  We use lattice methods to evaluate from first principles the spectrum of
hybrid mesons produced by gluonic excitations in quenched QCD with quark masses
near the strange quark mass. For the spin-exotic mesons with $J^{PC}=1^{-+},\
0^{+-}$, and $2^{+-}$ which are not present in the quark model, we determine
the lightest state to be $1^{-+}$ with mass of 2.0(2) GeV.
