Room Modes in a 15x23 ft Room with a 9 ft Ceiling
At 15 by 23 ft with a 9 ft ceiling, this room works well as a dedicated home theater or media room. Its first room mode, the lowest note the walls naturally reinforce, falls at 24.5 Hz, set by the 23 ft length.
That puts its modal score at 40 out of 100, a rough score, worth planning around. The main thing to plan around: two of its dimensions reinforce the same note near 73.4 Hz.
Mode spectrum
6 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 (23 ft) | 24.5 Hz | 48.9 Hz | 73.4 Hz | 97.9 Hz |
| Width (15 ft) | 37.5 Hz | 75 Hz | 112.5 Hz | 150 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 24.5 Hz, set by the 23 ft length.
- Your 23 ft length and 15 ft width both resonate near 73.4 and 146.8 Hz, so bass at those notes will be much louder than its neighbours.
- Your 23 ft length and 9 ft ceiling height both resonate near 122.3 Hz, so bass at that note will be much louder than its neighbours.
- Your 15 ft width and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
- Between 24.5 Hz and 37.5 Hz there are no modes at all, so notes in that 13.0 Hz gap will sound thinner than the bass around them.
- Mode density drops in the 31.5 Hz third-octave band (0 modes against 1 in the band below), so bass will sound uneven from note to note.
- The proportions (1 : 1.67 : 2.56) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
- Below about 135 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
Your 23 ft length and 15 ft width share a mode near 73.4 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.
Height, width and length work out to 1 : 1.67 : 2.56, which lands inside the Bolt area. Rooms with that proportion usually need less correction than a room shaped like a cube or a hallway.
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 73.4 Hz the quarter wavelength is about 3.8 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 23 ft length for your seat or mix position; try around 8.7 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 135 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 15x23 room with hard walls. Draw your real room, add furniture and speakers, and simulate the bass at your seat.
Every mode below 200 Hz
This room has 112 modes below 200 Hz, 16 axial, 53 tangential and 43 oblique. Read the axial rows as the ones you will hear most clearly. Tangential and oblique modes add texture but usually only become audible when they land close to an axial mode.
| Frequency | Type | Mode (length, width, height) |
|---|---|---|
| 24.5 Hz | axial | (1,0,0) |
| 37.5 Hz | axial | (0,1,0) |
| 44.8 Hz | tangential | (1,1,0) |
| 48.9 Hz | axial | (2,0,0) |
| 61.7 Hz | tangential | (2,1,0) |
| 62.5 Hz | axial | (0,0,1) |
| 67.1 Hz | tangential | (1,0,1) |
| 72.9 Hz | tangential | (0,1,1) |
| 73.4 Hz | axial | (3,0,0) |
| 75 Hz | axial | (0,2,0) |
| 76.9 Hz | oblique | (1,1,1) |
| 78.9 Hz | tangential | (1,2,0) |
| 79.4 Hz | tangential | (2,0,1) |
| 82.4 Hz | tangential | (3,1,0) |
| 87.8 Hz | oblique | (2,1,1) |
| 89.6 Hz | tangential | (2,2,0) |
| 96.4 Hz | tangential | (3,0,1) |
| 97.7 Hz | tangential | (0,2,1) |
| 97.9 Hz | axial | (4,0,0) |
| 100.7 Hz | oblique | (1,2,1) |
| 103.4 Hz | oblique | (3,1,1) |
| 104.8 Hz | tangential | (4,1,0) |
| 105 Hz | tangential | (3,2,0) |
| 109.2 Hz | oblique | (2,2,1) |
| 112.5 Hz | axial | (0,3,0) |
| 115.2 Hz | tangential | (1,3,0) |
| 116.1 Hz | tangential | (4,0,1) |
| 122 Hz | oblique | (4,1,1) |
| 122.2 Hz | oblique | (3,2,1) |
| 122.3 Hz | axial | (5,0,0) |
| 122.7 Hz | tangential | (2,3,0) |
| 123.3 Hz | tangential | (4,2,0) |
| 125 Hz | axial | (0,0,2) |
| 127.4 Hz | tangential | (1,0,2) |
| 127.9 Hz | tangential | (5,1,0) |
| 128.7 Hz | tangential | (0,3,1) |
| 130.5 Hz | tangential | (0,1,2) |
| 131 Hz | oblique | (1,3,1) |
| 132.8 Hz | oblique | (1,1,2) |
| 134.3 Hz | tangential | (2,0,2) |
| 134.3 Hz | tangential | (3,3,0) |
| 137.4 Hz | tangential | (5,0,1) |
| 137.7 Hz | oblique | (2,3,1) |
| 138.2 Hz | oblique | (4,2,1) |
| 139.4 Hz | oblique | (2,1,2) |
| 142.4 Hz | oblique | (5,1,1) |
| 143.5 Hz | tangential | (5,2,0) |
| 145 Hz | tangential | (3,0,2) |
| 145.8 Hz | tangential | (0,2,2) |
| 146.8 Hz | axial | (6,0,0) |
| 147.9 Hz | oblique | (1,2,2) |
| 148.2 Hz | oblique | (3,3,1) |
| 149.1 Hz | tangential | (4,3,0) |
| 149.8 Hz | oblique | (3,1,2) |
| 150 Hz | axial | (0,4,0) |
| 151.5 Hz | tangential | (6,1,0) |
| 152 Hz | tangential | (1,4,0) |
| 153.8 Hz | oblique | (2,2,2) |
| 156.5 Hz | oblique | (5,2,1) |
| 157.8 Hz | tangential | (2,4,0) |
| 158.8 Hz | tangential | (4,0,2) |
| 159.5 Hz | tangential | (6,0,1) |
| 161.7 Hz | oblique | (4,3,1) |
| 162.5 Hz | tangential | (0,4,1) |
| 163.1 Hz | oblique | (4,1,2) |
| 163.2 Hz | oblique | (3,2,2) |
| 163.9 Hz | oblique | (6,1,1) |
| 164.4 Hz | oblique | (1,4,1) |
| 164.8 Hz | tangential | (6,2,0) |
| 166.2 Hz | tangential | (5,3,0) |
| 167 Hz | tangential | (3,4,0) |
| 168.2 Hz | tangential | (0,3,2) |
| 169.8 Hz | oblique | (2,4,1) |
| 170 Hz | oblique | (1,3,2) |
| 171.2 Hz | axial | (7,0,0) |
| 174.9 Hz | tangential | (5,0,2) |
| 175.2 Hz | oblique | (2,3,2) |
| 175.3 Hz | tangential | (7,1,0) |
| 175.6 Hz | oblique | (4,2,2) |
| 176.3 Hz | oblique | (6,2,1) |
| 177.6 Hz | oblique | (5,3,1) |
| 178.3 Hz | oblique | (3,4,1) |
| 178.9 Hz | oblique | (5,1,2) |
| 179.1 Hz | tangential | (4,4,0) |
| 182.3 Hz | tangential | (7,0,1) |
| 183.5 Hz | oblique | (3,3,2) |
| 185 Hz | tangential | (6,3,0) |
| 186.1 Hz | oblique | (7,1,1) |
| 187 Hz | tangential | (7,2,0) |
| 187.6 Hz | axial | (0,0,3) |
| 187.6 Hz | axial | (0,5,0) |
| 189.1 Hz | tangential | (1,0,3) |
| 189.1 Hz | tangential | (1,5,0) |
| 189.7 Hz | oblique | (4,4,1) |
| 190.3 Hz | oblique | (5,2,2) |
| 191.3 Hz | tangential | (0,1,3) |
| 192.8 Hz | tangential | (6,0,2) |
| 192.8 Hz | oblique | (1,1,3) |
| 193.6 Hz | tangential | (5,4,0) |
| 193.8 Hz | tangential | (2,0,3) |
| 193.8 Hz | tangential | (2,5,0) |
| 194.6 Hz | oblique | (4,3,2) |
| 195.2 Hz | oblique | (6,3,1) |
| 195.3 Hz | tangential | (0,4,2) |
| 195.7 Hz | axial | (8,0,0) |
| 196.4 Hz | oblique | (6,1,2) |
| 196.8 Hz | oblique | (1,4,2) |
| 197.1 Hz | oblique | (7,2,1) |
| 197.4 Hz | oblique | (2,1,3) |
| 197.7 Hz | tangential | (0,5,1) |
| 199.2 Hz | oblique | (1,5,1) |
| 199.3 Hz | tangential | (8,1,0) |
Questions about 15x23 rooms
- Is a 15 by 23 ft room good for a music room or home theater?
- This size is workable for a dedicated home theater or media room, but its modal score of 40/100 is low, driven by the fact that two of its dimensions reinforce the same note near 73.4 Hz. Go in expecting a serious treatment plan.
- What is the best corner for bass traps in a 15x23 room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 73.4 Hz mode itself would need about 3.8 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 73.4 Hz.
- What size subwoofer does a 15x23 room need?
- Subwoofer size is less about this room's 345 sq ft and more about the output headroom you want; room size mainly changes where the 112 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 23 ft room?
- Here it comes down to this: two of its dimensions reinforce the same note near 73.4 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 15x23 room?
- Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 73.4 Hz, since that note's own quarter wavelength (about 3.8 ft) is too deep for any panel. After that, reposition your seat near 8.7 ft from the front wall and verify with REW below 135 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.