Room Modes in a 7x28 ft Room with a 9 ft Ceiling

At 7 by 28 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 20.1 Hz, set by the 28 ft length.

That puts its modal score at 35 out of 100, a tough score, this room's shape fights you more than most. The main thing to plan around: two of its dimensions reinforce the same note near 80.4 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
69
Schroeder frequency
179 Hz
Modal score
35/100

Mode spectrum

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

5 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 (28 ft)20.1 Hz40.2 Hz60.3 Hz80.4 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 20.1 Hz, set by the 28 ft length.
  • Your 28 ft length and 7 ft width both resonate at 80.4 and 160.8 Hz, so bass at those notes will be much louder than its neighbours.
  • Your 28 ft length is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
  • Between 20.1 Hz and 40.2 Hz there are no modes at all, so notes in that 20.1 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 : 0.78 : 3.11) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
  • Below about 179 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 28 ft length and 7 ft width are close in size, their modes stack near 80.4 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 : 0.78 : 3.11, 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. 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 80.4 Hz the quarter wavelength is about 3.5 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. Do not sit dead-center on the 28 ft length. Start near 10.6 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 179 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 7x28 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

Below are all 69 modes this room produces under 200 Hz: 14 axial, 36 tangential, 19 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.

FrequencyTypeMode (length, width, height)
20.1 Hzaxial(1,0,0)
40.2 Hzaxial(2,0,0)
60.3 Hzaxial(3,0,0)
62.5 Hzaxial(0,0,1)
65.7 Hztangential(1,0,1)
74.3 Hztangential(2,0,1)
80.4 Hzaxial(0,1,0)
80.4 Hzaxial(4,0,0)
82.9 Hztangential(1,1,0)
86.8 Hztangential(3,0,1)
89.9 Hztangential(2,1,0)
100.5 Hzaxial(5,0,0)
100.5 Hztangential(3,1,0)
101.8 Hztangential(0,1,1)
101.8 Hztangential(4,0,1)
103.8 Hzoblique(1,1,1)
109.5 Hzoblique(2,1,1)
113.7 Hztangential(4,1,0)
118.3 Hztangential(5,0,1)
118.3 Hzoblique(3,1,1)
120.6 Hzaxial(6,0,0)
125 Hzaxial(0,0,2)
126.6 Hztangential(1,0,2)
128.7 Hztangential(5,1,0)
129.7 Hzoblique(4,1,1)
131.3 Hztangential(2,0,2)
135.8 Hztangential(6,0,1)
138.8 Hztangential(3,0,2)
140.7 Hzaxial(7,0,0)
143.1 Hzoblique(5,1,1)
144.9 Hztangential(6,1,0)
148.6 Hztangential(0,1,2)
148.6 Hztangential(4,0,2)
150 Hzoblique(1,1,2)
153.9 Hztangential(7,0,1)
154 Hzoblique(2,1,2)
157.8 Hzoblique(6,1,1)
160.4 Hztangential(5,0,2)
160.4 Hzoblique(3,1,2)
160.8 Hzaxial(0,2,0)
160.8 Hzaxial(8,0,0)
162 Hztangential(1,2,0)
162 Hztangential(7,1,0)
165.7 Hztangential(2,2,0)
169 Hzoblique(4,1,2)
171.7 Hztangential(3,2,0)
172.5 Hztangential(0,2,1)
172.5 Hztangential(8,0,1)
173.7 Hztangential(6,0,2)
173.7 Hzoblique(1,2,1)
173.7 Hzoblique(7,1,1)
177.1 Hzoblique(2,2,1)
179.4 Hzoblique(5,1,2)
179.7 Hztangential(4,2,0)
179.7 Hztangential(8,1,0)
180.9 Hzaxial(9,0,0)
182.7 Hzoblique(3,2,1)
187.6 Hzaxial(0,0,3)
188.2 Hztangential(7,0,2)
188.6 Hztangential(1,0,3)
189.6 Hztangential(5,2,0)
190.3 Hzoblique(4,2,1)
190.3 Hzoblique(8,1,1)
191.4 Hztangential(9,0,1)
191.4 Hzoblique(6,1,2)
191.8 Hztangential(2,0,3)
197 Hztangential(3,0,3)
197.9 Hztangential(9,1,0)
199.6 Hzoblique(5,2,1)

Questions about 7x28 rooms

Will a 7x28 room work for a home theater?
You can use this room as a bedroom theater or dedicated music room, but its bass will fight you: a 35/100 modal score, mainly because two of its dimensions reinforce the same note near 80.4 Hz, means committed corner trapping and careful seat placement are not optional here.
Where should I put bass traps in a 7x28 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 80.4 Hz mode itself would need about 3.5 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 80.4 Hz.
What subwoofer size is right for a 7 by 28 ft room?
There is no fixed sub size tied to 196 sq ft; that number mostly sets this room's mode frequencies (69 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 7x28 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 80.4 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 7x28 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 80.4 Hz, since that note's own quarter wavelength (about 3.5 ft) is too deep for any panel. From there, move your seat to about 10.6 ft from the front wall, then measure with REW below 179 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.