Room Modes in an 11x19 ft Room with a 9 ft Ceiling
This 11x19 ft room, 9 ft to the ceiling, is a common size for a bedroom theater or dedicated music room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 29.6 Hz, driven by the 19 ft length.
On the 0-100 modal score, this room comes in at 65, a decent score, typical for a room this shape. Before you treat anything, know that there is a gap of 21.6 Hz between 29.6 Hz and 51.2 Hz with no mode in between.
Mode spectrum
5 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 (19 ft) | 29.6 Hz | 59.2 Hz | 88.8 Hz | 118.5 Hz |
| Width (11 ft) | 51.2 Hz | 102.3 Hz | 153.5 Hz | 204.6 Hz |
| Ceiling height (9 ft) | 62.5 Hz | 125 Hz | 187.6 Hz | 250.1 Hz |
What this means for your room
- The lowest room mode is 29.6 Hz, set by the 19 ft length.
- Between 29.6 Hz and 51.2 Hz there are no modes at all, so notes in that 21.6 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 40 Hz third-octave band (0 modes against 1 in the band below), so bass will sound uneven from note to note.
- The proportions (1 : 1.22 : 2.11) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
- Below about 173 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
No mode falls between 29.6 Hz and 51.2 Hz, a gap of 21.6 Hz. That is a spot where bass naturally loses energy instead of gaining it.
In a home theater, this shows up as one bass note in an action scene sounding far louder than the rest of the mix, usually a kick drum hit or an LFE cue landing right on that gap. In a music room, the same thing means certain bass notes on a track jump out while others next to them feel buried.
At 1 : 1.22 : 2.11, this room sits outside the Bolt area because the room is long and narrow for its height, which bunches modes up along the length. Expect to lean on bass traps and seat position a bit more than in a room with friendlier proportions.
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.
- Full absorption at 40.0 Hz would take about 7 ft of trap depth, well past what any room can fit. Fill the corners as deep as you reasonably can (6 to 12 in, with an air gap behind), then lean on a membrane trap tuned near that frequency, your seat position and a second subwoofer with EQ to tame the note itself.
- Avoid the exact middle of the 19 ft length for your seat or mix position; try around 7.2 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 173 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 11x19 room with hard walls. Draw your real room, add furniture and speakers, and simulate the bass at your seat.
Every mode below 200 Hz
Below are all 69 modes this room produces under 200 Hz: 12 axial, 35 tangential, 22 oblique. Axial modes, which only involve one pair of opposite surfaces, ring the loudest. Tangential modes (four surfaces) come next, and oblique modes (all six surfaces) are the weakest of the three.
| Frequency | Type | Mode (length, width, height) |
|---|---|---|
| 29.6 Hz | axial | (1,0,0) |
| 51.2 Hz | axial | (0,1,0) |
| 59.1 Hz | tangential | (1,1,0) |
| 59.2 Hz | axial | (2,0,0) |
| 62.5 Hz | axial | (0,0,1) |
| 69.2 Hz | tangential | (1,0,1) |
| 78.3 Hz | tangential | (2,1,0) |
| 80.8 Hz | tangential | (0,1,1) |
| 86 Hz | oblique | (1,1,1) |
| 86.1 Hz | tangential | (2,0,1) |
| 88.8 Hz | axial | (3,0,0) |
| 100.2 Hz | oblique | (2,1,1) |
| 102.3 Hz | axial | (0,2,0) |
| 102.5 Hz | tangential | (3,1,0) |
| 106.5 Hz | tangential | (1,2,0) |
| 108.6 Hz | tangential | (3,0,1) |
| 118.2 Hz | tangential | (2,2,0) |
| 118.5 Hz | axial | (4,0,0) |
| 119.9 Hz | tangential | (0,2,1) |
| 120.1 Hz | oblique | (3,1,1) |
| 123.5 Hz | oblique | (1,2,1) |
| 125 Hz | axial | (0,0,2) |
| 128.5 Hz | tangential | (1,0,2) |
| 129 Hz | tangential | (4,1,0) |
| 133.7 Hz | oblique | (2,2,1) |
| 133.9 Hz | tangential | (4,0,1) |
| 135.1 Hz | tangential | (0,1,2) |
| 135.5 Hz | tangential | (3,2,0) |
| 138.3 Hz | oblique | (1,1,2) |
| 138.4 Hz | tangential | (2,0,2) |
| 143.4 Hz | oblique | (4,1,1) |
| 147.5 Hz | oblique | (2,1,2) |
| 148.1 Hz | axial | (5,0,0) |
| 149.2 Hz | oblique | (3,2,1) |
| 153.4 Hz | tangential | (3,0,2) |
| 153.5 Hz | axial | (0,3,0) |
| 156.3 Hz | tangential | (1,3,0) |
| 156.5 Hz | tangential | (4,2,0) |
| 156.7 Hz | tangential | (5,1,0) |
| 160.7 Hz | tangential | (5,0,1) |
| 161.6 Hz | tangential | (0,2,2) |
| 161.7 Hz | oblique | (3,1,2) |
| 164.2 Hz | oblique | (1,2,2) |
| 164.5 Hz | tangential | (2,3,0) |
| 165.7 Hz | tangential | (0,3,1) |
| 168.3 Hz | oblique | (1,3,1) |
| 168.5 Hz | oblique | (4,2,1) |
| 168.7 Hz | oblique | (5,1,1) |
| 172.1 Hz | oblique | (2,2,2) |
| 172.2 Hz | tangential | (4,0,2) |
| 176 Hz | oblique | (2,3,1) |
| 177.3 Hz | tangential | (3,3,0) |
| 177.7 Hz | axial | (6,0,0) |
| 179.7 Hz | oblique | (4,1,2) |
| 180 Hz | tangential | (5,2,0) |
| 184.4 Hz | oblique | (3,2,2) |
| 184.9 Hz | tangential | (6,1,0) |
| 187.6 Hz | axial | (0,0,3) |
| 188 Hz | oblique | (3,3,1) |
| 188.4 Hz | tangential | (6,0,1) |
| 189.9 Hz | tangential | (1,0,3) |
| 190.5 Hz | oblique | (5,2,1) |
| 193.8 Hz | tangential | (5,0,2) |
| 193.9 Hz | tangential | (4,3,0) |
| 194.4 Hz | tangential | (0,1,3) |
| 195.2 Hz | oblique | (6,1,1) |
| 196.6 Hz | oblique | (1,1,3) |
| 196.7 Hz | tangential | (2,0,3) |
| 197.9 Hz | tangential | (0,3,2) |
Questions about 11x19 rooms
- Is an 11 by 19 ft room good for a music room or home theater?
- It can work as a bedroom theater or dedicated music room, but do not expect an easy ride: this room scores 65/100 because there is a gap of 21.6 Hz between 29.6 Hz and 51.2 Hz with no mode in between. Treatment will make a real difference here.
- What is the best corner for bass traps in an 11x19 room?
- The four vertical corners first. Full absorption at 40.0 Hz would take roughly 7 ft of trap depth, so treat that note with a tuned membrane or pressure trap instead, and use thick porous corner traps (6 to 12 in) for everything above it.
- What size subwoofer does an 11x19 room need?
- Subwoofer size is less about this room's 209 sq ft and more about the output headroom you want; room size mainly changes where the 69 modes below 200 Hz fall. A room this size needs more sub output to reach the same level as a smaller one, and running two subs at different spots evens out the response between seats.
- Why does bass sound thin in spots in an 11 by 19 ft room?
- Here it comes down to this: there is a gap of 21.6 Hz between 29.6 Hz and 51.2 Hz with no mode in between. That is a property of the room's shape, not your equipment, so treatment, not a better sub, is the fix.
- What is the fastest fix for bass in an 11x19 room?
- Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 40.0 Hz, since that note's own quarter wavelength (about 7 ft) is too deep for any panel. After that, reposition your seat near 7.2 ft from the front wall and verify with REW below 173 Hz.
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.