roughness vs inelegance

roughness and inelegance both are nouns.

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

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

roughness (noun)	inelegance (noun)
harsh or severe speech or behavior	the quality of lacking refinement and good taste
a texture of a surface or edge that is not smooth but is irregular and uneven
the quality of being harsh or rough or grating to the senses
an unpolished unrefined quality
the formation of small pits in a surface as a consequence of corrosion
used of the sea during inclement or stormy weather
rowdy behavior