  We analyze $SO(N)$ and $SU(N)$ gauge theories with scalars in adjoint and
fundamental representations, coupled to renormalisable, classically scale
invariant gravity. In the specific case of $SO(12),$ we show that the quantum
field theory can be can be asymptotically free in all couplings (hence
ultra-violet complete). For a region of parameter space, Dimensional
Transmutation occurs, with the adjoint vacuum expectation value breaking
$SO(12) \to SU(6)\otimes U(1)$ and producing a Low Energy Effective Theory
having Einstein-Hilbert gravity. We verify that certain minima are locally
stable and lie within the catchment basin of the ultraviolet fixed points.
