Numbers in Rincón Zapotec
Didza Xidza
Numbers in Rincón Zapotec follow a vigesimal (base-20) system, unique among many Mesoamerican languages. Spoken by approximately 40,000 people in northern Oaxaca, Mexico, this language features a complex yet logical structure for counting. Its counting system combines multiples of twenty with additional units, creating a layered pattern that reflects both cultural and linguistic history. The language's use of specific words for tens, hundreds, and thousands, along with compound formations, makes it a fascinating example of indigenous numeracy. Understanding the numbers in Rincón Zapotec provides insight into their culture and linguistic ingenuity, especially in how they construct large numbers like 182 or 1,121.
Number system
Rincón Zapotec employs a vigesimal counting system, where multiples of twenty form the backbone of larger numbers. Numbers from 1 to 9 are unique words: tu [1], chopa [2], tsonna [3], tapa [4], gayu’ [5], xopa [6], gadxi [7], xunu’ [8], ga [9]. Numbers 11 to 19 are formed by combining the word for ten (chi) with suffixes: chinéaj [11], chinnu [12], chi’inu [13], chidá’ [14], chinu [15], chizxopa [16], chini [17], chixxunu’ [18], chënnaj [19]. Tens are formed with specific words: chi [10], gal-laj [20], chi-uruá’ [30], choa’ [40], chi-un [50], tsónnalal-laj [60], tsónnalal-laj-yu’-chi [70], tápalal-laj [80], tápalal-laj-yu’-chi [90]. Compound numbers are built by combining units and tens with hyphens, e.g., tapa-urua’ [24], chini-urua’ [37], gayu’-un [45], tsónnalal-laj-yu’-xopa [66], tápalal-laj-yu’-chixxunu’ [98]. Hundreds are formed by multiplying the digit by gayuá’ (e.g., tu gayuá’ [100], chopa gayuá’ [200]), and thousands by multiplying the digit by mila (e.g., tu mila [1,000], chopa mila [2,000]). Larger numbers are built by combining these with 'yu’' (and), e.g., tu mila yu’ tu gayuá’ yu’ tu-urua’ [1,121].
Number list (29)
Counting rules
Counting from 1 to 9
Digits 1 to 9 are unique words: tu [1], chopa [2], tsonna [3], tapa [4], gayu’ [5], xopa [6], gadxi [7], xunu’ [8], ga [9]. For example, 3 is tsonna, and 7 is gadxi.
Numbers 11 to 19
Formed by starting with chi [10], followed by suffixes: chinéaj [11], chinnu [12], chi’inu [13], chidá’ [14], chinu [15], chizxopa [16], chini [17], chixxunu’ [18], chënnaj [19]. For example, 16 is chizxopa, combining 10 and 6.
Tens and compound numbers
Tens are chi [10], gal-laj [20], chi-uruá’ [30], choa’ [40], chi-un [50], tsónnalal-laj [60], tsónnalal-laj-yu’-chi [70], tápalal-laj [80], tápalal-laj-yu’-chi [90]. Compound numbers like 24 (tapa-urua’) are formed by combining units with the word for twenty, linked by hyphen.
Numbers from 21 to 39
Constructed by combining 1-19 with -uruá’: tapa-urua’ [24], chini-urua’ [37]. For example, 37 is chini-urua’, built from 17 (chini) and 20 (urua’).
Numbers from 41 to 59
Formed by combining 1-19 with -un: gayu’-un [45], chinéaj-un [51]. For example, 45 is gayu’-un, combining 5 (gayu’) with 40 (choa’).
Numbers from 61 to 99
Constructed with the tens, followed by 'yu’' (and), then units: tsónnalal-laj-yu’-xopa [66], tápalal-laj-yu’-chixxunu’ [98]. For example, 66 is tsónnalal-laj-yu’-xopa, combining 60 and 6.
Hundreds
Formed by digit + gayuá’ (hundred): tu gayuá’ [100], chopa gayuá’ [200], tsonna gayuá’ [300]. Compound hundreds link with 'yu’' for additional units or tens: tu gayuá’ yu’ tápalal-laj [180].
Thousands
Constructed by digit + mila (thousand): tu mila [1,000], chopa mila [2,000]. Larger numbers combine thousands, hundreds, tens, and units with 'yu’': tu mila yu’ tu gayuá’ yu’ tu-urua’ [1,121].
Unique features
The vigesimal system uses specific words for each multiple of twenty, such as gal-laj for 20 and tsónnalal-laj for 60, showing a clear base-20 structure.
Compound numbers like 37 (chini-urua’) combine units and tens with hyphens, unlike decimal systems that use 'and' or separate words.
Numbers 16 (chizxopa) and 18 (chixxunu’) include suffixes that seem to encode units within the word, reflecting a layered morphological process.
Large numbers like 1,121 are built with a combination of thousands, hundreds, and smaller units, linked with 'yu’', demonstrating a recursive and productive system.
The word for 5, gayu’, is embedded in the word for 500 (gayu’ gayuá’), indicating a possible etymological link to the vigesimal base.
Cultural context
Rincón Zapotec is spoken primarily in the northern regions of Oaxaca, Mexico, by around 40,000 people. The community maintains a rich cultural heritage, with traditional practices, crafts, and oral storytelling. Numbers play a vital role in daily life, especially in trade, rituals, and community events. For example, specific numbers may be considered lucky or taboo, but detailed cultural beliefs about numerology are not widely documented. The language's counting system reflects their worldview, emphasizing the importance of layered, recursive structures that mirror their social and spiritual understanding of the world.
Fun facts
The word for 16, chizxopa, includes a suffix that appears to encode the number six within the word, showcasing morphological complexity.
Unlike many languages that use decimal systems, Rincón Zapotec's vigesimal system is similar to other Mesoamerican languages like Nahuatl, but with unique words and formations.
The use of 'yu’' as a conjunction in large numbers is a linguistic feature that allows recursive building of complex numerals.
Historically, the vigesimal system may have originated from counting on fingers and toes, a common practice in ancient cultures.
The language can construct numbers up to 9,999, but detailed rules for larger numbers are not yet documented, indicating ongoing linguistic research.
Frequently asked questions
How do you count to 10 in Rincón Zapotec?
1 is tu, 2 is chopa, 3 is tsonna, 4 is tapa, 5 is gayu’, 6 is xopa, 7 is gadxi, 8 is xunu’, and 9 is ga. 10 is chi.
What number base does Rincón Zapotec use?
It uses a vigesimal (base-20) system, evidenced by words like gal-laj for 20, tsónnalal-laj for 60, and compound formations like tsónnalal-laj-yu’-xopa for 66.
How do you say 42 in Rincón Zapotec?
42 is constructed as tapa-urua’, combining 4 (tapa) and 20 (urua’).
How do you say 100 in Rincón Zapotec?
100 is tu gayu’, formed by 1 (tu) times 100 (gayu’).
How many people speak Rincón Zapotec?
Approximately 40,000 speakers in northern Oaxaca, Mexico.
Is Rincón Zapotec related to other languages?
Yes, it belongs to the Oto-Manguean language family, closely related to Choapan Zapotec with about 64% intelligibility.
What makes Rincón Zapotec counting unique?
Its vigesimal system, with specific words for each multiple of twenty and recursive compound formations, distinguishes it from many other indigenous languages.
Sources
- Diccionario Zapoteco del Rincón (in Spanish), Roberto Earl & Catalina Sheffler de Earl, Summer Institute of Linguistics (2011)