conformity vs rightness

conformity and rightness both are nouns.

Word	Noun	Adjective	Verb	Adverb
conformity	Yes	No	No	No
rightness	Yes	No	No	No

As nouns, rightness is a hyponym of conformity; that is, rightness is a word with a more specific, narrower meaning than conformity:

conformity: correspondence in form or appearance
rightness: conformity with some esthetic standard of correctness or propriety

Other hyponyms of conformity include justness, nicety, normality.

conformity (noun)	rightness (noun)
acting according to certain accepted standards	according with conscience or morality
hardened conventionality	conformity to fact or truth
correspondence in form or appearance	appropriate conduct; doing the right thing
orthodoxy in thoughts and belief	conformity with some esthetic standard of correctness or propriety
concurrence of opinion