obscenity vs bawdy

obscenity and bawdy both are nouns.

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

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

Other hyponyms of obscenity include bawdry, scatology.

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

obscenity (adjective)	bawdy (adjective)
	humorously vulgar