  We present novel calculations of the mass hierarchy of the $SU(2)$ pure gauge
theory on a space-time lattice with an orbifolded fifth dimension. This theory
has three parameters; the gauge coupling $\beta$, the anisotropy $\gamma$,
which is a measure of the ratio of the lattice spacing in the four dimensions
to that in the fifth dimension, and the extent of the extra dimension $N_{5}$.
Using a large basis of scalar and vector operators we explore in detail the
spectrum along the $\gamma = 1$ line, and for the first time we investigate the
spectrum for $\gamma \neq 1$.
