# Trade Tongue Duodecimal

### From Sedes Draconis

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 10_{10} and 11_{10} as A_{12} and B_{12}, respectively. Also not having yet thought of any word that might even approximate 12^{3}, 12^{4}, and 12^{8}, 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, 12^{2}), and 1728 (12^{3}) respectively.

The name forms of the magnitudes are lelen (12), huatal (12^{2}), oriîn (12^{3}), plus ijol (12^{4}) and saijol (12^{8}, ijol^{2}) 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) 12^{3} of Gadlas, 1728 Gadlas | -leshk (1000) |

Numeral | Duodecimal | Trade Tongue | Translation | Notes |
---|---|---|---|---|

1 | 1_{12} | Ta | One | |

2 | 2_{12} | Ka | Two | |

3 | 3_{12} | Vu | Three | |

4 | 4_{12} | Ngo | Four | |

5 | 5_{12} | Ri | Five | |

6 | 6_{12} | Az | Six | |

7 | 7_{12} | Li | Seven | |

8 | 8_{12} | Vai | Eight | |

9 | 9_{12} | Kez | Nine | |

10 | A_{12} | Ishen | Ten | Up to ten is identical to the decimal system . . . |

11 | B_{12} | Inl | Eleven | . . . but it starts to diverge at eleven. |

12 | 10_{12} | Lelen | Dozen (Twelve) | |

13 | 11_{12} | Lelen-Ta | Dozen-One | |

14 | 12_{12} | Lelen-Ka | Dozen-Two | |

15 | 13_{12} | Lelen-Vu | Dozen-Three | |

16 | 14_{12} | Lelen-Ngo | Dozen-Four | |

17 | 15_{12} | Lelen-Ri | Dozen-Five | |

18 | 16_{12} | Lelen-Az | Dozen-Six | |

19 | 17_{12} | Lelen-Li | Dozen-Seven | |

20 | 18_{12} | Lelen-Vai | Dozen-Eight | |

21 | 19_{12} | Lelen-Kez | Dozen-Nine | |

22 | 1A_{12} | Lelen-Ishen | Dozen-Ten | |

23 | 1B_{12} | Lelen-Inl | Dozen-Eleven | |

24 | 20_{12} | Kalel | Two*Dozen | |

25 | 21_{12} | Kalel-Ta | Two*Dozen-One | |

26 | 22_{12} | Kalel-Ka | Two*Dozen-Two | |

. . . | ||||

35 | 2B_{12} | Kalel-Inl | Two*Dozen-Eleven | |

36 | 30_{12} | Vulel | Three*Dozen | |

37 | 31_{12} | Vulel-Ta | Three*Dozen-One | |

38 | 32_{12} | Vulel-Ka | Three*Dozen-Two | |

. . . | ||||

143 | BB_{12} | 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 | 100_{12} | Huatal | (One) Gross | |

145 | 101_{12} | Huatal-Ta | Gross-One | |

146 | 102_{12} | Huatal-Ka | Gross-Two | |

147 | 103_{12} | Huatal-Vu | Gross-Three | |

148 | 104_{12} | Huatal-Ngo | Gross-Four | |

149 | 105_{12} | Huatal-Ri | Gross-Five | |

150 | 106_{12} | Huatal-Az | Gross-Six | |

151 | 107_{12} | Huatal-Lli | Gross-Seven | |

152 | 108_{12} | Huatal-Vai | Gross-Eight | |

153 | 109_{12} | Huatal-Kez | Gross-Nine | |

154 | 10A_{12} | Huatal-Ishen | Gross-Ten | |

155 | 10B_{12} | Huatal-Inl | Gross-Elven | |

156 | 110_{12} | Huatal-Lelen | Gross-Dozen | |

157 | 111_{12} | Huatal-Lelen-Ta | Gross-Dozen-One | |

. . . | ||||

287 | 1BB_{12} | Huatal-Inlel-Inl | Gross-Eleven*Dozen-Eleven | |

288 | 200_{12} | Katal | Two*Gross | |

289 | 201_{12} | Katal-Ta | Two*Gross-One | |

. . . | ||||

1727 | BBB_{12} | Intal-Inlel-Inl | Eleven*Gross-Eleven*Dozen-Eleven | |

1728 | 1000_{12} | Oriîn | (One) 12^{3}
| |

1729 | 1001_{12} | Oriîn-Ta | 12^{3}-One
| |

. . . | ||||

1885 | 1111_{12} | Oriîn-Huatal-Lelen-Ta | 12^{3}-Gross-Dozen-One
| |

. . . | ||||

20735 | BBBB_{12} | Indiîn-Intal-Inlel-Inl | Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven
| |

20736 | 10000_{12} | (Ta) Ijol | (One) 12^{4}
| |

20737 | 10001_{12} | Ijol iv Ta | 12^{4} and One
| |

. . . | ||||

41471 | 1BBBB_{12} | Ijol iv Indiîn-Intal-Inlel-Inl | 12^{4} and Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven
| |

41472 | 20000_{12} | Ka Ijolêt | Two 12^{4}s
| |

41473 | 20001_{12} | Ka Ijolêt iv Ta | Two 12^{4}s and One
| |

. . . | ||||

248831 | BBBBB_{12} | Inl Ijolêt iv Indiîn-Intal-Inlel-Inl | Eleven 12^{4}s and Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven
| |

248832 | 100000_{12} | Ijolel | 12^{4}*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 | 100001_{12} | Ijolel iv Ta | 12^{4}*Dozen and One
| |

. . . | ||||

269567 | 1BBBBB_{12} | Ijolel iv Indiîn-Intal-Inlel-Inl | 12^{4}*Dozen and Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven
| |

269568 | 110000_{12} | Lelen-Ta Ijol | Dozen-One 12^{4}s
| |

269569 | 110001_{12} | Lelen-Ta Ijol iv Ta | Dozen-One 12^{4}s and One
| |

. . . | ||||

2985984 | 1000000_{12} | Ijoltal | 12^{4}*Gross
| |

. . . | ||||

429981695 | BBBBBBBB_{12} | Indiîn-Intal-Inlel-Inl Ijolêt iv Indiîn-Intal-Inlel-Inl | Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven12^{4}s and Eleven*12^{3}-Eleven*Gross-Eleven*Dozen-Eleven
| |

429981686 | 100000000_{12} | Saijol | (One) 12^{8}
| |

. . . | ||||

469070941 | 111111111_{12} | Saijol iv Oriîn-Huatal-Lelen-Ta Ijolêt iv Oriîn-Huatal-Lelen-Ta | 12^{8} and 12^{3}-Gross-Dozen-One 12^{4} and 12^{3}-Gross-Dozen-One
| |

. . . |