unsoundness vs badness

unsoundness and badness both are nouns.

Word	Noun	Adjective	Verb	Adverb
unsoundness	Yes	No	No	No
badness	Yes	No	No	No

As nouns, badness is a hypernym of unsoundness; that is, badness is a word with a broader meaning than unsoundness:

unsoundness: not mentally or physically healthy
badness: that which is below standard or expectations as of ethics or decency

Other hypernyms of unsoundness include bad.

unsoundness (noun)	badness (noun)
not mentally or physically healthy	that which is below standard or expectations as of ethics or decency
a misconception that is fallacious and not true or valid	used of the degree of something undesirable e.g. pain or weather
a condition of damage or decay	an attribute of mischievous children