derogation vs calumny

derogation and calumny both are nouns.

Word	Noun	Adjective	Verb	Adverb
derogation	Yes	No	No	No
calumny	Yes	No	No	No

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

derogation: a communication that belittles somebody or something
calumny: a false accusation of an offense or a malicious misrepresentation of someone's words or actions

derogation (noun)	calumny (noun)
(law) the partial taking away of the effectiveness of a law; a partial repeal or abolition of a law	an abusive attack on a person's character or good name
a communication that belittles somebody or something	a false accusation of an offense or a malicious misrepresentation of someone's words or actions