This paper is about the case pattern of nouns in singular numeral-noun constructions in Finnish. It is proposed that the case of the noun – partitive or non-partitive – is determined by the semantic properties of the numeral-noun construction. In particular, by analyzing numeral-noun constructions as distributive constructions that incorporate an unboundedness requirement formalized as stratified reference (Champollion 2010, 2015, 2017), I show that it is possible to account for the case contrast without assuming any crucial syntactic or semantic differences between the numerals or nouns themselves.