Doppler effect, as currently formulated. uses numerical phase invariance and any linear coordinate transformations with identity transformations of nonzero spatial coordinates transverse to a rectilinear uniform relative motion; this is shown to subtly deny presumed motion, angular aberration effects, and Doppler effect. A critical review of past Doppler effect experiments confirms (10−3 to 10−7) a classical Doppler effect formulation that does not involve an ether concept, numerical phase invariance, or the use of any coordinate transformations.