raininess vs badness

raininess and badness both are nouns.

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

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

Other hypernyms of raininess include severeness, severity.

raininess (noun)	badness (noun)
(of weather) the badness of the weather	that which is below standard or expectations as of ethics or decency
	used of the degree of something undesirable e.g. pain or weather
	an attribute of mischievous children