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The Wikipedia entry for arity lists a sequence of adjectives meaning in group of (a particular number of elements). When referring to numbers between 0 and 10, the -ary adjectives are:

  • 0 - nullary
  • 1 - unary
  • 2 - binary
  • 3 - ternary
  • 4 - quaternary
  • 5 - quinary
  • 6 - senary
  • 7 - septenary
  • 8 - octonary or octary
  • 9 - novenary or nonary
  • 10 - decenery or denary

Can this sequence be continued? What are the rules (if any) to form the adjective meaning n-ary (in group of n)?

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You weren't so far from a slightly broader answer when you were on Wikipedia. http://exampleproblems.com/wiki/index.php/Arity lists a couple not mentioned above:

  • 0 - nullary or anary - 0
  • ⋮
  • 11 - undenary
  • 12 - duodenary
  • 20 - vigesary
  • 100 - centenary
  • 1000 - millenary

Otherwise, I guess you're stuck with n-ary.

I don't know if terms for other irregul-arities combine: is there a "unvigesary" for 21 or "duovigesary" for 22 or other arbitrary combinations of number roots from ancient languages?

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  • +1 for "irregul-arities" :-)
    – joriki
    Commented Mar 25, 2020 at 6:30

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