  We present a new mechanism to solve the strong CP problem using $N\geq2$
axions, each dynamically relaxing part of the $\bar\theta$ parameter. At high
energies $M\gg\Lambda_{QCD}$ the $SU(3)_{c}$ group becomes the diagonal
subgroup of an $SU(3)^{N}$ gauge group, and the non-perturbative effects in
each individual $SU(3)$ factor generate a potential for the corresponding
axion. The vacuum is naturally aligned to ensure $\bar\theta=0$ at low
energies, and the masses of these axions can be much larger than for the
standard QCD axion. This mechanism avoids the introduction of a discrete $Z_2$
symmetry and associated 'mirror' copies of the SM fermions, and also avoids the
introduction and stabilization of new light colored states to modify the
running of the QCD gauge coupling found in other heavy axion models. This
strengthens the motivation for axion-like particles solving the strong CP
problem at points beyond the standard QCD axion curve in the $(m_a, f_a)$
plane.
