indulgence vs frivolity

indulgence and frivolity both are nouns.

Word	Noun	Adjective	Verb	Adverb
indulgence	Yes	No	No	No
frivolity	Yes	No	No	No

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

Other hyponyms of indulgence include meshugaas, mishegaas, mishegoss, buffoonery, clowning, harlequinade, japery, prank.

indulgence (noun)	frivolity (noun)
the act of indulging or gratifying a desire	acting like a clown or buffoon
foolish or senseless behavior	something of little value or significance
the remission by the pope of the temporal punishment in purgatory that is still due for sins even after absolution	the trait of being frivolous; not serious or sensible
an inability to resist the gratification of whims and desires
a disposition to yield to the wishes of someone