Using the "glueball dominance'' picture of the mixing between q (q) over ba
r mesons of different hidden flavors, we establish new glueball-meson mass
relations which serve as a basis for glueball spectral systematics. For the
tensor glueball mass 2.3+/-0.1 GeV used as an input parameter, these relat
ions predict the following glueball masses: M(0(++))similar or equal to 1.6
5+/-0.05 GeV, M(1(--))similar or equal to 3.2+/-0.2 GeV, M(2(-+))similar or
equal to 2.95+/-0.15 GeV, and M(3(--)) similar or equal to 2.8+/-0.15 GeV.
We briefly discuss the failure of such relations for the pseudoscalar sect
or. Our results are consistent with (quasi)linear Regge trajectories for gl
ueballs with a slope similar or equal to 0.3+/-0.1 GeV-2 [S0556-2821(98)102
21-7].