Diagnostic systems including a pressure sensor, a determiner in communication with the pressure sensor, wherein the determiner is structured to estimate a sonic speed of a fuel based on identification of a fundamental oscillation frequency are disclosed. Also disclosed are diagnostic methods comprising receiving, by a pressure interpreter, a pressure signal, determining, by a determiner in communication with the pressure interpreter, a fundamental frequency of oscillation of the pressure signal, and determining, by the determiner, a sonic speed of a fuel based on the fundamental frequency of oscillation.