The Collaborative International Dictionary of English v.0.48:

Coarseness \Coarse"ness\ (k[=o]rs"n[e^]s), n.
   The quality or state of being coarse; roughness; inelegance;
   vulgarity; grossness; as, coarseness of food, texture,
   manners, or language. "The coarseness of the sackcloth."
   --Dr. H. More.
   [1913 Webster]

         Pardon the coarseness of the illustration.
                                                  --L'Estrange.
   [1913 Webster]

         A coarseness and vulgarity in all the proceedings.
                                                  --Burke.
   [1913 Webster]

WordNet (r) 3.0 (2006):

coarseness
    n 1: language or humor that is down-to-earth; "the saltiness of
         their language was inappropriate"; "self-parody and
         saltiness riddled their core genre" [syn: saltiness,
         coarseness]
    2: the quality of being composed of relatively large particles
       [syn: coarseness, graininess, granularity]
    3: looseness or roughness in texture (as of cloth) [syn:
       coarseness, nubbiness, tweediness]
    4: the quality of lacking taste and refinement [syn:
       coarseness, commonness, grossness, vulgarity,
       vulgarism, raunch]