  The difference between the ratio of multiplicities and the ratio of their
derivatives on energy for gluon and quark jets is calculated up to
next-to-next-to leading order of perturbative QCD. Its non-zero value is
uniquely defined by the running property of the QCD coupling constant. It is
shown that this difference is rather small compared to values which can be
obtained from experimental data. This disagreement can be ascribed either to
strong non-perturbative terms or to experimental problems with a scale choice,
jets separation and inadequate assignement of soft particles to jets.
