Using neutron monitor data obtained at high latitudes, it is shown in Part 1 that cosmic‐ray particles of rigidity >1 bv were produced by the solar flare that occurred at 2115 UT on July 16, 1959. The exponent of the integral rigidity spectrum of the radiation was ≤−8.0. The temporal dependence of the flare radiation was unlike that of earlier flare effects, the intensity requiring ∼7 hours to reach its maximum value. No impact zones were observed. In Part 2, meson data obtained at the time of the flare effect starting at 1031 UT on May 4, 1960, are presented. In Part 3, by considering the above‐mentioned flare effects, and those observed previously, it is shown that the time scale of the cosmic‐ray flare effect is a highly variable quantity, varying by a factor as great as 36 from event to event. The flares responsible for the four flare effects with the shortest time scales occurred on the western solar limb; those resulting in the flare effects with the longest time scales occurred near the center of the solar disk. In Part 4 the above facts are shown to support the theoretical model proposed by Piddington.