  The masses of positive $[{\bf 70},0^+]$ and $[{\bf 70},2^+]$ nonstrange and
strange baryons are calculated in the $1/N_c$ expansion. The approach is based
on the separation of a system of $N_c$ quarks into an excited core and an
excited quark. The previous work for two flavor baryons is now extended to
include strange baryons, to first order in SU(3)-flavor breaking. We show that
the extension to $N_f = 3$ maintains the regularities previously observed in
the behaviour of the linear term in $N_c$, of the spin-spin and of the
spin-orbit terms. In particular the contribution of the spin-dependent terms
decrease with the excitation energy, the dominant term remaining the spin-spin
term.
