  Applying the transformation of fermion operators to new fermion
quasiparticles introduced by Halperin, Lee, and Read we estimate a scaling
behavior of the ground state energy and quasiparticle gaps as a function of
filling fraction for a "principal sequence" of FQHE $\nu={N\over{2N\pm 1}}$
states converging towards the gapless state at half filling. The exponent
describing the shape of the cusp $\delta E(\nu)\sim |\delta\nu|^{\eta}$ is
found to be greater than one and to depend nontrivially on the interaction
potential. The dependence of quasiparticle gaps agrees with the results of
recent measurements by R.R.Du et al.
