  We propose a new class of natural inflation models based on a hidden scale
invariance. In a very generic Wilsonian effective field theory with an
arbitrary number of scalar fields, which exhibits scale invariance via the
dilaton, the potential necessarily contains a flat direction in the classical
limit. This flat direction is lifted by small quantum corrections and inflation
is realised without need for an unnatural fine-tuning. In the conformal limit,
the effective potential becomes linear in the inflaton field, yielding to
specific predictions for the spectral index and the tensor-to-scalar ratio,
being respectively: $n_s-1\approx -0.025\left(\frac{N_{\star}}{60}\right)^{-1}$
and $r\approx 0.0667\left(\frac{N_{\star}}{60}\right)^{-1}$, where
$N_{\star}\approx 30-65$ is a number of efolds during observable inflation.
This predictions are in reasonable agreement with cosmological measurements.
Further improvement of the accuracy of these measurements may turn out to be
critical in falsifying our scenario.
