Room Modes in a 28x30 ft Room with a 9 ft Ceiling
A 28 by 30 ft room with a 9 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 52/100, a rough score, worth planning around. The clearest issue is that two of its dimensions reinforce the same note near 187.6 Hz.
Mode spectrum
2 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 (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 18.8 Hz, set by the 30 ft length.
- Your 30 ft length and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
- Your 28 ft width is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
- Between 44.4 Hz and 55.0 Hz there are no modes at all, so notes in that 10.6 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 25, 31.5 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 : 3.33) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
- Below about 86 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
The modes from your 30 ft length and 9 ft ceiling land on top of each other near 187.6 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 : 3.11 : 3.33) 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
- Treat the four floor-to-ceiling corners first; they are common to every mode this room produces, and your ceiling height is part of the problem.
- At 187.6 Hz the quarter wavelength is about 1.5 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.
- Move your listening position off-center along the 30 ft length; roughly 11.4 ft from the front wall (38% back) is a common starting spot before fine-tuning.
- Walk the subwoofer around the front of the room while playing a bass-heavy track and listen from your seat: corner placement is loudest but least even, and a second sub or an off-corner spot often fills in this room’s weak points.
- Once traps are in, measure with REW from the listening position. Focus on frequencies below 86 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.
These numbers assume an empty rectangular 28x30 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: 252 in all, 22 axial, 113 tangential and 117 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) |
| 20.1 Hz | axial | (0,1,0) |
| 27.5 Hz | tangential | (1,1,0) |
| 37.5 Hz | axial | (2,0,0) |
| 40.2 Hz | axial | (0,2,0) |
| 42.6 Hz | tangential | (2,1,0) |
| 44.4 Hz | tangential | (1,2,0) |
| 55 Hz | tangential | (2,2,0) |
| 56.3 Hz | axial | (3,0,0) |
| 59.7 Hz | tangential | (3,1,0) |
| 60.3 Hz | axial | (0,3,0) |
| 62.5 Hz | axial | (0,0,1) |
| 63.1 Hz | tangential | (1,3,0) |
| 65.3 Hz | tangential | (1,0,1) |
| 65.7 Hz | tangential | (0,1,1) |
| 68.3 Hz | oblique | (1,1,1) |
| 69.1 Hz | tangential | (3,2,0) |
| 71 Hz | tangential | (2,3,0) |
| 72.9 Hz | tangential | (2,0,1) |
| 74.3 Hz | tangential | (0,2,1) |
| 75 Hz | axial | (4,0,0) |
| 75.6 Hz | oblique | (2,1,1) |
| 76.7 Hz | oblique | (1,2,1) |
| 77.7 Hz | tangential | (4,1,0) |
| 80.4 Hz | axial | (0,4,0) |
| 82.5 Hz | tangential | (1,4,0) |
| 82.5 Hz | tangential | (3,3,0) |
| 83.3 Hz | oblique | (2,2,1) |
| 84.1 Hz | tangential | (3,0,1) |
| 85.1 Hz | tangential | (4,2,0) |
| 86.5 Hz | oblique | (3,1,1) |
| 86.8 Hz | tangential | (0,3,1) |
| 88.7 Hz | tangential | (2,4,0) |
| 88.9 Hz | oblique | (1,3,1) |
| 93.2 Hz | oblique | (3,2,1) |
| 93.8 Hz | axial | (5,0,0) |
| 94.6 Hz | oblique | (2,3,1) |
| 95.9 Hz | tangential | (5,1,0) |
| 96.2 Hz | tangential | (4,3,0) |
| 97.7 Hz | tangential | (4,0,1) |
| 98.1 Hz | tangential | (3,4,0) |
| 99.7 Hz | oblique | (4,1,1) |
| 100.5 Hz | axial | (0,5,0) |
| 101.8 Hz | tangential | (0,4,1) |
| 102 Hz | tangential | (5,2,0) |
| 102.2 Hz | tangential | (1,5,0) |
| 103.5 Hz | oblique | (1,4,1) |
| 103.5 Hz | oblique | (3,3,1) |
| 105.6 Hz | oblique | (4,2,1) |
| 107.2 Hz | tangential | (2,5,0) |
| 108.5 Hz | oblique | (2,4,1) |
| 110 Hz | tangential | (4,4,0) |
| 111.5 Hz | tangential | (5,3,0) |
| 112.5 Hz | axial | (6,0,0) |
| 112.7 Hz | tangential | (5,0,1) |
| 114.3 Hz | tangential | (6,1,0) |
| 114.5 Hz | oblique | (5,1,1) |
| 114.8 Hz | oblique | (4,3,1) |
| 115.2 Hz | tangential | (3,5,0) |
| 116.3 Hz | oblique | (3,4,1) |
| 118.3 Hz | tangential | (0,5,1) |
| 119.5 Hz | tangential | (6,2,0) |
| 119.7 Hz | oblique | (5,2,1) |
| 119.8 Hz | oblique | (1,5,1) |
| 120.6 Hz | axial | (0,6,0) |
| 122 Hz | tangential | (1,6,0) |
| 123.5 Hz | tangential | (5,4,0) |
| 124.1 Hz | oblique | (2,5,1) |
| 125 Hz | axial | (0,0,2) |
| 125.4 Hz | tangential | (4,5,0) |
| 126.3 Hz | tangential | (2,6,0) |
| 126.4 Hz | tangential | (1,0,2) |
| 126.5 Hz | oblique | (4,4,1) |
| 126.6 Hz | tangential | (0,1,2) |
| 127.7 Hz | tangential | (6,3,0) |
| 127.8 Hz | oblique | (5,3,1) |
| 128 Hz | oblique | (1,1,2) |
| 128.7 Hz | tangential | (6,0,1) |
| 130.3 Hz | oblique | (6,1,1) |
| 130.5 Hz | tangential | (2,0,2) |
| 131 Hz | oblique | (3,5,1) |
| 131.3 Hz | axial | (7,0,0) |
| 131.3 Hz | tangential | (0,2,2) |
| 132.1 Hz | oblique | (2,1,2) |
| 132.7 Hz | oblique | (1,2,2) |
| 132.8 Hz | tangential | (7,1,0) |
| 133.1 Hz | tangential | (3,6,0) |
| 134.9 Hz | oblique | (6,2,1) |
| 135.8 Hz | tangential | (0,6,1) |
| 136.6 Hz | oblique | (2,2,2) |
| 137.1 Hz | tangential | (3,0,2) |
| 137.1 Hz | oblique | (1,6,1) |
| 137.3 Hz | tangential | (7,2,0) |
| 137.4 Hz | tangential | (5,5,0) |
| 138.3 Hz | tangential | (6,4,0) |
| 138.4 Hz | oblique | (5,4,1) |
| 138.6 Hz | oblique | (3,1,2) |
| 138.8 Hz | tangential | (0,3,2) |
| 140.1 Hz | oblique | (1,3,2) |
| 140.1 Hz | oblique | (4,5,1) |
| 140.7 Hz | axial | (0,7,0) |
| 140.9 Hz | oblique | (2,6,1) |
| 141.9 Hz | tangential | (1,7,0) |
| 142 Hz | tangential | (4,6,0) |
| 142.1 Hz | oblique | (6,3,1) |
| 142.9 Hz | oblique | (3,2,2) |
| 143.8 Hz | oblique | (2,3,2) |
| 144.5 Hz | tangential | (7,3,0) |
| 145.4 Hz | tangential | (7,0,1) |
| 145.6 Hz | tangential | (2,7,0) |
| 145.8 Hz | tangential | (4,0,2) |
| 146.8 Hz | oblique | (7,1,1) |
| 147 Hz | oblique | (3,6,1) |
| 147.2 Hz | oblique | (4,1,2) |
| 148.6 Hz | tangential | (0,4,2) |
| 149.8 Hz | oblique | (1,4,2) |
| 149.8 Hz | oblique | (3,3,2) |
| 150 Hz | axial | (8,0,0) |
| 150.9 Hz | tangential | (6,5,0) |
| 150.9 Hz | oblique | (7,2,1) |
| 151 Hz | oblique | (5,5,1) |
| 151.3 Hz | oblique | (4,2,2) |
| 151.4 Hz | tangential | (8,1,0) |
| 151.5 Hz | tangential | (3,7,0) |
| 151.8 Hz | oblique | (6,4,1) |
| 152.7 Hz | tangential | (5,6,0) |
| 153.3 Hz | oblique | (2,4,2) |
| 153.9 Hz | tangential | (0,7,1) |
| 153.9 Hz | tangential | (7,4,0) |
| 155.1 Hz | oblique | (1,7,1) |
| 155.2 Hz | oblique | (4,6,1) |
| 155.3 Hz | tangential | (8,2,0) |
| 156.3 Hz | tangential | (5,0,2) |
| 157.4 Hz | oblique | (7,3,1) |
| 157.6 Hz | oblique | (5,1,2) |
| 157.8 Hz | oblique | (4,3,2) |
| 158.4 Hz | oblique | (2,7,1) |
| 158.9 Hz | oblique | (3,4,2) |
| 159.4 Hz | tangential | (4,7,0) |
| 160.4 Hz | tangential | (0,5,2) |
| 160.8 Hz | axial | (0,8,0) |
| 161.4 Hz | oblique | (5,2,2) |
| 161.5 Hz | oblique | (1,5,2) |
| 161.7 Hz | tangential | (8,3,0) |
| 161.9 Hz | tangential | (1,8,0) |
| 162.5 Hz | tangential | (8,0,1) |
| 163.3 Hz | oblique | (6,5,1) |
| 163.8 Hz | oblique | (8,1,1) |
| 163.9 Hz | oblique | (3,7,1) |
| 164.7 Hz | oblique | (2,5,2) |
| 164.9 Hz | tangential | (6,6,0) |
| 165 Hz | oblique | (5,6,1) |
| 165.1 Hz | tangential | (2,8,0) |
| 165.3 Hz | tangential | (7,5,0) |
| 166.2 Hz | oblique | (7,4,1) |
| 166.5 Hz | oblique | (4,4,2) |
| 167.4 Hz | oblique | (8,2,1) |
| 167.5 Hz | oblique | (5,3,2) |
| 168.2 Hz | tangential | (6,0,2) |
| 168.8 Hz | axial | (9,0,0) |
| 169.1 Hz | tangential | (5,7,0) |
| 169.4 Hz | oblique | (6,1,2) |
| 170 Hz | tangential | (9,1,0) |
| 170 Hz | oblique | (3,5,2) |
| 170.2 Hz | tangential | (8,4,0) |
| 170.3 Hz | tangential | (3,8,0) |
| 171.2 Hz | oblique | (4,7,1) |
| 172.5 Hz | tangential | (0,8,1) |
| 173 Hz | oblique | (6,2,2) |
| 173.4 Hz | oblique | (8,3,1) |
| 173.5 Hz | tangential | (9,2,0) |
| 173.5 Hz | oblique | (1,8,1) |
| 173.7 Hz | tangential | (0,6,2) |
| 174.7 Hz | oblique | (1,6,2) |
| 175.8 Hz | oblique | (5,4,2) |
| 176.4 Hz | oblique | (6,6,1) |
| 176.5 Hz | oblique | (2,8,1) |
| 176.7 Hz | oblique | (7,5,1) |
| 177.1 Hz | oblique | (4,5,2) |
| 177.4 Hz | tangential | (4,8,0) |
| 177.7 Hz | oblique | (2,6,2) |
| 178.3 Hz | tangential | (7,6,0) |
| 178.7 Hz | oblique | (6,3,2) |
| 179.2 Hz | tangential | (9,3,0) |
| 180 Hz | tangential | (9,0,1) |
| 180.1 Hz | tangential | (6,7,0) |
| 180.2 Hz | oblique | (5,7,1) |
| 180.6 Hz | tangential | (8,5,0) |
| 180.9 Hz | axial | (0,9,0) |
| 181.1 Hz | oblique | (9,1,1) |
| 181.3 Hz | tangential | (7,0,2) |
| 181.3 Hz | oblique | (8,4,1) |
| 181.4 Hz | oblique | (3,8,1) |
| 181.8 Hz | tangential | (1,9,0) |
| 182.4 Hz | oblique | (7,1,2) |
| 182.6 Hz | oblique | (3,6,2) |
| 184.4 Hz | oblique | (9,2,1) |
| 184.7 Hz | tangential | (2,9,0) |
| 185.7 Hz | oblique | (7,2,2) |
| 185.8 Hz | oblique | (5,5,2) |
| 186.1 Hz | tangential | (5,8,0) |
| 186.4 Hz | oblique | (6,4,2) |
| 187 Hz | tangential | (9,4,0) |
| 187.6 Hz | axial | (0,0,3) |
| 187.6 Hz | axial | (10,0,0) |
| 188.1 Hz | oblique | (4,8,1) |
| 188.2 Hz | tangential | (0,7,2) |
| 188.5 Hz | tangential | (1,0,3) |
| 188.6 Hz | tangential | (0,1,3) |
| 188.6 Hz | tangential | (10,1,0) |
| 188.9 Hz | oblique | (7,6,1) |
| 189.1 Hz | oblique | (1,7,2) |
| 189.2 Hz | oblique | (4,6,2) |
| 189.4 Hz | tangential | (3,9,0) |
| 189.6 Hz | oblique | (1,1,3) |
| 189.8 Hz | oblique | (9,3,1) |
| 190.7 Hz | oblique | (6,7,1) |
| 191.1 Hz | oblique | (7,3,2) |
| 191.1 Hz | oblique | (8,5,1) |
| 191.3 Hz | tangential | (2,0,3) |
| 191.4 Hz | tangential | (0,9,1) |
| 191.8 Hz | tangential | (0,2,3) |
| 191.8 Hz | tangential | (10,2,0) |
| 191.9 Hz | oblique | (2,7,2) |
| 192.3 Hz | oblique | (1,9,1) |
| 192.3 Hz | oblique | (2,1,3) |
| 192.4 Hz | tangential | (7,7,0) |
| 192.5 Hz | tangential | (8,6,0) |
| 192.7 Hz | oblique | (1,2,3) |
| 195 Hz | oblique | (2,9,1) |
| 195.3 Hz | tangential | (8,0,2) |
| 195.4 Hz | oblique | (2,2,3) |
| 195.8 Hz | tangential | (3,0,3) |
| 195.8 Hz | tangential | (4,9,0) |
| 195.9 Hz | oblique | (6,5,2) |
| 196.2 Hz | tangential | (6,8,0) |
| 196.3 Hz | oblique | (5,8,1) |
| 196.3 Hz | oblique | (8,1,2) |
| 196.4 Hz | tangential | (9,5,0) |
| 196.4 Hz | oblique | (3,7,2) |
| 196.8 Hz | oblique | (3,1,3) |
| 197 Hz | tangential | (0,3,3) |
| 197 Hz | tangential | (10,3,0) |
| 197.1 Hz | oblique | (9,4,1) |
| 197.4 Hz | oblique | (5,6,2) |
| 197.7 Hz | tangential | (10,0,1) |
| 197.9 Hz | oblique | (1,3,3) |
| 198.3 Hz | oblique | (7,4,2) |
| 198.7 Hz | oblique | (10,1,1) |
| 199.4 Hz | oblique | (8,2,2) |
| 199.5 Hz | oblique | (3,9,1) |
| 199.9 Hz | oblique | (3,2,3) |
Questions about 28x30 rooms
- Is a 28 by 30 ft room good for a music room or home theater?
- It can work as a dedicated home theater or media room, but do not expect an easy ride: this room scores 52/100 because two of its dimensions reinforce the same note near 187.6 Hz. Treatment will make a real difference here.
- What is the best corner for bass traps in a 28x30 room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 187.6 Hz mode itself would need about 1.5 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 187.6 Hz.
- What size subwoofer does a 28x30 room need?
- Subwoofer size is less about this room's 840 sq ft and more about the output headroom you want; room size mainly changes where the 252 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 is bass boomy in one spot in a 28 by 30 ft room?
- Here it comes down to this: two of its dimensions reinforce the same note near 187.6 Hz. 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 a 28x30 room?
- Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 187.6 Hz, since that note's own quarter wavelength (about 1.5 ft) is too deep for any panel. After that, reposition your seat near 11.4 ft from the front wall and verify with REW below 86 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.