1. Antonyms for Conventionality include unConventionality, eccentricity, strangeness, oddness, nonconformity, unusualness, quirkiness, irregularity, abnormality and

2. Antonyms for Commonness include infrequence, infrequency, rareness, unCommonness, unusualness, exception, paucity, rarity, scarceness and irregularity