commonness vs inelegance

commonness and inelegance both are nouns.

Word	Noun	Adjective	Verb	Adverb
commonness	Yes	No	No	No
inelegance	Yes	No	No	No

As nouns, inelegance is a hypernym of commonness; that is, inelegance is a word with a broader meaning than commonness:

commonness (noun)	inelegance (noun)
ordinariness as a consequence of being frequent and commonplace	the quality of lacking refinement and good taste
sharing of common attributes
the quality of lacking taste and refinement
the state of being that is commonly observed