A lack of agreement or harmony; discord or disagreement between things.
From dis- (not) + consonancy (agreement, from Latin consonare: to sound together). The -ancy/-ency suffix creates an abstract noun. Originally used in music for clashing sounds, it evolved to describe any kind of disagreement.
The word 'consonant' (matching sounds) and 'consonancy' both come from the idea of sounds fitting together harmoniously—so 'disconsonancy' is when things clash, whether it's musical notes or ideas in an argument!
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