Invariance rhymes with:
variance, variance, experience, inexperience, variance, ambiance, ambience, audience, dalliance, deviance, disobedience, expedience, experience, inexperience, insouciance, obedience, prescience, provenience, radiance, resilience, subservience, transience, variance
Invariance sounds like:
impairing, imprimis, inference, inferences, inferring, informing, informix, informs, infringe, infringes, inverness