Room Modes in a 23x26 ft Room with a 9 ft Ceiling
At 23 by 26 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 21.6 Hz, set by the 26 ft length.
That puts its modal score at 58 out of 100, a rough score, worth planning around. The main thing to plan around: two of its dimensions reinforce the same note near 122.3 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 (26 ft) | 21.6 Hz | 43.3 Hz | 64.9 Hz | 86.6 Hz |
| Width (23 ft) | 24.5 Hz | 48.9 Hz | 73.4 Hz | 97.9 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 21.6 Hz, set by the 26 ft length.
- Your 26 ft length and 23 ft width both resonate near 171.2 and 194.8 Hz, so bass at those notes will be much louder than its neighbours.
- Your 26 ft length is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
- Your 23 ft width and 9 ft ceiling height both resonate near 122.3 Hz, so bass at that note will be much louder than its neighbours.
- Between 32.7 Hz and 43.3 Hz there are no modes at all, so notes in that 10.6 Hz gap will sound thinner than the bass around them.
- The proportions (1 : 2.56 : 2.89) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
- Below about 102 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
Your 23 ft width and 9 ft ceiling share a mode near 122.3 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 : 2.56 : 2.89, 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
- 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.
- At 122.3 Hz the quarter wavelength is about 2.3 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.
- Do not sit dead-center on the 26 ft length. Start near 9.9 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 102 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 23x26 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 184 modes below 200 Hz, 20 axial, 84 tangential and 80 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) |
|---|---|---|
| 21.6 Hz | axial | (1,0,0) |
| 24.5 Hz | axial | (0,1,0) |
| 32.7 Hz | tangential | (1,1,0) |
| 43.3 Hz | axial | (2,0,0) |
| 48.9 Hz | axial | (0,2,0) |
| 49.7 Hz | tangential | (2,1,0) |
| 53.5 Hz | tangential | (1,2,0) |
| 62.5 Hz | axial | (0,0,1) |
| 64.9 Hz | axial | (3,0,0) |
| 65.3 Hz | tangential | (2,2,0) |
| 66.2 Hz | tangential | (1,0,1) |
| 67.1 Hz | tangential | (0,1,1) |
| 69.4 Hz | tangential | (3,1,0) |
| 70.5 Hz | oblique | (1,1,1) |
| 73.4 Hz | axial | (0,3,0) |
| 76 Hz | tangential | (2,0,1) |
| 76.5 Hz | tangential | (1,3,0) |
| 79.4 Hz | tangential | (0,2,1) |
| 79.9 Hz | oblique | (2,1,1) |
| 81.3 Hz | tangential | (3,2,0) |
| 82.3 Hz | oblique | (1,2,1) |
| 85.2 Hz | tangential | (2,3,0) |
| 86.6 Hz | axial | (4,0,0) |
| 90 Hz | tangential | (4,1,0) |
| 90.1 Hz | tangential | (3,0,1) |
| 90.4 Hz | oblique | (2,2,1) |
| 93.4 Hz | oblique | (3,1,1) |
| 96.4 Hz | tangential | (0,3,1) |
| 97.9 Hz | axial | (0,4,0) |
| 98 Hz | tangential | (3,3,0) |
| 98.8 Hz | oblique | (1,3,1) |
| 99.4 Hz | tangential | (4,2,0) |
| 100.2 Hz | tangential | (1,4,0) |
| 102.6 Hz | oblique | (3,2,1) |
| 105.7 Hz | oblique | (2,3,1) |
| 106.8 Hz | tangential | (4,0,1) |
| 107 Hz | tangential | (2,4,0) |
| 108.2 Hz | axial | (5,0,0) |
| 109.5 Hz | oblique | (4,1,1) |
| 110.9 Hz | tangential | (5,1,0) |
| 113.5 Hz | tangential | (4,3,0) |
| 116.1 Hz | tangential | (0,4,1) |
| 116.2 Hz | oblique | (3,3,1) |
| 117.4 Hz | tangential | (3,4,0) |
| 117.5 Hz | oblique | (4,2,1) |
| 118.1 Hz | oblique | (1,4,1) |
| 118.8 Hz | tangential | (5,2,0) |
| 122.3 Hz | axial | (0,5,0) |
| 123.9 Hz | oblique | (2,4,1) |
| 124.2 Hz | tangential | (1,5,0) |
| 125 Hz | axial | (0,0,2) |
| 125 Hz | tangential | (5,0,1) |
| 126.9 Hz | tangential | (1,0,2) |
| 127.3 Hz | oblique | (5,1,1) |
| 127.4 Hz | tangential | (0,1,2) |
| 129.2 Hz | oblique | (1,1,2) |
| 129.6 Hz | oblique | (4,3,1) |
| 129.8 Hz | axial | (6,0,0) |
| 129.8 Hz | tangential | (2,5,0) |
| 130.6 Hz | tangential | (4,4,0) |
| 130.7 Hz | tangential | (5,3,0) |
| 132.1 Hz | tangential | (6,1,0) |
| 132.3 Hz | tangential | (2,0,2) |
| 133 Hz | oblique | (3,4,1) |
| 134.2 Hz | oblique | (5,2,1) |
| 134.3 Hz | tangential | (0,2,2) |
| 134.6 Hz | oblique | (2,1,2) |
| 136 Hz | oblique | (1,2,2) |
| 137.4 Hz | tangential | (0,5,1) |
| 138.5 Hz | tangential | (3,5,0) |
| 138.8 Hz | tangential | (6,2,0) |
| 139.1 Hz | oblique | (1,5,1) |
| 140.9 Hz | tangential | (3,0,2) |
| 141.1 Hz | oblique | (2,2,2) |
| 143 Hz | oblique | (3,1,2) |
| 144 Hz | oblique | (2,5,1) |
| 144.1 Hz | tangential | (6,0,1) |
| 144.8 Hz | oblique | (4,4,1) |
| 144.9 Hz | oblique | (5,3,1) |
| 145 Hz | tangential | (0,3,2) |
| 145.9 Hz | tangential | (5,4,0) |
| 146.2 Hz | oblique | (6,1,1) |
| 146.6 Hz | oblique | (1,3,2) |
| 146.8 Hz | axial | (0,6,0) |
| 148.4 Hz | tangential | (1,6,0) |
| 149.1 Hz | oblique | (3,2,2) |
| 149.2 Hz | tangential | (6,3,0) |
| 149.9 Hz | tangential | (4,5,0) |
| 151.3 Hz | oblique | (2,3,2) |
| 151.5 Hz | axial | (7,0,0) |
| 151.9 Hz | oblique | (3,5,1) |
| 152.1 Hz | tangential | (4,0,2) |
| 152.2 Hz | oblique | (6,2,1) |
| 153 Hz | tangential | (2,6,0) |
| 153.4 Hz | tangential | (7,1,0) |
| 154 Hz | oblique | (4,1,2) |
| 158.7 Hz | oblique | (5,4,1) |
| 158.8 Hz | tangential | (0,4,2) |
| 158.9 Hz | oblique | (3,3,2) |
| 159.2 Hz | tangential | (7,2,0) |
| 159.5 Hz | tangential | (0,6,1) |
| 159.8 Hz | oblique | (4,2,2) |
| 160.2 Hz | oblique | (1,4,2) |
| 160.5 Hz | tangential | (3,6,0) |
| 161 Hz | oblique | (1,6,1) |
| 161.7 Hz | oblique | (6,3,1) |
| 162.4 Hz | oblique | (4,5,1) |
| 162.6 Hz | tangential | (6,4,0) |
| 163.3 Hz | tangential | (5,5,0) |
| 163.9 Hz | tangential | (7,0,1) |
| 164.6 Hz | oblique | (2,4,2) |
| 165.3 Hz | oblique | (2,6,1) |
| 165.4 Hz | tangential | (5,0,2) |
| 165.7 Hz | oblique | (7,1,1) |
| 167.2 Hz | oblique | (5,1,2) |
| 168.3 Hz | tangential | (7,3,0) |
| 168.9 Hz | oblique | (4,3,2) |
| 170.4 Hz | tangential | (4,6,0) |
| 171 Hz | oblique | (7,2,1) |
| 171.2 Hz | axial | (0,7,0) |
| 171.5 Hz | oblique | (3,4,2) |
| 172.2 Hz | oblique | (3,6,1) |
| 172.4 Hz | oblique | (5,2,2) |
| 172.6 Hz | tangential | (1,7,0) |
| 173.1 Hz | axial | (8,0,0) |
| 174.2 Hz | oblique | (6,4,1) |
| 174.8 Hz | tangential | (8,1,0) |
| 174.9 Hz | tangential | (0,5,2) |
| 174.9 Hz | oblique | (5,5,1) |
| 176.3 Hz | oblique | (1,5,2) |
| 176.6 Hz | tangential | (2,7,0) |
| 178.4 Hz | tangential | (6,5,0) |
| 179.6 Hz | oblique | (7,3,1) |
| 179.9 Hz | tangential | (8,2,0) |
| 180.2 Hz | oblique | (2,5,2) |
| 180.3 Hz | tangential | (6,0,2) |
| 180.3 Hz | tangential | (7,4,0) |
| 180.8 Hz | oblique | (4,4,2) |
| 180.9 Hz | oblique | (5,3,2) |
| 181.5 Hz | oblique | (4,6,1) |
| 181.9 Hz | oblique | (6,1,2) |
| 182.3 Hz | tangential | (0,7,1) |
| 182.4 Hz | tangential | (5,6,0) |
| 183.1 Hz | tangential | (3,7,0) |
| 183.6 Hz | oblique | (1,7,1) |
| 184.1 Hz | tangential | (8,0,1) |
| 185.7 Hz | oblique | (8,1,1) |
| 186.6 Hz | oblique | (3,5,2) |
| 186.8 Hz | oblique | (6,2,2) |
| 187.4 Hz | oblique | (2,7,1) |
| 187.6 Hz | axial | (0,0,3) |
| 188 Hz | tangential | (8,3,0) |
| 188.8 Hz | tangential | (1,0,3) |
| 189 Hz | oblique | (6,5,1) |
| 189.1 Hz | tangential | (0,1,3) |
| 190.4 Hz | oblique | (1,1,3) |
| 190.5 Hz | oblique | (8,2,1) |
| 190.9 Hz | oblique | (7,4,1) |
| 191.9 Hz | tangential | (4,7,0) |
| 192.1 Hz | oblique | (5,4,2) |
| 192.5 Hz | tangential | (2,0,3) |
| 192.8 Hz | tangential | (0,6,2) |
| 192.8 Hz | oblique | (5,6,1) |
| 193.5 Hz | oblique | (3,7,1) |
| 193.8 Hz | tangential | (0,2,3) |
| 194 Hz | oblique | (1,6,2) |
| 194 Hz | oblique | (2,1,3) |
| 194.6 Hz | oblique | (6,3,2) |
| 194.7 Hz | tangential | (7,5,0) |
| 194.8 Hz | axial | (9,0,0) |
| 195 Hz | oblique | (1,2,3) |
| 195.2 Hz | oblique | (4,5,2) |
| 195.7 Hz | axial | (0,8,0) |
| 196 Hz | tangential | (6,6,0) |
| 196.3 Hz | tangential | (9,1,0) |
| 196.4 Hz | tangential | (7,0,2) |
| 196.9 Hz | tangential | (1,8,0) |
| 197.6 Hz | oblique | (2,6,2) |
| 197.9 Hz | oblique | (7,1,2) |
| 198.2 Hz | oblique | (8,3,1) |
| 198.5 Hz | tangential | (3,0,3) |
| 198.6 Hz | oblique | (2,2,3) |
| 198.9 Hz | tangential | (8,4,0) |
| 200 Hz | oblique | (3,1,3) |
Questions about 23x26 rooms
- Is a 23 by 26 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 58/100 because two of its dimensions reinforce the same note near 122.3 Hz. Treatment will make a real difference here.
- What is the best corner for bass traps in a 23x26 room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 122.3 Hz mode itself would need about 2.3 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 122.3 Hz.
- What size subwoofer does a 23x26 room need?
- Subwoofer size is less about this room's 598 sq ft and more about the output headroom you want; room size mainly changes where the 184 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 23 by 26 ft room?
- Here it comes down to this: two of its dimensions reinforce the same note near 122.3 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 23x26 room?
- Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 122.3 Hz, since that note's own quarter wavelength (about 2.3 ft) is too deep for any panel. After that, reposition your seat near 9.9 ft from the front wall and verify with REW below 102 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.