This page describes a hypothetical number-naming system for aliens that use base twelve, based on the English names for numbers in base ten. The numbers from one to twelve are combined in various ways to count to 143 (12×12 − 1). 144 (12×12) is represented as Gross, which serves as an additional root to count to 1727 (12×12×12 − 1).
In the following table, the digit ten is represented by X (roman numeral for ten), and elev (eleven) is represented by E (first letter of the word eleven).
The root numbers are:
Number Base 10 |
Number Base 12 |
Name of number | Number Base 10 |
Number Base 12 |
Name of number | Number Base 10 |
Number Base 12 |
Name of number | ||
---|---|---|---|---|---|---|---|---|---|---|
1 | 112 | One | 12 | 1012 | Twelve | 144 | 10012 | Gross | ||
2 | 212 | Two | 24 | 2012 | Twotwelves | 288 | 20012 | Twogrosses | ||
3 | 312 | Three | 36 | 3012 | Threetwelves | 432 | 30012 | Threegrosses | ||
4 | 412 | Four | 48 | 4012 | Fourtwelves | 576 | 40012 | Fourgrosses | ||
5 | 512 | Five | 60 | 5012 | Fivetwelves | 720 | 50012 | Fivegrosses | ||
6 | 612 | Six | 72 | 6012 | Sixtwelves | 864 | 60012 | Sixgrosses | ||
7 | 712 | Seven | 84 | 7012 | Seventwelves | 1008 | 70012 | Sevengrosses | ||
8 | 812 | Eight | 96 | 8012 | Eighttwelves | 1152 | 80012 | Eightgrosses | ||
9 | 912 | Nine | 108 | 9012 | Ninetwelves | 1296 | 90012 | Ninegrosses | ||
10 | X12 | Ten | 120 | X012 | Tentwelves | 1440 | X0012 | Tengrosses | ||
11 | E12 | Elev | 132 | E012 | Elevtwelves | 1584 | E0012 | Elevgrosses |
In the above table, all root numbers are made by combining the name for the number from two to eleven to the number part, which is “twelve” for twelve times the base number, and “gross” for 144 times the base number.
Eleven is shortened to Elev because eleven sounds too similar to seven.
The roots ending with “twelve” and “gross” take the suffix “and” when combined with a following number. For example, 27 (2312) is called “twotwelves-and-three. The use of this linking root makes it easier to tell the difference between one number and a sequence of numbers. For example, 314 (22212) is Twogrosses-and-Twotwelves-and-Two, but the sequence of numbers 288 (20012), 24 (2012), 2 (212) is Twogrosses, Twotwelves, Two. For similar reasons, multiples of the base number are expressed in the plural rather than the singular because the plural makes it easier to distinguish between single numbers and pairs of numbers. Compare twotwelves (24 = 2012) and two, twelve (2 = 212 and 12 = 1012).
The following table has some more example numbers.
Number Base 10 |
Number Base 12 |
Name of number |
---|---|---|
13 | 1112 | Twelve-and-One |
88 | 7412 | Seventwelves-and-Four |
100 | 8412 | Eighttwelves-and-Four |
145 | 10112 | Gross-and-One |
156 | 11012 | Gross-and-Twelve |
157 | 11112 | Gross-and-Twelve-and-One |
583 | 40712 | Fourgrosses-and-Seven |
1000 | 6X412 | Sixgrosses-and-Tentwelves-and-Four |
1727 | EEE12 | Elevgrosses-and-Elevtwelves-and-Elev |
Power | Base 12 | Base 10 |
---|---|---|
120 | 112 | 1 |
121 | 1012 | 12 |
122 | 10012 | 144 |
123 | 100012 | 1,728 |
124 | 1000012 | 20,736 |
125 | 10000012 | 248,832 |
126 | 100000012 | 2,985,984 |
127 | 1000000012 | 35,831,808 |
128 | 10000000012 | 429,981,696 |
129 | 100000000012 | 5,159,780,352 |
1210 | 1000000000012 | 61,917,364,224 |
1211 | 10000000000012 | 743,008,370,688 |
1212 | 100000000000012 | 8,916,100,448,256 |