Increments rhymes with:
sacraments, experiment's, experiments, instrument's, instruments, instruments', sacraments, temperaments, argument's, arguments, armaments, complements, condiments, documents, elements, experiment's, experiments, filaments, impediments, implements, instrument's, instruments, instruments', ligaments, monuments, ornaments, parliament's, parliaments, predicaments, regiments, sacraments, sediments, sentiments, supplements, temperaments, tenements, testaments, tournament's, tournaments
Increments sounds like:
immigrant's, immigrants, immigrants'