discordance

A state of being discordant; disagreement, inconsistency.

There will arise a thousand discordances of opinion.

To talk nonsense, or poetry, or the dash between the two, in a tone of profound sincerity, and to enunciate solemn discordances with received opinion so seriously as to convey the impression of a spiritual insight, is the peculiar gift by which monomaniacs, having first persuaded themselves, contrive to influence their neighbours, and through them to make conquest of a good half of the world, for good or for ill.

Discordance of sounds; dissonance.

The presence of a specific genetic trait in only one of a set of clones (or identical twins).