The Collaborative International Dictionary of English v.0.48:

Baseness \Base"ness\, n.
   The quality or condition of being base; degradation;
   vileness.
   [1913 Webster]

         I once did hold it a baseness to write fair. --Shak.
   [1913 Webster]

WordNet (r) 3.0 (2006):

baseness
    n 1: unworthiness by virtue of lacking higher values [syn:
         baseness, sordidness, contemptibility,
         despicableness, despicability]