disparity vs gulf

disparity and gulf both are nouns.

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

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

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

disparity (noun)	gulf (noun)
inequality or difference in some respect	an unbridgeable disparity (as from a failure of understanding)
	a deep wide chasm
	an arm of a sea or ocean partly enclosed by land; larger than a bay