Room Modes in a 15x30 ft Room with a 10 ft Ceiling

At 15 by 30 ft with a 10 ft ceiling, this room works well as a dedicated home theater or media room. Its first room mode, the lowest note the walls naturally reinforce, falls at 18.8 Hz, set by the 30 ft length.

That puts its modal score at 10 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 37.5 Hz.

Lowest mode
18.8 Hz
Modes under 200 Hz
157
Schroeder frequency
112 Hz
Modal score
10/100

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 (15 ft)37.5 Hz75 Hz112.5 Hz150 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 is exactly twice your 15 ft width, so their modes stack at 37.5, 75.0, 112.5 Hz and 2 more below 200 Hz and bass at those notes 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.
  • Your 15 ft width and 10 ft ceiling height both resonate at 112.5 Hz, so bass at that note will be much louder than its neighbours.
  • Between 18.8 Hz and 37.5 Hz there are no modes at all, so notes in that 18.7 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 : 1.50 : 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 112 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 30 ft length and 15 ft width are close in size, their modes stack near 37.5 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 : 1.50 : 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. 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 37.5 Hz the quarter wavelength is about 7.5 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. Move your listening position off-center along the 30 ft length; roughly 11.4 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 112 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 15x30 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: 157 in all, 18 axial, 71 tangential and 68 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(0,1,0)
37.5 Hzaxial(2,0,0)
41.9 Hztangential(1,1,0)
53 Hztangential(2,1,0)
56.3 Hzaxial(0,0,1)
56.3 Hzaxial(3,0,0)
59.3 Hztangential(1,0,1)
67.6 Hztangential(0,1,1)
67.6 Hztangential(2,0,1)
67.6 Hztangential(3,1,0)
70.2 Hzoblique(1,1,1)
75 Hzaxial(0,2,0)
75 Hzaxial(4,0,0)
77.3 Hztangential(1,2,0)
77.3 Hzoblique(2,1,1)
79.6 Hztangential(3,0,1)
83.9 Hztangential(2,2,0)
83.9 Hztangential(4,1,0)
88 Hzoblique(3,1,1)
93.8 Hzaxial(5,0,0)
93.8 Hztangential(0,2,1)
93.8 Hztangential(3,2,0)
93.8 Hztangential(4,0,1)
95.6 Hzoblique(1,2,1)
101 Hztangential(5,1,0)
101 Hzoblique(2,2,1)
101 Hzoblique(4,1,1)
106.1 Hztangential(4,2,0)
109.4 Hztangential(5,0,1)
109.4 Hzoblique(3,2,1)
112.5 Hzaxial(0,0,2)
112.5 Hzaxial(0,3,0)
112.5 Hzaxial(6,0,0)
114.1 Hztangential(1,0,2)
114.1 Hztangential(1,3,0)
115.6 Hzoblique(5,1,1)
118.6 Hztangential(0,1,2)
118.6 Hztangential(2,0,2)
118.6 Hztangential(2,3,0)
118.6 Hztangential(6,1,0)
120.1 Hztangential(5,2,0)
120.1 Hzoblique(1,1,2)
120.1 Hzoblique(4,2,1)
124.4 Hzoblique(2,1,2)
125.8 Hztangential(0,3,1)
125.8 Hztangential(3,0,2)
125.8 Hztangential(3,3,0)
125.8 Hztangential(6,0,1)
127.2 Hzoblique(1,3,1)
131.3 Hzaxial(7,0,0)
131.3 Hzoblique(2,3,1)
131.3 Hzoblique(3,1,2)
131.3 Hzoblique(6,1,1)
132.6 Hzoblique(5,2,1)
135.2 Hztangential(0,2,2)
135.2 Hztangential(4,0,2)
135.2 Hztangential(4,3,0)
135.2 Hztangential(6,2,0)
136.5 Hztangential(7,1,0)
136.5 Hzoblique(1,2,2)
137.8 Hzoblique(3,3,1)
140.4 Hzoblique(2,2,2)
140.4 Hzoblique(4,1,2)
142.8 Hztangential(7,0,1)
146.5 Hztangential(5,0,2)
146.5 Hztangential(5,3,0)
146.5 Hzoblique(3,2,2)
146.5 Hzoblique(4,3,1)
146.5 Hzoblique(6,2,1)
147.7 Hzoblique(7,1,1)
150 Hzaxial(0,4,0)
150 Hzaxial(8,0,0)
151.2 Hztangential(1,4,0)
151.2 Hztangential(7,2,0)
151.2 Hzoblique(5,1,2)
154.7 Hztangential(2,4,0)
154.7 Hztangential(8,1,0)
154.7 Hzoblique(4,2,2)
156.9 Hzoblique(5,3,1)
159.1 Hztangential(0,3,2)
159.1 Hztangential(6,0,2)
159.1 Hztangential(6,3,0)
160.2 Hztangential(0,4,1)
160.2 Hztangential(3,4,0)
160.2 Hztangential(8,0,1)
160.2 Hzoblique(1,3,2)
161.3 Hzoblique(1,4,1)
161.3 Hzoblique(7,2,1)
163.5 Hzoblique(2,3,2)
163.5 Hzoblique(6,1,2)
164.6 Hzoblique(2,4,1)
164.6 Hzoblique(5,2,2)
164.6 Hzoblique(8,1,1)
167.8 Hztangential(4,4,0)
167.8 Hztangential(8,2,0)
168.8 Hzaxial(0,0,3)
168.8 Hzaxial(9,0,0)
168.8 Hzoblique(3,3,2)
168.8 Hzoblique(6,3,1)
169.8 Hztangential(1,0,3)
169.8 Hzoblique(3,4,1)
172.9 Hztangential(0,1,3)
172.9 Hztangential(2,0,3)
172.9 Hztangential(7,0,2)
172.9 Hztangential(7,3,0)
172.9 Hztangential(9,1,0)
173.9 Hzoblique(1,1,3)
175.9 Hzoblique(4,3,2)
175.9 Hzoblique(6,2,2)
176.9 Hztangential(5,4,0)
176.9 Hzoblique(2,1,3)
176.9 Hzoblique(4,4,1)
176.9 Hzoblique(7,1,2)
176.9 Hzoblique(8,2,1)
177.9 Hztangential(3,0,3)
177.9 Hztangential(9,0,1)
181.8 Hzoblique(3,1,3)
181.8 Hzoblique(7,3,1)
181.8 Hzoblique(9,1,1)
184.7 Hztangential(0,2,3)
184.7 Hztangential(4,0,3)
184.7 Hztangential(9,2,0)
184.7 Hzoblique(5,3,2)
185.7 Hzoblique(1,2,3)
185.7 Hzoblique(5,4,1)
187.6 Hzaxial(0,5,0)
187.6 Hzaxial(10,0,0)
187.6 Hztangential(0,4,2)
187.6 Hztangential(6,4,0)
187.6 Hztangential(8,0,2)
187.6 Hztangential(8,3,0)
188.5 Hztangential(1,5,0)
188.5 Hzoblique(1,4,2)
188.5 Hzoblique(2,2,3)
188.5 Hzoblique(4,1,3)
188.5 Hzoblique(7,2,2)
191.3 Hztangential(10,1,0)
191.3 Hztangential(2,5,0)
191.3 Hzoblique(2,4,2)
191.3 Hzoblique(8,1,2)
193.1 Hztangential(5,0,3)
193.1 Hzoblique(3,2,3)
193.1 Hzoblique(9,2,1)
194.9 Hzoblique(6,3,2)
195.8 Hztangential(0,5,1)
195.8 Hztangential(10,0,1)
195.8 Hztangential(3,5,0)
195.8 Hzoblique(3,4,2)
195.8 Hzoblique(6,4,1)
195.8 Hzoblique(8,3,1)
196.7 Hzoblique(1,5,1)
196.7 Hzoblique(5,1,3)
199.4 Hztangential(7,4,0)
199.4 Hzoblique(10,1,1)
199.4 Hzoblique(2,5,1)
199.4 Hzoblique(4,2,3)

Questions about 15x30 rooms

Is a 15 by 30 ft room good for a music room or home theater?
This size is workable for a dedicated home theater or media room, but its modal score of 10/100 is low, driven by the fact that two of its dimensions reinforce the same note near 37.5 Hz. Go in expecting a serious treatment plan.
What is the best corner for bass traps in a 15x30 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 37.5 Hz mode itself would need about 7.5 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 37.5 Hz.
What size subwoofer does a 15x30 room need?
Subwoofer size is less about this room's 450 sq ft and more about the output headroom you want; room size mainly changes where the 157 modes below 200 Hz fall. A room this size needs more sub output to reach the same level as a smaller one, and running two subs at different spots evens out the response between seats.
Why is bass boomy in one spot in a 15 by 30 ft room?
Here it comes down to this: two of its dimensions reinforce the same note near 37.5 Hz. That is a property of the room's shape, not your equipment, so treatment, not a better sub, is the fix.
What is the fastest fix for bass in a 15x30 room?
Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 37.5 Hz, since that note's own quarter wavelength (about 7.5 ft) is too deep for any panel. After that, reposition your seat near 11.4 ft from the front wall and verify with REW below 112 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.