Etymology
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discordant (adj.)

late 14c., discordaunt, "conflicting in nature or kind, not harmoniously connected or related, at variance, contradictory," from Old French descordant, present participle of descorder and directly from Latin discordare "be at variance, differ, quarrel," from discors "disagreeing, disagreement" (see discord (n.)). Of sounds, "inharmonious, dissonant, disagreeable to the ear," c. 1400. Related: Discordantly.

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Definitions of discordant

discordant (adj.)
not in agreement or harmony;
views discordant with present-day ideas
discordant (adj.)
lacking in harmony;
Synonyms: disharmonious / dissonant / inharmonic
From wordnet.princeton.edu