Distributive numeral

For distributive plural number, see Grammatical number § Distributive plural.

Distributive numbers versus multipliers

Distributive numbers	singly	doubly	triply
Multipliers	single	double	triple

In linguistics, a distributive numeral, or distributive number word, is a word that answers "how many times each?" or "how many at a time?", such as singly or doubly. They are contrasted with multipliers. In English, this part of speech is rarely used and much less recognized than cardinal numbers and ordinal numbers, but it is clearly distinguished and commonly used in Latin and several Romance languages, such as Romanian.

English

In English distinct distributive numerals exist, such as singly, doubly, and triply, and are derived from the corresponding multiplier (of Latin origin, via French) by suffixing -y (reduction of Middle English -lely > -ly). However, this is more commonly expressed periphrastically, such as "one by one", "two by two"; "one at a time", "two at a time"; "one of each", "two of each"; "in twos", "in threes"; or using a counter word as in "in groups of two" or "two pieces to a ...". Examples include "Please get off the bus one by one so no one falls.", "She jumped up the steps two at a time.", "Students worked in the lab in twos and threes.", "Students worked in groups of two and three.", and "Students worked two people to a team."

The suffixes -some (as in twosome, threesome) and -fold (as in two-fold, three-fold) are also used, though also relatively infrequently. For musical groups solo, duo, trio, quartet, etc. are commonly used, and pair is used for a group of two.

A conspicuous use of distributive numbers is in arity or adicity, to indicate how many parameters a function takes. Most commonly this uses Latin distributive numbers and -ary, as in unary, binary, ternary, but sometimes Greek numbers are used instead, with -adic, as in monadic, dyadic, triadic.

Other languages

Georgian, Latin, and Romanian are notable languages with distributive numerals; see Romanian distributive numbers. An example of this difference can be seen with the distributive number for 'one hundred'. While the cardinal number is 'centum', the distributive form is "centēnī,-ae, a".

In Japanese numerals, distributive forms are formed regularly from a cardinal number, a counter word, and the suffix -zutsu (ずつ), as in hitori-zutsu (一人ずつ, one person at a time, one person each).

In Turkish, one of the -ar/-er suffixes (chosen according to vowel harmony) is added to the end of a cardinal numeral, as in "birer" (one of each) and "dokuzar" (nine of each). If the numeral ends with a vowel, a letter ş comes to the middle; as in "ikişer" (two of each) and "altışar" (six of each).

See also

• Cardinal number
• Ordinal number

Reference

• Gil, David. 2013. Distributive numerals. In: Dryer, Matthew S. & Haspelmath, Martin (eds.) The World Atlas of Language Structures Online. Leipzig: Max Planck Institute for Evolutionary Anthropology. (Available online at http://wals.info/chapter/54, Accessed on 2019-07-23.)