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oddness (n.)

late 14c., oddenesse, "unevenness of number," from odd + -ness. Meaning "strangeness, queerness, divergence from what is ordinary or useful" is from 1610s.

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Definitions of oddness from WordNet

oddness (n.)
the parity of odd numbers (not divisible by two);
oddness (n.)
eccentricity that is not easily explained;
Synonyms: oddity
From wordnet.princeton.edu