Axial mode frequencies are computable from room dimensions by a simple formula

Evidence

This brief analysis is a good example of just how predictable modal events are in a known rectangular room when the woofer and microphone locations are well defined. This underlines the huge advantage of rectangular rooms—the low-frequency sound fields can be substantially predicted in advance and measurements interpreted after the fact. Knowing which modes cause problems allow solutions to be focused. Obviously, only high-resolution measurements allow for this depth of analysis. — Toole, Floyd E, Sound reproduction- the acoustics and…, 1635 (#corroborates, via linked claim)

Categorization

• XREF: connects to: Room modes are determined by the linear dimensions of opposing surfaces; Spatially proportional room dimensions create coincident resonant modes; A room’s critical frequency depends on absorption and mode bandwidth, not just room dimensions (+10 more)

Broader Connections

• Room modes are determined by the linear dimensions of opposing surfaces #expands (0.85)
• Rectangular rooms allow predicting low-frequency modal behavior in advance #corroborates (0.80) — Toole, Floyd E, Sound reproduction- the acoustics and…, 1635
• A room’s critical frequency depends on absorption and mode bandwidth, not just room dimensions #qualifies (0.75)
• Room modal frequencies depend on the number of opposing surfaces #contradicts (0.75)
• Steady-state frequency response is the reliable indicator of audible room resonances #complicates (0.75) — Toole, Floyd E, Sound reproduction- the acoustics and…, 956
• Hard-walled rooms behave as three-dimensional resonators with many audible modal frequencies #corroborates (0.75) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 291
• Spatially proportional room dimensions create coincident resonant modes #qualifies (0.72)
• A transition frequency separates modal from ray acoustical behavior in rooms #expands (0.72) — Toole, Floyd E, Sound reproduction- the acoustics and…, 475
• Avoiding commensurate room dimensions prevents overlapping modal frequencies that cause acoustic problems #responds-to (0.72)
• Room response at a listener can be predicted from geometric reflection analysis #complicates (0.72)
• Geometric acoustics fails on diffraction at low frequencies in complex rooms #complicates (0.72) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 303