quirkiness vs oddity

quirkiness and oddity both are nouns.

Word	Noun	Adjective	Verb	Adverb
quirkiness	Yes	No	No	No
oddity	Yes	No	No	No

As nouns, quirkiness and oddity are synonyms defined as:

Other synonyms of quirkiness include crotchet, queerness, quirk.

quirkiness (noun)	oddity (noun)
a strange attitude or habit	something unusual -- perhaps worthy of collecting
	a strange attitude or habit
	eccentricity that is not easily explained