The Collaborative International Dictionary of English v.0.48:

Inelegance \In*el"e*gance\, Inelegancy \In*el"e*gan*cy\, n.; pl.
   Inelegances, Inelegancies. [L. inelegantia: cf. F.
   in['e]l['e]gance.]
   [1913 Webster]
   1. The quality of being inelegant; lack of elegance or grace;
      lack of refinement, beauty, or polish in language,
      composition, or manners.
      [1913 Webster]

            The notorious inelegance of her figure. --T. Hook.
      [1913 Webster]

   2. Anything inelegant; as, inelegance of style in literary
      composition.
      [1913 Webster]

WordNet (r) 3.0 (2006):

inelegance
    n 1: the quality of lacking refinement and good taste [ant:
         elegance]