Room Modes in a 21x30 ft Room with a 9 ft Ceiling

At 21 by 30 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 18.8 Hz, set by the 30 ft length.

That puts its modal score at 60 out of 100, a decent score, typical for a room this shape. The main thing to plan around: two of its dimensions reinforce the same note near 131.3 Hz.

Lowest mode
18.8 Hz
Modes under 200 Hz
195
Schroeder frequency
100 Hz
Modal score
60/100

Mode spectrum

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

3 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 (21 ft)26.8 Hz53.6 Hz80.4 Hz107.2 Hz
Ceiling height (9 ft)62.5 Hz125 Hz187.6 Hz250.1 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 and 21 ft width both resonate near 131.3 and 187.6 Hz, so bass at those notes will be much louder than its neighbours.
  • Your 30 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 21 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.
  • The proportions (1 : 2.33 : 3.33) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 100 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 30 ft length and 21 ft width share a mode near 131.3 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 : 2.33 : 3.33, 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. Full absorption at 131.3 Hz would take about 2.2 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 30 ft length. Start near 11.4 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 100 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 21x30 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: 195 in all, 20 axial, 89 tangential and 86 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)
26.8 Hzaxial(0,1,0)
32.7 Hztangential(1,1,0)
37.5 Hzaxial(2,0,0)
46.1 Hztangential(2,1,0)
53.6 Hzaxial(0,2,0)
56.3 Hzaxial(3,0,0)
56.8 Hztangential(1,2,0)
62.3 Hztangential(3,1,0)
62.5 Hzaxial(0,0,1)
65.3 Hztangential(1,0,1)
65.4 Hztangential(2,2,0)
68 Hztangential(0,1,1)
70.6 Hzoblique(1,1,1)
72.9 Hztangential(2,0,1)
75 Hzaxial(4,0,0)
77.7 Hztangential(3,2,0)
77.7 Hzoblique(2,1,1)
79.7 Hztangential(4,1,0)
80.4 Hzaxial(0,3,0)
82.3 Hztangential(0,2,1)
82.5 Hztangential(1,3,0)
84.1 Hztangential(3,0,1)
84.5 Hzoblique(1,2,1)
88.3 Hzoblique(3,1,1)
88.7 Hztangential(2,3,0)
90.5 Hzoblique(2,2,1)
92.2 Hztangential(4,2,0)
93.8 Hzaxial(5,0,0)
97.5 Hztangential(5,1,0)
97.7 Hztangential(4,0,1)
98.1 Hztangential(3,3,0)
99.7 Hzoblique(3,2,1)
101.3 Hzoblique(4,1,1)
101.8 Hztangential(0,3,1)
103.5 Hzoblique(1,3,1)
107.2 Hzaxial(0,4,0)
108 Hztangential(5,2,0)
108.5 Hzoblique(2,3,1)
108.8 Hztangential(1,4,0)
110 Hztangential(4,3,0)
111.4 Hzoblique(4,2,1)
112.5 Hzaxial(6,0,0)
112.7 Hztangential(5,0,1)
113.5 Hztangential(2,4,0)
115.7 Hztangential(6,1,0)
115.8 Hzoblique(5,1,1)
116.3 Hzoblique(3,3,1)
121 Hztangential(3,4,0)
123.5 Hztangential(5,3,0)
124.1 Hztangential(0,4,1)
124.6 Hztangential(6,2,0)
124.8 Hzoblique(5,2,1)
125 Hzaxial(0,0,2)
125.5 Hzoblique(1,4,1)
126.4 Hztangential(1,0,2)
126.5 Hzoblique(4,3,1)
127.9 Hztangential(0,1,2)
128.7 Hztangential(6,0,1)
129.2 Hzoblique(1,1,2)
129.6 Hzoblique(2,4,1)
130.5 Hztangential(2,0,2)
130.8 Hztangential(4,4,0)
131.3 Hzaxial(7,0,0)
131.5 Hzoblique(6,1,1)
133.3 Hzoblique(2,1,2)
134 Hzaxial(0,5,0)
134 Hztangential(7,1,0)
135.3 Hztangential(1,5,0)
136 Hztangential(0,2,2)
136.2 Hzoblique(3,4,1)
137.1 Hztangential(3,0,2)
137.3 Hzoblique(1,2,2)
138.3 Hztangential(6,3,0)
138.4 Hzoblique(5,3,1)
139.1 Hztangential(2,5,0)
139.4 Hzoblique(6,2,1)
139.7 Hzoblique(3,1,2)
141.1 Hzoblique(2,2,2)
141.8 Hztangential(7,2,0)
142.4 Hztangential(5,4,0)
145 Hzoblique(4,4,1)
145.3 Hztangential(3,5,0)
145.4 Hztangential(7,0,1)
145.8 Hztangential(4,0,2)
147.2 Hzoblique(3,2,2)
147.8 Hztangential(0,5,1)
147.9 Hzoblique(7,1,1)
148.3 Hzoblique(4,1,2)
148.6 Hztangential(0,3,2)
149 Hzoblique(1,5,1)
149.8 Hzoblique(1,3,2)
150 Hzaxial(8,0,0)
151.8 Hzoblique(6,3,1)
152.4 Hztangential(8,1,0)
152.5 Hzoblique(2,5,1)
153.3 Hzoblique(2,3,2)
153.5 Hztangential(4,5,0)
153.9 Hztangential(7,3,0)
155 Hzoblique(7,2,1)
155.4 Hztangential(6,4,0)
155.4 Hzoblique(4,2,2)
155.5 Hzoblique(5,4,1)
156.3 Hztangential(5,0,2)
158.2 Hzoblique(3,5,1)
158.6 Hzoblique(5,1,2)
158.9 Hzoblique(3,3,2)
159.3 Hztangential(8,2,0)
160.8 Hzaxial(0,6,0)
161.9 Hztangential(1,6,0)
162.5 Hztangential(8,0,1)
163.5 Hztangential(5,5,0)
164.7 Hztangential(0,4,2)
164.7 Hzoblique(8,1,1)
165.1 Hztangential(2,6,0)
165.2 Hzoblique(5,2,2)
165.7 Hzoblique(1,4,2)
165.8 Hzoblique(4,5,1)
166.2 Hzoblique(7,3,1)
166.5 Hzoblique(4,3,2)
167.5 Hzoblique(6,4,1)
168.2 Hztangential(6,0,2)
168.8 Hzaxial(9,0,0)
168.9 Hzoblique(2,4,2)
169.5 Hztangential(7,4,0)
170.2 Hztangential(8,3,0)
170.3 Hztangential(3,6,0)
170.3 Hzoblique(6,1,2)
170.9 Hztangential(9,1,0)
171.2 Hzoblique(8,2,1)
172.5 Hztangential(0,6,1)
173.5 Hzoblique(1,6,1)
174 Hzoblique(3,4,2)
175 Hztangential(6,5,0)
175.1 Hzoblique(5,5,1)
175.8 Hzoblique(5,3,2)
176.5 Hzoblique(2,6,1)
176.5 Hzoblique(6,2,2)
177.1 Hztangential(9,2,0)
177.4 Hztangential(4,6,0)
180 Hztangential(9,0,1)
180.6 Hzoblique(7,4,1)
181 Hzoblique(4,4,2)
181.3 Hztangential(7,0,2)
181.3 Hzoblique(8,3,1)
181.4 Hzoblique(3,6,1)
182 Hzoblique(9,1,1)
183.3 Hztangential(0,5,2)
183.3 Hzoblique(7,1,2)
184.2 Hzoblique(1,5,2)
184.4 Hztangential(8,4,0)
185.8 Hzoblique(6,5,1)
186.1 Hztangential(5,6,0)
186.4 Hzoblique(6,3,2)
187 Hztangential(9,3,0)
187.1 Hzoblique(2,5,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,7,0)
187.6 Hzaxial(10,0,0)
187.6 Hztangential(7,5,0)
187.8 Hzoblique(9,2,1)
188.1 Hzoblique(4,6,1)
188.5 Hztangential(1,0,3)
188.5 Hztangential(1,7,0)
189.1 Hzoblique(7,2,2)
189.5 Hztangential(0,1,3)
189.5 Hztangential(10,1,0)
189.5 Hzoblique(5,4,2)
190.4 Hzoblique(1,1,3)
191.3 Hztangential(2,0,3)
191.3 Hztangential(2,7,0)
191.7 Hzoblique(3,5,2)
193.1 Hzoblique(2,1,3)
194.7 Hzoblique(8,4,1)
195.1 Hztangential(0,2,3)
195.1 Hztangential(10,2,0)
195.3 Hztangential(8,0,2)
195.8 Hztangential(3,0,3)
195.8 Hztangential(3,7,0)
196 Hzoblique(1,2,3)
196.2 Hztangential(6,6,0)
196.3 Hzoblique(5,6,1)
197.1 Hzoblique(8,1,2)
197.1 Hzoblique(9,3,1)
197.6 Hzoblique(3,1,3)
197.7 Hztangential(0,7,1)
197.7 Hztangential(10,0,1)
197.7 Hzoblique(7,5,1)
198 Hzoblique(4,5,2)
198.3 Hzoblique(7,3,2)
198.6 Hzoblique(1,7,1)
198.6 Hzoblique(2,2,3)
199.5 Hzoblique(10,1,1)
199.5 Hzoblique(6,4,2)
199.9 Hztangential(9,4,0)

Questions about 21x30 rooms

Will a 21x30 room work for a home theater?
This size suits a dedicated home theater or media room, though the 60/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 131.3 Hz.
Where should I put bass traps in a 21x30 room?
The four vertical corners first. Full absorption at 131.3 Hz would take roughly 2.2 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 21 by 30 ft room?
There is no fixed sub size tied to 630 sq ft; that number mostly sets this room's mode frequencies (195 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 21x30 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 131.3 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 21x30 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 131.3 Hz, since that note's own quarter wavelength (about 2.2 ft) is too deep for any panel. From there, move your seat to about 11.4 ft from the front wall, then measure with REW below 100 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.