Trigesimal base 30 is the smallest system that has three different prime factors all of the three smallest primes: For the implications, have a look at "Splash!
We no longer publish a regular Newsletter or magazine - all new work appears either here or in the Dozenal Forum, which has attracted many new members with valuable ideas and comments. The dozen, and the dozen dozen, or gross, have shown their usefulness in packing and packaging over many, many years. The merits of base twelve are due to the great factorability of the number twelve, the next really useful number being sixty, but sixty is rather too large for an every-day number base. Timekeeping is heavily reliant on the number 12 and its composites evenly divisible numbers:
Emerson noted that, due to the prevalence of factors of twelve in many traditional units of weight and measure, many of the computational advantages claimed for the metric system could be realized either by the adoption of ten-based weights and measure or by the adoption of the duodecimal number system. Welcome to the Dozenal Society of America Why do some people propose that we learn to count in twelves in addition to counting by tens? Watt included in the above publication exposes a few of the unusual symmetry connections between the duodecimal system and the golden ratio , as well as provides numerous number symmetry-based arguments for the universal nature of the base number system.
The decimal system has only four factors, which are 1 , 2 , 5 , and 10 , of which 2 and 5 are prime. Although twenty has 6 factors, 2 of them prime, similarly to twelve, it is also a much larger base, and so the digit set and the multiplication table are much larger. Decimals handicap the teaching of arithmetic and so inhibit understanding of the physical world and the decimal system is unable to express in simple terms the common proportions by which we order our practical and economic activities. But long before either hexadecimal or binary became familiar words, and before and ever since the French invented the metre and the decimal metric system, decimal notation and base ten have had a rival:
Emerson noted that, due to the prevalence of factors of twelve in many traditional units of weight and measure, many of the computational advantages claimed for the metric system could be realized either by the adoption of ten-based weights and measure or by the adoption of the duodecimal number system. The computer is quite happy with base two and people use base ten because they are used to it and know of no alternative.
In Leo Frankowski 's Conrad Stargard novels, Conrad introduces a duodecimal system of arithmetic at the suggestion of a merchant, who is accustomed to buying and selling goods in dozens and grosses, rather than tens or hundreds. A fact or two:
Posted by: Malashicage | on October 2, 2012
There are, and have been for many years, people who maintain that base ten is not the best choice for humans. Vigesimal base 20 adds two factors to those of ten, namely 4 and 20 , but no additional prime factor. This, and revision and editing of DSGB website pages, will be occupying us for some time.
Decimals handicap the teaching of arithmetic and so inhibit understanding of the physical world and the decimal system is unable to express in simple terms the common proportions by which we order our practical and economic activities. Journal as are other digital editions of previous publications.
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A duodecimal clockface as in the logo of the Dozenal Society of America, here used to denote musical keys Both the Dozenal Society of America and the Dozenal Society of Great Britain promote widespread adoption of the base-twelve system. The "Political" Note The base 12 numerical system, also known as the duodecimal or dozenal system, is just like all the other base numbering and counting systems.
Although twenty has 6 factors, 2 of them prime, similarly to twelve, it is also a much larger base, and so the digit set and the multiplication table are much larger.