What does duodecimal mean?
Definitions for duodecimal
ˌdu əˈdɛs ə məl, ˌdyu-duodec·i·mal
This dictionary definitions page includes all the possible meanings, example usage and translations of the word duodecimal.
Princeton's WordNet
one-twelfth, twelfth, twelfth part, duodecimaladjective
one part in twelve equal parts
duodecimaladjective
based on twelve
"the duodecimal number system"
Wiktionary
duodecimalnoun
A number system that uses 12 as its base.
duodecimaladjective
Of a number, expressed in duodecimal.
Wikipedia
Duodecimal
The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead written as "10" in duodecimal (meaning "1 dozen and 0 units", instead of "1 ten and 0 units"), whereas the digit string "12" means "1 dozen and 2 units" (decimal 14). Similarly, in duodecimal, "100" means "1 gross", "1000" means "1 great gross", and "0.1" means "1 twelfth" (instead of their decimal meanings "1 hundred", "1 thousand", and "1 tenth", respectively). Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses A and B, as in hexadecimal, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material: ↊ (a turned 2) for ten and ↋ (a turned 3) for eleven. The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors (2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the subitizing range, and the smallest abundant number. All multiples of reciprocals of 3-smooth numbers (a/2b·3c where a,b,c are integers) have a terminating representation in duodecimal. In particular, +1⁄4 (0.3), +1⁄3 (0.4), +1⁄2 (0.6), +2⁄3 (0.8), and +3⁄4 (0.9) all have a short terminating representation in duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number system.In these respects, duodecimal is considered superior to decimal (which has only 2 and 5 as factors) and other proposed bases like octal or hexadecimal. Sexagesimal does even better in this respect (the reciprocals of all 5-smooth numbers terminate), but at the cost of unwieldy multiplication tables and a much larger number of symbols to memorize.
ChatGPT
duodecimal
Duodecimal, also known as base-12 or dozenal, is a numeral system that uses twelve as its base. The numbers from 0 to 11 are usually expressed in this system using digits 0-9 and additional symbols to represent ten and eleven. Unlike decimal system (base-10) that is more common and used in everyday counting and arithmetic, duodecimal system has been suggested as superior for being divisible by more factors.
Webster Dictionary
Duodecimaladjective
proceeding in computation by twelves; expressed in the scale of twelves
Duodecimalnoun
a twelfth part; as, the duodecimals of an inch
Duodecimalnoun
a system of numbers, whose denominations rise in a scale of twelves, as of feet and inches. The system is used chiefly by artificers in computing the superficial and solid contents of their work
Etymology: [L. duodecim twelve. See Dozen.]
Wikidata
Duodecimal
The duodecimal system is a positional notation numeral system using twelve as its base. In this system, the number ten may be written as "A", "T" or "X", and the number eleven as "B" or "E". The number twelve is instead written as "10" in duodecimal, whereas the digit string "12" means "1 dozen and 2 units". Similarly, in duodecimal "100" means "1 gross", "1000" means "1 great gross", and "0.1" means "1 twelfth". The number twelve, a highly composite number, is the smallest number with four non-trivial factors, and the smallest to include as factors all four numbers within the subitizing range. As a result of this increased factorability of the radix and its divisibility by a wide range of the most elemental numbers, duodecimal representations fit more easily than decimal ones into many common patterns, as evidenced by the higher regularity observable in the duodecimal multiplication table. As a result, duodecimal is sometimes considered the most optimal number system. Of its factors, 2 and 3 are prime, which means the reciprocals of all 3-smooth numbers have a terminating representation in duodecimal. In particular, the five most elementary fractions all have a short terminating representation in duodecimal, and twelve is the smallest radix with this feature. This all makes it a more convenient number system for computing fractions than most other number systems in common use, such as the decimal, vigesimal, binary, octal and hexadecimal systems, although the sexagesimal system does better in this respect.
Chambers 20th Century Dictionary
Duodecimal
dū-o-des′i-mal, adj. computed by twelves: twelfth: (pl.) a method of calculating the area of a rectangle when the length and breadth are stated in feet and inches.—adjs. Duodecim′fid, divided into twelve parts; Duodec′imo, formed of sheets folded so as to make twelve leaves.—n. a book of such sheets—usually written 12mo.—Duodecimal scale, the name given to the division of unity into twelve equal parts. [L. duodecim, twelve—duo, two, and decem, ten.]
Numerology
Chaldean Numerology
The numerical value of duodecimal in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of duodecimal in Pythagorean Numerology is: 6
References
Translations for duodecimal
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