This document is a summary of the lattice calculations of the masses of
hybrid mesosn. While many calculations have been performed, they are
all still limited by systematic uncertainties that could move the
mass of the lightest nonet (the $1^{-+}$) by $~\pm 0.2$ GeV/c$^{2}$.
The mass splittings between the lightest state, and the next two
exotic nonets also have a large deal of uncertaintly, but nominally
the $2^{+-}$ is on the order of $0.2$ GeV/c$^{2}$ heavier than the
$1^{-+}$, while the $0^{+-}$ nonet is predicted to be around
$0.5$ GeV/c$^{2}$ heavier.