  We report on the extraction of an excited spectrum of isoscalar mesons using
lattice QCD. Calculations on several lattice volumes are performed with a range
of light quark masses corresponding to pion masses down to about 400 MeV. The
distillation method enables us to evaluate the required disconnected
contributions with high statistical precision for a large number of meson
interpolating fields. We find relatively little mixing between light and
strange in most JPC channels; one notable exception is the pseudoscalar sector
where the approximate SU(3)F octet, singlet structure of the {\eta}, {\eta}' is
reproduced. We extract exotic JPC states, identified as hybrid mesons in which
an excited gluonic field is coupled to a color-octet qqbar pair, along with
non-exotic hybrid mesons embedded in a qqbar-like spectrum.
