Room Modes in a 14x15 ft Room with a 9 ft Ceiling

A 14 by 15 ft room with a 9 ft ceiling suits a bedroom theater or dedicated music room. Its lowest room mode sits at 37.5 Hz, set by the 15 ft length, the lowest note the room itself reinforces before any speaker or sub plays a thing.

Checked against every mode below 200 Hz, this room scores 66/100, a decent score, typical for a room this shape. The clearest issue is that two of its dimensions reinforce the same note near 187.6 Hz.

Lowest mode
37.5 Hz
Modes under 200 Hz
69
Schroeder frequency
173 Hz
Modal score
66/100

Mode spectrum

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

7 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 (9 ft)62.5 Hz125 Hz187.6 Hz250.1 Hz

What this means for your room

  • The lowest room mode is 37.5 Hz, set by the 15 ft length.
  • Your 15 ft length and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • Between 40.2 Hz and 55.0 Hz there are no modes at all, so notes in that 14.8 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 50 Hz third-octave band (1 mode against 2 in the band below), so bass will sound uneven from note to note.
  • The proportions (1 : 1.56 : 1.67) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 173 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 15 ft length and 9 ft ceiling land on top of each other near 187.6 Hz. That stack means one specific low note gets reinforced twice, so it jumps out over everything nearby.

For a home theater, expect that stacked note to color explosions and sub-bass hits unevenly rather than smoothly. For a music room, it means you cannot fully trust what you hear in the low end at the listening position, since a note that sounds loud in the room may be perfectly balanced on the recording.

The proportions (1 : 1.56 : 1.67) fall outside the Bolt area, the range room ratios usually spread modes best over, because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. That does not rule the room out, but treatment is doing more of the work here than shape is.

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 187.6 Hz the quarter wavelength is about 1.5 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 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 173 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

This room has 69 modes below 200 Hz, 12 axial, 34 tangential and 23 oblique. Read the axial rows as the ones you will hear most clearly. Tangential and oblique modes add texture but usually only become audible when they land close to an axial mode.

FrequencyTypeMode (length, width, height)
37.5 Hzaxial(1,0,0)
40.2 Hzaxial(0,1,0)
55 Hztangential(1,1,0)
62.5 Hzaxial(0,0,1)
72.9 Hztangential(1,0,1)
74.3 Hztangential(0,1,1)
75 Hzaxial(2,0,0)
80.4 Hzaxial(0,2,0)
83.3 Hzoblique(1,1,1)
85.1 Hztangential(2,1,0)
88.7 Hztangential(1,2,0)
97.7 Hztangential(2,0,1)
101.8 Hztangential(0,2,1)
105.6 Hzoblique(2,1,1)
108.5 Hzoblique(1,2,1)
110 Hztangential(2,2,0)
112.5 Hzaxial(3,0,0)
119.5 Hztangential(3,1,0)
120.6 Hzaxial(0,3,0)
125 Hzaxial(0,0,2)
126.3 Hztangential(1,3,0)
126.5 Hzoblique(2,2,1)
128.7 Hztangential(3,0,1)
130.5 Hztangential(1,0,2)
131.3 Hztangential(0,1,2)
134.9 Hzoblique(3,1,1)
135.8 Hztangential(0,3,1)
136.6 Hzoblique(1,1,2)
138.3 Hztangential(3,2,0)
140.9 Hzoblique(1,3,1)
142 Hztangential(2,3,0)
145.8 Hztangential(2,0,2)
148.6 Hztangential(0,2,2)
150 Hzaxial(4,0,0)
151.3 Hzoblique(2,1,2)
151.8 Hzoblique(3,2,1)
153.3 Hzoblique(1,2,2)
155.2 Hzoblique(2,3,1)
155.3 Hztangential(4,1,0)
160.8 Hzaxial(0,4,0)
162.5 Hztangential(4,0,1)
164.9 Hztangential(3,3,0)
165.1 Hztangential(1,4,0)
166.5 Hzoblique(2,2,2)
167.4 Hzoblique(4,1,1)
168.2 Hztangential(3,0,2)
170.2 Hztangential(4,2,0)
172.5 Hztangential(0,4,1)
173 Hzoblique(3,1,2)
173.7 Hztangential(0,3,2)
176.4 Hzoblique(3,3,1)
176.5 Hzoblique(1,4,1)
177.4 Hztangential(2,4,0)
177.7 Hzoblique(1,3,2)
181.3 Hzoblique(4,2,1)
186.4 Hzoblique(3,2,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(5,0,0)
188.1 Hzoblique(2,4,1)
189.2 Hzoblique(2,3,2)
191.3 Hztangential(1,0,3)
191.8 Hztangential(0,1,3)
191.8 Hztangential(5,1,0)
192.5 Hztangential(4,3,0)
195.3 Hztangential(4,0,2)
195.4 Hzoblique(1,1,3)
196.2 Hztangential(3,4,0)
197.7 Hztangential(5,0,1)
199.4 Hzoblique(4,1,2)

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 66/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 187.6 Hz.
Where should I put bass traps in a 14x15 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 187.6 Hz mode itself would need about 1.5 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 187.6 Hz.
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 (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 14x15 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 187.6 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 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 187.6 Hz, since that note's own quarter wavelength (about 1.5 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 173 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.