Lewis & Short

discordĭōsus, a, um, adj. [discordia], full of discord, prone to discord (very rare; cf. discors and v. Krebs, Antibarb. p. 369): volgus seditiosum atque discordiosum, * Sall. J. 66, 2: domus, Sid. Ep. 6, 2.
Hence, adv.: discordĭōsē, in a spirit of discord, Aug. Bapt. 3, 15, 20.