"Proposal for a notation at tricritical points": A comment

We re-examine the scaling relations found by Griffiths for the so-called subsidiary tricritical exponents. We find that some of these relations depend on whether the line $M=M_t$ lies in the tricritical, the critical, or the intermediate region in the space of thermodynamic variables, as well as on the regular parts of some thermodynamic functions. We also extend these laws to the case where scaling holds only in a curvilinear coordinate system based on the critical line.