abstract: The translational dynamics for substitution tilings with finite local complexity can be weakly mixing and can be topologically mixing, but cannot be strongly mixing. In this talk we analyze a simple 1-parameter family of 1-dimensional tiling substitutions with infinitely many tile lengths. We show that for generic parameter values, the tiling flow has pure Lebesgue spectrum and is mixing of all orders. A similar analysis applies to Sadun’s generalized pinwheel tilings in the generic case. Joint work with Natalie Frank.