  We use the $1/N_c$ expansion of QCD to analyze the spectrum of positive
parity resonances with strangeness $S = 0, -1, -2$ and -3 in the 2--3 GeV mass
region, supposed to belong to the $[\textbf{56},4^+]$ multiplet. We find that
the spin-spin term brings the dominant contribution and that the spin-orbit
term is entirely negligible in the hyperfine interaction, in agreement with
constituent quark model results. More data are strongly desirable, especially
in the strange sector in order to fully exploit the power of this approach.
