Ground state energy and quasiparticle gaps in $\nu={N\over{2N\pm 1}}$   FQHE states
  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. 
D.V.Khveshchenko