Room Modes in a 7x22 ft Room with a 9 ft Ceiling

At 7 by 22 ft with a 9 ft ceiling, this room works well as a bedroom theater or dedicated music room. Its first room mode, the lowest note the walls naturally reinforce, falls at 25.6 Hz, set by the 22 ft length.

That puts its modal score at 50 out of 100, a rough score, worth planning around. The main thing to plan around: two of its dimensions reinforce the same note near 125.0 Hz.

Lowest mode
25.6 Hz
Modes under 200 Hz
55
Schroeder frequency
202 Hz
Modal score
50/100

Mode spectrum

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

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

Dimension1st2nd3rd4th
Length (22 ft)25.6 Hz51.2 Hz76.7 Hz102.3 Hz
Width (7 ft)80.4 Hz160.8 Hz241.1 Hz321.5 Hz
Ceiling height (9 ft)62.5 Hz125 Hz187.6 Hz250.1 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 almost exactly three times your 7 ft width, so their modes fall close together without quite stacking.
  • Your 22 ft length and 9 ft ceiling height both resonate near 125.0 Hz, so bass at that note 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 Hz third-octave band (0 modes against 1 in the band below), so bass will sound uneven from note to note.
  • The proportions (1 : 0.78 : 2.44) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
  • Below about 202 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 22 ft length and 9 ft ceiling share a mode near 125.0 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 : 0.78 : 2.44) 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

  1. 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.
  2. At 125.0 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.
  3. Do not sit dead-center on the 22 ft length. Start near 8.4 ft from the front wall, about 38% of the way back, and adjust from there.
  4. 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.
  5. After treating, run an REW sweep from the seat. Everything below 202 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 7x22 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: 55 in all, 12 axial, 29 tangential and 14 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(2,0,0)
62.5 Hzaxial(0,0,1)
67.5 Hztangential(1,0,1)
76.7 Hzaxial(3,0,0)
80.4 Hzaxial(0,1,0)
80.8 Hztangential(2,0,1)
84.4 Hztangential(1,1,0)
95.3 Hztangential(2,1,0)
99 Hztangential(3,0,1)
101.8 Hztangential(0,1,1)
102.3 Hzaxial(4,0,0)
105 Hzoblique(1,1,1)
111.1 Hztangential(3,1,0)
114 Hzoblique(2,1,1)
119.9 Hztangential(4,0,1)
125 Hzaxial(0,0,2)
127.5 Hzoblique(3,1,1)
127.6 Hztangential(1,0,2)
127.9 Hzaxial(5,0,0)
130.1 Hztangential(4,1,0)
135.1 Hztangential(2,0,2)
142.3 Hztangential(5,0,1)
144.3 Hzoblique(4,1,1)
146.7 Hztangential(3,0,2)
148.6 Hztangential(0,1,2)
150.8 Hzoblique(1,1,2)
151 Hztangential(5,1,0)
153.5 Hzaxial(6,0,0)
157.2 Hzoblique(2,1,2)
160.8 Hzaxial(0,2,0)
161.6 Hztangential(4,0,2)
162.8 Hztangential(1,2,0)
163.5 Hzoblique(5,1,1)
165.7 Hztangential(6,0,1)
167.3 Hzoblique(3,1,2)
168.7 Hztangential(2,2,0)
172.5 Hztangential(0,2,1)
173.2 Hztangential(6,1,0)
174.4 Hzoblique(1,2,1)
178.1 Hztangential(3,2,0)
178.8 Hztangential(5,0,2)
179 Hzaxial(7,0,0)
179.9 Hzoblique(2,2,1)
180.4 Hzoblique(4,1,2)
184.2 Hzoblique(6,1,1)
187.6 Hzaxial(0,0,3)
188.8 Hzoblique(3,2,1)
189.3 Hztangential(1,0,3)
189.6 Hztangential(7,0,1)
190.6 Hztangential(4,2,0)
194.4 Hztangential(2,0,3)
196.1 Hzoblique(5,1,2)
196.2 Hztangential(7,1,0)
197.9 Hztangential(6,0,2)

Questions about 7x22 rooms

Will a 7x22 room work for a home theater?
This size suits a bedroom theater or dedicated music room, though the 50/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 125.0 Hz.
Where should I put bass traps in a 7x22 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 125.0 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 125.0 Hz.
What subwoofer size is right for a 7 by 22 ft room?
There is no fixed sub size tied to 154 sq ft; that number mostly sets this room's mode frequencies (55 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 7x22 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 125.0 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 7x22 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 125.0 Hz, since that note's own quarter wavelength (about 2.3 ft) is too deep for any panel. From there, move your seat to about 8.4 ft from the front wall, then measure with REW below 202 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.