inconstancy has 4 distinct synonyms spread across 2 of its 2 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is constancy.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
unfaithfulness by virtue of being unreliable or treacherous
the quality of being changeable and variable
Synonyms, antonyms and the broader and narrower relations for inconstancy come from Princeton University’s WordNet. Full sources and licences.