An analytic solution for the n vector textures in superfluid 3He-B in a rotating cylinder is obtained at high magnetic fields. The azimuthal angle alpha of n is found to change from 60 degrees at the wall to 38 degrees in the bulk liquid. The calculated spin wave spectrum in the stationary case is in good agreement with the Helsinki NMR experiments. In the rotating case a comparison with experiments allows the authors to estimate the orientating effect of vortex cores on the n texture. The vortex radius is expected to be of the order of 10 xi in order for the observed effects of rotation on the NMR spectrum to be explicable.