The Watering Hole: September 16 – Duodecimal Number Systems

A duodecimal multiplication table
1 2 3 4 5 6 7 8 9 A B 10
2 4 6 8 A 10 12 14 16 18 1A 20
3 6 9 10 13 16 19 20 23 26 29 30
4 8 10 14 18 20 24 28 30 34 38 40
5 A 13 18 21 26 2B 34 39 42 47 50
6 10 16 20 26 30 36 40 46 50 56 60
7 12 19 24 2B 36 41 48 53 5A 65 70
8 14 20 28 34 40 48 54 60 68 74 80
9 16 23 30 39 46 53 60 69 76 83 90
A 18 26 34 42 50 5A 68 76 84 92 A0
B 1A 29 38 47 56 65 74 83 92 A1 B0
10 20 30 40 50 60 70 80 90 A0 B0 100

Duodecimal numbering systems arose for a reason. First, the duodecimal numbering system has four common denominators (2, 3, 4 and 6) while a decimal system, which seems more natural, has only 2 (2 and 5,) both primes. This made the subdivision of goods more efficient. We know that this became a popular system because Germanic languages carry the vestiges of this numbering system because of the existence of of verbal values for the numbers 11 and 12 (in decimal terms.) Also we still carry the concept of this system in the measurements for a dozen, the gross (12 dozen dozen) and the great gross (12 dozen gross.) We also have 12 months in the year and 12 signs of the Zodiac.

Base 12 numbers are also a basis in the measurement of time during the day.

If you are into self-punishment and want to know more on this subject and other number systems, you can start here

I hope that this all shows up correctly. This is the first time that I tried out what I tried to present something using material from the blurb on tables.

This is our open thread. Please feel free to offer your own comments on this or any other topic.

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