Source : Webster's Revised Unabridged Dictionary (1913)

Discordant \Dis*cord"ant\, a. [OE. discordant, descordaunt, OF.
   descordant, discordant, F. discordant, p. pr. of discorder,
   OF. also, descorder. See {Discord}, n.]
   1. Disagreeing; incongruous; being at variance; clashing;
      opposing; not harmonious.

            The discordant elements out of which the emperor had
            compounded his realm did not coalesce. --Motley.

   2. [See {Discord}, n.,

   2. ] (Mus.) Dissonant; not in harmony or musical concord;
      harsh; jarring; as, discordant notes or sounds.

            For still their music seemed to start Discordant
            echoes in each heart.                 --Longfellow.

   3. (Geol.) Said of strata which lack conformity in direction
      of bedding, either as in unconformability, or as caused by
      a fault.

   Syn: Disagreeing; incongruous; contradictory; repugnant;
        opposite; contrary; inconsistent; dissonant; harsh;
        jarring; irreconcilable. -- {Dis*cord"ant*ly}, adv. --
        {Dis*cord"ant*ness}, n. [R.]

Source : WordNet®

discordant
     adj 1: not in agreement or harmony; "views discordant with
            present-day ideas" [ant: {accordant}]
     2: lacking in harmony [syn: {disharmonious}, {dissonant}, {inharmonic}]