Trade Tongue/Duodecimal

From Sedes Draconis

Jump to: navigation, search

In addition to its decimal (base 10) number system, Trade Tongue also has a duodecimal (base 12) number system. Created by the gnomes during the period in which they adopted Trade Tongue as their primary language, non-gnomes use it infrequently at best. It's structure is identical to the decimal system, with magnitude suffixes for the powers of twelve parallel to the standard power of ten suffixes. The words that exist in the duodecimal system but not the decimal system are borrowed and modified from a native gnomish language of the time.

When representing a duodecimal number, I append a subscript 12 as such. Decimal numbers are generally written normally, but when it is necessary to explicitly mark a number as decimal, I likewise add a subscript 10.

Lacking a better convention I represent the digits for 1010 and 1110 as A12 and B12, respectively. Also not having yet thought of any word that might even approximate 123, 124, and 128, they are notated as such where a word would go (1728, 20736, and 429981696, as decimal numbers). (Well, I did think of *"thousgross" and *"doziad", but I'm not sure but what those are too silly, I'm holding out for now.)

The duodecimal magnitude suffixes are -lel, -tal, and -diîn; for twelve (a dozen), 144 (a gross, 122), and 1728 (123) respectively.

The name forms of the magnitudes are lelen (12), huatal (122), oriîn (123), plus ijol (124) and saijol (128, ijol2) taking the place of kâlad and sakâld.

Number Word Form Translation Magnitude Equivalent
Singular Gadla (a) Gadla
General Plural Gadlêt Gadlas
Twelve-Plural Gadlalel (a) Dozen Gadlas, Twelve Gadlas -che (10)
144-Plural Gadlatal (a) Gross of Gadlas, 144 Gadlas -chêk (100)
1728-Plural Gadladiîn (a) 123 of Gadlas, 1728 Gadlas -leshk (1000)


Numeral Duodecimal Trade Tongue Translation Notes
1 112 Ta One
2 212 Ka Two
3 312 Vu Three
4 412 Ngo Four
5 512 Ri Five
6 612 Az Six
7 712 Li Seven
8 812 Vai Eight
9 912 Kez Nine
10 A12 Ishen Ten Up to ten is identical to the decimal system . . .
11 B12 Inl Eleven . . . but it starts to diverge at eleven.
12 1012 Lelen Dozen (Twelve)
13 1112 Lelen-Ta Dozen-One
14 1212 Lelen-Ka Dozen-Two
15 1312 Lelen-Vu Dozen-Three
16 1412 Lelen-Ngo Dozen-Four
17 1512 Lelen-Ri Dozen-Five
18 1612 Lelen-Az Dozen-Six
19 1712 Lelen-Li Dozen-Seven
20 1812 Lelen-Vai Dozen-Eight
21 1912 Lelen-Kez Dozen-Nine
22 1A12 Lelen-Ishen Dozen-Ten
23 1B12 Lelen-Inl Dozen-Eleven
24 2012 Kalel Two*Dozen
25 2112 Kalel-Ta Two*Dozen-One
26 2212 Kalel-Ka Two*Dozen-Two
.
.
.
35 2B12 Kalel-Inl Two*Dozen-Eleven
36 3012 Vulel Three*Dozen
37 3112 Vulel-Ta Three*Dozen-One
38 3212 Vulel-Ka Three*Dozen-Two
.
.
.
143 BB12 Inlel-Inl Eleven*Dozen-Eleven Note: the syllabic 'l' ('L') at the end of Inl is dropped when it is combined with a magnitude suffix, becoming 'In-'.
144 10012 Huatal (One) Gross
145 10112 Huatal-Ta Gross-One
146 10212 Huatal-Ka Gross-Two
147 10312 Huatal-Vu Gross-Three
148 10412 Huatal-Ngo Gross-Four
149 10512 Huatal-Ri Gross-Five
150 10612 Huatal-Az Gross-Six
151 10712 Huatal-Lli Gross-Seven
152 10812 Huatal-Vai Gross-Eight
153 10912 Huatal-Kez Gross-Nine
154 10A12 Huatal-Ishen Gross-Ten
155 10B12 Huatal-Inl Gross-Elven
156 11012 Huatal-Lelen Gross-Dozen
157 11112 Huatal-Lelen-Ta Gross-Dozen-One
.
.
.
287 1BB12 Huatal-Inlel-Inl Gross-Eleven*Dozen-Eleven
288 20012 Katal Two*Gross
289 20112 Katal-Ta Two*Gross-One
.
.
.
1727 BBB12 Intal-Inlel-Inl Eleven*Gross-Eleven*Dozen-Eleven
1728 100012 Oriîn (One) 123
1729 100112 Oriîn-Ta 123-One
.
.
.
1885 111112 Oriîn-Huatal-Lelen-Ta 123-Gross-Dozen-One
.
.
.
20735 BBBB12 Indiîn-Intal-Inlel-Inl Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven
20736 1000012 (Ta) Ijol (One) 124
20737 1000112 Ijol iv Ta 124 and One
.
.
.
41471 1BBBB12 Ijol iv Indiîn-Intal-Inlel-Inl 124 and Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven
41472 2000012 Ka Ijolêt Two 124s
41473 2000112 Ka Ijolêt iv Ta Two 124s and One
.
.
.
248831 BBBBB12 Inl Ijolêt iv Indiîn-Intal-Inlel-Inl Eleven 124s and Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven
248832 10000012 Ijolel 124*Dozen Note: The double 'l' between Ijol-lel is dropped, but (unlike Inl) Ijol does not lose it's final 'l' with other magnitude suffixes.
248833 10000112 Ijolel iv Ta 124*Dozen and One
.
.
.
269567 1BBBBB12 Ijolel iv Indiîn-Intal-Inlel-Inl 124*Dozen and Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven
269568 11000012 Lelen-Ta Ijol Dozen-One 124s
269569 11000112 Lelen-Ta Ijol iv Ta Dozen-One 124s and One
.
.
.
2985984 100000012 Ijoltal 124*Gross
.
.
.
429981695 BBBBBBBB12 Indiîn-Intal-Inlel-Inl Ijolêt iv Indiîn-Intal-Inlel-Inl Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven124s and Eleven*123-Eleven*Gross-Eleven*Dozen-Eleven
429981686 10000000012 Saijol (One) 128
.
.
.
469070941 11111111112 Saijol iv Oriîn-Huatal-Lelen-Ta Ijolêt iv Oriîn-Huatal-Lelen-Ta 128 and 123-Gross-Dozen-One 124 and 123-Gross-Dozen-One
.
.
.
Retrieved from "http://www.sedesdraconis.com/index.php/Trade_Tongue/Duodecimal"
Personal tools