The significance of tilt anisoplanatism is established, and a measurement theory, based on aperture-averaging intensity scintillation, is developed. The theory is a direct extention of the technique currently used to determine the isoplanatic angle as defined by Fried [J. Opt. Soc. am. 72, 52 (1982)]. By using this theory, a physically realizable binary aperture-weighting function is derived fo...