gap vs disparity

gap and disparity both are nouns.

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

As nouns, disparity is a hypernym of gap; that is, disparity is a word with a broader meaning than gap:

gap (noun)	disparity (noun)
an act of delaying or interrupting the continuity	inequality or difference in some respect
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

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