gaiety vs jocularity

gaiety and jocularity both are nouns.

Word	Noun	Adjective	Verb	Adverb
gaiety	Yes	No	No	No
jocularity	Yes	No	No	No

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

Other hyponyms of gaiety include glee, gleefulness, hilarity, mirth, mirthfulness, jocundity, jolliness, jollity, joviality.

gaiety (noun)	jocularity (noun)
a gay feeling	activity characterized by good humor
a festive merry feeling	fun characterized by humor
	a feeling of facetious merriment