An SU(6)W-symmetric dynamical model, used previously to predict quantum numbers and branching ratios of even-parity meson resonances, is extended to odd-parity baryon resonances. It is assumed that meson exchange forces of the tensor type dominate. The relative sizes of the tensor forces in all meson-baryon states are given by the assumed SU(6)W symmetry. The matrix elements of the tensor forces corresponding to the lowest orbital angular momentum in odd-parity states are S-D-wave transition elements. Those S-D states in which the largest forces exist are assumed to resonate. SU(3) singlet states of j=12 and 32 are predicted; these may be identified with the 1405- and 1520-MeV Y0* particles. The predicted octet resonances correspond to the two distinct fd ratios 1 and -13. The predicted results are compared with experimental data on the branching ratios of the 1660- and 1765-MeV Y1* particles, and with the recent measurements of the relative phases of different K̄N-->πΛ resonant amplitudes by Smart, Kernan, Kalmus, and Ely. Some experiments are suggested that would test the model further.