coarseness

noun

The quality or state of being obscene: bawdiness, dirtiness, filthiness, foulness, grossness, lewdness, obscenity, profaneness, profanity, scurrility, scurrilousness, smuttiness, vulgarity, vulgarness. Slang raunch, raunchiness. See decent/indecent.

The noun has 3 meanings:

Meaning #1: the quality of being composed of relatively large particles
  Synonyms: graininess, granularity

Meaning #2: looseness or roughness in texture (as of cloth)
  Synonyms: nubbiness, tweediness

Meaning #3: the quality of lacking taste and refinement
  Synonyms: commonness, grossness, vulgarity, vulgarism