More than twenty years ago, the author (Gutenberg, 1926) pointed out that the longitudinal waves of shallow earthquakes decrease considerably in amplitude at epicentral distances between a few (say 2) degrees and about 15 degrees. At greater distances the amplitudes become again rather large, at 16° epicentral distance about as large as at 2°. With further increase in epicentral distance the amplitudes decrease slowly, The whole phenomenon was interpreted as due to a decrease in wave velocity at a depth between 70 and 80 km. Further investigations (Gutenberg and Richter, 1931; 1935, pp. 335-343; 1939a; Gutenberg, 1945a; 1945c, pp. 126-127) indicate that the decrease in velocity must be rather small, that the shadow zone is less sig...