severeness vs badness

severeness and badness both are nouns.

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

As nouns, severeness and badness are synonyms defined as:

severeness and badness: used of the degree of something undesirable e.g. pain or weather

Other synonyms of severeness include severity.

severeness (noun)	badness (noun)
extreme plainness	that which is below standard or expectations as of ethics or decency
excessive sternness	used of the degree of something undesirable e.g. pain or weather
something hard to endure	an attribute of mischievous children
used of the degree of something undesirable e.g. pain or weather