  Quantum area tensor Regge calculus is considered, some properties are
discussed. The path integral quantisation is defined for the usual length-based
Regge calculus considered as a particular case (a kind of a state) of the area
tensor Regge calculus. Under natural physical assumptions the quantisation of
interest is practically unique up to an additional one-parametric local factor
of the type of a power of $\det\|g_{\lambda\mu}\|$ in the measure. In
particular, this factor can be adjusted so that in the continuum limit we would
have any of the measures usually discussed in the continuum quantum gravity,
namely, Misner, DeWitt or Leutwyler measure. It is the latter two cases when
the discrete measure turns out to be well-defined at small lengths and lead to
finite expectation values of the lengths.
