Results are reported for N* masses in the 1/2+ and 1/2- sectors on an aniso
tropic lattice. The gauge action is the usual plaquette plus rectangle type
, the quark action is of the D234 type, both having tadpole-improved tree-l
evel coefficients. Clear splittings from the nucleon ground state are obser
ved with smeared operators and 500 configurations. The first excited states
in each channel are further isolated, using a correlation matrix and the v
ariational method. The basic pattern of these splittings is consistent with
experimental observations.