Room Modes in a 9x30 ft Room with a 10 ft Ceiling

This 9x30 ft room, 10 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 18.8 Hz, driven by the 30 ft length.

On the 0-100 modal score, this room comes in at 15, 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 56.3 Hz.

Lowest mode
18.8 Hz
Modes under 200 Hz
101
Schroeder frequency
145 Hz
Modal score
15/100

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 (30 ft)18.8 Hz37.5 Hz56.3 Hz75 Hz
Width (9 ft)62.5 Hz125 Hz187.6 Hz250.1 Hz
Ceiling height (10 ft)56.3 Hz112.5 Hz168.8 Hz225.1 Hz

What this means for your room

  • The lowest room mode is 18.8 Hz, set by the 30 ft length.
  • Your 30 ft length and 9 ft width both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • Your 30 ft length is exactly three times your 10 ft ceiling height, so their modes stack at 56.3, 112.5 and 168.8 Hz and bass at those notes will be much louder than its neighbours.
  • Between 37.5 Hz and 56.3 Hz there are no modes at all, so notes in that 18.8 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 : 0.90 : 3.00) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
  • Below about 145 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 30 ft length and 10 ft ceiling are close in size, their modes stack near 56.3 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 : 0.90 : 3.00, 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, ceiling height included.
  2. Full absorption at 56.3 Hz would take about 5 ft of trap depth, well past what any room can fit. Fill the corners as deep as you reasonably can (6 to 12 in, with an air gap behind), then lean on a membrane trap tuned near that frequency, your seat position and a second subwoofer with EQ to tame the note itself.
  3. Avoid the exact middle of the 30 ft length for your seat or mix position; try around 11.4 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 145 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 9x30 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: 101 in all, 16 axial, 50 tangential and 35 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)
18.8 Hzaxial(1,0,0)
37.5 Hzaxial(2,0,0)
56.3 Hzaxial(0,0,1)
56.3 Hzaxial(3,0,0)
59.3 Hztangential(1,0,1)
62.5 Hzaxial(0,1,0)
65.3 Hztangential(1,1,0)
67.6 Hztangential(2,0,1)
72.9 Hztangential(2,1,0)
75 Hzaxial(4,0,0)
79.6 Hztangential(3,0,1)
84.1 Hztangential(0,1,1)
84.1 Hztangential(3,1,0)
86.2 Hzoblique(1,1,1)
92.1 Hzoblique(2,1,1)
93.8 Hzaxial(5,0,0)
93.8 Hztangential(4,0,1)
97.7 Hztangential(4,1,0)
101.2 Hzoblique(3,1,1)
109.4 Hztangential(5,0,1)
112.5 Hzaxial(0,0,2)
112.5 Hzaxial(6,0,0)
112.7 Hztangential(5,1,0)
112.7 Hzoblique(4,1,1)
114.1 Hztangential(1,0,2)
118.6 Hztangential(2,0,2)
125 Hzaxial(0,2,0)
125.8 Hztangential(3,0,2)
125.8 Hztangential(6,0,1)
126 Hzoblique(5,1,1)
126.4 Hztangential(1,2,0)
128.7 Hztangential(0,1,2)
128.7 Hztangential(6,1,0)
130.1 Hzoblique(1,1,2)
130.5 Hztangential(2,2,0)
131.3 Hzaxial(7,0,0)
134.1 Hzoblique(2,1,2)
135.2 Hztangential(4,0,2)
137.1 Hztangential(0,2,1)
137.1 Hztangential(3,2,0)
138.4 Hzoblique(1,2,1)
140.5 Hzoblique(3,1,2)
140.5 Hzoblique(6,1,1)
142.2 Hzoblique(2,2,1)
142.8 Hztangential(7,0,1)
145.4 Hztangential(7,1,0)
145.8 Hztangential(4,2,0)
146.5 Hztangential(5,0,2)
148.2 Hzoblique(3,2,1)
149 Hzoblique(4,1,2)
150 Hzaxial(8,0,0)
155.9 Hzoblique(7,1,1)
156.3 Hztangential(5,2,0)
156.3 Hzoblique(4,2,1)
159.1 Hztangential(6,0,2)
159.3 Hzoblique(5,1,2)
160.2 Hztangential(8,0,1)
162.5 Hztangential(8,1,0)
166.1 Hzoblique(5,2,1)
168.2 Hztangential(0,2,2)
168.2 Hztangential(6,2,0)
168.8 Hzaxial(0,0,3)
168.8 Hzaxial(9,0,0)
169.3 Hzoblique(1,2,2)
169.8 Hztangential(1,0,3)
171 Hzoblique(6,1,2)
172 Hzoblique(8,1,1)
172.4 Hzoblique(2,2,2)
172.9 Hztangential(2,0,3)
172.9 Hztangential(7,0,2)
177.4 Hzoblique(3,2,2)
177.4 Hzoblique(6,2,1)
177.9 Hztangential(3,0,3)
177.9 Hztangential(9,0,1)
180 Hztangential(0,1,3)
180 Hztangential(9,1,0)
181 Hzoblique(1,1,3)
181.3 Hztangential(7,2,0)
183.9 Hzoblique(2,1,3)
183.9 Hzoblique(7,1,2)
184.2 Hzoblique(4,2,2)
184.7 Hztangential(4,0,3)
187.6 Hzaxial(0,3,0)
187.6 Hzaxial(10,0,0)
187.6 Hztangential(8,0,2)
188.5 Hztangential(1,3,0)
188.6 Hzoblique(3,1,3)
188.6 Hzoblique(9,1,1)
189.8 Hzoblique(7,2,1)
191.3 Hztangential(2,3,0)
192.6 Hzoblique(5,2,2)
193.1 Hztangential(5,0,3)
195 Hzoblique(4,1,3)
195.3 Hztangential(8,2,0)
195.8 Hztangential(0,3,1)
195.8 Hztangential(10,0,1)
195.8 Hztangential(3,3,0)
196.7 Hzoblique(1,3,1)
197.7 Hztangential(10,1,0)
197.7 Hzoblique(8,1,2)
199.4 Hzoblique(2,3,1)

Questions about 9x30 rooms

Will a 9x30 room work for a home theater?
You can use this room as a dedicated home theater or media room, but its bass will fight you: a 15/100 modal score, mainly because two of its dimensions reinforce the same note near 56.3 Hz, means committed corner trapping and careful seat placement are not optional here.
Where should I put bass traps in a 9x30 room?
The four vertical corners first. Full absorption at 56.3 Hz would take roughly 5 ft of trap depth, so treat that note with a tuned membrane or pressure trap instead, and use thick porous corner traps (6 to 12 in) for everything above it.
What subwoofer size is right for a 9 by 30 ft room?
There is no fixed sub size tied to 270 sq ft; that number mostly sets this room's mode frequencies (101 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 9x30 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 56.3 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 9x30 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 56.3 Hz, since that note's own quarter wavelength (about 5 ft) is too deep for any panel. From there, move your seat to about 11.4 ft from the front wall, then measure with REW below 145 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.