1. in a way that is harsh, inharmonious, or clashing in sound
2. in a way that is disagreeable, conflicting, or at odds

Examples

• The two instruments played discordantly, creating an unpleasant noise.
• His cheerful tone clashed discordantly with the somber mood of the room.
• The colors in the painting were arranged discordantly, making the composition feel unsettling.
• Their opinions on the matter stood discordantly opposed to one another.
• The music sounded discordantly off-key throughout the performance.