Room Modes in a 21x26 ft Room with a 9 ft Ceiling

At 21 by 26 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 21.6 Hz, set by the 26 ft length.

That puts its modal score at 75 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 107.2 Hz.

Lowest mode
21.6 Hz
Modes under 200 Hz
169
Schroeder frequency
107 Hz
Modal score
75/100

Mode spectrum

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

2 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 (26 ft)21.6 Hz43.3 Hz64.9 Hz86.6 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 21.6 Hz, set by the 26 ft length.
  • Your 26 ft length and 21 ft width both resonate near 107.2 Hz, so bass at that note will be much louder than its neighbours.
  • Your 26 ft length is almost exactly three times your 9 ft ceiling height, so their modes fall close together without quite stacking.
  • 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 : 2.89) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 107 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 26 ft length and 21 ft width share a mode near 107.2 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 : 2.89, 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. Put your first traps in the four vertical corners where floor meets ceiling; that is where every mode in this room reaches its loudest point, ceiling height included.
  2. At 107.2 Hz the quarter wavelength is about 2.6 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. Avoid the exact middle of the 26 ft length for your seat or mix position; try around 9.9 ft from the front wall (38% of the length) as a starting point, then nudge from there by ear.
  4. Test more than one subwoofer position. Corner placement drives the most output but also the least even bass; moving it along a wall or using two subs at different spots tends to average out this room’s peaks.
  5. Confirm the fix with an REW measurement at the listening position, paying closest attention below 107 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 21x26 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 169 modes below 200 Hz, 19 axial, 78 tangential and 72 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)
21.6 Hzaxial(1,0,0)
26.8 Hzaxial(0,1,0)
34.4 Hztangential(1,1,0)
43.3 Hzaxial(2,0,0)
50.9 Hztangential(2,1,0)
53.6 Hzaxial(0,2,0)
57.8 Hztangential(1,2,0)
62.5 Hzaxial(0,0,1)
64.9 Hzaxial(3,0,0)
66.2 Hztangential(1,0,1)
68 Hztangential(0,1,1)
68.9 Hztangential(2,2,0)
70.2 Hztangential(3,1,0)
71.4 Hzoblique(1,1,1)
76 Hztangential(2,0,1)
80.4 Hzaxial(0,3,0)
80.6 Hzoblique(2,1,1)
82.3 Hztangential(0,2,1)
83.2 Hztangential(1,3,0)
84.2 Hztangential(3,2,0)
85.1 Hzoblique(1,2,1)
86.6 Hzaxial(4,0,0)
90.1 Hztangential(3,0,1)
90.6 Hztangential(4,1,0)
91.3 Hztangential(2,3,0)
93 Hzoblique(2,2,1)
94 Hzoblique(3,1,1)
101.8 Hztangential(0,3,1)
101.8 Hztangential(4,2,0)
103.3 Hztangential(3,3,0)
104.1 Hzoblique(1,3,1)
104.9 Hzoblique(3,2,1)
106.8 Hztangential(4,0,1)
107.2 Hzaxial(0,4,0)
108.2 Hzaxial(5,0,0)
109.3 Hztangential(1,4,0)
110.1 Hzoblique(4,1,1)
110.6 Hzoblique(2,3,1)
111.5 Hztangential(5,1,0)
115.6 Hztangential(2,4,0)
118.1 Hztangential(4,3,0)
119.5 Hzoblique(4,2,1)
120.7 Hztangential(5,2,0)
120.8 Hzoblique(3,3,1)
124.1 Hztangential(0,4,1)
125 Hzaxial(0,0,2)
125 Hztangential(5,0,1)
125.3 Hztangential(3,4,0)
125.9 Hzoblique(1,4,1)
126.9 Hztangential(1,0,2)
127.8 Hzoblique(5,1,1)
127.9 Hztangential(0,1,2)
129.7 Hzoblique(1,1,2)
129.8 Hzaxial(6,0,0)
131.4 Hzoblique(2,4,1)
132.3 Hztangential(2,0,2)
132.6 Hztangential(6,1,0)
133.7 Hzoblique(4,3,1)
134 Hzaxial(0,5,0)
134.8 Hztangential(5,3,0)
135 Hzoblique(2,1,2)
135.7 Hztangential(1,5,0)
136 Hztangential(0,2,2)
136 Hzoblique(5,2,1)
137.7 Hzoblique(1,2,2)
137.8 Hztangential(4,4,0)
140 Hzoblique(3,4,1)
140.5 Hztangential(6,2,0)
140.8 Hztangential(2,5,0)
140.9 Hztangential(3,0,2)
142.8 Hzoblique(2,2,2)
143.4 Hzoblique(3,1,2)
144.1 Hztangential(6,0,1)
146.6 Hzoblique(6,1,1)
147.8 Hztangential(0,5,1)
148.6 Hztangential(0,3,2)
148.6 Hzoblique(5,3,1)
148.9 Hztangential(3,5,0)
149.4 Hzoblique(1,5,1)
150.2 Hzoblique(1,3,2)
150.7 Hzoblique(3,2,2)
151.3 Hzoblique(4,4,1)
151.5 Hzaxial(7,0,0)
152.1 Hztangential(4,0,2)
152.3 Hztangential(5,4,0)
152.7 Hztangential(6,3,0)
153.8 Hztangential(7,1,0)
153.8 Hzoblique(6,2,1)
154 Hzoblique(2,5,1)
154.4 Hzoblique(4,1,2)
154.8 Hzoblique(2,3,2)
159.5 Hztangential(4,5,0)
160.7 Hztangential(7,2,0)
160.8 Hzaxial(0,6,0)
161.2 Hzoblique(4,2,2)
161.5 Hzoblique(3,5,1)
162.2 Hztangential(1,6,0)
162.2 Hzoblique(3,3,2)
163.9 Hztangential(7,0,1)
164.6 Hzoblique(5,4,1)
164.7 Hztangential(0,4,2)
165 Hzoblique(6,3,1)
165.4 Hztangential(5,0,2)
166.1 Hzoblique(1,4,2)
166.1 Hzoblique(7,1,1)
166.5 Hztangential(2,6,0)
167.5 Hzoblique(5,1,2)
168.4 Hztangential(6,4,0)
170.3 Hzoblique(2,4,2)
171.3 Hzoblique(4,5,1)
171.5 Hztangential(7,3,0)
172 Hzoblique(4,3,2)
172.2 Hztangential(5,5,0)
172.4 Hzoblique(7,2,1)
172.5 Hztangential(0,6,1)
173.1 Hzaxial(8,0,0)
173.4 Hztangential(3,6,0)
173.8 Hzoblique(1,6,1)
173.8 Hzoblique(5,2,2)
175.2 Hztangential(8,1,0)
177 Hzoblique(3,4,2)
177.8 Hzoblique(2,6,1)
179.6 Hzoblique(6,4,1)
180.3 Hztangential(6,0,2)
181.2 Hztangential(8,2,0)
182.2 Hzoblique(6,1,2)
182.5 Hzoblique(7,3,1)
182.6 Hztangential(4,6,0)
183.2 Hzoblique(5,5,1)
183.3 Hztangential(0,5,2)
183.9 Hzoblique(5,3,2)
184.1 Hztangential(8,0,1)
184.3 Hzoblique(3,6,1)
184.5 Hzoblique(1,5,2)
185.6 Hztangential(7,4,0)
186 Hzoblique(4,4,2)
186 Hzoblique(8,1,1)
186.6 Hztangential(6,5,0)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,7,0)
188.1 Hzoblique(6,2,2)
188.3 Hzoblique(2,5,2)
188.8 Hztangential(1,0,3)
188.8 Hztangential(1,7,0)
189.5 Hztangential(0,1,3)
190.7 Hzoblique(1,1,3)
190.9 Hztangential(8,3,0)
191.7 Hzoblique(8,2,1)
192.5 Hztangential(2,0,3)
192.5 Hztangential(2,7,0)
193 Hzoblique(4,6,1)
193.8 Hztangential(5,6,0)
194.3 Hzoblique(2,1,3)
194.4 Hzoblique(3,5,2)
194.8 Hzaxial(9,0,0)
195.1 Hztangential(0,2,3)
195.8 Hzoblique(7,4,1)
196.3 Hzoblique(1,2,3)
196.4 Hztangential(7,0,2)
196.6 Hztangential(9,1,0)
196.8 Hzoblique(6,5,1)
197 Hzoblique(5,4,2)
197.4 Hzoblique(6,3,2)
197.7 Hztangential(0,7,1)
198.2 Hzoblique(7,1,2)
198.5 Hztangential(3,0,3)
198.5 Hztangential(3,7,0)
198.9 Hzoblique(1,7,1)
199.8 Hzoblique(2,2,3)

Questions about 21x26 rooms

Will a 21x26 room work for a home theater?
This size fits a dedicated home theater or media room well. At 75/100, the modal score is good, so treatment here is mostly fine-tuning rather than fixing real problems.
Where should I put bass traps in a 21x26 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 107.2 Hz mode itself would need about 2.6 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 107.2 Hz.
What subwoofer size is right for a 21 by 26 ft room?
There is no fixed sub size tied to 546 sq ft; that number mostly sets this room's mode frequencies (169 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 21x26 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 107.2 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 21x26 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 107.2 Hz, since that note's own quarter wavelength (about 2.6 ft) is too deep for any panel. From there, move your seat to about 9.9 ft from the front wall, then measure with REW below 107 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.