Room Modes in a 15x28 ft Room with a 10 ft Ceiling
A 15 by 28 ft room with a 10 ft ceiling suits a dedicated home theater or media room. Its lowest room mode sits at 20.1 Hz, set by the 28 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 50/100, a rough score, worth planning around. The clearest issue is that two of its dimensions reinforce the same note near 112.5 Hz.
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 (28 ft) | 20.1 Hz | 40.2 Hz | 60.3 Hz | 80.4 Hz |
| Width (15 ft) | 37.5 Hz | 75 Hz | 112.5 Hz | 150 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 20.1 Hz, set by the 28 ft length.
- Your 15 ft width and 10 ft ceiling height both resonate at 112.5 Hz, so bass at that note will be much louder than its neighbours.
- Between 20.1 Hz and 37.5 Hz there are no modes at all, so notes in that 17.4 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 : 1.50 : 2.80) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
- Below about 116 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
Your 15 ft width and 10 ft ceiling share a mode near 112.5 Hz. When two dimensions resonate at the same note, their boosts add up, so that note stacks on top of itself and comes out noticeably louder than the bass around it.
If you use this room for movies, that stacked note tends to show up as boom on specific low-frequency effects rather than an even rumble. If it is a music or mixing room, that same spot makes some bass notes read louder on playback than they actually are on the recording, which makes mixing bass by ear risky here.
This room's ratio (1 : 1.50 : 2.80) is outside the Bolt area: the room is long and narrow for its height, which bunches modes up along the length. Treatment can still get it sounding good, but the shape is not helping as much as it could.
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.
- Full absorption at 112.5 Hz would take about 2.5 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 28 ft length for your seat or mix position; try around 10.6 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 116 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 15x28 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 148 modes this room produces under 200 Hz: 17 axial, 68 tangential, 63 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) |
| 37.5 Hz | axial | (0,1,0) |
| 40.2 Hz | axial | (2,0,0) |
| 42.6 Hz | tangential | (1,1,0) |
| 55 Hz | tangential | (2,1,0) |
| 56.3 Hz | axial | (0,0,1) |
| 59.7 Hz | tangential | (1,0,1) |
| 60.3 Hz | axial | (3,0,0) |
| 67.6 Hz | tangential | (0,1,1) |
| 69.1 Hz | tangential | (2,0,1) |
| 70.5 Hz | oblique | (1,1,1) |
| 71 Hz | tangential | (3,1,0) |
| 75 Hz | axial | (0,2,0) |
| 77.7 Hz | tangential | (1,2,0) |
| 78.7 Hz | oblique | (2,1,1) |
| 80.4 Hz | axial | (4,0,0) |
| 82.5 Hz | tangential | (3,0,1) |
| 85.1 Hz | tangential | (2,2,0) |
| 88.7 Hz | tangential | (4,1,0) |
| 90.6 Hz | oblique | (3,1,1) |
| 93.8 Hz | tangential | (0,2,1) |
| 95.9 Hz | oblique | (1,2,1) |
| 96.2 Hz | tangential | (3,2,0) |
| 98.1 Hz | tangential | (4,0,1) |
| 100.5 Hz | axial | (5,0,0) |
| 102 Hz | oblique | (2,2,1) |
| 105 Hz | oblique | (4,1,1) |
| 107.2 Hz | tangential | (5,1,0) |
| 110 Hz | tangential | (4,2,0) |
| 111.5 Hz | oblique | (3,2,1) |
| 112.5 Hz | axial | (0,0,2) |
| 112.5 Hz | axial | (0,3,0) |
| 114.3 Hz | tangential | (1,0,2) |
| 114.3 Hz | tangential | (1,3,0) |
| 115.2 Hz | tangential | (5,0,1) |
| 118.6 Hz | tangential | (0,1,2) |
| 119.5 Hz | tangential | (2,0,2) |
| 119.5 Hz | tangential | (2,3,0) |
| 120.3 Hz | oblique | (1,1,2) |
| 120.6 Hz | axial | (6,0,0) |
| 121.1 Hz | oblique | (5,1,1) |
| 123.5 Hz | oblique | (4,2,1) |
| 125.2 Hz | oblique | (2,1,2) |
| 125.4 Hz | tangential | (5,2,0) |
| 125.8 Hz | tangential | (0,3,1) |
| 126.3 Hz | tangential | (6,1,0) |
| 127.4 Hz | oblique | (1,3,1) |
| 127.7 Hz | tangential | (3,0,2) |
| 127.7 Hz | tangential | (3,3,0) |
| 132.1 Hz | oblique | (2,3,1) |
| 133.1 Hz | tangential | (6,0,1) |
| 133.1 Hz | oblique | (3,1,2) |
| 135.2 Hz | tangential | (0,2,2) |
| 136.7 Hz | oblique | (1,2,2) |
| 137.4 Hz | oblique | (5,2,1) |
| 138.2 Hz | oblique | (6,1,1) |
| 138.3 Hz | tangential | (4,0,2) |
| 138.3 Hz | tangential | (4,3,0) |
| 139.5 Hz | oblique | (3,3,1) |
| 140.7 Hz | axial | (7,0,0) |
| 141.1 Hz | oblique | (2,2,2) |
| 142 Hz | tangential | (6,2,0) |
| 143.3 Hz | oblique | (4,1,2) |
| 145.6 Hz | tangential | (7,1,0) |
| 148.1 Hz | oblique | (3,2,2) |
| 149.3 Hz | oblique | (4,3,1) |
| 150 Hz | axial | (0,4,0) |
| 150.9 Hz | tangential | (5,0,2) |
| 150.9 Hz | tangential | (5,3,0) |
| 151.4 Hz | tangential | (1,4,0) |
| 151.5 Hz | tangential | (7,0,1) |
| 152.7 Hz | oblique | (6,2,1) |
| 155.3 Hz | tangential | (2,4,0) |
| 155.5 Hz | oblique | (5,1,2) |
| 156.1 Hz | oblique | (7,1,1) |
| 157.3 Hz | oblique | (4,2,2) |
| 159.1 Hz | tangential | (0,3,2) |
| 159.4 Hz | tangential | (7,2,0) |
| 160.2 Hz | tangential | (0,4,1) |
| 160.4 Hz | oblique | (1,3,2) |
| 160.8 Hz | axial | (8,0,0) |
| 161 Hz | oblique | (5,3,1) |
| 161.5 Hz | oblique | (1,4,1) |
| 161.7 Hz | tangential | (3,4,0) |
| 164.1 Hz | oblique | (2,3,2) |
| 164.9 Hz | tangential | (6,0,2) |
| 164.9 Hz | tangential | (6,3,0) |
| 165.1 Hz | tangential | (8,1,0) |
| 165.2 Hz | oblique | (2,4,1) |
| 168.5 Hz | oblique | (5,2,2) |
| 168.8 Hz | axial | (0,0,3) |
| 169.1 Hz | oblique | (6,1,2) |
| 169.1 Hz | oblique | (7,2,1) |
| 170 Hz | tangential | (1,0,3) |
| 170.2 Hz | tangential | (4,4,0) |
| 170.2 Hz | oblique | (3,3,2) |
| 170.3 Hz | tangential | (8,0,1) |
| 171.2 Hz | oblique | (3,4,1) |
| 172.9 Hz | tangential | (0,1,3) |
| 173.5 Hz | tangential | (2,0,3) |
| 174.1 Hz | oblique | (1,1,3) |
| 174.3 Hz | oblique | (6,3,1) |
| 174.4 Hz | oblique | (8,1,1) |
| 177.4 Hz | tangential | (8,2,0) |
| 177.5 Hz | oblique | (2,1,3) |
| 178.3 Hz | oblique | (4,3,2) |
| 179.2 Hz | tangential | (3,0,3) |
| 179.3 Hz | oblique | (4,4,1) |
| 180.1 Hz | tangential | (7,0,2) |
| 180.1 Hz | tangential | (7,3,0) |
| 180.6 Hz | tangential | (5,4,0) |
| 180.9 Hz | axial | (9,0,0) |
| 181.2 Hz | oblique | (6,2,2) |
| 183.1 Hz | oblique | (3,1,3) |
| 184 Hz | oblique | (7,1,2) |
| 184.7 Hz | tangential | (0,2,3) |
| 184.7 Hz | tangential | (9,1,0) |
| 185.8 Hz | oblique | (1,2,3) |
| 186.1 Hz | oblique | (8,2,1) |
| 187 Hz | tangential | (4,0,3) |
| 187.6 Hz | axial | (0,5,0) |
| 187.6 Hz | tangential | (0,4,2) |
| 188.2 Hz | oblique | (5,3,2) |
| 188.6 Hz | tangential | (1,5,0) |
| 188.6 Hz | oblique | (1,4,2) |
| 188.7 Hz | oblique | (7,3,1) |
| 189 Hz | oblique | (2,2,3) |
| 189.1 Hz | oblique | (5,4,1) |
| 189.4 Hz | tangential | (9,0,1) |
| 190.7 Hz | oblique | (4,1,3) |
| 191.8 Hz | tangential | (2,5,0) |
| 191.8 Hz | oblique | (2,4,2) |
| 192.5 Hz | tangential | (6,4,0) |
| 193.1 Hz | oblique | (9,1,1) |
| 194.3 Hz | oblique | (3,2,3) |
| 195.1 Hz | oblique | (7,2,2) |
| 195.8 Hz | tangential | (0,5,1) |
| 195.8 Hz | tangential | (9,2,0) |
| 196.2 Hz | tangential | (8,0,2) |
| 196.2 Hz | tangential | (8,3,0) |
| 196.4 Hz | tangential | (5,0,3) |
| 196.8 Hz | oblique | (1,5,1) |
| 197 Hz | tangential | (3,5,0) |
| 197 Hz | oblique | (3,4,2) |
| 199.7 Hz | oblique | (6,3,2) |
| 199.8 Hz | oblique | (8,1,2) |
| 199.9 Hz | oblique | (2,5,1) |
| 200 Hz | oblique | (5,1,3) |
Questions about 15x28 rooms
- Is a 15 by 28 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 50/100 because two of its dimensions reinforce the same note near 112.5 Hz. Treatment will make a real difference here.
- What is the best corner for bass traps in a 15x28 room?
- The four vertical corners first. Full absorption at 112.5 Hz would take roughly 2.5 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 a 15x28 room need?
- Subwoofer size is less about this room's 420 sq ft and more about the output headroom you want; room size mainly changes where the 148 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 15 by 28 ft room?
- Here it comes down to this: two of its dimensions reinforce the same note near 112.5 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 15x28 room?
- Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 112.5 Hz, since that note's own quarter wavelength (about 2.5 ft) is too deep for any panel. After that, reposition your seat near 10.6 ft from the front wall and verify with REW below 116 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.