  We calculate the spectrum of excitations in strong-coupling lattice QCD in a
background of fixed baryon density, at a substantial fraction of the saturation
density. We employ a next-nearest-neighbor fermion formulation that possesses
the SU(N_f)xSU(N_f) chiral symmetry of the continuum theory. We find two types
of massless excitations: type I Goldstone bosons with linear dispersion
relations and type II Goldstone bosons with quadratic dispersion relations.
Some of the type I bosons originate as type II bosons of the nearest-neighbor
theory. Bosons of either type can develop anisotropic dispersion relations,
depending on the value of N_f and the baryon density.
