For singular operators of the form (H_{\alpha,\theta}u)_n=u_{n+1}+u_{n-1}+
\frac{g(\theta+n\alpha)}{f(\theta+n\alpha)} u_n, we prove such operators
have purely singular continuous spectrum on the set
{E: \delta{(\alpha,\theta)}>L(E)\}, where f and g are both analytic functions
on T.