I am familiar with the differentiation between ordinal numbers and cardinal numbers.

While in English Romance languages and Germanic languages, the rendering of fractions usually corresponds to that of the ordinal numbers, i.e a fifth, and a sixth, a seventh, etc. ; it seems to me that conceptually, they are are a different entity.

To highlight this, in Germanic and Romance languages there seem to be a few exceptions peppered in the lower numbers: English ½= a half 2nd = second , ¼= quarter vs. 4th= fourth. Spanish: ⅓ = um tercio 3º = tercero .

All the texts I've read refer to the set of "half, third, quarter, fifth..." etc. as the "ordinal numbers" of a language. However, it seems to me they are a separate conceptual entity.

Is there a linguistic term for the set of these words in a language? Are there any examples of languages which have large sets of words for fractions (let's say, for fractions smaller than a quarter) that are derived neither from the ordinal (e.g. "one third") or the cardinal "one over three" numbers.

While in English Romance languages and Germanic languages, the rendering of fractions usually corresponds to that of the ordinal numbers, i.e a fifth, and a sixth, a seventh, etc. ; it seems to me that conceptually, they are are a different entity.

To highlight this, in Germanic and Romance languages there seem to be a few exceptions peppered in the lower numbers: English ½= a half 2nd = second , ¼= quarter vs. 4th= fourth. Spanish: ⅓ = um tercio 3º = tercero .

All the texts I've read refer to the set of "half, third, quarter, fifth..." etc. as the "ordinal numbers" of a language. However, it seems to me they are a separate conceptual entity (innately; but also as demonstrated by the presence of the exceptions).

Is there a linguistic term for the set of these words in a language?

Are there any examples of languages which have a set of words (more than 2 or 3) for fractions that are different from both the ordinal number (e.g. "one third") or the cardinal (e.g. "one over three") numbers.

I am familiar with the differentiation between ordinal numbers and cardinal numbers.

While in English Romance languages and Germanic languages, the pronunciation of fractions usually corresponds to the pronunciation of the ordinal numbers, i.e a fifth, and a sixth, a seventh, etc. ; it seems to me that conceptually, they are are a different entity.

To highlight this, in Germanic and Romance languages there seem to be a few exceptions peppered in the lower numbers: English ½= a half 2nd = second , ¼= quarter vs. 4th= fourth. Spanish: ⅓ = um tercio 3º = tercero .

Is there a term for the set of these words in a language? Does is always conform to to ordinal number, or are there languages where the ordinal and the "fractional" forms are different?

I am familiar with the differentiation between ordinal numbers and cardinal numbers.

While in English Romance languages and Germanic languages, the rendering of fractions usually corresponds to that of the ordinal numbers, i.e a fifth, and a sixth, a seventh, etc. ; it seems to me that conceptually, they are are a different entity.

To highlight this, in Germanic and Romance languages there seem to be a few exceptions peppered in the lower numbers: English ½= a half 2nd = second , ¼= quarter vs. 4th= fourth. Spanish: ⅓ = um tercio 3º = tercero .

All the texts I've read refer to the set of "half, third, quarter, fifth..." etc. as the "ordinal numbers" of a language. However, it seems to me they are a separate conceptual entity.

Is there a linguistic term for the set of these words in a language? Are there any examples of languages which have large sets of words for fractions (let's say, for fractions smaller than a quarter) that are derived neither from the ordinal (e.g. "one third") or the cardinal "one over three" numbers.