disparity vs far cry

disparity and far cry both are nouns.

Word	Noun	Adjective	Verb	Adverb
disparity	Yes	No	No	No
far cry	Yes	No	No	No

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

disparity: inequality or difference in some respect
far cry: a disappointing disparity; a huge disparity; a world of difference; worlds apart

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

disparity (noun)	far cry (noun)
inequality or difference in some respect	distance estimated in terms of the audibility of a cry
	a disappointing disparity; a huge disparity; a world of difference; worlds apart