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The Collaborative International Dictionary
Incongruence

Incongruence \In*con"gru*ence\, n. [L. incongruentia.] Lack of congruence; incongruity.
--Boyle.

Douglas Harper's Etymology Dictionary
incongruence

c.1600, from Late Latin incongruentia "incongruity," from incongruentem (nominative incongruens) "incongruous, inconsistent," from in- "not" (see in- (1)) + congruens (see congruent).

Wiktionary
incongruence

n. 1 a want of congruence; incongruity. 2 out of place, absurd

Usage examples of "incongruence".

The incongruence of a Dragon having such feelings for a human was not lost on him, merely ignored.

None of it seemed to fit together, but the incongruence, while jarring, was like a wonderful puzzle for my brain, picking apart the scents and trying to identify each.