Contrariety n.; pl. Contrarieties.
Etymology: [L. contrarietas: cf. F. contrariété.]
1. The state or quality of being contrary; opposition; repugnance; disagreement; antagonism. There is a contrariety between those things that conscience inclines to, and those that entertain the senses. South.
2. Something which is contrary to, or inconsistent with, something else; an inconsistency. How can these contrarieties agree Shak.
Syn. -- Inconsistency; discrepancy; repugnance.
Shades of meaning
Fernald has no entry of its own for contrariety; he lists it under difference.
He lists it without comment; the entries above explain its neighbors.