After Q oscillations the amplitude falls to 4% and energy to 0.19% of original

Evidence

Toole and Olive (1988) concluded that at frequencies above 200 Hz the threshold of detection of resonances decreased about 3 dB for each doubling of the Q value. This means that the higher the Q, and therefore the longer the ringing, the less detectable the resonance. This is not an indication that ringing per se is not a problem, rather it most likely relates to the probability of a narrow band resonance being energized by typical music. Consequently, at these frequencies the duration of ringing is not a reliable indicator of audibility-see Section 5. — Toole, Floyd E, Sound reproduction- the acoustics and…, 1645 (#expands, via linked claim)

Categorization

  • XREF: connects to: The quality factor Q counts oscillations before stored energy is nearly drained; Higher-Q resonances become less audible because music rarely energizes them — Toole, Floyd E, Sound reproduction- the acoustics and…, 1645; Damped oscillation energy is conserved, becoming atomic heat

Broader Connections