Room Modes in a 15x16 ft Room with a 9 ft Ceiling

A 15 by 16 ft room with a 9 ft ceiling suits a bedroom theater or dedicated music room. Its lowest room mode sits at 35.2 Hz, set by the 16 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 61/100, 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
35.2 Hz
Modes under 200 Hz
79
Schroeder frequency
162 Hz
Modal score
61/100

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 (16 ft)35.2 Hz70.3 Hz105.5 Hz140.7 Hz
Width (15 ft)37.5 Hz75 Hz112.5 Hz150 Hz
Ceiling height (9 ft)62.5 Hz125 Hz187.6 Hz250.1 Hz

What this means for your room

  • The lowest room mode is 35.2 Hz, set by the 16 ft length.
  • Your 15 ft width and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • Between 37.5 Hz and 51.4 Hz there are no modes at all, so notes in that 13.9 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 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 : 1.67 : 1.78) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 162 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 15 ft width 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 : 1.67 : 1.78) 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. 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 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. Move your listening position off-center along the 16 ft length; roughly 6.1 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 162 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 15x16 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 79 modes below 200 Hz, 13 axial, 38 tangential and 28 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)
35.2 Hzaxial(1,0,0)
37.5 Hzaxial(0,1,0)
51.4 Hztangential(1,1,0)
62.5 Hzaxial(0,0,1)
70.3 Hzaxial(2,0,0)
71.7 Hztangential(1,0,1)
72.9 Hztangential(0,1,1)
75 Hzaxial(0,2,0)
79.7 Hztangential(2,1,0)
80.9 Hzoblique(1,1,1)
82.9 Hztangential(1,2,0)
94.1 Hztangential(2,0,1)
97.7 Hztangential(0,2,1)
101.3 Hzoblique(2,1,1)
102.8 Hztangential(2,2,0)
103.8 Hzoblique(1,2,1)
105.5 Hzaxial(3,0,0)
112 Hztangential(3,1,0)
112.5 Hzaxial(0,3,0)
117.9 Hztangential(1,3,0)
120.3 Hzoblique(2,2,1)
122.6 Hztangential(3,0,1)
125 Hzaxial(0,0,2)
128.2 Hzoblique(3,1,1)
128.7 Hztangential(0,3,1)
129.5 Hztangential(3,2,0)
129.9 Hztangential(1,0,2)
130.5 Hztangential(0,1,2)
132.7 Hztangential(2,3,0)
133.4 Hzoblique(1,3,1)
135.2 Hzoblique(1,1,2)
140.7 Hzaxial(4,0,0)
143.5 Hztangential(2,0,2)
143.8 Hzoblique(3,2,1)
145.6 Hztangential(4,1,0)
145.8 Hztangential(0,2,2)
146.7 Hzoblique(2,3,1)
148.3 Hzoblique(2,1,2)
150 Hzaxial(0,4,0)
150 Hzoblique(1,2,2)
153.9 Hztangential(4,0,1)
154.1 Hztangential(1,4,0)
154.3 Hztangential(3,3,0)
158.4 Hzoblique(4,1,1)
159.4 Hztangential(4,2,0)
161.9 Hzoblique(2,2,2)
162.5 Hztangential(0,4,1)
163.6 Hztangential(3,0,2)
165.7 Hztangential(2,4,0)
166.3 Hzoblique(1,4,1)
166.4 Hzoblique(3,3,1)
167.8 Hzoblique(3,1,2)
168.2 Hztangential(0,3,2)
171.2 Hzoblique(4,2,1)
171.9 Hzoblique(1,3,2)
175.8 Hzaxial(5,0,0)
177.1 Hzoblique(2,4,1)
179.8 Hztangential(5,1,0)
180 Hzoblique(3,2,2)
180.1 Hztangential(4,3,0)
182.3 Hzoblique(2,3,2)
183.4 Hztangential(3,4,0)
186.6 Hztangential(5,0,1)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,5,0)
188.2 Hztangential(4,0,2)
190.3 Hzoblique(5,1,1)
190.7 Hzoblique(4,3,1)
190.8 Hztangential(1,0,3)
190.8 Hztangential(1,5,0)
191.2 Hztangential(5,2,0)
191.3 Hztangential(0,1,3)
191.9 Hzoblique(4,1,2)
193.8 Hzoblique(3,4,1)
194.5 Hzoblique(1,1,3)
195.3 Hztangential(0,4,2)
197.7 Hztangential(0,5,1)
198.5 Hzoblique(1,4,2)
198.6 Hzoblique(3,3,2)

Questions about 15x16 rooms

Will a 15x16 room work for a home theater?
This size suits a bedroom theater or dedicated music room, though the 61/100 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 15x16 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 15 by 16 ft room?
There is no fixed sub size tied to 240 sq ft; that number mostly sets this room's mode frequencies (79 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 15x16 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 15x16 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 6.1 ft from the front wall, then measure with REW below 162 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.