A meter electronics (20) for a flow meter (5) is provided according to an embodiment of the invention. The meter electronics (20) includes an interface (201) for receiving a vibrational response and a processing system (203). The processing system (203) receives the vibrational response, vibrates at least one flowtube (130) of the vibratory flow meter (5) and generates a first tube period τm1 for a first flow material m1, vibrates the at least one flowtube (130) and generates a second tube period τm2 for a second flow material m2, and determines one or more of a stiffness coefficient C1 or a mass coefficient C2 from the first tube period τm1, a first density ρm1, the second tube period τm2, and a second density ρ2.