disdain vs disparagement

disdain and disparagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
disdain	Yes	No	Yes	No
disparagement	Yes	No	No	No

As nouns, disparagement is a hypernym of disdain; that is, disparagement is a word with a broader meaning than disdain:

disdain: a communication that indicates lack of respect by patronizing the recipient
disparagement: a communication that belittles somebody or something

Other hypernyms of disdain include depreciation, derogation.

disdain (noun)	disparagement (noun)
a communication that indicates lack of respect by patronizing the recipient	the act of speaking contemptuously of
lack of respect accompanied by a feeling of intense dislike	a communication that belittles somebody or something

disdain (verb)	disparagement (verb)
reject with contempt
look down on with disdain