badness vs intensity

badness and intensity both are nouns.

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

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

Other hypernyms of badness include intensiveness.

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