# Counting in Na’vi

Enter a number and get it written in full in Na’vi.

## Language overview

Invented by Paul Frommer for the fictional indigenous race in James Cameron’s movie *Avatar*, Na’vi language has no written form but is transcripted in latin alphabet where two diacritics (ä, ì), three ejective consonants (px, tx, kx), and the apostrophe (’) used as a glottal stop are added.

## The octal numeral system

Na’vi numbers have been finally unveiled. Their numeral system is octal, or in the base-8, which can be explained by the fact Na’vi have four fingers. To better understand the octal numeral system, let’s start with a more familiar one: the decimal system. In the decimal system (or base-10), we have ten digits, from zero to nine. When we add 1 (one) to 9 (nine), we get 10 (ten), or the unit 1 (one) followed by 0 (zero). This system is *positional* (the digits represent the units, and their rank the matching power of ten). Thus, 132 decomposes in 100 + 30 + 2 = 1*10^{2} + 3 *10^{1} + 2 *10^{0}. This system is also known as a positional decimal numeral system.

Base-8 uses digits from 0 to 7. Its first ten is eight in decimal (8_{10} = 10_{8}), the base is noted in subscript. The decomposition of an octal number (in a positional system) is the same as the one of a decimal number, only the base changes: (132)_{8} = 1*8^{2} + 3 *8^{1} + 2 *8^{0}. If we carry it out, we get the matching decimal number, here 90.

## Na’vi numbering rules

- The digits from one to seven are:
*’aw*[1],*mune*[2],*pxey*[3],*tsìng*[4],*mrr*[5],*pukap*[6], and*kinä*[7]. - The tens are formed by setting the root of the multiplier digit before the number eight (which is ten in base eight), except for eight itself:
*vol*[10_{8}/8_{10}],*mevol*[20_{8}/16_{10}],*pxevol*[30_{8}/24_{10}],*tsìvol*[40_{8}/32_{10}],*mrrvol*[50_{8}/40_{10}],*puvol*[60_{8}/48_{10}], and*kivol*[70_{8}/56_{10}]. - Compound numbers are formed by suffixing the ten with the second root of the unit digit (yes, Na’vi digits have two roots: one for compound units, and one for multiplier unit). The ten word loses its final
*-l*before a consonant, showing an apocope. The roots for compound digits are:*-aw*[1],*-mun*[2],*-pey*[3],*-sìng*[4],*-mrr*[5],*-fu*[6], and*-hin*[7]. The compound numbers from 11_{8}to 18_{8}are:*volaw*[11_{8}/9_{10}],*vomun*[12_{8}/10_{10}],*vopey*[13_{8}/11_{10}],*vosìng*[14_{8}/12_{10}],*vomrr*[15_{8}/13_{10}],*vofu*[16_{8}/14_{10}], and*vohin*[17_{8}/15_{10}]. We can now make any number up to 77_{8}(or 63_{10}):*pxevosìng*[34_{8}/28_{10}],*mrrvofu*[56_{8}/46_{10}],*kivomun*[72_{8}/58_{10}]… - The hundreds are formed the same way as the tens, i.e. by prefixing the word for hundred (
*zam*) with the multiplying root of the multiplier digit, except for one hundred itself:*zam*[100_{8}/64_{10}],*mezam*[200_{8}/128_{10}],*pxezam*[300_{8}/192_{10}],*tsìzam*[400_{8}/256_{10}],*mrrzam*[500_{8}/320_{10}],*puzam*[600_{8}/384_{10}], and*kizam*[700_{8}/448_{10}]. - The word for the octal thousand is
*vozam*, and the word for the octal ten thousand is*zazam*. Thousands and tens of thousands are built regularly as tens and hundreds (e.g.:*vozam*[1,000_{8}/512_{10}],*mrrvozam*[5,000_{8}/2,560_{10}],*zazam*[10,000_{8}/4,096_{10}],*puzazam*[60,000_{8}/24,576_{10}]) - Lacking data on how are made compound numbers greater than one hundred, we can assume they are said as in English, with no conjunction between them (e.g.:
*pxevol mrrvosìng*[354_{8}/236_{10}],*mevozam kizam vofu*[2,715_{8}/1,485_{10}]).

## Books

*The Ultimate Fan’s Guide to Avatar, James Cameron’s epic movie (Unauthorized)*

by Kevin Patrick Mahoney, editors Punked Books (2010)

[ Amazon.com, Kindle - Amazon.com]

*The Art of Avatar: James Cameron’s Epic Adventure*

by Lisa Fitzpatrick, editors Abrams (2009)

[ Amazon.com]

*Avatar: A Confidential Report on the Biological and Social History of Pandora*

by Maria Wilhelm, Dirk Mathison, editors It Books (2009)

[ Amazon.com]

*Avatar : Rapport confidentiel sur l’histoire biologique et sociale de la planète Pandora*

editors Michel Lafon (2009)

[ Amazon.com]

*Avatar*

by Liza Fitzpatrick, editors L’Archipel (2009)

[ Amazon.com]

## Numbers list

1_{8} – ’aw2 _{8} – mune3 _{8} – pxey4 _{8} – tsìng5 _{8} – mrr6 _{8} – pukap7 _{8} – kinä10 _{8} – vol11 _{8} – volaw | 12_{8} – vomun13 _{8} – vopey14 _{8} – vosìng15 _{8} – vomrr16 _{8} – vofu17 _{8} – vohin20 _{8} – mevol30 _{8} – pxevol40 _{8} – tsìvol | 50_{8} – mrrvol60 _{8} – puvol70 _{8} – kivol100 _{8} – zam1,000 _{8} – vozam10,000 _{8} – zazam |

## Links

## Other universes languages

Atlantean, Atrian, Barsoomian, D’ni, Giak, Hylian, Kiitra, Láadan, Na’vi, and Wardwesân.

## Other supported languages

Supported languages by families

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