Larger rooms exhibit lower critical frequencies because volume scales with size
Evidence
This equation shows that the critical frequency is inversely proportional to the square root of the room volume and is proportional to the square root of the reverberation time, which is also proportional to the cube root of the volume, if the absorption remains constant, as discussed earlier. The net result of this is that, as expected, the critical frequencies for larger rooms are generally lower than those of smaller ones. Thus big rooms are acoustically “large” as well. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2037
This equation shows that the critical frequency is inversely proportional to the square root of the room volume and is proportional to the square root of the reverberation time, which is also proportional to the cube root of the volume, if the absorption remains constant, as discussed earlier. The net result of this is that, as expected, the critical frequencies for larger rooms are generally lower than those of smaller ones. Thus big rooms are acoustically “large” as well. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2037
Categorization
- DEFINE: Clarifies the critical frequency concept: how it scales with room volume and reverberation time.
- XREF: Connects to earlier chapters’ treatment of reverberation time and volume-absorption relationships as musical acoustics scaled to buildings. — connects to: At high frequencies rooms act as irregular interference fields rather than standing-wave patterns; A room’s critical frequency depends on absorption and mode bandwidth, not just room dimensions; Room size in acoustics is defined by critical frequency relative to generated sound — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2027 (+1 more)
- corroborated: 4 independent passages support this claim — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2037
Broader Connections
- A room’s critical frequency depends on absorption and mode bandwidth, not just room dimensions
#qualifies(0.85) - Room size in acoustics is defined by critical frequency relative to generated sound
#complicates(0.80) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 2027 - Every room has a low-frequency limit below which modal effects dominate
#expands(0.80)