How room modes work, in three minutes
The three mode types
Axial (strongest, 0 dB relative): one dimension. The first axial mode in a 5 m room is at 343 / (2 x 5) = 34.3 Hz. Most audible, hardest to treat.
Tangential (-3 dB): two dimensions at once. Less energy than axial but still audible.
Oblique (-6 dB): all three dimensions. At higher frequencies these merge into smooth reverb.
The bass-response chart above shows the type of every mode as colour; the spike height is the relative contribution.
Schroeder, treatment, placement
Above the Schroeder frequency, modes are dense enough that the response is statistically smooth. Below it, individual modes dominate and must be addressed.
Three treatments, in order of effort: move the listener off the node/antinode hot-spots the pressure map shows; move the speakers away from walls (corners excite every axial mode at once); add bass traps in the corners (where every axial mode's antinode coincides).
The room-quality score above combines ratio quality, mode spacing, and mode density into one 0-100 number, a quick proxy for how friendly the room is to bass before any treatment.