  The Coulomb gauge Hamiltonian model is used to calculate masses for selected
J^{PC} states consisting of exotic combinations of quarks and gluons: ggg
glueballs (oddballs), q bar{q} g hybrid mesons and q bar{q} q bar{q} tetraquark
systems. An odderon Regge trajectory is computed for the J^{--} glueballs with
intercept much smaller than the pomeron, explaining its nonobservation. The
lowest 1^{-+} hybrid meson mass is found to be just above 2.2 GeV while the
lightest tetraquark state mass with these exotic quantum numbers is predicted
around 1.4 GeV consistent with the observed pi(1400).
