  We introduce the Anarchic Axion, a class of axion models which solves the
Strong CP problem within current nEDM constraints with a lighter than usual QCD
axion, thus populating new parameter space that ongoing and future experiments
target. The Anarchic Axion is driven light by a soft breaking of the
Peccei-Quinn symmetry, which also predicts a residual neutron electric dipole
moment. We introduce a novel measure to quantify the tuning required for large
deviations from the usual QCD axion band. In addition to motivating searches
for unusually light axions, this work establishes a new target for axion
effective field theory.
