disparity vs gap

disparity and gap both are nouns.

Word	Noun	Adjective	Verb	Adverb
disparity	Yes	No	No	No
gap	Yes	No	Yes	No

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

Other hyponyms of disparity include far cry, spread, disconnect, disconnection, gulf, disproportion, dissymmetry, imbalance.

disparity (noun)	gap (noun)
inequality or difference in some respect	an act of delaying or interrupting the continuity
	a narrow opening
	a conspicuous disparity or difference as between two figures
	a difference (especially an unfortunate difference) between two opinions or two views or two situations
	an open or empty space in or between things
	a pass between mountain peaks; geomorphological term for the lowest point on a mountain ridge between two peaks

disparity (verb)	gap (verb)
	make an opening or gap in