Room Modes in a 15x21 ft Room with a 9 ft Ceiling

At 15 by 21 ft with a 9 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 26.8 Hz, set by the 21 ft length.

That puts its modal score at 55 out of 100, a rough score, worth planning around. The main thing to plan around: two of its dimensions reinforce the same note near 187.6 Hz.

Lowest mode
26.8 Hz
Modes under 200 Hz
103
Schroeder frequency
141 Hz
Modal score
55/100

Mode spectrum

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

5 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 (21 ft)26.8 Hz53.6 Hz80.4 Hz107.2 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 26.8 Hz, set by the 21 ft length.
  • Your 21 ft length and 15 ft width both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • Your 21 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.
  • 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 26.8 Hz and 37.5 Hz there are no modes at all, so notes in that 10.7 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 31.5 Hz third-octave band (0 modes against 1 in the band below), so bass will sound uneven from note to note.
  • The proportions (1 : 1.67 : 2.33) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 141 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 21 ft length and 15 ft width share a mode near 187.6 Hz. When two dimensions resonate at the same note, their boosts add up, so that note stacks on top of itself and comes out noticeably louder than the bass around it.

If you use this room for movies, that stacked note tends to show up as boom on specific low-frequency effects rather than an even rumble. If it is a music or mixing room, that same spot makes some bass notes read louder on playback than they actually are on the recording, which makes mixing bass by ear risky here.

Height, width and length work out to 1 : 1.67 : 2.33, which lands inside the Bolt area. Rooms with that proportion usually need less correction than a room shaped like a cube or a hallway.

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 21 ft length. Start near 8 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 141 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 15x21 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 103 modes below 200 Hz, 15 axial, 49 tangential and 39 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)
26.8 Hzaxial(1,0,0)
37.5 Hzaxial(0,1,0)
46.1 Hztangential(1,1,0)
53.6 Hzaxial(2,0,0)
62.5 Hzaxial(0,0,1)
65.4 Hztangential(2,1,0)
68 Hztangential(1,0,1)
72.9 Hztangential(0,1,1)
75 Hzaxial(0,2,0)
77.7 Hzoblique(1,1,1)
79.7 Hztangential(1,2,0)
80.4 Hzaxial(3,0,0)
82.3 Hztangential(2,0,1)
88.7 Hztangential(3,1,0)
90.5 Hzoblique(2,1,1)
92.2 Hztangential(2,2,0)
97.7 Hztangential(0,2,1)
101.3 Hzoblique(1,2,1)
101.8 Hztangential(3,0,1)
107.2 Hzaxial(4,0,0)
108.5 Hzoblique(3,1,1)
110 Hztangential(3,2,0)
111.4 Hzoblique(2,2,1)
112.5 Hzaxial(0,3,0)
113.5 Hztangential(4,1,0)
115.7 Hztangential(1,3,0)
124.1 Hztangential(4,0,1)
124.6 Hztangential(2,3,0)
125 Hzaxial(0,0,2)
126.5 Hzoblique(3,2,1)
127.9 Hztangential(1,0,2)
128.7 Hztangential(0,3,1)
129.6 Hzoblique(4,1,1)
130.5 Hztangential(0,1,2)
130.8 Hztangential(4,2,0)
131.5 Hzoblique(1,3,1)
133.3 Hzoblique(1,1,2)
134 Hzaxial(5,0,0)
136 Hztangential(2,0,2)
138.3 Hztangential(3,3,0)
139.1 Hztangential(5,1,0)
139.4 Hzoblique(2,3,1)
141.1 Hzoblique(2,1,2)
145 Hzoblique(4,2,1)
145.8 Hztangential(0,2,2)
147.8 Hztangential(5,0,1)
148.3 Hzoblique(1,2,2)
148.6 Hztangential(3,0,2)
150 Hzaxial(0,4,0)
151.8 Hzoblique(3,3,1)
152.4 Hztangential(1,4,0)
152.5 Hzoblique(5,1,1)
153.3 Hzoblique(3,1,2)
153.5 Hztangential(5,2,0)
155.4 Hztangential(4,3,0)
155.4 Hzoblique(2,2,2)
159.3 Hztangential(2,4,0)
160.8 Hzaxial(6,0,0)
162.5 Hztangential(0,4,1)
164.7 Hztangential(4,0,2)
164.7 Hzoblique(1,4,1)
165.1 Hztangential(6,1,0)
165.8 Hzoblique(5,2,1)
166.5 Hzoblique(3,2,2)
167.5 Hzoblique(4,3,1)
168.2 Hztangential(0,3,2)
168.9 Hzoblique(4,1,2)
170.2 Hztangential(3,4,0)
170.3 Hzoblique(1,3,2)
171.2 Hzoblique(2,4,1)
172.5 Hztangential(6,0,1)
175 Hztangential(5,3,0)
176.5 Hzoblique(2,3,2)
176.5 Hzoblique(6,1,1)
177.4 Hztangential(6,2,0)
181 Hzoblique(4,2,2)
181.3 Hzoblique(3,4,1)
183.3 Hztangential(5,0,2)
184.4 Hztangential(4,4,0)
185.8 Hzoblique(5,3,1)
186.4 Hzoblique(3,3,2)
187.1 Hzoblique(5,1,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,5,0)
187.6 Hzaxial(7,0,0)
188.1 Hzoblique(6,2,1)
189.5 Hztangential(1,0,3)
189.5 Hztangential(1,5,0)
191.3 Hztangential(0,1,3)
191.3 Hztangential(7,1,0)
193.1 Hzoblique(1,1,3)
194.7 Hzoblique(4,4,1)
195.1 Hztangential(2,0,3)
195.1 Hztangential(2,5,0)
195.3 Hztangential(0,4,2)
196.2 Hztangential(6,3,0)
197.1 Hzoblique(1,4,2)
197.7 Hztangential(0,5,1)
197.7 Hztangential(7,0,1)
198 Hzoblique(5,2,2)
198.6 Hzoblique(2,1,3)
199.5 Hzoblique(1,5,1)
199.5 Hzoblique(4,3,2)

Questions about 15x21 rooms

Will a 15x21 room work for a home theater?
This size suits a dedicated home theater or media room, though the 55/100 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 15x21 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 21 ft room?
There is no fixed sub size tied to 315 sq ft; that number mostly sets this room's mode frequencies (103 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 15x21 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 15x21 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 8 ft from the front wall, then measure with REW below 141 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.