Present participle of discord: disagreeing, being in conflict, or failing to be in harmony.
From the verb discord with the -ing suffix added, creating the present participle form used for ongoing action or to create gerunds (noun forms of verbs).
The -ing suffix is one of the most productive in English, turning almost any verb into a noun or continuous action—so from 'discord' (disagree) we get 'discording' (the act of disagreeing)!
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