badness vs rascality

badness and rascality both are nouns.

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

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

Other hyponyms of badness include prankishness, roguishness.

badness (noun)	rascality (noun)
that which is below standard or expectations as of ethics or decency	reckless or malicious behavior that causes discomfort or annoyance in others
used of the degree of something undesirable e.g. pain or weather	the trait of indulging in disreputable pranks
an attribute of mischievous children	the quality of being a slippery rascal