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Topic: Duodecimal

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In the News (Wed 24 Apr 19)

  Duodecimal - Wikipedia, the free encyclopedia
In a duodecimal place system, ten is written as A, eleven is written as B, twelve is written as 10.
Advocates of duodecimal systems argue that this is particularly true of financial calculations, in which the twelve months of the year often enter into calculations.
However, when recurring fractions do occur in duodecimal notation, they are less likely to have a very short period than in decimal notation, because 12 (twelve) is between two prime numbers, 11 (eleven) and 13 (thirteen), whereas ten is adjacent to composite number 9.
en.wikipedia.org /wiki/Duodecimal   (1506 words)

 Talk:Duodecimal - Wikipedia, the free encyclopedia
MOST convenient, and often used as an explanation for the use of duodecimal systems in ancient Mesopotamia - and hence in Astrology, Astronomy, Chronology, etc., since we all adopted their version of that.
I post a question on the talk:Decimal page sometime ago about using the thumb to count the finger joints and finger tips in a hexadecimal system.
Above it seems to imply that there are no names for 10,000 or 100,000 in duodecimal.
en.wikipedia.org /wiki/Talk:Duodecimal   (869 words)

 1301.0 - Year Book Australia, 1922
After the lapse of exactly four centuries it is found that every continental European country has abandoned duodecimal for decimal coinage, that new countries have unanimously adopted the decimal coinage bronze system, and that, in short, decimal coinage is universal throughout the world, excepting the in part of the British Empire.
It may be remarked here that a point frequently urged in favour of the duodecimal system is the superior divisibility of twelve as opposed to ten.
But this advantage is nullified by the fact that the duodecimals cannot be adapted, for the purposes of computation, to our system of numeration, which is based upon ten.
www.abs.gov.au /ausstats/abs@.nsf/94713ad445ff1425ca25682000192af2/c225d68568e1b5b5ca256f2a00073476!OpenDocument   (3784 words)

 MHS Transactions: On the proposed change of time marking to a decimal system
Many may look upon our notation as a fixed institution like the climate or the law of gravity, and therefore to be accepted, and many fancy that in the decimal system they have attained the full height of excellence and do not look beyond it.
It was taught in one of the principal military colleges in France about the beginning of the present century, but I have not met with record of its having been practiced elsewhere.
One better way is certainly the duodecimal or dodecanal, but in order to reap the full benefit of it we would have to make a little change.
www.mhs.mb.ca /docs/transactions/1/timechange.shtml   (2243 words)

 Kids.net.au - Encyclopedia Duodecimal -   (Site not responding. Last check: 2007-11-06)
Since 2, 3, 4, 6 are factors of 12, it is a convenient number in doing fractions.
Base 12 number system is not common, but at least one example of duodecimal numerals is in use in the Chepang language of Nepal.
Historically, the number 12 was used in many civilizations.
www.kidsseek.com /encyclopedia-wiki/du/Duodecimal   (274 words)

 Duodecimal Associates Home Page
Duodecimal offers inexpensive operations support for enterprises and individuals, with a concentration in implementing hardware and software on computers and networks.
Duodecimal can handle installation, expansion and maintenance of your network servers, connections, and wiring, as well as support for individual computers and peripherals.
Duodecimal Associates is a technical consulting practice operating in Eastern Massachusetts.
www.nvo.com /duodecimal   (119 words)

 Maldives Royal Family Official Website: Majid's Pages- Maldive Numbers
The duodecimal system was probably based on the twelve moons of the seasonal year.
This was a curious merger of the duodecimal and decimal.
Three and four are factors of twelve rather than ten indicating the duodecimal influence on the currency.
www.maldivesroyalfamily.com /maldive_numbers.shtml   (1456 words)

 Sedes Draconis: Trade Tongue/Duodecimal
It's structure is identical to the decimal system, with magnitude suffixes for the powers of twelve parallel to the standard power of ten suffixes.
The words that exist in the duodecimal system but not the decimal system are borrowed and modified from a native gnomish language of the time.
The duodecimal magnitude suffixes are -lel, -tal, and -diîn; for twelve (a dozen), 144 (a gross, 12
www.sedesdraconis.com /index.cgi?Trade_Tongue/Duodecimal   (276 words)

 AllRefer.com - numeration (Mathematics) - Encyclopedia   (Site not responding. Last check: 2007-11-06)
The decimal numeral 7 and the binary numeral 111 are thus designations for the same number.
The duodecimal system uses 12 as a base and has some advantages arising from the fact that 12 is divisible by four different numbers : 2, 3, 4, 6 : other than 1 and 12 itself.
Thus, in addition to the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, the symbols X (called "dek") and E (called "el") to represent the numbers 10 and 11 have been suggested by the Duodecimal Society of America.
reference.allrefer.com /encyclopedia/N/numerati.html   (430 words)

 A Comparison of the Organization and Use of Chinese and Mesoamerican Abaci
This is a fully functional Duodecimal Abacus, and to make it functional, the value of the Broken Bar sign has been changed to "1", and the signs and values re-arranged.
And so, the pertinent line from the I-Ching was perhaps mis-interpreted; the line appears to describe an actual 3/2 duodecimal abacus, and was referring to its two decks: the upper one ("Heaven") with three beads per column, and the lower one ("Earth") with two beads per column.
Finally, in order for the duodecimal abacus to be fully functional, each Upper Deck bead and associated Solid Bar sign would have necessitated a value of "3", and each Lower Deck bead and associated Broken Bar sign, a value of "1".
www.ee.ryerson.ca /~elf/abacus/dbk   (853 words)

 Minicoy Pages- History
In the old Maldive duodecimal system of counting, twelve thousand was a round figure such as a hundred thousand in the decimal system.
The duodecimal system was based on the fact that there were twelve moons during the year.
The equivalent duodecimal round figure would be twelve to the power of four, in terms of place values.
www.maldivesroyalfamily.com /minicoy_history.shtml   (1420 words)

 Halfbakery: Dos dedos, mi amigos
Therefore a base-12, or duodecimal, number system would be a great improvement and save countless man-hours of mental arithmetic.
Duodecimal number systems are not unknown - as most halfbakers are doubtless aware, several languages of the Niger-Kordofian group use duodecimal counting systems, notably Janji, but also Kahugu, Gure, and Piti.
With their clear superiority in terms of arithmetic, it is obvious that the only reason we persist with a base-10 system is the coincidence that we happen to have 10 fingers.
www.halfbakery.com /idea/Dos_20dedos_2c_20mi_20amigos   (750 words)

 Notinole from Babylon to Middle-earth — Merp.com Website   (Site not responding. Last check: 2007-11-06)
In a duodecimal format, such a number would have to be "twenty-seventh": 2 twelves (24) and 7.
That the Eldar reckoned in sixes and twelves is therefore not an indication that they were using any sort of duodecimal system for their mathematics.
Helge asks if meneg might not be translated idiomatically rather than literally, since in a duodecimal system the decimal 1000 value would not be significant and the duodecimal 1000 would have a decimal value of 1728.
www.merp.com /essays/MichaelMartinez/michaelmartinezsuite101essay86/view   (3092 words)

The Elvish yén or "long year" of 144 solar years would in a sense be their equivalent of a "century", as 144 is the first three-digit number in a duodecimal system, like our 100.
In Tengwar, the alphabet native to Quenya, numbers are written "backwards": "The numerals were written according to a positional system like the Arabic, beginning at the left with the lowest number and rising to the highest on the right" (Letters:423).
The duodecimal system uses multipla of 12 (*rasta) instead of 10: *attarasta 24, nelderasta (or *nellasta for *nelrasta) 36, *cantarasta (or *carrasta for *canrasta) 48, *lemperasta 60, *enquerasta 72, *otsorasta 84, toltorasta 96, nerterasta 108, *cainerrasta (for *cainenrasta) 120, minquerasta 132.
www.uib.no /People/hnohf/numerals.htm   (1039 words)

 Tengwar Numerals
There are two main systems of using the numerals, one is a duodecimal system (Base 12) used by the Elves and the other is a decimal system (Base 10) used by mortals.
Here is a table for the duodecimal system (in Base 12), according to the usage of the Elves.
This also has the small number to the left, and it is zero, and the larger number to the right, which is 2.
www.geocities.com /Athens/Parthenon/9902/tengnum.html   (853 words)

 Alternate Number Bases
His monumental Duodecimal Arithmetic was published by Longmans, Green and Company in 1938, making available for the first time in history adequate tables of logarithms to the twelve base, trigonometric functions in terms of the duodecimal circle, and other needed apparatus.
Action was started to obtain a nonprofit charter, which states that the purpose of the Society is "to conduct research and education of the public in mathematical science, with particular relation to the use of Base Twelve in numeration, mathematics, weights and measures, and other branches of pure and applied science." Mr.
We were able to show the clerks that by using duodecimal multiplication with the inches now simply duodecimals of feet (i.e., 2′6″ is simply 2;6 - two and six-twelfths feet) - and pointing off three places in the answer, the problem is amazingly simplified.
www.dozenalsociety.org.uk /basicstuff/andrews.html   (3108 words)

 Decimal vs. Duodecimal, MATSUSHITA
Simply, duodecimal A and B are ignored, and duodecimal ten is used in situ as decimal ten.
Therefore, it is safe to conclude that the Nimbia dialect acquired its duodecimal system at a certain past stage, due to the contact with adjacent duodecimal patch of Plateau languages.
Nimbia simply bypassed duodecimal B and 10 which were an additional "superstructure".
www3.aa.tufs.ac.jp /~P_aflang/TEXTS/oct98/decimal.html   (679 words)

 How does the duodecimal system work? : Mathematics information from Answerbag
The duodecimal, or "base twelve", system uses twelve distinct characters to encode numbers -- the decimal digits 0 through 9, plus two additional characters which represent the values ten and eleven, respectively.
In this discussion, I'll use the letters T and E, respectively, to represent ten and eleven, although A and B are also commonly used.
Duodecimal notation works the same way, except that powers of twelve are used instead of powers of ten.
www.answerbag.com /q_view.php/7915   (250 words)

 How are fractional numbers written in the duodecimal system? : Mathematics information from Answerbag   (Site not responding. Last check: 2007-11-06)
You can write fractions in the duodecimal system, using T and E for the extra two "digits", in a similar way to how it is done in decimal.
As fractions: T/E (in duodecimal) is 10/11 (in decimal)
Similarly, while one fifth is exactly 0.2 in decimal, in duodecimal it cannot be represented exactly this way, but is approximately: 0.24972497...
www.answerbag.com /q_view.php/25856   (238 words)

 Duodecimal - TheBestLinks.com - Base 12, Chinese zodiac, Decimal, Dozenal Society of Great Britain, ...   (Site not responding. Last check: 2007-11-06)
Duodecimal - TheBestLinks.com - Base 12, Chinese zodiac, Decimal, Dozenal Society of Great Britain,...
In the duodecimal (= 2×2×3) system, 1/8 is exact; 1/20 and 1/500 recur because they include 5 as a factor; 1/3 is exact; and 1/7 recurs, just as it does in base 10.
This is particularly true of financial calculations, in which the twelve months of the year often enter into calculations.
www.thebestlinks.com /Base_12.html   (707 words)

 duodecimal - definition by dict.die.net   (Site not responding. Last check: 2007-11-06)
See Dozen.] Proceeding in computation by twelves; expressed in the scale of twelves.
A twelfth part; as, the duodecimals of an inch.
The system is used chiefly by artificers in computing the superficial and solid contents of their work.
dict.die.net /duodecimal   (67 words)

 Stichting Huygens-Fokker: On the Expansion of the Musician's Realm of Harmony
Yet one has to realise, that the duodecimal temperament is not a gift from heaven, no pre-established structure of fact.
It is a compromise between the finite technical power of man and his inmost desire to realise the highest musical truths attainable in his songs and instrumental playing.
A majority of musicians are not aware of the deficiencies of that duodecimal equal temperament.
www.xs4all.nl /~huygensf/doc/realm.html   (2766 words)

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