discordancy

from The Collaborative International Dictionary of English v.0.48

Discordance \Dis*cord"ance\, Discordancy \Dis*cord"an*cy\, n.
   [Cf. F. discordance.]
   State or quality of being discordant; disagreement;
   inconsistency.
   [1913 Webster]

         There will arise a thousand discordances of opinion.
                                                  --I. Taylor.
   [1913 Webster]