2. Wave Interaction & Interference · Concept 6 of 10
Room Modes
The specific low notes a room naturally boosts because of its size and shape.
A bass note bounces wall-to-wall: it piles up loud at the walls (MAX) and cancels to nothing at the centre (NULL), and its pitch is set by f = 343 / (2 x L).
What it is
The specific bass pitches a room makes louder (or kills) because sound waves bounce between walls and pile up at distances that match their wavelength.
Key facts
Speed of sound in air = 343 m/s at 20 degrees C (rises ~0.6 m/s per degree C)
Axial mode formula: f = 343 / (2 x L), where f = mode frequency in Hz, L = wall-to-wall distance in metres
Wavelength: lambda = 343 / f. A 50 Hz wave is 6.86 m long
Each dimension makes its own series: f, 2f, 3f, 4f... (harmonics of the fundamental)
3 mode types: AXIAL (2 walls, strongest), TANGENTIAL (4 walls, ~3 dB weaker), OBLIQUE (6 walls, ~6 dB weaker)
A peak can be +6 to +20 dB; a null (cancellation) can be -20 dB or worse
Doubling distance from a point source = -6 dB (inverse square law); -3 dB = half the power
Modes only matter below the Schroeder frequency: f = 2000 x sqrt(RT60 / V), V = room volume m3, RT60 = reverb time s (often 100-300 Hz indoors)
Smaller room = higher, more widely-spaced modes = bigger gaps and worse boom; a perfect cube is worst (all 3 dims stack)
Pressure is MAXIMUM at walls/corners for every mode (why bass booms in corners); a null sits at the dimension midpoint
How it works
Sound leaves the speaker and bounces off a wall straight back.
If the round-trip distance equals a whole number of wavelengths, the reflection lands in-step with the new wave.
In-step waves add up (constructive) so that pitch BOOMS at certain spots.
Out-of-step waves cancel (destructive) so that pitch vanishes at other spots.
This standing wave locks in place: loud at the walls, dead at the midpoint.
Each room dimension (length, width, height) sets its own family of boosted notes.
Real examples
6 m long room: fundamental mode = 343 / (2 x 6) = 28.6 Hz, then 57, 86, 114 Hz...
3 m wide room: mode = 343 / (2 x 3) = 57 Hz, big boom around low bass guitar / kick range
2.4 m ceiling: vertical mode = 343 / (2 x 2.4) = 71 Hz
Stand a mic dead-centre of a 3.4 m wall and 50 Hz can drop -15 dB; move 1 m and it returns
Cube 4 x 4 x 4 m: all three dims boom at 43 Hz together, a brutal one-note bass pileup
How it helps in live sound
Keep subs OUT of corners at small gigs; corners stack all modes for +9 to +12 dB of boom.
Use a measurement mic + REW/Smaart at the mix position; modes show as sharp peaks and deep notches, not a smooth curve.
Fix order: PLACEMENT first (move sub/listener), then a NARROW parametric EQ cut at the peak Hz, never boost a null.
Don't chase a null with EQ, you'll just burn amp headroom; a cancellation is a position problem.
Outdoors/marquees have almost no modes (no parallel walls); hard indoor halls are the modal nightmare.
Sub crossover ~80-100 Hz sits right in the modal zone, so a 1-2 m sub nudge cleans up boom more than any EQ.
Everyday analogy
Like blowing across a beer bottle gives one fixed note set by its size, a room has favourite bass notes set by the gap between its walls, and at those notes the bouncing sound piles up and booms.
Watch out
Myth: boomy bass means turn the sub down or EQ it flat. Truth: it's a room mode tied to position, so move the sub/listener first and only then apply a narrow EQ cut at the exact peak frequency.
Fun fact
In a room mode the air pressure is highest right at the wall and zero in the middle, so the loudest bass seat in the house is literally with your back against the wall, and the deadest is dead centre.
Key takeaways
Room modes are standing-wave bass notes set by wall-to-wall distances.
Axial mode = 343 / (2 x distance in metres); they stack as 1f, 2f, 3f...
Walls/corners = loud (pressure max); room centre = thin (null).
Smaller rooms = higher, more spread-out, boomier modes.
Only a problem below the Schroeder frequency (~100-300 Hz indoors).
Fix with placement first, narrow EQ cut second, never boost a null.