Room Modes in a 13x22 ft Room with an 8 ft Ceiling

This 13x22 ft room, 8 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 25.6 Hz, driven by the 22 ft length.

On the 0-100 modal score, this room comes in at 55, a rough score, worth planning around. Before you treat anything, know that two of its dimensions reinforce the same note near 127.9 Hz.

Lowest mode
25.6 Hz
Modes under 200 Hz
85
Schroeder frequency
157 Hz
Modal score
55/100

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 (13 ft)43.3 Hz86.6 Hz129.8 Hz173.1 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 and 13 ft width both resonate near 127.9 Hz, so bass at that note will be much louder than its neighbours.
  • Between 25.6 Hz and 43.3 Hz there are no modes at all, so notes in that 17.7 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 31.5, 63 and 100 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 : 1.63 : 2.75) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 157 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 22 ft length and 13 ft width are close in size, their modes stack near 127.9 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 a ratio of 1 : 1.63 : 2.75, this room sits inside the Bolt area, the zone where modes tend to spread out rather than pile up. Shape is doing you a favor here.

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.
  2. At 127.9 Hz the quarter wavelength is about 2.2 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 157 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 13x22 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: 85 in all, 13 axial, 41 tangential and 31 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)
43.3 Hzaxial(0,1,0)
50.3 Hztangential(1,1,0)
51.2 Hzaxial(2,0,0)
67 Hztangential(2,1,0)
70.3 Hzaxial(0,0,1)
74.8 Hztangential(1,0,1)
76.7 Hzaxial(3,0,0)
82.6 Hztangential(0,1,1)
86.5 Hzoblique(1,1,1)
86.6 Hzaxial(0,2,0)
87 Hztangential(2,0,1)
88.1 Hztangential(3,1,0)
90.3 Hztangential(1,2,0)
97.1 Hzoblique(2,1,1)
100.5 Hztangential(2,2,0)
102.3 Hzaxial(4,0,0)
104.1 Hztangential(3,0,1)
111.1 Hztangential(4,1,0)
111.5 Hztangential(0,2,1)
112.7 Hzoblique(3,1,1)
114.4 Hzoblique(1,2,1)
115.7 Hztangential(3,2,0)
122.7 Hzoblique(2,2,1)
124.1 Hztangential(4,0,1)
127.9 Hzaxial(5,0,0)
129.8 Hzaxial(0,3,0)
131.5 Hzoblique(4,1,1)
132.3 Hztangential(1,3,0)
134 Hztangential(4,2,0)
135 Hztangential(5,1,0)
135.4 Hzoblique(3,2,1)
139.6 Hztangential(2,3,0)
140.7 Hzaxial(0,0,2)
143 Hztangential(1,0,2)
145.9 Hztangential(5,0,1)
147.2 Hztangential(0,1,2)
147.7 Hztangential(0,3,1)
149.4 Hzoblique(1,1,2)
149.7 Hztangential(2,0,2)
149.9 Hzoblique(1,3,1)
150.8 Hztangential(3,3,0)
151.3 Hzoblique(4,2,1)
152.2 Hzoblique(5,1,1)
153.5 Hzaxial(6,0,0)
154.4 Hztangential(5,2,0)
155.8 Hzoblique(2,1,2)
156.3 Hzoblique(2,3,1)
159.4 Hztangential(6,1,0)
160.2 Hztangential(3,0,2)
165.2 Hztangential(0,2,2)
165.3 Hztangential(4,3,0)
166 Hzoblique(3,1,2)
166.4 Hzoblique(3,3,1)
167.1 Hzoblique(1,2,2)
168.8 Hztangential(6,0,1)
169.7 Hzoblique(5,2,1)
172.9 Hzoblique(2,2,2)
173.1 Hzaxial(0,4,0)
173.9 Hztangential(4,0,2)
174.3 Hzoblique(6,1,1)
175 Hztangential(1,4,0)
176.2 Hztangential(6,2,0)
179 Hzaxial(7,0,0)
179.2 Hzoblique(4,1,2)
179.6 Hzoblique(4,3,1)
180.5 Hztangential(2,4,0)
182.1 Hzoblique(3,2,2)
182.2 Hztangential(5,3,0)
184.2 Hztangential(7,1,0)
186.9 Hztangential(0,4,1)
188.6 Hzoblique(1,4,1)
189.4 Hztangential(3,4,0)
189.7 Hzoblique(6,2,1)
190.1 Hztangential(5,0,2)
191.4 Hztangential(0,3,2)
192.3 Hztangential(7,0,1)
193.1 Hzoblique(1,3,2)
193.7 Hzoblique(2,4,1)
194.3 Hzoblique(4,2,2)
195 Hzoblique(5,1,2)
195.3 Hzoblique(5,3,1)
197.2 Hzoblique(7,1,1)
198.1 Hzoblique(2,3,2)
198.9 Hztangential(7,2,0)

Questions about 13x22 rooms

Is a 13x22 room good for a home theater?
At 286 sq ft, this size works as a dedicated home theater or media room, but a modal score of 55/100 means it is workable, not effortless: two of its dimensions reinforce the same note near 127.9 Hz, so plan on real bass trapping.
Where do bass traps go in a 13 by 22 ft room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 127.9 Hz mode itself would need about 2.2 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 127.9 Hz.
Do I need a big subwoofer for a 13x22 room?
Room size here mainly shapes where the modes land, not the sub size on its own; this room has 85 modes below 200 Hz to work around either way. Larger rooms like this one ask more of a subwoofer's output, and a second sub in a different spot helps smooth out the peaks and dips across seats.
Why does one bass note boom in a 13x22 room?
In this room, the main cause is that two of its dimensions reinforce the same note near 127.9 Hz. Room modes reinforce specific notes more than others no matter how good your speakers are, and that unevenness is what you are hearing.
How many bass traps does a 13 by 22 ft room need?
Start by treating the four corners with traps as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 127.9 Hz, since that note's own quarter wavelength (about 2.2 ft) is too deep for any panel. Next, shift your listening position toward 8.4 ft from the front wall, then confirm progress with an REW sweep under 157 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.