  We present highly excited spectra of charm-light and charm-strange mesons
from dynamical lattice QCD. Our calculations are performed on anisotropic
$N_{f} = 2+1$ dynamical ensembles generated by the Hadron Spectrum
Collaboration. The use of novel techniques and a large basis of interpolating
operators have allowed us to extract these spectra to a high degree of
statistical precision, extract states of high spin and observe candidate hybrid
mesons. We interpret and discuss our results in light of the current
experimental situation.
