A dozen (commonly abbreviated doz or dz) is a grouping of
twelve.
The dozen may be one of the earliest primitive integer groupings, perhaps because there are approximately a dozen cycles of the
Moon
The Moon is Earth's only natural satellite. It is the fifth largest satellite in the Solar System and the largest and most massive relative to its parent planet, with a diameter about one-quarter that of Earth (comparable to the width ...
, or
months, in a cycle of the
Sun, or
year
A year or annus is the orbital period of a planetary body, for example, the Earth, moving in its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the ...
. Twelve is convenient because it has a maximal number of
divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
s among the numbers up to its double, a property only true of 1, 2, 6, 12, 60, 360, and 2520.
The use of twelve as a base number, known as the
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 wr ...
system (also as ''dozenal''), originated in
Mesopotamia
Mesopotamia ''Mesopotamíā''; ar, بِلَاد ٱلرَّافِدَيْن or ; syc, ܐܪܡ ܢܗܪ̈ܝܢ, or , ) is a historical region of Western Asia situated within the Tigris–Euphrates river system, in the northern part of the F ...
(see also
sexagesimal
Sexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form ...
). Counting in base-12 can easily be accomplished on one's hands by counting each finger bone with one's thumb. Using this method, one hand can count to twelve, and two hands (with the second hand as a placeholder for representing units of twelve) can count to 144. Twelve dozen (12
2 =
144) are known as a
gross; and twelve gross (12
3 =
1,728, the duodecimal 1,000) are called a
great gross, a term most often used when shipping or buying items in bulk. A
great hundred
The long hundred, also known as the great hundred or twelfty, is the number 120 (in base-10 Arabic numerals) that was referred to as "hundred" in Germanic languages prior to the 15th century, and is now known as one hundred twenty, or six score. ...
, also known as a
small gross, is
120 or
ten
Ten, TEN or 10 may refer to:
* 10, an even natural number following 9 and preceding 11
* one of the years 10 BC, AD 10, 1910 and 2010
* October, the tenth month of the year
Places
* Mount Ten, in Vietnam
* Tongren Fenghuang Airport (IATA code ...
dozen.
Dozen may also be used to express a large quantity as in "several dozen" (e.g., dozens of people came to the party).
Varying by country, some products are packaged or sold by the dozen, often foodstuff (a dozen eggs). According to one source, sales by the dozen may derive from
English units
English units are the units of measurement used in England up to 1826 (when they were replaced by Imperial units), which evolved as a combination of the Anglo-Saxon and Roman systems of units. Various standards have applied to English units at ...
, a system under which “one egg could be sold for a penny or 12 for a
shilling, which was equal to 12 pennies.”
Etymology
The
English word ''dozen'' comes from the old form ''douzaine'', a
French
French (french: français(e), link=no) may refer to:
* Something of, from, or related to France
** French language, which originated in France, and its various dialects and accents
** French people, a nation and ethnic group identified with Franc ...
word meaning "a group of twelve" (''"Assemblage de choses de même nature au nombre de douze"'' (translation: ''A group of twelve things of the same nature''), as defined in the eighth edition of the
''Dictionnaire de l'Académie française''). This French word is a derivation from the
cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set. T ...
''douze'' ("twelve", from
Latin
Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power ...
''duodĕcim'') and the
collective suffix ''-aine'' (from Latin ''-ēna''), a suffix also used to form other words with similar meanings such as ''quinzaine'' (a group of fifteen), ''vingtaine'' (a group of twenty), ''centaine'' (a group of one hundred), etc. These French words have synonymous
cognate
In historical linguistics, cognates or lexical cognates are sets of words in different languages that have been inherited in direct descent from an etymological ancestor in a common parent language. Because language change can have radical e ...
s in
Spanish: ''docena'', ''quincena'', ''veintena'', ''centena'', etc. English ''dozen'', French ''douzaine'', Catalan ''dotzena'', Portuguese "dúzia", Persian dowjin "دوجین", Arabic durzen "درزن", Turkish "düzine", German ''Dutzend'', Dutch ''dozijn'', Italian ''dozzina'' and Polish ''tuzin'', are also used as indefinite
quantifiers to mean "about twelve" or "many" (as in "a dozen times", "dozens of people").
A confusion may arise with the Anglo-Norman ''dizeyne'' (French ''dixaine'' or ''dizaine'') a tithing, or group of ten households — dating from the earlier English system of grouping households into tens and hundreds for the purposes of law, order and mutual surety (see
Tithing
A tithing or tything was a historic English legal, administrative or territorial unit, originally ten hides (and hence, one tenth of a hundred). Tithings later came to be seen as subdivisions of a manor or civil parish. The tithing's leader or sp ...
). In some texts this 'dizeyne' may be rendered as 'dozen'.
Half a dozen
The phrase half a dozen usually means six (6) of something. The
idiom
An idiom is a phrase or expression that typically presents a figurative, non-literal meaning attached to the phrase; but some phrases become figurative idioms while retaining the literal meaning of the phrase. Categorized as formulaic language, ...
"six of one, half a dozen of the other" means two options are of equal worth so choosing one is the same as choosing the other.
Baker's dozen
A baker's dozen, devil's dozen, long dozen, or long measure is
13, one more than a standard dozen. The broadest use of baker's dozen today is simply a group of thirteen objects (often baked goods). The term has meant different things over the last few centuries.
In the
United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the European mainland, continental mainland. It comprises England, Scotlan ...
when selling certain goods, bakers were obliged to sell goods by the dozen at a specific weight or quality (or a specific average weight). During this time, bakers who sold a dozen units that failed to meet this requirement could be penalized with a fine. Therefore, to avoid risking this penalty, some bakers included an extra unit to be sure the minimum weight was met, bringing the total to 13 units or what is now commonly known as a baker's dozen.
According to the
Oxford English Dictionary
The ''Oxford English Dictionary'' (''OED'') is the first and foundational historical dictionary of the English language, published by Oxford University Press (OUP). It traces the historical development of the English language, providing a com ...
, the term "baker's dozen" originated in the late 16th century and is "apparently so called after the former practice among bakers of including a thirteenth loaf when selling a dozen to a retailer, the extra loaf representing the retailer's profit."
According to the 1811 ''Classical Dictionary of the Vulgar Tongue'', by
Francis Grose
Francis Grose (born before 11 June 1731 – 12 May 1791) was an English antiquary, draughtsman, and lexicographer. He produced ''A Classical Dictionary of the Vulgar Tongue'' (1785) and ''A Provincial Glossary, with a Collection of Local Pr ...
, "a Baker's Dozen is Thirteen; that number of rolls being allowed to the purchaser of a dozen". However, contrary to most sources, according to the anonymous 1785 version of that dictionary, which was probably also by Grose, "a Baker's Dozen is Fourteen, that number of rolls being allowed to the purchaser of a dozen".
The term has also been defined in a
jocular way, as "twelve of today's and one of yesterday's."
The 13th loaf added to the dozen is called the
vantage loaf
A vantage loaf (first recorded in 1612) is the 13th loaf of a baker's dozen.—a loaf of bread which is to the buyer's advantage, being in addition to the number ordered. The 13th-century English law governing trade in bread and ale, known as t ...
.
A lesser-used regionalism is the Texas dozen, which generally consists of 15. This is typically used only in Texas and surrounding areas for such goods as flowers or baked goods, although can be applied to anything that is counted, such as photographs.
See also
*
Lagniappe
*
Fourteener (poetry)
In poetry, a fourteener is a line consisting of 14 syllables, which are usually made of seven iambic feet, for which the style is also called iambic heptameter. It is most commonly found in English poetry produced in the 16th and 17th centuries ...
*
Seed-counting machine
*
Dozens (game)
References
External links
{{Wiktionary, baker's dozen
History of the term Baker's dozenThe Phrase Finder
Integers
Units of amount
12 (number)