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1, 2, 3, 4, 5, 8, 12, 16, 20, 60 more…

A septemvigesimal numeral system has a base of twenty-seven. It is used in two natural languages, the Telefol language and the Oksapmin language of Papua New Guinea.

Septemvigesimal notation can be used as a concise representation of ternary data, where each septemvigesimal digit represents three ternary digits. This is similar to using octal notation to represent binary data, though the digit set is closer in size to hexadecimal.

Examples: (Digits 10–26 are represented by letters A through Q.)

Decimal Ternary Septemvigesimal
0 000 0
1 001 1
2 002 2
3 010 3
5 012 5
10 101 A
15 120 F
20 202 K
25 221 P
26 222 Q
27 1000 10
81 10000 30

An alternate encoding, mapping 0 to space and 1–26 to A–Z, is occasionally used in puzzles to transform ternary triplets into words or messages.


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