Synonyms for Discord (same or very similar meaning)
WordNet sense 1 (lack of agreement or harmony):
strife
WordNet sense 2 (disagreement among those expected to cooperate):
dissension
WordNet sense 3 (a harsh mixture of sounds):
discordance
WordNet sense 4 (be different from one another):
disagree, disaccord
From the ODE community, based on WordNet
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