  Statistical level density $\rho(E,A)$ is derived for nucleonic system with a
given energy $E$, particle number $A$ and other integrals of motion in the
micro-macroscopic approximation beyond the standard saddle-point method of the
Fermi gas model. This level density reaches the two limits; the well-known
Fermi gas grand-canonical ensemble limit for a large entropy $S$ related to
large excitation energies, and the finite micro-canonical limit for a small
combinatorical entropy $S$ at low excitation energies. The inverse level
density parameter $K$ as function of the particle number $A$ in the
semiclassical periodic orbit theory, taking into account the extended
Thomas-Fermi and Strutinsky shell corrections, is calculated and compared with
experimental data.
