In low-frequency seismic spectra the Coriolis force theoretically causes-degenerate coupling of spheroidal and toroidal modes whose spherical harmonic degrees differ by unity and whose frequencies are close. It has been found that the coupling causes clearly observable effects on seismic spectra below 3.0 mHz. Many fundamental toroidal modes have a spheroidal component and vice versa. For example, the 0Sl modes for l=8-22 are significantly coupled to the 0Tl modes for l=9-23. The mean frequencies of pairs of coupled multiplets are repelled, and the mean attenuations are averaged. The shifting of complex frequencies must be adequately encompassed in the construction of spherically averaged and aspherical models of the density and elastic and anelastic structure of the earth. The coupling also causes variations in multiplet amplitudes which result in spectral peaks at toroidal mode frequencies on vertical and radial components and at spheroidal mode frequenceis on transverse components. The variations must be taken into account to constructing Green's functions for the study of low-frequency source mechanisms.