Harmonic analysis of 23 hourly Robin rocket soundings taken at Eglin AFB, Florida, on May 9–10, 1961, revealed statistically significant diurnal and semidiurnal cycles in winds between 35 and 65 km. These cycles doubled in amplitude through the layer. They can be related to the results of other investigations in a manner compatible with some but not all parts of current tidal theory. These cycles create a maximum in wind variability at a lag of 8 to 12 hours and significantly lower variability at 24 hours. The variability at a lag of 12 hours may be as large as that at 48 hours.