Disagreeing or incongruous. The discordant opinions of the committee members made it difficult to reach a consensus.
Harsh and jarring because of a lack of harmony. The discordant notes of the out-of-tune piano filled the room.
Cross-cutting or not conforming to the bedding, structure, or general orientation of surrounding geological features; not conformable. A discordant igneous dyke sliced through the sedimentary strata.