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
Related
- Higher-Q resonances become less audible because music rarely energizes them (similarity 0.93)
- High-Q resonances are rarely heard but catastrophically audible when music hits their exact frequency (similarity 0.91)
- Resonance Q reductions below about 16 are subjectively imperceptible (similarity 0.90)
- Broad, low-Q resonances are the most audible transducer defects (similarity 0.88)
- High-Q resonances are rarely heard but intensely annoying when triggered. (similarity 0.87)
- Resonance detection thresholds rise with higher Q and lower frequency (similarity 0.87)
- Lower Q spreads resonances wider in frequency but shortens time-domain ringing (similarity 0.87)
- Adding damping to a resonance paradoxically makes it more audible by widening its bandwidth (similarity 0.86)
- Lower-Q resonances are more audible than high-Q ones despite seeming better-damped (similarity 0.86)
- Low-Q resonance detection thresholds are remarkably low, making tonal changes easily audible. (similarity 0.86)
- Reverberation masks high-Q ringing but amplifies low-Q resonances (similarity 0.86)
- Well-damped low-Q resonances are easier to hear than high-Q ones. (similarity 0.85)
- Low-Q subwoofer resonances are audible mainly as spectral balance shifts (similarity 0.84)
- Resonance Q factors below about 16 are subjectively imperceptible to listeners. (similarity 0.84)
- Reflections increase sensitivity to low and mid-Q resonances in reproduced sound (similarity 0.83)
Broader Connections
- Higher-Q resonances become less audible because music rarely energizes them
#expands(0.80) — Toole, Floyd E, Sound reproduction- the acoustics and…, 1645 - Damped oscillation energy is conserved, becoming atomic heat
#contradicts(0.75)