badness vs disobedience

badness and disobedience both are nouns.

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

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

badness (noun)	disobedience (noun)
that which is below standard or expectations as of ethics or decency	the failure to obey
used of the degree of something undesirable e.g. pain or weather	the trait of being unwilling to obey
an attribute of mischievous children