Room Modes in a 19x30 ft Room with a 9 ft Ceiling
This 19x30 ft room, 9 ft to the ceiling, is a common size for a dedicated home theater or media room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 18.8 Hz, driven by the 30 ft length.
On the 0-100 modal score, this room comes in at 53, a rough score, worth planning around. Before you treat anything, know that two of its dimensions reinforce the same note near 148.1 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 (19 ft) | 29.6 Hz | 59.2 Hz | 88.8 Hz | 118.5 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 19 ft width both resonate near 148.1 Hz, so bass at that note will be much louder than its neighbours.
- 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.
- Between 18.8 Hz and 29.6 Hz there are no modes at all, so notes in that 10.8 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 : 2.11 : 3.33) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
- Below about 105 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.
The modes from your 30 ft length and 19 ft width land on top of each other near 148.1 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 room's proportions (1 : 2.11 : 3.33, height to width to length) fall inside the Bolt area, the range acousticians consider best for spreading modes evenly. That is a genuine advantage of this room's shape, not something you can add later with treatment.
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 148.1 Hz the quarter wavelength is about 1.9 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 30 ft length for your seat or mix position; try around 11.4 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 105 Hz; above that, general room reverb matters more than any single mode.
These numbers assume an empty rectangular 19x30 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 176 modes this room produces under 200 Hz: 19 axial, 82 tangential, 75 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) |
|---|---|---|
| 18.8 Hz | axial | (1,0,0) |
| 29.6 Hz | axial | (0,1,0) |
| 35.1 Hz | tangential | (1,1,0) |
| 37.5 Hz | axial | (2,0,0) |
| 47.8 Hz | tangential | (2,1,0) |
| 56.3 Hz | axial | (3,0,0) |
| 59.2 Hz | axial | (0,2,0) |
| 62.1 Hz | tangential | (1,2,0) |
| 62.5 Hz | axial | (0,0,1) |
| 63.6 Hz | tangential | (3,1,0) |
| 65.3 Hz | tangential | (1,0,1) |
| 69.2 Hz | tangential | (0,1,1) |
| 70.1 Hz | tangential | (2,2,0) |
| 71.7 Hz | oblique | (1,1,1) |
| 72.9 Hz | tangential | (2,0,1) |
| 75 Hz | axial | (4,0,0) |
| 78.7 Hz | oblique | (2,1,1) |
| 80.7 Hz | tangential | (4,1,0) |
| 81.7 Hz | tangential | (3,2,0) |
| 84.1 Hz | tangential | (3,0,1) |
| 86.1 Hz | tangential | (0,2,1) |
| 88.1 Hz | oblique | (1,2,1) |
| 88.8 Hz | axial | (0,3,0) |
| 89.2 Hz | oblique | (3,1,1) |
| 90.8 Hz | tangential | (1,3,0) |
| 93.8 Hz | axial | (5,0,0) |
| 93.9 Hz | oblique | (2,2,1) |
| 95.6 Hz | tangential | (4,2,0) |
| 96.4 Hz | tangential | (2,3,0) |
| 97.7 Hz | tangential | (4,0,1) |
| 98.3 Hz | tangential | (5,1,0) |
| 102 Hz | oblique | (4,1,1) |
| 102.9 Hz | oblique | (3,2,1) |
| 105.2 Hz | tangential | (3,3,0) |
| 108.6 Hz | tangential | (0,3,1) |
| 110.2 Hz | oblique | (1,3,1) |
| 110.9 Hz | tangential | (5,2,0) |
| 112.5 Hz | axial | (6,0,0) |
| 112.7 Hz | tangential | (5,0,1) |
| 114.2 Hz | oblique | (4,2,1) |
| 114.9 Hz | oblique | (2,3,1) |
| 116.3 Hz | tangential | (4,3,0) |
| 116.4 Hz | tangential | (6,1,0) |
| 116.5 Hz | oblique | (5,1,1) |
| 118.5 Hz | axial | (0,4,0) |
| 119.9 Hz | tangential | (1,4,0) |
| 122.3 Hz | oblique | (3,3,1) |
| 124.3 Hz | tangential | (2,4,0) |
| 125 Hz | axial | (0,0,2) |
| 126.4 Hz | tangential | (1,0,2) |
| 127.2 Hz | tangential | (6,2,0) |
| 127.3 Hz | oblique | (5,2,1) |
| 128.5 Hz | tangential | (0,1,2) |
| 128.7 Hz | tangential | (6,0,1) |
| 129.2 Hz | tangential | (5,3,0) |
| 129.9 Hz | oblique | (1,1,2) |
| 130.5 Hz | tangential | (2,0,2) |
| 131.1 Hz | tangential | (3,4,0) |
| 131.3 Hz | axial | (7,0,0) |
| 132 Hz | oblique | (4,3,1) |
| 132.1 Hz | oblique | (6,1,1) |
| 133.9 Hz | tangential | (0,4,1) |
| 133.9 Hz | oblique | (2,1,2) |
| 134.6 Hz | tangential | (7,1,0) |
| 135.2 Hz | oblique | (1,4,1) |
| 137.1 Hz | tangential | (3,0,2) |
| 138.4 Hz | tangential | (0,2,2) |
| 139.1 Hz | oblique | (2,4,1) |
| 139.6 Hz | oblique | (1,2,2) |
| 140.2 Hz | tangential | (4,4,0) |
| 140.3 Hz | oblique | (3,1,2) |
| 141.7 Hz | oblique | (6,2,1) |
| 143.3 Hz | oblique | (2,2,2) |
| 143.4 Hz | tangential | (6,3,0) |
| 143.5 Hz | oblique | (5,3,1) |
| 144 Hz | tangential | (7,2,0) |
| 145.3 Hz | oblique | (3,4,1) |
| 145.4 Hz | tangential | (7,0,1) |
| 145.8 Hz | tangential | (4,0,2) |
| 148.1 Hz | axial | (0,5,0) |
| 148.4 Hz | oblique | (7,1,1) |
| 148.8 Hz | oblique | (4,1,2) |
| 149.3 Hz | tangential | (1,5,0) |
| 149.4 Hz | oblique | (3,2,2) |
| 150 Hz | axial | (8,0,0) |
| 151.1 Hz | tangential | (5,4,0) |
| 152.7 Hz | tangential | (2,5,0) |
| 152.9 Hz | tangential | (8,1,0) |
| 153.4 Hz | tangential | (0,3,2) |
| 153.5 Hz | oblique | (4,4,1) |
| 154.5 Hz | oblique | (1,3,2) |
| 156.3 Hz | tangential | (5,0,2) |
| 156.4 Hz | oblique | (6,3,1) |
| 157 Hz | oblique | (7,2,1) |
| 157.4 Hz | oblique | (4,2,2) |
| 157.9 Hz | oblique | (2,3,2) |
| 158.4 Hz | tangential | (3,5,0) |
| 158.5 Hz | tangential | (7,3,0) |
| 159.1 Hz | oblique | (5,1,2) |
| 160.7 Hz | tangential | (0,5,1) |
| 161.3 Hz | tangential | (8,2,0) |
| 161.8 Hz | oblique | (1,5,1) |
| 162.5 Hz | tangential | (8,0,1) |
| 163.4 Hz | tangential | (6,4,0) |
| 163.4 Hz | oblique | (3,3,2) |
| 163.5 Hz | oblique | (5,4,1) |
| 165 Hz | oblique | (2,5,1) |
| 165.2 Hz | oblique | (8,1,1) |
| 166 Hz | tangential | (4,5,0) |
| 167.1 Hz | oblique | (5,2,2) |
| 168.2 Hz | tangential | (6,0,2) |
| 168.8 Hz | axial | (9,0,0) |
| 170.3 Hz | oblique | (3,5,1) |
| 170.4 Hz | oblique | (7,3,1) |
| 170.7 Hz | oblique | (4,3,2) |
| 170.8 Hz | oblique | (6,1,2) |
| 171.4 Hz | tangential | (9,1,0) |
| 172.2 Hz | tangential | (0,4,2) |
| 173 Hz | oblique | (8,2,1) |
| 173.3 Hz | oblique | (1,4,2) |
| 174.4 Hz | tangential | (8,3,0) |
| 174.9 Hz | oblique | (6,4,1) |
| 175.3 Hz | tangential | (5,5,0) |
| 176.3 Hz | oblique | (2,4,2) |
| 176.8 Hz | tangential | (7,4,0) |
| 177.4 Hz | oblique | (4,5,1) |
| 177.7 Hz | axial | (0,6,0) |
| 178.3 Hz | oblique | (6,2,2) |
| 178.7 Hz | tangential | (1,6,0) |
| 178.9 Hz | tangential | (9,2,0) |
| 179.8 Hz | oblique | (5,3,2) |
| 180 Hz | tangential | (9,0,1) |
| 181.2 Hz | oblique | (3,4,2) |
| 181.3 Hz | tangential | (7,0,2) |
| 181.6 Hz | tangential | (2,6,0) |
| 182.4 Hz | oblique | (9,1,1) |
| 183.7 Hz | oblique | (7,1,2) |
| 185.2 Hz | oblique | (8,3,1) |
| 186 Hz | tangential | (6,5,0) |
| 186.1 Hz | oblique | (5,5,1) |
| 186.4 Hz | tangential | (3,6,0) |
| 187.6 Hz | axial | (0,0,3) |
| 187.6 Hz | axial | (10,0,0) |
| 187.6 Hz | oblique | (7,4,1) |
| 187.9 Hz | oblique | (4,4,2) |
| 188.4 Hz | tangential | (0,6,1) |
| 188.5 Hz | tangential | (1,0,3) |
| 189.3 Hz | oblique | (1,6,1) |
| 189.5 Hz | oblique | (9,2,1) |
| 189.9 Hz | tangential | (0,1,3) |
| 189.9 Hz | tangential | (10,1,0) |
| 190.2 Hz | oblique | (6,3,2) |
| 190.7 Hz | oblique | (7,2,2) |
| 190.8 Hz | tangential | (9,3,0) |
| 190.8 Hz | oblique | (1,1,3) |
| 191.2 Hz | tangential | (8,4,0) |
| 191.3 Hz | tangential | (2,0,3) |
| 192.1 Hz | oblique | (2,6,1) |
| 192.9 Hz | tangential | (4,6,0) |
| 193.5 Hz | oblique | (2,1,3) |
| 193.8 Hz | tangential | (0,5,2) |
| 194.7 Hz | oblique | (1,5,2) |
| 195.3 Hz | tangential | (8,0,2) |
| 195.8 Hz | tangential | (3,0,3) |
| 196.1 Hz | oblique | (5,4,2) |
| 196.2 Hz | oblique | (6,5,1) |
| 196.6 Hz | oblique | (3,6,1) |
| 196.7 Hz | tangential | (0,2,3) |
| 196.7 Hz | tangential | (10,2,0) |
| 197.4 Hz | oblique | (2,5,2) |
| 197.5 Hz | oblique | (8,1,2) |
| 197.6 Hz | oblique | (1,2,3) |
| 197.7 Hz | tangential | (10,0,1) |
| 197.9 Hz | tangential | (7,5,0) |
| 198 Hz | oblique | (3,1,3) |
| 199.9 Hz | oblique | (10,1,1) |
Questions about 19x30 rooms
- Will a 19x30 room work for a home theater?
- This size suits a dedicated home theater or media room, though the 53/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 148.1 Hz.
- Where should I put bass traps in a 19x30 room?
- Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 148.1 Hz mode itself would need about 1.9 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 148.1 Hz.
- What subwoofer size is right for a 19 by 30 ft room?
- There is no fixed sub size tied to 570 sq ft; that number mostly sets this room's mode frequencies (176 of them under 200 Hz). At this size you will want more headroom than a small room needs, and two subwoofers usually beat one at keeping bass even from seat to seat.
- Why does my 19x30 room have one loud bass note?
- The short answer for this room: two of its dimensions reinforce the same note near 148.1 Hz. Bass unevenness like that is built into the shape of the room and shows up regardless of what speakers or sub you use.
- How do I fix bass problems in a 19x30 room?
- Put bass traps in the four floor-to-ceiling corners first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 148.1 Hz, since that note's own quarter wavelength (about 1.9 ft) is too deep for any panel. From there, move your seat to about 11.4 ft from the front wall, then measure with REW below 105 Hz to see what still needs work.
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.