at variance vs dissonant

at variance and dissonant both are adjectives.

Word	Noun	Adjective	Verb	Adverb
at variance	No	Yes	No	No
dissonant	No	Yes	No	No

As adjectives, at variance and dissonant are synonyms defined as:

Other synonyms of at variance include discrepant.

at variance (adjective)	dissonant (adjective)
not in accord	not in accord
	lacking in harmony
	characterized by musical dissonance; harmonically unresolved