The Collaborative International Dictionary of English v.0.48:

Oddness \Odd"ness\, n.
   1. The state of being odd, or not even.
      [1913 Webster]

            Take but one from three, and you not only destroy
            the oddness, but also the essence of that number.
                                                  --Fotherby.
      [1913 Webster]

   2. Singularity; strangeness; eccentricity; irregularity;
      uncouthness; as, the oddness of dress or shape; the
      oddness of an event. --Young.
      [1913 Webster]

WordNet (r) 3.0 (2006):

oddness
    n 1: the parity of odd numbers (not divisible by two)
    2: eccentricity that is not easily explained [syn: oddity,
       oddness]