  The charged particle multiplicities of two- and three-jet events from the
reaction e$^+$e$^-$,\to $Z$^0 \to hadrons$ are measured for Z$^0$ decays to
light quark (uds) flavors, using the data sample of the OPAL Collaboration at
LEP. Using recent theoretical expressions to account for biases from event
selection, results corresponding to unbiased gluon jets are extracted. The
unbiased gluon jet data are compared to corresponding results for quark jets.
We determine the ratio $r \equiv \ngluon/\nq$ of multiplicities between gluon
and quark jets as a function of energy scale. We also determine the ratio of
slopes, $r^{(1)} \equiv ({\mathrm{d}}\ngluon /{\mathrm{d}}y) /({\mathrm{d}}\nq
/ {\mathrm{d}}y)$, and of curvatures, $r^{(2)} \equiv ({\mathrm{d}}^2\ngluon
/{\mathrm{d}}y^2) /({\mathrm{d}}^2\nq / {\mathrm{d}}y^2)$, where $y$ specifies
the energy scale. At 30 GeV, we find $r = 1.422\pm0.051$, $r^{(1)} =
1.761\pm0.071$ and $r^{(2)} = 1.98\pm0.13$, where the uncertainties are the
statistical and systematic terms added in quadrature. These results are in
general agreement with theoretical predictions.
