Room Modes in an 11x30 ft Room with a 10 ft Ceiling
A 11 by 30 ft room with a 10 ft ceiling suits a dedicated home theater or media room. Its lowest room mode sits at 18.8 Hz, set by the 30 ft length, the lowest note the room itself reinforces before any speaker or sub plays a thing.
Checked against every mode below 200 Hz, this room scores 20/100, a tough score, this room's shape fights you more than most. The clearest issue is that two of its dimensions reinforce the same note near 56.3 Hz.
Mode spectrum
4 dense clusters (≤5 Hz apart) — overlapping resonances are harder to treat evenly.
Each line is one standing wave. Axial modes, the strongest kind, stand tallest; tight bunches and wide empty stretches are where the bass will sound uneven.
Axial modes by dimension
| Dimension | 1st | 2nd | 3rd | 4th |
|---|---|---|---|---|
| Length (30 ft) | 18.8 Hz | 37.5 Hz | 56.3 Hz | 75 Hz |
| Width (11 ft) | 51.2 Hz | 102.3 Hz | 153.5 Hz | 204.6 Hz |
| Ceiling height (10 ft) | 56.3 Hz | 112.5 Hz | 168.8 Hz | 225.1 Hz |
What this means for your room
- The lowest room mode is 18.8 Hz, set by the 30 ft length.
- Your 30 ft length and 11 ft width both resonate near 150.0 Hz, so bass at that note will be much louder than its neighbours.
- Your 30 ft length is exactly three times your 10 ft ceiling height, so their modes stack at 56.3, 112.5 and 168.8 Hz and bass at those notes will be much louder than its neighbours.
- Between 18.8 Hz and 37.5 Hz there are no modes at all, so notes in that 18.7 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 25 Hz third-octave band (0 modes against 1 in the band below), so bass will sound uneven from note to note.
- The proportions (1 : 1.10 : 3.00) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
- Below about 131 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
The modes from your 30 ft length and 10 ft ceiling land on top of each other near 56.3 Hz. That stack means one specific low note gets reinforced twice, so it jumps out over everything nearby.
For a home theater, expect that stacked note to color explosions and sub-bass hits unevenly rather than smoothly. For a music room, it means you cannot fully trust what you hear in the low end at the listening position, since a note that sounds loud in the room may be perfectly balanced on the recording.
The proportions (1 : 1.10 : 3.00) fall outside the Bolt area, the range room ratios usually spread modes best over, because the room is long and narrow for its height, which bunches modes up along the length. That does not rule the room out, but treatment is doing more of the work here than shape is.
How to fix it, in order
- Put your first traps in the four vertical corners where floor meets ceiling; that is where every mode in this room reaches its loudest point, ceiling height included.
- At 56.3 Hz the quarter wavelength is about 5 ft, deeper than any practical panel, so a porous trap alone will not fully absorb that note. Build corner traps as thick as you can fit (6 to 12 in, straddling the corner with an air gap behind) to take the edge off, then handle the note itself with a membrane or pressure trap tuned near it, careful seat position, and more than one subwoofer with EQ.
- Avoid the exact middle of the 30 ft length for your seat or mix position; try around 11.4 ft from the front wall (38% of the length) as a starting point, then nudge from there by ear.
- Test more than one subwoofer position. Corner placement drives the most output but also the least even bass; moving it along a wall or using two subs at different spots tends to average out this room’s peaks.
- Confirm the fix with an REW measurement at the listening position, paying closest attention below 131 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 11x30 room with hard walls. Draw your real room, add furniture and speakers, and simulate the bass at your seat.
Every mode below 200 Hz
The table below lists every mode under 200 Hz for this room: 118 in all, 16 axial, 56 tangential and 46 oblique. Axial modes bounce between just two parallel surfaces (say, the two side walls) and are the loudest and most audible; tangential modes involve four surfaces and are quieter; oblique modes bounce off all six surfaces and are the faintest. Start with the axial rows; they cause most of the boomy or thin spots you will actually hear.
| Frequency | Type | Mode (length, width, height) |
|---|---|---|
| 18.8 Hz | axial | (1,0,0) |
| 37.5 Hz | axial | (2,0,0) |
| 51.2 Hz | axial | (0,1,0) |
| 54.5 Hz | tangential | (1,1,0) |
| 56.3 Hz | axial | (0,0,1) |
| 56.3 Hz | axial | (3,0,0) |
| 59.3 Hz | tangential | (1,0,1) |
| 63.4 Hz | tangential | (2,1,0) |
| 67.6 Hz | tangential | (2,0,1) |
| 75 Hz | axial | (4,0,0) |
| 76 Hz | tangential | (0,1,1) |
| 76 Hz | tangential | (3,1,0) |
| 78.3 Hz | oblique | (1,1,1) |
| 79.6 Hz | tangential | (3,0,1) |
| 84.8 Hz | oblique | (2,1,1) |
| 90.8 Hz | tangential | (4,1,0) |
| 93.8 Hz | axial | (5,0,0) |
| 93.8 Hz | tangential | (4,0,1) |
| 94.6 Hz | oblique | (3,1,1) |
| 102.3 Hz | axial | (0,2,0) |
| 104 Hz | tangential | (1,2,0) |
| 106.8 Hz | tangential | (5,1,0) |
| 106.8 Hz | oblique | (4,1,1) |
| 109 Hz | tangential | (2,2,0) |
| 109.4 Hz | tangential | (5,0,1) |
| 112.5 Hz | axial | (0,0,2) |
| 112.5 Hz | axial | (6,0,0) |
| 114.1 Hz | tangential | (1,0,2) |
| 116.8 Hz | tangential | (0,2,1) |
| 116.8 Hz | tangential | (3,2,0) |
| 118.3 Hz | oblique | (1,2,1) |
| 118.6 Hz | tangential | (2,0,2) |
| 120.7 Hz | oblique | (5,1,1) |
| 122.6 Hz | oblique | (2,2,1) |
| 123.6 Hz | tangential | (0,1,2) |
| 123.6 Hz | tangential | (6,1,0) |
| 125 Hz | oblique | (1,1,2) |
| 125.8 Hz | tangential | (3,0,2) |
| 125.8 Hz | tangential | (6,0,1) |
| 126.9 Hz | tangential | (4,2,0) |
| 129.2 Hz | oblique | (2,1,2) |
| 129.6 Hz | oblique | (3,2,1) |
| 131.3 Hz | axial | (7,0,0) |
| 135.2 Hz | tangential | (4,0,2) |
| 135.8 Hz | oblique | (3,1,2) |
| 135.8 Hz | oblique | (6,1,1) |
| 138.8 Hz | tangential | (5,2,0) |
| 138.8 Hz | oblique | (4,2,1) |
| 140.9 Hz | tangential | (7,1,0) |
| 142.8 Hz | tangential | (7,0,1) |
| 144.6 Hz | oblique | (4,1,2) |
| 146.5 Hz | tangential | (5,0,2) |
| 149.8 Hz | oblique | (5,2,1) |
| 150 Hz | axial | (8,0,0) |
| 151.7 Hz | oblique | (7,1,1) |
| 152.1 Hz | tangential | (0,2,2) |
| 152.1 Hz | tangential | (6,2,0) |
| 153.2 Hz | oblique | (1,2,2) |
| 153.5 Hz | axial | (0,3,0) |
| 154.6 Hz | tangential | (1,3,0) |
| 155.2 Hz | oblique | (5,1,2) |
| 156.6 Hz | oblique | (2,2,2) |
| 158 Hz | tangential | (2,3,0) |
| 158.5 Hz | tangential | (8,1,0) |
| 159.1 Hz | tangential | (6,0,2) |
| 160.2 Hz | tangential | (8,0,1) |
| 162.2 Hz | oblique | (3,2,2) |
| 162.2 Hz | oblique | (6,2,1) |
| 163.4 Hz | tangential | (0,3,1) |
| 163.4 Hz | tangential | (3,3,0) |
| 164.5 Hz | oblique | (1,3,1) |
| 166.4 Hz | tangential | (7,2,0) |
| 167.2 Hz | oblique | (6,1,2) |
| 167.7 Hz | oblique | (2,3,1) |
| 168.2 Hz | oblique | (8,1,1) |
| 168.8 Hz | axial | (0,0,3) |
| 168.8 Hz | axial | (9,0,0) |
| 169.6 Hz | oblique | (4,2,2) |
| 169.8 Hz | tangential | (1,0,3) |
| 170.8 Hz | tangential | (4,3,0) |
| 172.9 Hz | tangential | (2,0,3) |
| 172.9 Hz | tangential | (7,0,2) |
| 172.9 Hz | oblique | (3,3,1) |
| 175.7 Hz | oblique | (7,2,1) |
| 176.4 Hz | tangential | (0,1,3) |
| 176.4 Hz | tangential | (9,1,0) |
| 177.4 Hz | oblique | (1,1,3) |
| 177.9 Hz | tangential | (3,0,3) |
| 177.9 Hz | tangential | (9,0,1) |
| 178.7 Hz | oblique | (5,2,2) |
| 179.8 Hz | tangential | (5,3,0) |
| 179.8 Hz | oblique | (4,3,1) |
| 180.3 Hz | oblique | (2,1,3) |
| 180.3 Hz | oblique | (7,1,2) |
| 181.6 Hz | tangential | (8,2,0) |
| 184.7 Hz | tangential | (4,0,3) |
| 185.1 Hz | oblique | (3,1,3) |
| 185.1 Hz | oblique | (9,1,1) |
| 187.6 Hz | axial | (10,0,0) |
| 187.6 Hz | tangential | (8,0,2) |
| 188.4 Hz | oblique | (5,3,1) |
| 189.2 Hz | oblique | (6,2,2) |
| 190.1 Hz | oblique | (8,2,1) |
| 190.3 Hz | tangential | (0,3,2) |
| 190.3 Hz | tangential | (6,3,0) |
| 191.2 Hz | oblique | (1,3,2) |
| 191.7 Hz | oblique | (4,1,3) |
| 193.1 Hz | tangential | (5,0,3) |
| 194 Hz | oblique | (2,3,2) |
| 194.4 Hz | tangential | (10,1,0) |
| 194.4 Hz | oblique | (8,1,2) |
| 195.8 Hz | tangential | (10,0,1) |
| 197.4 Hz | tangential | (0,2,3) |
| 197.4 Hz | tangential | (9,2,0) |
| 198.3 Hz | oblique | (1,2,3) |
| 198.4 Hz | oblique | (3,3,2) |
| 198.4 Hz | oblique | (6,3,1) |
| 199.8 Hz | oblique | (5,1,3) |
Questions about 11x30 rooms
- Will an 11x30 room work for a home theater?
- You can use this room as a dedicated home theater or media room, but its bass will fight you: a 20/100 modal score, mainly because two of its dimensions reinforce the same note near 56.3 Hz, means committed corner trapping and careful seat placement are not optional here.
- Where should I put bass traps in an 11x30 room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 56.3 Hz mode itself would need about 5 ft of depth to fully absorb, more than any panel can give, so build corner traps as thick as you can fit (6 to 12 in) and pair them with a membrane trap tuned near 56.3 Hz.
- What subwoofer size is right for an 11 by 30 ft room?
- There is no fixed sub size tied to 330 sq ft; that number mostly sets this room's mode frequencies (118 of them under 200 Hz). At this size you will want more headroom than a small room needs, and two subwoofers usually beat one at keeping bass even from seat to seat.
- Why does my 11x30 room have one loud bass note?
- The short answer for this room: two of its dimensions reinforce the same note near 56.3 Hz. Bass unevenness like that is built into the shape of the room and shows up regardless of what speakers or sub you use.
- How do I fix bass problems in an 11x30 room?
- Put bass traps in the four floor-to-ceiling corners first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 56.3 Hz, since that note's own quarter wavelength (about 5 ft) is too deep for any panel. From there, move your seat to about 11.4 ft from the front wall, then measure with REW below 131 Hz to see what still needs work.
Similar room sizes
How these numbers are calculated
Modes use the rectangular-room equation f = (c/2)·√((nx/L)² + (ny/W)² + (nz/H)²) with c = 343 m/s, for an empty room with rigid walls. The Schroeder frequency is fs = 2000 x sqrt(RT60 / V), assuming RT60 = 0.4 s. The modal score starts at 100 and subtracts penalties for stacked modes, density dips, gaps, proportions outside the Bolt area and dimension multiples. Doors, openings and furniture shift real rooms away from these values, which is what the room mode calculator and the 3D editor are for.