bawdy vs obscenity

bawdy and obscenity both are nouns.

Word	Noun	Adjective	Verb	Adverb
bawdy	Yes	Yes	No	No
obscenity	Yes	No	No	No

As nouns, obscenity is a hypernym of bawdy; that is, obscenity is a word with a broader meaning than bawdy:

Other hypernyms of bawdy include dirty word, filth, smut, vulgarism.

bawdy (noun)	obscenity (noun)
lewd or obscene talk or writing	an obscene act
	the trait of behaving in an obscene manner
	an offensive or indecent word or phrase

bawdy (adjective)	obscenity (adjective)
humorously vulgar