  We compute the heavy-heavy, light-light and light-heavy quarkonium spectrum
starting from a first principle Salpeter equation obtained in a preceding
paper. We neglect spin-orbit structures and exclude from our treatment the
light pseudoscalar states which in principle would require the use of the full
Bethe-Salpeter equation due to the chiral symmetry breaking problem. For the
rest we find an overall good agreement with the experimental data. In
particular for the light-light case we find straight Regge trajectories with
the right slope and intercepts. The strong coupling constant $\alpha_s$, the
string tension $\sigma$ occurring in the potential and the heavy quark masses
are taken from the heavy quarkonium semirelativistic fit with only a small
rearrangement. The light quark masses are set equal to baricentral value of the
current quark masses as reported by the particle data group. For what concerns
the light-light and the light-heavy systems the calculation is essentially
parameter free.
