“…This means that low-amplitude highfrequency ULF waves cannot be visually identified without analysis at least on a logarithmic scale. One interesting aspect, however, is the assertion by Morioka et al [2014] that 40-50 s period ULF waves are the signature of a magnetotail instability, which is entirely consistent with the results presented in this chapter. Moreover, we do not limit ourselves to a narrow frequency band; we use instead a broader frequency range that overlaps both the long-period Pi1 and short-period Pi2 bands, since there is no physical distinction between ULF waves of 30 s and 50 s periods, other than the artificial boundary at 40 s initially identified by Jacobs et al [1964] as a matter of practicality.…”