Room Modes in an 11x22 ft Room with an 8 ft Ceiling

This 11x22 ft room, 8 ft to the ceiling, is a common size for a bedroom theater or dedicated music room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 25.6 Hz, driven by the 22 ft length.

On the 0-100 modal score, this room comes in at 25, a tough score, this room's shape fights you more than most. Before you treat anything, know that two of its dimensions reinforce the same note near 51.2 Hz.

Lowest mode
25.6 Hz
Modes under 200 Hz
72
Schroeder frequency
171 Hz
Modal score
25/100

Mode spectrum

Mode spectrum · log frequency · stem height ≈ relative energy
Axial Tangential Oblique Cluster

7 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

Dimension1st2nd3rd4th
Length (22 ft)25.6 Hz51.2 Hz76.7 Hz102.3 Hz
Width (11 ft)51.2 Hz102.3 Hz153.5 Hz204.6 Hz
Ceiling height (8 ft)70.3 Hz140.7 Hz211 Hz281.3 Hz

What this means for your room

  • The lowest room mode is 25.6 Hz, set by the 22 ft length.
  • Your 22 ft length is exactly twice your 11 ft width, so their modes stack at 51.2, 102.3 and 153.5 Hz and bass at those notes will be much louder than its neighbours.
  • Between 25.6 Hz and 51.2 Hz there are no modes at all, so notes in that 25.6 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 31.5 and 63 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 : 1.38 : 2.75) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
  • Below about 171 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 22 ft length and 11 ft width are close in size, their modes stack near 51.2 Hz. Expect that one note to sound louder, and ring longer, than the rest of the bass in this room.

In a home theater, this shows up as one bass note in an action scene sounding far louder than the rest of the mix, usually a kick drum hit or an LFE cue landing right on that stacked note. In a music room, the same thing means certain bass notes on a track jump out while others next to them feel buried.

At 1 : 1.38 : 2.75, this room sits outside the Bolt area because the room is long and narrow for its height, which bunches modes up along the length. Expect to lean on bass traps and seat position a bit more than in a room with friendlier proportions.

How to fix it, in order

  1. 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.
  2. At 51.2 Hz the quarter wavelength is about 5.5 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.
  3. Avoid the exact middle of the 22 ft length for your seat or mix position; try around 8.4 ft from the front wall (38% of the length) as a starting point, then nudge from there by ear.
  4. 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.
  5. Confirm the fix with an REW measurement at the listening position, paying closest attention below 171 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 11x22 room with hard walls. Draw your real room, add furniture and speakers, and simulate the bass at your seat.

Model this room in 3D

Every mode below 200 Hz

The table below lists every mode under 200 Hz for this room: 72 in all, 12 axial, 35 tangential and 25 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.

FrequencyTypeMode (length, width, height)
25.6 Hzaxial(1,0,0)
51.2 Hzaxial(0,1,0)
51.2 Hzaxial(2,0,0)
57.2 Hztangential(1,1,0)
70.3 Hzaxial(0,0,1)
72.3 Hztangential(2,1,0)
74.8 Hztangential(1,0,1)
76.7 Hzaxial(3,0,0)
87 Hztangential(0,1,1)
87 Hztangential(2,0,1)
90.6 Hzoblique(1,1,1)
92.2 Hztangential(3,1,0)
100.9 Hzoblique(2,1,1)
102.3 Hzaxial(0,2,0)
102.3 Hzaxial(4,0,0)
104.1 Hztangential(3,0,1)
105.5 Hztangential(1,2,0)
114.4 Hztangential(2,2,0)
114.4 Hztangential(4,1,0)
116 Hzoblique(3,1,1)
124.1 Hztangential(0,2,1)
124.1 Hztangential(4,0,1)
126.8 Hzoblique(1,2,1)
127.9 Hzaxial(5,0,0)
127.9 Hztangential(3,2,0)
134.3 Hzoblique(2,2,1)
134.3 Hzoblique(4,1,1)
137.7 Hztangential(5,1,0)
140.7 Hzaxial(0,0,2)
143 Hztangential(1,0,2)
144.7 Hztangential(4,2,0)
145.9 Hztangential(5,0,1)
145.9 Hzoblique(3,2,1)
149.7 Hztangential(0,1,2)
149.7 Hztangential(2,0,2)
151.8 Hzoblique(1,1,2)
153.5 Hzaxial(0,3,0)
153.5 Hzaxial(6,0,0)
154.6 Hzoblique(5,1,1)
155.6 Hztangential(1,3,0)
158.2 Hzoblique(2,1,2)
160.2 Hztangential(3,0,2)
160.9 Hzoblique(4,2,1)
161.8 Hztangential(2,3,0)
161.8 Hztangential(6,1,0)
163.8 Hztangential(5,2,0)
168.2 Hzoblique(3,1,2)
168.8 Hztangential(0,3,1)
168.8 Hztangential(6,0,1)
170.7 Hzoblique(1,3,1)
171.6 Hztangential(3,3,0)
173.9 Hztangential(0,2,2)
173.9 Hztangential(4,0,2)
175.8 Hzoblique(1,2,2)
176.4 Hzoblique(2,3,1)
176.4 Hzoblique(6,1,1)
178.2 Hzoblique(5,2,1)
179 Hzaxial(7,0,0)
181.3 Hzoblique(2,2,2)
181.3 Hzoblique(4,1,2)
184.4 Hztangential(4,3,0)
184.4 Hztangential(6,2,0)
185.4 Hzoblique(3,3,1)
186.2 Hztangential(7,1,0)
190.1 Hztangential(5,0,2)
190.1 Hzoblique(3,2,2)
192.3 Hztangential(7,0,1)
196.9 Hzoblique(5,1,2)
197.4 Hzoblique(4,3,1)
197.4 Hzoblique(6,2,1)
199 Hzoblique(7,1,1)
199.8 Hztangential(5,3,0)

Questions about 11x22 rooms

Is an 11 by 22 ft room good for a music room or home theater?
This size is workable for a bedroom theater or dedicated music room, but its modal score of 25/100 is low, driven by the fact that two of its dimensions reinforce the same note near 51.2 Hz. Go in expecting a serious treatment plan.
What is the best corner for bass traps in an 11x22 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 51.2 Hz mode itself would need about 5.5 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 51.2 Hz.
What size subwoofer does an 11x22 room need?
Subwoofer size is less about this room's 242 sq ft and more about the output headroom you want; room size mainly changes where the 72 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 an 11 by 22 ft room?
Here it comes down to this: two of its dimensions reinforce the same note near 51.2 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 an 11x22 room?
Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 51.2 Hz, since that note's own quarter wavelength (about 5.5 ft) is too deep for any panel. After that, reposition your seat near 8.4 ft from the front wall and verify with REW below 171 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.