Source : Webster's Revised Unabridged Dictionary (1913)

Incongruity \In`con*gru"i*ty\, n.; pl. {Incongruities}. [Pref.
   in- not + congruity: cf. F. incongruit['e].]
   1. The quality or state of being incongruous; want of
      congruity; unsuitableness; inconsistency; impropriety.

            The fathers make use of this acknowledgment of the
            incongruity of images to the Deity, from thence to
            prove the incongruity of the worship of them. --Bp.
                                                  Stillingfleet.

   2. Disagreement of parts; want of symmetry or of harmony.
      [Obs.]

   3. That which is incongruous; want of congruity.

Source : WordNet®

incongruity
     n : the quality of disagreeing; being unsuitable and
         inappropriate [syn: {incongruousness}] [ant: {congruity},
          {congruity}]