Harmonics stop resolving once filter bandwidths exceed the fundamental’s spacing.

Evidence

In the spectrogram of the fourth sound, in which all harmonics are present up to the twentieth, the lowest six or seven harmonics appear as horizontal bands of energy and are therefore resolved, but the energy in the frequency region above the seventh harmonic is plotted as vertical lines, known as “striations,” which occur once per cycle (recall the discussion about the temporal theory of pitch perception). This is because all filters with center frequencies above the seventh harmonic have bandwidths that are greater than the f0 of the sound, and therefore at least two adjacent harmonics are captured by each of these filters. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1504

Categorization

• DEFINE: Defines ‘striations’ — vertical energy lines on a spectrogram that recur once per cycle — and ties them back to the temporal theory of pitch.
• XREF: Connects directly to the chapter’s earlier discussion of the temporal (as opposed to place) theory of pitch perception. — connects to: A filter resolves a harmonic it is centered on even when bandwidth exceeds spacing — David Howard, Jamie Angus, coustics and Psychoacoustics, 884; Harmonics are unresolved when critical bandwidth exceeds harmonic spacing. — David Howard, Jamie Angus, coustics and Psychoacoustics, 883; Harmonics cease being resolved when their spacing falls below the ERB — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1505 (+5 more)

Broader Connections

• A filter resolves a harmonic it is centered on even when bandwidth exceeds spacing #complicates (0.95) — David Howard, Jamie Angus, coustics and Psychoacoustics, 884
• Harmonics cease being resolved when their spacing falls below the ERB #corroborates (0.95) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1505
• Harmonics resolve only while their spacing exceeds the ear’s ERB #corroborates (0.95)
• Harmonics are unresolved when critical bandwidth exceeds harmonic spacing. #corroborates (0.90) — David Howard, Jamie Angus, coustics and Psychoacoustics, 883
• Harmonic spacing theories also fail once harmonics are non-adjacent #complicates (0.90)
• Narrow-band filters smear signal onset despite resolving harmonics #complicates (0.85)
• Unresolved harmonics smear together as frequency rises #qualifies (0.80)
• Critical bandwidth widening means only low harmonics are resolved individually #contradicts (0.80) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1473