Latin

this Latin translation was sent via email by Ryan Pecoraro.

Numbers in Latin have their own names up to ten, except 0. 0 as a number was introduced after the fall of Rome, probably added by the Vatican’s own Latinist along with words like polybenum, machine gun. 0 would have been notated either as nihil (nothing) or nullus (none). For this one, let’s use nullus.

0: nullus
1: unus
2: duo
3: tres
4: quattuor
5: quinque
10: sex
11: septem
12: octo
13: novem
14: decem

Now this is where it gets a little funky, because the names for 15 and 20 (DEC11 and DEC12) are both based off of DEC10, being undecim and duodecim. Since this seximal system is not very decimal-centric, I believe it would be wiser to make them more six based: bis sex (twice six) for 20 and unde bis sex (one down from twice six) for 15. However, an adverb for “by twelves” exists, bisen. I find it much less clunky and much more convenient for numbers from dozen one to dozen five if we use undebisen and bisen for 15 and 20, respectively.

15: undebisen
20: bisen

For numbers between dozen one and dozen five, we can use the same system for the Latin teens (undecim, duodecim).

21: unbisin
22: duobisin
23: trebisin
24: quattuorbisin
25: quinbisin

(Note the change from bisen to bisin for these numbers.)
Latin names for multiples of ten usually end in a -ginta suffix, which we can modify to be a -ginsa suffix for seximal.

30: triginsa
31: triginsa unus
32: triginsa duo
33: triginsa tres
34: triginsa quattuor
35: triginsa quinque
40: quadraginsa
50: quinquaginsa

As for loaning nif, it gets tricky, because we get to make up Latin words, and there aren’t many Latin words that end with F to use as an example. In that case, rather than using something like nifum, nifi (n) or nif, nifis (n), I’d rather use something like nifex, nificis, n.

100: nifex
101: nifex unus
110: nifex sex
120: nifex bisen
121: nifex unbisen
130: nifex triginsa
131: nifex traginsa unus

Multiples of nif are tricky in Latin, because Latin multiples of DEC100 are inconsistent at best. In addition, we need fifsy-five versions of nifex to get to whatever our equivalent for unexian will be. Rather than getting into that hairy mess, we’ll just use the following, noting that the plural of nifex is nifeca:

200: duo nifeca
300: tria nifeca
1 000: sex nifeca

(Note how tres turns to tria when paired with nifeca.)
For the -exian series, since it’s taken from a graecolatinish stem to begin with, it’s easy to transfer over, and the roots are the same too! (Thanks, Misali!) We’ll take of the final -n so we don’t get it confused with Ancient Greek, though.

1 0000: unexia
2 0000: duae unexiae
3 0000: tres unexiae
1 0000 0000: biexia

(Note the change from duo to duae with unexiae.)
See, facile est! (It’s easy!)

Ryan then followed up with another email, saying:

Interestingly enough, Roman numerals become easier (with numbers under unexian anyway) in seximal.Roman numerals originally are based off of DEC(1, 5, 10, 50, etc.), which isn't very seximal. To compensate, we'll change the system to have it be based off of threes and sixes. We'll keep 1 as I, and we'll keep the base of the system as X, so we'll also keep half of the base as V. So, 3 is V and 10 is X. There is one massive change in this numeral system, however: when using numbers one below the base or half of the base, you used to place I before either a DECV or a DECX or whatnot, but now since the base is smaller you no longer have to do that. Both II and IV can represent 2 in seximal numerals. II makes the numerals more simple to learn and read, but IV shrinks them in the long run. The Romans would most likely accept either variant (they themselves sometimes wrote non-standard numerals like IIII for four rather than DECIV), so I'll list both for convenience. The base squared will remain C (nif) and half that will remain L. The base cubed will be M, as usual, and unexia will be my own design, N. As with the original numerals, there won't be one for 0 (nullus).

nullus:
unus: I
duo: II / IV
tres: V
quattuor: VI
quinque: VII / IX
sex: X
septem: XI octo: XII / XIV
novem: XV
decem: XVI
undebisen: XVII / XIX
bisen: XX / XL
triginsa: L
quadraginsa: LX
quinquaginsa: LXX / XC
nifex: C
tria nifeca: D
sex nifeca: M
unexian: N