  The masses of highly excited negative parity baryons belonging to the $N$ = 3
band are calculated in the $1/N_c$ expansion method of QCD. We use a procedure
which allows to write the mass formula by using a small number of linearly
independent operators. The numerical fit of the dynamical coefficients in the
mass formula show that the pure spin and pure flavor terms are dominant in the
expansion, like for the $N$ = 1 band. We present the trend of some important
dynamical coefficients as a function of the band number $N$ or alternatively of
the excitation energy.
