Previous analyses of the time distribution of reversals of the Earth's magnetic field have yielded mixed results. Some authors have claimed significant periodicities of order 10(7) yr whereas others have reported failure to reject null hypothesis of random spacing at that scale. Because of repeated suggestions that field reversal is linked to biological extinction, further analysis of the magnetic times series is appropriate. I present here the results of a study of the reversal record of the past 165 Myr. A stationary periodicity of 30 Myr emerges (superimposed on the non-stationarities already established by others), which predicts pulses of increased reversal activity centered at 10, 40, 70, ... Myr BP.