Room Modes in a 28x29 ft Room with a 9 ft Ceiling
A 28 by 29 ft room with a 9 ft ceiling suits a dedicated home theater or media room. Its lowest room mode sits at 19.4 Hz, set by the 29 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 60/100, a decent score, typical for a room this shape. The clearest issue is that there is a gap of 11.3 Hz between 44.6 Hz and 55.9 Hz with no mode in between.
Mode spectrum
3 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 (29 ft) | 19.4 Hz | 38.8 Hz | 58.2 Hz | 77.6 Hz |
| Width (28 ft) | 20.1 Hz | 40.2 Hz | 60.3 Hz | 80.4 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 19.4 Hz, set by the 29 ft length.
- Your 29 ft length is almost the same as your 28 ft width, so their modes fall close together without quite stacking.
- Your 28 ft width is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
- Between 44.6 Hz and 55.9 Hz there are no modes at all, so notes in that 11.3 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 25 and 50 Hz third-octave bands, where fewer modes fall than in the band below, so bass will sound uneven from note to note.
- The proportions (1 : 3.11 : 3.22) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
- Below about 88 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
This room has a hole of 11.3 Hz between 44.6 Hz and 55.9 Hz where no mode helps the bass along. Anything tuned to that range reads weaker than its neighbors.
For a home theater, expect that gap 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 : 3.11 : 3.22) fall outside the Bolt area, the range room ratios usually spread modes best over, because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. 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 25.0 Hz the quarter wavelength is about 11.3 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 29 ft length for your seat or mix position; try around 11 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 88 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 28x29 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 243 modes this room produces under 200 Hz: 22 axial, 110 tangential, 111 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) |
|---|---|---|
| 19.4 Hz | axial | (1,0,0) |
| 20.1 Hz | axial | (0,1,0) |
| 27.9 Hz | tangential | (1,1,0) |
| 38.8 Hz | axial | (2,0,0) |
| 40.2 Hz | axial | (0,2,0) |
| 43.7 Hz | tangential | (2,1,0) |
| 44.6 Hz | tangential | (1,2,0) |
| 55.9 Hz | tangential | (2,2,0) |
| 58.2 Hz | axial | (3,0,0) |
| 60.3 Hz | axial | (0,3,0) |
| 61.6 Hz | tangential | (3,1,0) |
| 62.5 Hz | axial | (0,0,1) |
| 63.3 Hz | tangential | (1,3,0) |
| 65.5 Hz | tangential | (1,0,1) |
| 65.7 Hz | tangential | (0,1,1) |
| 68.5 Hz | oblique | (1,1,1) |
| 70.7 Hz | tangential | (3,2,0) |
| 71.7 Hz | tangential | (2,3,0) |
| 73.6 Hz | tangential | (2,0,1) |
| 74.3 Hz | tangential | (0,2,1) |
| 76.3 Hz | oblique | (2,1,1) |
| 76.8 Hz | oblique | (1,2,1) |
| 77.6 Hz | axial | (4,0,0) |
| 80.2 Hz | tangential | (4,1,0) |
| 80.4 Hz | axial | (0,4,0) |
| 82.7 Hz | tangential | (1,4,0) |
| 83.8 Hz | tangential | (3,3,0) |
| 83.8 Hz | oblique | (2,2,1) |
| 85.4 Hz | tangential | (3,0,1) |
| 86.8 Hz | tangential | (0,3,1) |
| 87.4 Hz | tangential | (4,2,0) |
| 87.8 Hz | oblique | (3,1,1) |
| 89 Hz | oblique | (1,3,1) |
| 89.3 Hz | tangential | (2,4,0) |
| 94.4 Hz | oblique | (3,2,1) |
| 95.1 Hz | oblique | (2,3,1) |
| 97 Hz | axial | (5,0,0) |
| 98.3 Hz | tangential | (4,3,0) |
| 99.1 Hz | tangential | (5,1,0) |
| 99.2 Hz | tangential | (3,4,0) |
| 99.7 Hz | tangential | (4,0,1) |
| 100.5 Hz | axial | (0,5,0) |
| 101.7 Hz | oblique | (4,1,1) |
| 101.8 Hz | tangential | (0,4,1) |
| 102.3 Hz | tangential | (1,5,0) |
| 103.7 Hz | oblique | (1,4,1) |
| 104.6 Hz | oblique | (3,3,1) |
| 105 Hz | tangential | (5,2,0) |
| 107.5 Hz | oblique | (4,2,1) |
| 107.7 Hz | tangential | (2,5,0) |
| 109 Hz | oblique | (2,4,1) |
| 111.7 Hz | tangential | (4,4,0) |
| 114.2 Hz | tangential | (5,3,0) |
| 115.4 Hz | tangential | (5,0,1) |
| 116.1 Hz | tangential | (3,5,0) |
| 116.4 Hz | axial | (6,0,0) |
| 116.5 Hz | oblique | (4,3,1) |
| 117.1 Hz | oblique | (5,1,1) |
| 117.3 Hz | oblique | (3,4,1) |
| 118.1 Hz | tangential | (6,1,0) |
| 118.3 Hz | tangential | (0,5,1) |
| 119.9 Hz | oblique | (1,5,1) |
| 120.6 Hz | axial | (0,6,0) |
| 122.1 Hz | tangential | (1,6,0) |
| 122.2 Hz | oblique | (5,2,1) |
| 123.2 Hz | tangential | (6,2,0) |
| 124.5 Hz | oblique | (2,5,1) |
| 125 Hz | axial | (0,0,2) |
| 126 Hz | tangential | (5,4,0) |
| 126.5 Hz | tangential | (1,0,2) |
| 126.6 Hz | tangential | (0,1,2) |
| 126.7 Hz | tangential | (2,6,0) |
| 127 Hz | tangential | (4,5,0) |
| 128 Hz | oblique | (4,4,1) |
| 128.1 Hz | oblique | (1,1,2) |
| 130.2 Hz | oblique | (5,3,1) |
| 130.9 Hz | tangential | (2,0,2) |
| 131.1 Hz | tangential | (6,3,0) |
| 131.3 Hz | tangential | (0,2,2) |
| 131.9 Hz | oblique | (3,5,1) |
| 132.1 Hz | tangential | (6,0,1) |
| 132.5 Hz | oblique | (2,1,2) |
| 132.8 Hz | oblique | (1,2,2) |
| 133.7 Hz | oblique | (6,1,1) |
| 133.9 Hz | tangential | (3,6,0) |
| 135.8 Hz | axial | (7,0,0) |
| 135.8 Hz | tangential | (0,6,1) |
| 136.9 Hz | oblique | (2,2,2) |
| 137.2 Hz | oblique | (1,6,1) |
| 137.3 Hz | tangential | (7,1,0) |
| 137.9 Hz | tangential | (3,0,2) |
| 138.1 Hz | oblique | (6,2,1) |
| 138.8 Hz | tangential | (0,3,2) |
| 139.4 Hz | oblique | (3,1,2) |
| 139.7 Hz | tangential | (5,5,0) |
| 140.2 Hz | oblique | (1,3,2) |
| 140.6 Hz | oblique | (5,4,1) |
| 140.7 Hz | axial | (0,7,0) |
| 141.3 Hz | oblique | (2,6,1) |
| 141.5 Hz | tangential | (6,4,0) |
| 141.5 Hz | oblique | (4,5,1) |
| 141.6 Hz | tangential | (7,2,0) |
| 142 Hz | tangential | (1,7,0) |
| 143.4 Hz | tangential | (4,6,0) |
| 143.7 Hz | oblique | (3,2,2) |
| 144.1 Hz | oblique | (2,3,2) |
| 145.2 Hz | oblique | (6,3,1) |
| 145.9 Hz | tangential | (2,7,0) |
| 147.2 Hz | tangential | (4,0,2) |
| 147.8 Hz | oblique | (3,6,1) |
| 148.5 Hz | oblique | (4,1,2) |
| 148.6 Hz | tangential | (0,4,2) |
| 148.6 Hz | tangential | (7,3,0) |
| 149.5 Hz | tangential | (7,0,1) |
| 149.9 Hz | oblique | (1,4,2) |
| 150.5 Hz | oblique | (3,3,2) |
| 150.9 Hz | oblique | (7,1,1) |
| 152.2 Hz | tangential | (3,7,0) |
| 152.6 Hz | oblique | (4,2,2) |
| 153 Hz | oblique | (5,5,1) |
| 153.6 Hz | oblique | (2,4,2) |
| 153.8 Hz | tangential | (6,5,0) |
| 153.9 Hz | tangential | (0,7,1) |
| 154.7 Hz | oblique | (6,4,1) |
| 154.8 Hz | tangential | (5,6,0) |
| 154.8 Hz | oblique | (7,2,1) |
| 155.2 Hz | axial | (8,0,0) |
| 155.2 Hz | oblique | (1,7,1) |
| 156.4 Hz | oblique | (4,6,1) |
| 156.5 Hz | tangential | (8,1,0) |
| 157.8 Hz | tangential | (7,4,0) |
| 158.3 Hz | tangential | (5,0,2) |
| 158.7 Hz | oblique | (2,7,1) |
| 159 Hz | oblique | (4,3,2) |
| 159.5 Hz | oblique | (5,1,2) |
| 159.6 Hz | oblique | (3,4,2) |
| 160.3 Hz | tangential | (8,2,0) |
| 160.4 Hz | tangential | (0,5,2) |
| 160.7 Hz | tangential | (4,7,0) |
| 160.8 Hz | axial | (0,8,0) |
| 161.2 Hz | oblique | (7,3,1) |
| 161.6 Hz | oblique | (1,5,2) |
| 161.9 Hz | tangential | (1,8,0) |
| 163.3 Hz | oblique | (5,2,2) |
| 164.6 Hz | oblique | (3,7,1) |
| 165 Hz | oblique | (2,5,2) |
| 165.4 Hz | tangential | (2,8,0) |
| 166 Hz | oblique | (6,5,1) |
| 166.5 Hz | tangential | (8,3,0) |
| 166.9 Hz | oblique | (5,6,1) |
| 167.3 Hz | tangential | (8,0,1) |
| 167.6 Hz | tangential | (6,6,0) |
| 167.7 Hz | oblique | (4,4,2) |
| 168.5 Hz | oblique | (8,1,1) |
| 168.9 Hz | tangential | (7,5,0) |
| 169.4 Hz | oblique | (5,3,2) |
| 169.8 Hz | oblique | (7,4,1) |
| 170.6 Hz | oblique | (3,5,2) |
| 170.8 Hz | tangential | (6,0,2) |
| 170.9 Hz | tangential | (5,7,0) |
| 171 Hz | tangential | (3,8,0) |
| 172 Hz | oblique | (6,1,2) |
| 172.1 Hz | oblique | (8,2,1) |
| 172.4 Hz | oblique | (4,7,1) |
| 172.5 Hz | tangential | (0,8,1) |
| 173.6 Hz | oblique | (1,8,1) |
| 173.7 Hz | tangential | (0,6,2) |
| 174.6 Hz | axial | (9,0,0) |
| 174.8 Hz | tangential | (8,4,0) |
| 174.8 Hz | oblique | (1,6,2) |
| 175.5 Hz | oblique | (6,2,2) |
| 175.8 Hz | tangential | (9,1,0) |
| 176.8 Hz | oblique | (2,8,1) |
| 177.5 Hz | oblique | (5,4,2) |
| 177.9 Hz | oblique | (8,3,1) |
| 178 Hz | oblique | (2,6,2) |
| 178.2 Hz | oblique | (4,5,2) |
| 178.5 Hz | tangential | (4,8,0) |
| 178.9 Hz | oblique | (6,6,1) |
| 179.2 Hz | tangential | (9,2,0) |
| 180.1 Hz | oblique | (7,5,1) |
| 180.9 Hz | axial | (0,9,0) |
| 181.2 Hz | oblique | (6,3,2) |
| 181.6 Hz | tangential | (7,6,0) |
| 181.9 Hz | tangential | (1,9,0) |
| 182 Hz | oblique | (3,8,1) |
| 182 Hz | oblique | (5,7,1) |
| 182.6 Hz | tangential | (6,7,0) |
| 183.2 Hz | oblique | (3,6,2) |
| 184.6 Hz | tangential | (7,0,2) |
| 184.7 Hz | tangential | (9,3,0) |
| 184.9 Hz | tangential | (8,5,0) |
| 185 Hz | tangential | (2,9,0) |
| 185.5 Hz | tangential | (9,0,1) |
| 185.6 Hz | oblique | (8,4,1) |
| 185.7 Hz | oblique | (7,1,2) |
| 186.6 Hz | oblique | (9,1,1) |
| 187.5 Hz | oblique | (5,5,2) |
| 187.6 Hz | axial | (0,0,3) |
| 187.8 Hz | tangential | (5,8,0) |
| 188.2 Hz | tangential | (0,7,2) |
| 188.6 Hz | tangential | (0,1,3) |
| 188.6 Hz | tangential | (1,0,3) |
| 188.8 Hz | oblique | (6,4,2) |
| 188.9 Hz | oblique | (7,2,2) |
| 189.1 Hz | oblique | (4,8,1) |
| 189.2 Hz | oblique | (1,7,2) |
| 189.6 Hz | oblique | (1,1,3) |
| 189.8 Hz | oblique | (9,2,1) |
| 190 Hz | tangential | (3,9,0) |
| 190.2 Hz | oblique | (4,6,2) |
| 191.4 Hz | tangential | (0,9,1) |
| 191.5 Hz | tangential | (2,0,3) |
| 191.8 Hz | tangential | (0,2,3) |
| 192.1 Hz | oblique | (7,6,1) |
| 192.2 Hz | tangential | (9,4,0) |
| 192.2 Hz | oblique | (2,7,2) |
| 192.3 Hz | oblique | (1,9,1) |
| 192.6 Hz | oblique | (2,1,3) |
| 192.8 Hz | oblique | (1,2,3) |
| 193 Hz | oblique | (6,7,1) |
| 194 Hz | axial | (10,0,0) |
| 194.2 Hz | oblique | (7,3,2) |
| 195 Hz | oblique | (9,3,1) |
| 195.1 Hz | tangential | (10,1,0) |
| 195.2 Hz | oblique | (8,5,1) |
| 195.3 Hz | oblique | (2,9,1) |
| 195.5 Hz | tangential | (7,7,0) |
| 195.7 Hz | oblique | (2,2,3) |
| 196.4 Hz | tangential | (3,0,3) |
| 196.5 Hz | tangential | (8,6,0) |
| 196.8 Hz | tangential | (4,9,0) |
| 197 Hz | tangential | (0,3,3) |
| 197 Hz | oblique | (3,7,2) |
| 197.4 Hz | oblique | (3,1,3) |
| 197.9 Hz | oblique | (5,8,1) |
| 198 Hz | oblique | (1,3,3) |
| 198.1 Hz | tangential | (10,2,0) |
| 198.2 Hz | oblique | (6,5,2) |
| 198.5 Hz | tangential | (6,8,0) |
| 199 Hz | oblique | (5,6,2) |
| 199.3 Hz | tangential | (8,0,2) |
| 200 Hz | oblique | (3,9,1) |
Questions about 28x29 rooms
- Is a 28x29 room good for a home theater?
- At 812 sq ft, this size works as a dedicated home theater or media room, but a modal score of 60/100 means it is workable, not effortless: there is a gap of 11.3 Hz between 44.6 Hz and 55.9 Hz with no mode in between, so plan on real bass trapping.
- Where do bass traps go in a 28 by 29 ft room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 25.0 Hz mode itself would need about 11.3 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 25.0 Hz.
- Do I need a big subwoofer for a 28x29 room?
- Room size here mainly shapes where the modes land, not the sub size on its own; this room has 243 modes below 200 Hz to work around either way. Larger rooms like this one ask more of a subwoofer's output, and a second sub in a different spot helps smooth out the peaks and dips across seats.
- Why do some bass notes sound weak in a 28x29 room?
- In this room, the main cause is that there is a gap of 11.3 Hz between 44.6 Hz and 55.9 Hz with no mode in between. Room modes reinforce specific notes more than others no matter how good your speakers are, and that unevenness is what you are hearing.
- How many bass traps does a 28 by 29 ft room need?
- Start by treating the four corners with traps 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. Next, shift your listening position toward 11 ft from the front wall, then confirm progress with an REW sweep under 88 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.