Room Modes in a 26x28 ft Room with a 9 ft Ceiling
This 26x28 ft room, 9 ft to the ceiling, is a common size for a dedicated home theater or media room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 20.1 Hz, driven by the 28 ft length.
On the 0-100 modal score, this room comes in at 67, a decent score, typical for a room this shape. Before you treat anything, know that there is a gap of 11.4 Hz between 47.7 Hz and 59.1 Hz with no mode in between.
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 (28 ft) | 20.1 Hz | 40.2 Hz | 60.3 Hz | 80.4 Hz |
| Width (26 ft) | 21.6 Hz | 43.3 Hz | 64.9 Hz | 86.6 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 20.1 Hz, set by the 28 ft length.
- Your 28 ft length is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
- Your 26 ft width is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
- Between 47.7 Hz and 59.1 Hz there are no modes at all, so notes in that 11.4 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 25 Hz third-octave band (0 modes against 2 in the band below), so bass will sound uneven from note to note.
- The proportions (1 : 2.89 : 3.11) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
- Below about 93 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
No mode falls between 47.7 Hz and 59.1 Hz, a gap of 11.4 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 : 2.89 : 3.11, this room sits outside the Bolt area because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. 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
- Start with bass traps in the four floor-to-ceiling corners; every mode in this room peaks there, including the ones set by your ceiling height.
- Full absorption at 25.0 Hz would take about 11.3 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.
- Do not sit dead-center on the 28 ft length. Start near 10.6 ft from the front wall, about 38% of the way back, and adjust from there.
- For the subwoofer, try a few spots before settling: a front corner usually gives the most output but also the most uneven bass, while pulling it off the wall or adding a second sub often smooths out peaks like the ones this room has.
- After treating, run an REW sweep from the seat. Everything below 93 Hz is where these modes live, so that is the range worth checking before you call the room done.
These numbers assume an empty rectangular 26x28 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 218 modes this room produces under 200 Hz: 21 axial, 99 tangential, 98 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) |
|---|---|---|
| 20.1 Hz | axial | (1,0,0) |
| 21.6 Hz | axial | (0,1,0) |
| 29.5 Hz | tangential | (1,1,0) |
| 40.2 Hz | axial | (2,0,0) |
| 43.3 Hz | axial | (0,2,0) |
| 45.6 Hz | tangential | (2,1,0) |
| 47.7 Hz | tangential | (1,2,0) |
| 59.1 Hz | tangential | (2,2,0) |
| 60.3 Hz | axial | (3,0,0) |
| 62.5 Hz | axial | (0,0,1) |
| 64.1 Hz | tangential | (3,1,0) |
| 64.9 Hz | axial | (0,3,0) |
| 65.7 Hz | tangential | (1,0,1) |
| 66.2 Hz | tangential | (0,1,1) |
| 68 Hz | tangential | (1,3,0) |
| 69.1 Hz | oblique | (1,1,1) |
| 74.2 Hz | tangential | (3,2,0) |
| 74.3 Hz | tangential | (2,0,1) |
| 76 Hz | tangential | (0,2,1) |
| 76.4 Hz | tangential | (2,3,0) |
| 77.4 Hz | oblique | (2,1,1) |
| 78.6 Hz | oblique | (1,2,1) |
| 80.4 Hz | axial | (4,0,0) |
| 83.2 Hz | tangential | (4,1,0) |
| 86 Hz | oblique | (2,2,1) |
| 86.6 Hz | axial | (0,4,0) |
| 86.8 Hz | tangential | (3,0,1) |
| 88.6 Hz | tangential | (3,3,0) |
| 88.9 Hz | tangential | (1,4,0) |
| 89.5 Hz | oblique | (3,1,1) |
| 90.1 Hz | tangential | (0,3,1) |
| 91.3 Hz | tangential | (4,2,0) |
| 92.3 Hz | oblique | (1,3,1) |
| 95.4 Hz | tangential | (2,4,0) |
| 97 Hz | oblique | (3,2,1) |
| 98.7 Hz | oblique | (2,3,1) |
| 100.5 Hz | axial | (5,0,0) |
| 101.8 Hz | tangential | (4,0,1) |
| 102.8 Hz | tangential | (5,1,0) |
| 103.3 Hz | tangential | (4,3,0) |
| 104.1 Hz | oblique | (4,1,1) |
| 105.5 Hz | tangential | (3,4,0) |
| 106.8 Hz | tangential | (0,4,1) |
| 108.2 Hz | axial | (0,5,0) |
| 108.4 Hz | oblique | (3,3,1) |
| 108.7 Hz | oblique | (1,4,1) |
| 109.4 Hz | tangential | (5,2,0) |
| 110.1 Hz | tangential | (1,5,0) |
| 110.6 Hz | oblique | (4,2,1) |
| 114.1 Hz | oblique | (2,4,1) |
| 115.4 Hz | tangential | (2,5,0) |
| 118.1 Hz | tangential | (4,4,0) |
| 118.3 Hz | tangential | (5,0,1) |
| 119.6 Hz | tangential | (5,3,0) |
| 120.3 Hz | oblique | (5,1,1) |
| 120.6 Hz | axial | (6,0,0) |
| 120.8 Hz | oblique | (4,3,1) |
| 122.5 Hz | tangential | (6,1,0) |
| 122.6 Hz | oblique | (3,4,1) |
| 123.9 Hz | tangential | (3,5,0) |
| 125 Hz | axial | (0,0,2) |
| 125 Hz | tangential | (0,5,1) |
| 126 Hz | oblique | (5,2,1) |
| 126.6 Hz | tangential | (1,0,2) |
| 126.6 Hz | oblique | (1,5,1) |
| 126.9 Hz | tangential | (0,1,2) |
| 128.1 Hz | tangential | (6,2,0) |
| 128.5 Hz | oblique | (1,1,2) |
| 129.8 Hz | axial | (0,6,0) |
| 131.3 Hz | tangential | (2,0,2) |
| 131.3 Hz | oblique | (2,5,1) |
| 131.4 Hz | tangential | (1,6,0) |
| 132.3 Hz | tangential | (0,2,2) |
| 132.6 Hz | tangential | (5,4,0) |
| 133.1 Hz | oblique | (2,1,2) |
| 133.7 Hz | oblique | (4,4,1) |
| 133.8 Hz | oblique | (1,2,2) |
| 134.8 Hz | tangential | (4,5,0) |
| 135 Hz | oblique | (5,3,1) |
| 135.8 Hz | tangential | (6,0,1) |
| 135.9 Hz | tangential | (2,6,0) |
| 136.9 Hz | tangential | (6,3,0) |
| 137.5 Hz | oblique | (6,1,1) |
| 138.3 Hz | oblique | (2,2,2) |
| 138.7 Hz | oblique | (3,5,1) |
| 138.8 Hz | tangential | (3,0,2) |
| 140.5 Hz | oblique | (3,1,2) |
| 140.7 Hz | axial | (7,0,0) |
| 140.9 Hz | tangential | (0,3,2) |
| 142.3 Hz | tangential | (7,1,0) |
| 142.3 Hz | oblique | (1,3,2) |
| 142.5 Hz | oblique | (6,2,1) |
| 143.2 Hz | tangential | (3,6,0) |
| 144.1 Hz | tangential | (0,6,1) |
| 145.4 Hz | oblique | (3,2,2) |
| 145.5 Hz | oblique | (1,6,1) |
| 146.5 Hz | oblique | (2,3,2) |
| 146.6 Hz | oblique | (5,4,1) |
| 147.2 Hz | tangential | (7,2,0) |
| 147.7 Hz | tangential | (5,5,0) |
| 148.4 Hz | tangential | (6,4,0) |
| 148.6 Hz | tangential | (4,0,2) |
| 148.6 Hz | oblique | (4,5,1) |
| 149.6 Hz | oblique | (2,6,1) |
| 150.2 Hz | oblique | (4,1,2) |
| 150.5 Hz | oblique | (6,3,1) |
| 151.5 Hz | axial | (0,7,0) |
| 152.1 Hz | tangential | (0,4,2) |
| 152.7 Hz | tangential | (4,6,0) |
| 152.8 Hz | tangential | (1,7,0) |
| 153.2 Hz | oblique | (3,3,2) |
| 153.4 Hz | oblique | (1,4,2) |
| 153.9 Hz | tangential | (7,0,1) |
| 154.8 Hz | oblique | (4,2,2) |
| 154.9 Hz | tangential | (7,3,0) |
| 155.4 Hz | oblique | (7,1,1) |
| 156.2 Hz | oblique | (3,6,1) |
| 156.7 Hz | tangential | (2,7,0) |
| 157.3 Hz | oblique | (2,4,2) |
| 159.9 Hz | oblique | (7,2,1) |
| 160.4 Hz | tangential | (5,0,2) |
| 160.4 Hz | oblique | (5,5,1) |
| 160.8 Hz | axial | (8,0,0) |
| 161.1 Hz | oblique | (6,4,1) |
| 161.9 Hz | oblique | (5,1,2) |
| 162 Hz | tangential | (6,5,0) |
| 162.2 Hz | tangential | (8,1,0) |
| 162.2 Hz | oblique | (4,3,2) |
| 163 Hz | tangential | (3,7,0) |
| 163.6 Hz | oblique | (3,4,2) |
| 163.9 Hz | tangential | (0,7,1) |
| 164.2 Hz | tangential | (5,6,0) |
| 165 Hz | oblique | (4,6,1) |
| 165.1 Hz | oblique | (1,7,1) |
| 165.2 Hz | tangential | (7,4,0) |
| 165.4 Hz | tangential | (0,5,2) |
| 166.1 Hz | oblique | (5,2,2) |
| 166.5 Hz | tangential | (8,2,0) |
| 166.6 Hz | oblique | (1,5,2) |
| 167.1 Hz | oblique | (7,3,1) |
| 168.7 Hz | oblique | (2,7,1) |
| 170.2 Hz | oblique | (2,5,2) |
| 171.5 Hz | tangential | (4,7,0) |
| 172 Hz | oblique | (4,4,2) |
| 172.5 Hz | tangential | (8,0,1) |
| 173 Hz | oblique | (5,3,2) |
| 173.1 Hz | axial | (0,8,0) |
| 173.4 Hz | tangential | (8,3,0) |
| 173.6 Hz | oblique | (6,5,1) |
| 173.7 Hz | tangential | (6,0,2) |
| 173.8 Hz | oblique | (8,1,1) |
| 174.3 Hz | tangential | (1,8,0) |
| 174.6 Hz | oblique | (3,7,1) |
| 175 Hz | oblique | (6,1,2) |
| 175.7 Hz | oblique | (5,6,1) |
| 176 Hz | oblique | (3,5,2) |
| 176.6 Hz | oblique | (7,4,1) |
| 177.2 Hz | tangential | (6,6,0) |
| 177.5 Hz | tangential | (7,5,0) |
| 177.7 Hz | tangential | (2,8,0) |
| 177.8 Hz | oblique | (8,2,1) |
| 179 Hz | oblique | (6,2,2) |
| 180.3 Hz | tangential | (0,6,2) |
| 180.9 Hz | axial | (9,0,0) |
| 181.4 Hz | oblique | (1,6,2) |
| 181.8 Hz | tangential | (5,7,0) |
| 182.1 Hz | tangential | (9,1,0) |
| 182.3 Hz | oblique | (5,4,2) |
| 182.5 Hz | oblique | (4,7,1) |
| 182.6 Hz | tangential | (8,4,0) |
| 183.3 Hz | tangential | (3,8,0) |
| 183.9 Hz | oblique | (4,5,2) |
| 184.1 Hz | tangential | (0,8,1) |
| 184.3 Hz | oblique | (8,3,1) |
| 184.7 Hz | oblique | (2,6,2) |
| 185.2 Hz | oblique | (1,8,1) |
| 185.4 Hz | oblique | (6,3,2) |
| 186 Hz | tangential | (9,2,0) |
| 187.6 Hz | axial | (0,0,3) |
| 187.9 Hz | oblique | (6,6,1) |
| 188.2 Hz | tangential | (7,0,2) |
| 188.2 Hz | oblique | (7,5,1) |
| 188.4 Hz | oblique | (2,8,1) |
| 188.6 Hz | tangential | (1,0,3) |
| 188.8 Hz | tangential | (0,1,3) |
| 189.4 Hz | oblique | (7,1,2) |
| 189.9 Hz | oblique | (1,1,3) |
| 190.1 Hz | oblique | (3,6,2) |
| 190.9 Hz | tangential | (4,8,0) |
| 191.4 Hz | tangential | (7,6,0) |
| 191.4 Hz | tangential | (9,0,1) |
| 191.8 Hz | tangential | (2,0,3) |
| 192.2 Hz | tangential | (9,3,0) |
| 192.2 Hz | oblique | (5,7,1) |
| 192.5 Hz | tangential | (0,2,3) |
| 192.6 Hz | oblique | (9,1,1) |
| 193 Hz | oblique | (2,1,3) |
| 193 Hz | oblique | (8,4,1) |
| 193.1 Hz | oblique | (7,2,2) |
| 193.5 Hz | oblique | (1,2,3) |
| 193.5 Hz | oblique | (5,5,2) |
| 193.6 Hz | tangential | (6,7,0) |
| 193.7 Hz | oblique | (3,8,1) |
| 193.8 Hz | tangential | (8,5,0) |
| 194.1 Hz | oblique | (6,4,2) |
| 194.8 Hz | axial | (0,9,0) |
| 195.8 Hz | tangential | (1,9,0) |
| 196.2 Hz | oblique | (9,2,1) |
| 196.4 Hz | tangential | (0,7,2) |
| 196.6 Hz | oblique | (2,2,3) |
| 197 Hz | tangential | (3,0,3) |
| 197.4 Hz | oblique | (1,7,2) |
| 197.4 Hz | oblique | (4,6,2) |
| 198.2 Hz | oblique | (3,1,3) |
| 198.5 Hz | tangential | (0,3,3) |
| 198.9 Hz | tangential | (2,9,0) |
| 199.1 Hz | oblique | (7,3,2) |
| 199.5 Hz | oblique | (1,3,3) |
Questions about 26x28 rooms
- Will a 26x28 room work for a home theater?
- This size suits a dedicated home theater or media room, though the 67/100 modal score signals some work ahead, mainly because there is a gap of 11.4 Hz between 47.7 Hz and 59.1 Hz with no mode in between.
- Where should I put bass traps in a 26x28 room?
- The four vertical corners first. Full absorption at 25.0 Hz would take roughly 11.3 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 subwoofer size is right for a 26 by 28 ft room?
- There is no fixed sub size tied to 728 sq ft; that number mostly sets this room's mode frequencies (218 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 26x28 room have weak bass notes?
- The short answer for this room: there is a gap of 11.4 Hz between 47.7 Hz and 59.1 Hz with no mode in between. 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 a 26x28 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 25.0 Hz, since that note's own quarter wavelength (about 11.3 ft) is too deep for any panel. From there, move your seat to about 10.6 ft from the front wall, then measure with REW below 93 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.