The Collaborative International Dictionary of English v.0.48:

Profaneness \Pro*fane"ness\, n.
   The quality or state of being profane; especially, the use of
   profane language.
   [1913 Webster]

WordNet (r) 3.0 (2006):

profaneness
    n 1: an attitude of irreverence or contempt for a divinity
    2: unholiness by virtue of being profane [syn: profaneness,
       unsanctification]

Bouvier's Law Dictionary, Revised 6th Ed (1856):

PROFANENESS or PROFANITY, crim. law. A disrespect to the name of God, or his
divine providence. This is variously punished by statute in the several
states.