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Adjective: discordant  dis'kor-d(u)nt
  1. Not in agreement or harmony
    "views discordant with present-day ideas";
    - absonant [archaic]
  2. Lacking in harmony
    - disharmonious, dissonant, inharmonic

See also: at variance, discrepant, dissentious, dissonant, divisive, factious, inharmonious, unharmonious

Antonym: accordant

Encyclopedia: Discordant