wrongness vs quality

wrongness and quality both are nouns.

Word	Noun	Adjective	Verb	Adverb
wrongness	Yes	No	No	No
quality	Yes	Yes	No	No

As nouns, quality is a hypernym of wrongness; that is, quality is a word with a broader meaning than wrongness:

wrongness (noun)	quality (noun)
contrary to conscience or morality	an essential and distinguishing attribute of something or someone
the quality of not conforming to fact or truth	(music) the distinctive property of a complex sound (a voice or noise or musical sound)
inappropriate conduct	a degree or grade of excellence or worth
	a characteristic property that defines the apparent individual nature of something
	high social status

wrongness (adjective)	quality (adjective)
	of superior grade
	of high social status