  Accurate \textit{ab initio} calculations on the rotation-vibration spectrum
of methyl fluoride (\ce{CH3F}) are reported. A new nine-dimensional potential
energy surface (PES) and dipole moment surface (DMS) have been generated using
high-level electronic structure methods. Notably, the PES was constructed from
explicitly correlated coupled cluster calculations with extrapolation to the
complete basis set limit and considered additional energy corrections to
account for core-valence electron correlation, higher-order coupled cluster
terms beyond perturbative triples, scalar relativistic effects, and the
diagonal Born-Oppenheimer correction. The PES and DMS are evaluated through
robust variational nuclear motion computations of pure rotational and
vibrational energy levels, the equilibrium geometry of \ce{CH3F}, vibrational
transition moments, absolute line intensities of the $\nu_6$ band, and the
rotation-vibration spectrum up to $J=40$. The computed results show excellent
agreement with a range of experimental sources, in particular the six
fundamentals are reproduced with a root-mean-square error of 0.69~cm$^{-1}$.
This work represents the most accurate theoretical treatment of the
rovibrational spectrum of \ce{CH3F} to date.
