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We discuss the usefulness and theoretical consistency of different entropyvariables used in the literature to describe isocurvature perturbations inmultifield inflationary models with a generic curved field space. We clarifywhich is the proper entropy variable to be used to match the evolution ofisocurvature modes during inflation to the one after the reheating epoch inorder to compare with observational constraints. In particular, we find thatcommonly used variables, as the relative entropy perturbation or the oneassociated to the decomposition in tangent and normal perturbations withrespect to the inflationary trajectory, even if more useful to performnumerical studies, can lead to results which are wrong by several orders ofmagnitude, or even to apparent destabilisation effects which are unphysical forcases with light kinetically coupled spectator fields.

On the choice of entropy variables in multifield inflation