Room Modes in a 14x15 ft Room with an 8 ft Ceiling

This 14x15 ft room, 8 ft to the ceiling, is a common size for a bedroom theater or dedicated music room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 37.5 Hz, driven by the 15 ft length.

On the 0-100 modal score, this room comes in at 71, a decent score, typical for a room this shape. Before you treat anything, know that there is a gap of 15.3 Hz between 55.0 Hz and 70.3 Hz with no mode in between.

Lowest mode
37.5 Hz
Modes under 200 Hz
62
Schroeder frequency
183 Hz
Modal score
71/100

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 (15 ft)37.5 Hz75 Hz112.5 Hz150 Hz
Width (14 ft)40.2 Hz80.4 Hz120.6 Hz160.8 Hz
Ceiling height (8 ft)70.3 Hz140.7 Hz211 Hz281.3 Hz

What this means for your room

  • The lowest room mode is 37.5 Hz, set by the 15 ft length.
  • Between 55.0 Hz and 70.3 Hz there are no modes at all, so notes in that 15.3 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 50 and 63 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 : 1.75 : 1.88) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 183 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

No mode falls between 55.0 Hz and 70.3 Hz, a gap of 15.3 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 : 1.75 : 1.88, this room sits outside the Bolt area because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. 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.
  2. Full absorption at 50.0 Hz would take about 5.7 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. Do not sit dead-center on the 15 ft length. Start near 5.7 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 183 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 14x15 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: 62 in all, 11 axial, 30 tangential and 21 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)
37.5 Hzaxial(1,0,0)
40.2 Hzaxial(0,1,0)
55 Hztangential(1,1,0)
70.3 Hzaxial(0,0,1)
75 Hzaxial(2,0,0)
79.7 Hztangential(1,0,1)
80.4 Hzaxial(0,2,0)
81 Hztangential(0,1,1)
85.1 Hztangential(2,1,0)
88.7 Hztangential(1,2,0)
89.3 Hzoblique(1,1,1)
102.8 Hztangential(2,0,1)
106.8 Hztangential(0,2,1)
110 Hztangential(2,2,0)
110.4 Hzoblique(2,1,1)
112.5 Hzaxial(3,0,0)
113.2 Hzoblique(1,2,1)
119.5 Hztangential(3,1,0)
120.6 Hzaxial(0,3,0)
126.3 Hztangential(1,3,0)
130.5 Hzoblique(2,2,1)
132.7 Hztangential(3,0,1)
138.3 Hztangential(3,2,0)
138.7 Hzoblique(3,1,1)
139.6 Hztangential(0,3,1)
140.7 Hzaxial(0,0,2)
142 Hztangential(2,3,0)
144.5 Hzoblique(1,3,1)
145.6 Hztangential(1,0,2)
146.3 Hztangential(0,1,2)
150 Hzaxial(4,0,0)
151 Hzoblique(1,1,2)
155.1 Hzoblique(3,2,1)
155.3 Hztangential(4,1,0)
158.5 Hzoblique(2,3,1)
159.4 Hztangential(2,0,2)
160.8 Hzaxial(0,4,0)
162 Hztangential(0,2,2)
164.4 Hzoblique(2,1,2)
164.9 Hztangential(3,3,0)
165.1 Hztangential(1,4,0)
165.7 Hztangential(4,0,1)
166.3 Hzoblique(1,2,2)
170.2 Hztangential(4,2,0)
170.5 Hzoblique(4,1,1)
175.5 Hztangential(0,4,1)
177.4 Hztangential(2,4,0)
178.5 Hzoblique(2,2,2)
179.3 Hzoblique(3,3,1)
179.4 Hzoblique(1,4,1)
180.1 Hztangential(3,0,2)
184.2 Hzoblique(4,2,1)
184.6 Hzoblique(3,1,2)
185.3 Hztangential(0,3,2)
187.6 Hzaxial(5,0,0)
189 Hzoblique(1,3,2)
190.8 Hzoblique(2,4,1)
191.8 Hztangential(5,1,0)
192.5 Hztangential(4,3,0)
196.2 Hztangential(3,4,0)
197.3 Hzoblique(3,2,2)
199.9 Hzoblique(2,3,2)

Questions about 14x15 rooms

Will a 14x15 room work for a home theater?
This size suits a bedroom theater or dedicated music room, though the 71/100 modal score signals some work ahead, mainly because there is a gap of 15.3 Hz between 55.0 Hz and 70.3 Hz with no mode in between.
Where should I put bass traps in a 14x15 room?
The four vertical corners first. Full absorption at 50.0 Hz would take roughly 5.7 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 14 by 15 ft room?
There is no fixed sub size tied to 210 sq ft; that number mostly sets this room's mode frequencies (62 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 14x15 room have weak bass notes?
The short answer for this room: there is a gap of 15.3 Hz between 55.0 Hz and 70.3 Hz with no mode in between. 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 14x15 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 50.0 Hz, since that note's own quarter wavelength (about 5.7 ft) is too deep for any panel. From there, move your seat to about 5.7 ft from the front wall, then measure with REW below 183 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.