  We explore a class of primordial power spectra that can fit the observed
anisotropies in the cosmic microwave background well and that predicts a value
for the Hubble parameter consistent with the local measurement of $H_0 = 74$
km/s/Mpc. This class of primordial power spectrum consists of a continuous
deformation between the best-fit power law primordial power spectrum and the
primordial power spectrum derived from the modified Richardson-Lucy
deconvolution algorithm applied to the $C_\ell$s of best-fit power law
primordial power spectrum. We find that linear interpolation half-way between
the power law and modified Richardson-Lucy power spectra fits the Planck data
better than the best-fit $\Lambda$CDM by $\Delta\log\mathcal{L} = 2.5$. In
effect, this class of deformations of the primordial power spectra offer a new
dimension which is correlated with the Hubble parameter. This correlation
causes the best-fit value for $H_0$ to shift and the uncertainty to expand to
$H_0 = 70.2 \pm 1.2$ km/s/Mpc. When considering the Planck dataset combined
with the Cepheid $H_0$ measurement, the best-fit $H_0$ becomes $H_0 = 71.8 \pm
0.9$ km/s/Mpc. We also compute a Bayes factor of $\log K = 5.7$ in favor of the
deformation model.
