.
Cultural context
The Quetzaltepec Mixe people live in Northeastern Oaxaca, Mexico, in a region rich with indigenous traditions. Their language, including its counting system, plays a vital role in daily life, trade, and ceremonial practices. Numbers are used in land division, offerings, and storytelling. Certain numbers, like 13 or 21, may hold cultural significance, although specific taboos or superstitions are not well documented. The community’s strong connection to their language preserves their identity and cultural heritage, with counting being an essential part of their oral traditions and social interactions.
Fun facts
Number 12 is mamääjtsk, which combines the word for two (määjtsk) with a prefix, showing a pattern of multiplicative formation.
Compared to English, which is decimal, Quetzaltepec Mixe’s vigesimal system is similar to the Mayan numeral system, highlighting ancient Mesoamerican influences.
The language’s use of additive patterns in numbers like wxiikxmyaajk (50) demonstrates a sophisticated mathematical structure embedded in daily speech.
Historically, the Mixe people have used their counting system for land division and trade, dating back centuries.
Large numbers like 1000 are not yet documented, but the pattern suggests they would continue combining hundreds, tens, and units systematically.
Frequently asked questions
How do you count to 10 in Quetzaltepec Mixe?
1 – tu’uk, 2 – määjtsk, 3 – tëkëëk, 4 – taxk, 5 – mëkooxk, 6 – tëtuujk, 7 – wxtuujk, 8 – tuktuujk, 9 – taxtuujk, 10 – maajk.
What number base does Quetzaltepec Mixe use?
It uses a vigesimal (base-20) system, evidenced by words like wxiikx [40], mata’px [80], and the formation of numbers like wxiikxmyaajk [50], which combines 2*20 + 10.
How do you say 42 in Quetzaltepec Mixe?
42 is wxiikx + tëkëëk (3*20 + 2), forming wxiikxmëjtsk (40 + 2).
How do you say 100 in Quetzaltepec Mixe?
100 is mëko’px, formed by prefixing the word for hundred to the digit, and larger numbers like 300 are tëkëkmëko’px (3*100).
How many people speak Quetzaltepec Mixe?
Approximately 6,700 speakers, primarily in Northeastern Oaxaca, Mexico.
Is Quetzaltepec Mixe related to other languages?
Yes, it belongs to the Mixe–Zoque language family, closely related to other Mixe dialects and part of the larger Mixe–Zoquean linguistic group.
What makes Quetzaltepec Mixe counting unique?
Its use of a vigesimal system with specific words for multiples of twenty, and the way it constructs large numbers systematically, distinguishes it from decimal-based counting systems.