  The Hamiltonian for a PT-symmetric chain of coupled oscillators is
constructed. It is shown that if the loss-gain parameter $\gamma$ is uniform
for all oscillators, then as the number of oscillators increases, the region of
unbroken PT-symmetry disappears entirely. However, if $\gamma$ is localized in
the sense that it decreases for more distant oscillators, then the
unbroken-PT-symmetric region persists even as the number of oscillators
approaches infinity. In the continuum limit the oscillator system is described
by a PT-symmetric pair of wave equations, and a localized loss-gain impurity
leads to a pseudo-bound state. It is also shown that a planar configuration of
coupled oscillators can have multiple disconnected regions of unbroken PT
symmetry.
