Room Modes in a 10x28 ft Room with a 9 ft Ceiling

This 10x28 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 20.1 Hz, driven by the 28 ft length.

On the 0-100 modal score, this room comes in at 50, a rough score, worth planning around. Before you treat anything, know that there is a gap of 20.1 Hz between 20.1 Hz and 40.2 Hz with no mode in between.

Lowest mode
20.1 Hz
Modes under 200 Hz
96
Schroeder frequency
150 Hz
Modal score
50/100

Mode spectrum

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

4 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 (10 ft)56.3 Hz112.5 Hz168.8 Hz225.1 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 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, 50 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 : 1.11 : 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 150 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

No mode falls between 20.1 Hz and 40.2 Hz, a gap of 20.1 Hz. That is a spot where bass naturally loses energy instead of gaining it.

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 gap. 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 : 1.11 : 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. Treat the four floor-to-ceiling corners first; they are common to every mode this room produces, and your ceiling height is part of the problem.
  2. At 25.0 Hz the quarter wavelength is about 11.3 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. Move your listening position off-center along the 28 ft length; roughly 10.6 ft from the front wall (38% back) is a common starting spot before fine-tuning.
  4. Walk the subwoofer around the front of the room while playing a bass-heavy track and listen from your seat: corner placement is loudest but least even, and a second sub or an off-corner spot often fills in this room’s weak points.
  5. Once traps are in, measure with REW from the listening position. Focus on frequencies below 150 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 10x28 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: 96 in all, 15 axial, 47 tangential and 34 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)
20.1 Hzaxial(1,0,0)
40.2 Hzaxial(2,0,0)
56.3 Hzaxial(0,1,0)
59.7 Hztangential(1,1,0)
60.3 Hzaxial(3,0,0)
62.5 Hzaxial(0,0,1)
65.7 Hztangential(1,0,1)
69.1 Hztangential(2,1,0)
74.3 Hztangential(2,0,1)
80.4 Hzaxial(4,0,0)
82.5 Hztangential(3,1,0)
84.1 Hztangential(0,1,1)
86.5 Hzoblique(1,1,1)
86.8 Hztangential(3,0,1)
93.2 Hzoblique(2,1,1)
98.1 Hztangential(4,1,0)
100.5 Hzaxial(5,0,0)
101.8 Hztangential(4,0,1)
103.5 Hzoblique(3,1,1)
112.5 Hzaxial(0,2,0)
114.3 Hztangential(1,2,0)
115.2 Hztangential(5,1,0)
116.3 Hzoblique(4,1,1)
118.3 Hztangential(5,0,1)
119.5 Hztangential(2,2,0)
120.6 Hzaxial(6,0,0)
125 Hzaxial(0,0,2)
126.6 Hztangential(1,0,2)
127.7 Hztangential(3,2,0)
128.7 Hztangential(0,2,1)
130.3 Hzoblique(1,2,1)
131 Hzoblique(5,1,1)
131.3 Hztangential(2,0,2)
133.1 Hztangential(6,1,0)
134.9 Hzoblique(2,2,1)
135.8 Hztangential(6,0,1)
137.1 Hztangential(0,1,2)
138.3 Hztangential(4,2,0)
138.6 Hzoblique(1,1,2)
138.8 Hztangential(3,0,2)
140.7 Hzaxial(7,0,0)
142.1 Hzoblique(3,2,1)
142.9 Hzoblique(2,1,2)
147 Hzoblique(6,1,1)
148.6 Hztangential(4,0,2)
149.8 Hzoblique(3,1,2)
150.9 Hztangential(5,2,0)
151.5 Hztangential(7,1,0)
151.8 Hzoblique(4,2,1)
153.9 Hztangential(7,0,1)
158.9 Hzoblique(4,1,2)
160.4 Hztangential(5,0,2)
160.8 Hzaxial(8,0,0)
163.3 Hzoblique(5,2,1)
163.9 Hzoblique(7,1,1)
164.9 Hztangential(6,2,0)
168.2 Hztangential(0,2,2)
168.8 Hzaxial(0,3,0)
169.4 Hzoblique(1,2,2)
170 Hztangential(1,3,0)
170 Hzoblique(5,1,2)
170.3 Hztangential(8,1,0)
172.5 Hztangential(8,0,1)
173 Hzoblique(2,2,2)
173.5 Hztangential(2,3,0)
173.7 Hztangential(6,0,2)
176.4 Hzoblique(6,2,1)
178.7 Hzoblique(3,2,2)
179.2 Hztangential(3,3,0)
180 Hztangential(0,3,1)
180.1 Hztangential(7,2,0)
180.9 Hzaxial(9,0,0)
181.1 Hzoblique(1,3,1)
181.4 Hzoblique(8,1,1)
182.6 Hzoblique(6,1,2)
184.4 Hzoblique(2,3,1)
186.4 Hzoblique(4,2,2)
187 Hztangential(4,3,0)
187.6 Hzaxial(0,0,3)
188.2 Hztangential(7,0,2)
188.6 Hztangential(1,0,3)
189.4 Hztangential(9,1,0)
189.8 Hzoblique(3,3,1)
190.7 Hzoblique(7,2,1)
191.4 Hztangential(9,0,1)
191.8 Hztangential(2,0,3)
195.8 Hztangential(0,1,3)
195.9 Hzoblique(5,2,2)
196.2 Hztangential(8,2,0)
196.4 Hztangential(5,3,0)
196.4 Hzoblique(7,1,2)
196.8 Hzoblique(1,1,3)
197 Hztangential(3,0,3)
197.1 Hzoblique(4,3,1)
199.5 Hzoblique(9,1,1)
199.9 Hzoblique(2,1,3)

Questions about 10x28 rooms

Is a 10x28 room good for a home theater?
At 280 sq ft, this size works as a dedicated home theater or media room, but a modal score of 50/100 means it is workable, not effortless: there is a gap of 20.1 Hz between 20.1 Hz and 40.2 Hz with no mode in between, so plan on real bass trapping.
Where do bass traps go in a 10 by 28 ft room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 25.0 Hz mode itself would need about 11.3 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 25.0 Hz.
Do I need a big subwoofer for a 10x28 room?
Room size here mainly shapes where the modes land, not the sub size on its own; this room has 96 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 do some bass notes sound weak in a 10x28 room?
In this room, the main cause is that there is a gap of 20.1 Hz between 20.1 Hz and 40.2 Hz with no mode in between. 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 10 by 28 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 25.0 Hz, since that note's own quarter wavelength (about 11.3 ft) is too deep for any panel. Next, shift your listening position toward 10.6 ft from the front wall, then confirm progress with an REW sweep under 150 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.