disagree vs discord

disagree is not a noun while discord is a noun.

Word	Noun	Adjective	Verb	Adverb
disagree	No	No	Yes	No
discord	Yes	No	Yes	No

As verbs, disagree and discord are synonyms defined as:

Other synonyms of disagree include disaccord.

disagree (noun)	discord (noun)
	strife resulting from a lack of agreement
	a harsh mixture of sounds
	disagreement among those expected to cooperate
	lack of agreement or harmony

disagree (verb)	discord (verb)
be of different opinions	be different from one another
be different from one another