discord vs disagree

discord is a noun but disagree is not a noun.

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

As verbs, discord and disagree are synonyms defined as:

Other synonyms of discord include disaccord.

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

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