Tiffs paper proves rigorously that the structure factor of the "structure intermediate between quasiperiodic and random" introduced by Aubry, Godreche, and Luck is purely singular continuous apart from a delta function at zero for "most" choices of the parameters. The result is based on a proof that a flow tinder a step function over an irrational circle rotation is weakly mixing for "most" parameters, and on the Wonderland Theorem.