LATIN DICTIONARYLexicon Latīnum
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“discord” in Latin

The English word discord itself goes back to Latin cor, through discordia.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

discord
PROPR. In music, discrepans in fidibus aut tibiis concentus (Vid: Cic., de Rep., 2, 42), or by neuter of dissonus and absonus, or circumlocution; as absonum, dissonum quiddam canere: to perceive no discord in anything, in aliqua re nihil absonum deprehendere: a good ear perceives the slightest discord in instrumental music, in fidibus, quamquam paullum discrepent, tamen id a sciente animadverti solet: to guard against any possible discord, videre, ne forte quid discrepet.
FIG., Want of agreement, symmetry, discrepantia (Vid: Cic., Off., 1, 31, 111).
Disagreement, discordia: dissensio: simultas: dissidium (☞ Not discidium). [Vid: DISAGREEMENT]. To sow the seeds of discord, to sow discord, discordiam concitare; semina discordiarum, or odiorum, jacere (spargere): discordias serere; among citizens, civiles discordias serere; civium dissensiones commovere or accendere: now at last let all discord cease, sit discordiarum finis aliquando.
discord v.
discordare (ab aliqua re; a se; one with another, inter se): dissidere (with ab, cum, inter se or absolutely): dissonare (very rare; not pre-Augustan, Vitr. and Col.): discrepare (seldom PROP., ab, cum; sibi, inter se, or absolutely). “The one jarring and discording with the other.” (Bacon), discordes inter se. Vid: To DISAGREE.

Quick answer

What is the Latin word for discord?
The usual Latin words for “discord” are absonus, discrepō, discordia; also dissēnsiō, simultās, discidium. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.