  Data on pbar-p -> 3eta for beam momenta 600--1940 MeV/c are presented. The
strongest channel is f_0(1500)-eta from the initial pbar-p state 1S0. Together
with eta-pizero-pizero data, the 3eta data determine the branching ratio
BR[f_0(1500) -> eta-eta]/BR[f_0(1500) -> pizero-pizero] = 0.42+-0.09. They are
consistent with a dominant contribution from an I=0, C=+1 J^{PC} = 0^{-+}
resonance observed earlier in the eta-pizero-pizero data; from the combined
eta-pizero-pizero and 3eta data, its mass is M = 2320 \pm 15 MeV and its width
Gamma = 230+-35 MeV.
