The masses of excited charmed mesons are shown to decrease by similar to(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(3)P(0)) = 2874 MeV, M(2(3)P(2)) = 2968 MeV, M(2(3)D(1)) = 3175 MeV, and M(2(3)D(3)) = 3187 MeV, and second excitations: M(3(1)S(0)) = 3008 MeV, M(3(3)S(1)) = 3062 MeV, M(3(3)P(0)) = 3229 MeV, and M(3(3)P(2)) = 3264 MeV, are predicted. The other states with L = 0, 1, 2 and n(r) >= 3 have their masses in the region M(nL) >= 3.3 GeV.
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