intensity vs badness

intensity and badness both are nouns.

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

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

intensity (noun)	badness (noun)
high level or degree; the property of being intense	that which is below standard or expectations as of ethics or decency
chromatic purity: freedom from dilution with white and hence vivid in hue	used of the degree of something undesirable e.g. pain or weather
the magnitude of sound (usually in a specified direction)	an attribute of mischievous children
the amount of energy transmitted (as by acoustic or electromagnetic radiation)