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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 of ...
, or months, in a cycle of the
Sun The Sun is the star at the center of the Solar System. It is a nearly perfect ball of hot plasma, heated to incandescence by nuclear fusion reactions in its core. The Sun radiates this energy mainly as light, ultraviolet, and infrared radi ...
, 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 h ...
. 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 ...
(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 (122 =
144 144 may refer to: * 144 (number), the natural number following 143 and preceding 145 * AD 144, a year of the Julian calendar, in the second century AD * 144 BC, a year of the pre-Julian Roman calendar * ''144'' (film), a 2015 Indian comedy * ''14 ...
) are known as a gross; and twelve gross (123 = 1,728, the duodecimal 1,000) are called a
great gross 1728 is the natural number following 1727 and preceding 1729. 1728 is a dozen gross, one great gross (or grand gross). It is the number of cubic inches in a cubic foot. It is also the number of daily chants of the Hare Krishna mantra by a Hare ...
, a term most often used when shipping or buying items in bulk. A great hundred, also known as a
small gross In English and related languages, several terms involving the words "great" or "gross" relate to numbers involving a multiple of exponents of twelve ( dozen): *A gross refers to a group of 144 items (a dozen dozen or a square dozen, 122). *A great ...
, is
120 120 may refer to: *120 (number), the number * AD 120, a year in the 2nd century AD *120 BC, a year in the 2nd century BC *120 film, a film format for still photography * ''120'' (film), a 2008 film * 120 (MBTA bus) * 120 (New Jersey bus) * 120 (Ken ...
or ten 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 The shilling is a historical coin, and the name of a unit of modern currencies formerly used in the United Kingdom, Australia, New Zealand, other British Commonwealth countries and Ireland, where they were generally equivalent to 12 pence ...
, which was equal to 12 pennies.”


Etymology

The
English English usually refers to: * English language * English people English may also refer to: Peoples, culture, and language * ''English'', an adjective for something of, from, or related to England ** English national ...
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. ...
''douze'' ("twelve", from
Latin Latin (, or , ) is a classical language belonging to the Italic languages, 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 ...
''duodĕcim'') and the
collective A collective is a group of entities that share or are motivated by at least one common issue or interest, or work together to achieve a common objective. Collectives can differ from cooperatives in that they are not necessarily focused upon an ...
suffix In linguistics, a suffix is an affix which is placed after the stem of a word. Common examples are case endings, which indicate the grammatical case of nouns, adjectives, and verb endings, which form the conjugation of verbs. Suffixes can carr ...
''-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 ef ...
s in
Spanish Spanish might refer to: * Items from or related to Spain: **Spaniards are a nation and ethnic group indigenous to Spain **Spanish language, spoken in Spain and many Latin American countries **Spanish cuisine Other places * Spanish, Ontario, Can ...
: ''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 ...
). 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 continental mainland. It comprises England, Scotland, Wales and ...
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 c ...
, 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 A joke is a display of humour in which words are used within a specific and well-defined narrative structure to make people laugh and is usually not meant to be interpreted literally. It usually takes the form of a story, often with dialogu ...
way, as "twelve of today's and one of yesterday's." The 13th loaf added to the dozen is called the vantage loaf. 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 A lagniappe ( , ) is "a small gift given to a customer by a merchant at the time of a purchase" (such as a 13th doughnut on purchase of a dozen), or more broadly, "something given or obtained gratuitously or by way of good measure." It can be u ...
*
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 Seed counting machines count seeds for research and packaging purposes. The machines typically provide total counts of seeds or batch sizes for packaging. Background The first seed counters were developed to count legumes and other seeds which w ...
*
Dozens (game) The Dozens is a game played between two contestants in which the participants insult each other until one of them gives up. Common in African-American communities, the Dozens is almost exclusively played in front of an audience, who encourage the ...


References


External links

{{Wiktionary, baker's dozen
History of the term Baker's dozen
The Phrase Finder Integers Units of amount 12 (number)