  The masses of excited charmed mesons are shown to decrease by $\sim
(50-150)$~MeV due to a flattening of the confining potential at large
distances, which effectively takes into account open decay channels. The scale
of the mass shifts is similar to that in charmonium for $\psi(4660)$ and
  $\chi_{c0}(4700)$. The following masses of the first excitations:
$M(2\,{}^3P_0)=2874$~MeV, $M(2\,{}^3P_2)=2968$~MeV, $M(2\,{}^3D_1)=3175$~MeV,
and $M(2\,{}^3D_3)=3187$~MeV, and second excitations: $M(3\,{}^1S_0)=3008$~MeV,
$M(3\,{}^3S_1)=3062$~MeV, $M(3\,{}^3P_0)=3229$~MeV, and $M(3\,{}^3P_2)
=3264$~MeV, are predicted. The other states with $L=0,1,2$ and $n_r \geq 3$
have their masses in the region $M(nL)\geq 3.3$~GeV.
