Source : Webster's Revised Unabridged Dictionary (1913)

Contemptibility \Con*tempt`i*bil"i*ty\, n.
   The quality of being contemptible; contemptibleness. --Speed.

Source : WordNet®

contemptibility
     n : unworthiness by virtue of lacking higher values [syn: {baseness},
          {despicableness}, {despicability}]