A filter resolves a harmonic it is centered on even when bandwidth exceeds spacing
Evidence
In the table, it can be seen that the critical bandwidth is greater than f0 for the filter centered at 770 Hz (the seventh harmonic), but this filter will resolve the seventh harmonic since it is centered over it and its bandwidth extends half above and half below 770 Hz. In order to establish when har monics are not resolved, consider the filters centered midway between adja cent harmonic positions (their center frequencies and critical bandwidths are shown in Table 3.5). — David Howard, Jamie Angus, coustics and Psychoacoustics, 884
Categorization
- XREF: connects to: 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; Harmonics resolve only while their spacing exceeds the ear’s ERB (+4 more)
Broader Connections
- Harmonics are unresolved when critical bandwidth exceeds harmonic spacing.
#contradicts(0.90) — David Howard, Jamie Angus, coustics and Psychoacoustics, 883 - Harmonics cease being resolved when their spacing falls below the ERB
#contradicts(0.90) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1505 - Harmonics resolve only while their spacing exceeds the ear’s ERB
#qualifies(0.85) - Harmonics above the seventh exceed auditory filter bandwidth and cease to be resolved
#expands(0.80) — David Howard, Jamie Angus, coustics and Psychoacoustics, 1528 - Unresolved harmonics smear together as frequency rises
#contradicts(0.80) - Auditory filter bandwidth determines which harmonics of a note get resolved
#qualifies(0.80) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 879 - Partials above the seventh harmonic fall inside filter bandwidths and appear as time-based striations.
#qualifies(0.75)