  We discuss the capabilities of spherical antenn\ae as single multifrequency
detectors of gravitational waves. A first order theory allows us to evaluate
the coupled spectrum and the resonators readouts when the first and the second
quadrupole bare sphere frequencies are simultaneously selected for layout
tuning. We stress the existence of non-tuning influences in the second mode
coupling causing draggs in the frequency splittings. These URF effects are
relevant to a correct physical description of resonant spheres, still more if
operating as multifrequency appliances like our PHCA proposal.
