It has recently been emphasized by Capps, Belinfante, and Cutkosky (CBC) that under certain conditions we may classify the 0- (P) and 1- (V) mesons-in SU(6)-by their total angular momenta rather than their spins. It was noted, however, that this gives rise to an ambiguity in filling the 35-dimensional representation and that, a priori, we may consider a linear combination of the available SU(3) multiplets, the coefficients to be determined by experiment. Here we explore the possibility that the radiative meson decays can help determine some of these coefficients ("assignment mixing" angles). In particular, from an analysis of decays involving the η and X0 mesons we conclude that it is consistent to include the pseudoscalar octet and the pseudoscalar singlet in the same 35. Furthermore, the best over-all fit to the data is obtained for θ1θ8~1, where the cosines represent the respective mixing coefficients for P1 and P8. This value has been used by CBC and is also required by SU(6)W. Our treatment makes use of the vector pole model to separate the couplings into strong and electromagnetic vertices.