We have studied the VH, HH, and VV quasielastic light scattering spectra of the near-symmetric top triphenylphosphite at several scattering angles and over a wide range of temperatures, such that (k 2η/ρmΓ) varied from 0.085 to 3600, where k is the scattering vector, η the shear viscosity, ρm the mass density, and Γ the ’’reorientation’’ frequency. The data have been analyzed in a consistent manner in terms of a generalized hydrodynamic theory in which, in addition to the observed dielectric fluctuations (ε̂) and the conserved hydrodynamic collective variables (n̂,p̂ê,), unspecified ’’slow’’ variables (F̂s, F̂t) are included, where, at k→0, F̂s is a symmetric and F̂a an antisymmetric second rank tensor. Since the theory interrelates the relaxation processes, giving rise to the scattering at different polarizations, the spectra provide enough information to evaluate the considerable number of adjustable temperature-dependent, but ω- and k-independent, transport coefficients involved in the analysis. Of particular interest is our conclusion that three-variable theories |ε̂xz, p̂z, F̂xz|, where F̂xz=F̂xzs, F̂xza or F̂xzs+F̂xza, are incapable of explaining the angular dependence of the VH spectra or of providing parameters which can also fit the central features of the HH spectra. In the successful application of the four-variable |ε̂xz, p̂z, , F̂xza| theory to VH scattering (and correspondingly more complex theories to HH and VV scattering), we focused attention on the transport coefficient C, where (Ck2η/ρm) is the autodecay frequency of the curl of the flow momentum. At high temperatures, in the hydrodynamic regime, we found C≈0, which enabled us to identify F̂xzs and F̂xza with the symmetric (σ̂xzs) and antisymmetric (σ̂xzss) components, respectively, of the stress tensor, i.e., with the flux of a conserved quantity. However, in the viscoelastic regime we found C≠0, small, and varying as η−1; in this case we were, therefore, not able to identify F̂xzs and F̂xza. A still more general theory, in which F̂xza was not necessarily an antisymmetric tensor, would introduce more adjustable parameters than required by our data. Our analysis made use of the independently determined values of η and, in accord with theoretical considerations, yielded values of the translational–rotational coupling parameter R with a relatively constant value 0.4<R<0.5 over the entire, very wide viscosity range.