Room Modes in a 21x28 ft Room with a 9 ft Ceiling

At 21 by 28 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 20.1 Hz, set by the 28 ft length.

That puts its modal score at 65 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 80.4 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
180
Schroeder frequency
103 Hz
Modal score
65/100

Mode spectrum

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

1 dense cluster (≤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 (28 ft)20.1 Hz40.2 Hz60.3 Hz80.4 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 20.1 Hz, set by the 28 ft length.
  • Your 28 ft length and 21 ft width both resonate at 80.4 and 160.8 Hz, so bass at those notes will be much louder than its neighbours.
  • Your 28 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 : 3.11) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 103 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 28 ft length and 21 ft width share a mode near 80.4 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 : 3.11, 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. 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 80.4 Hz the quarter wavelength is about 3.5 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 28 ft length; roughly 10.6 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 103 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 21x28 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 180 modes below 200 Hz, 19 axial, 83 tangential and 78 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)
20.1 Hzaxial(1,0,0)
26.8 Hzaxial(0,1,0)
33.5 Hztangential(1,1,0)
40.2 Hzaxial(2,0,0)
48.3 Hztangential(2,1,0)
53.6 Hzaxial(0,2,0)
57.2 Hztangential(1,2,0)
60.3 Hzaxial(3,0,0)
62.5 Hzaxial(0,0,1)
65.7 Hztangential(1,0,1)
66 Hztangential(3,1,0)
67 Hztangential(2,2,0)
68 Hztangential(0,1,1)
70.9 Hzoblique(1,1,1)
74.3 Hztangential(2,0,1)
79 Hzoblique(2,1,1)
80.4 Hzaxial(0,3,0)
80.4 Hzaxial(4,0,0)
80.7 Hztangential(3,2,0)
82.3 Hztangential(0,2,1)
82.9 Hztangential(1,3,0)
84.7 Hztangential(4,1,0)
84.8 Hzoblique(1,2,1)
86.8 Hztangential(3,0,1)
89.9 Hztangential(2,3,0)
90.9 Hzoblique(3,1,1)
91.6 Hzoblique(2,2,1)
96.6 Hztangential(4,2,0)
100.5 Hzaxial(5,0,0)
100.5 Hztangential(3,3,0)
101.8 Hztangential(0,3,1)
101.8 Hztangential(4,0,1)
102.1 Hzoblique(3,2,1)
103.8 Hzoblique(1,3,1)
104 Hztangential(5,1,0)
105.3 Hzoblique(4,1,1)
107.2 Hzaxial(0,4,0)
109 Hztangential(1,4,0)
109.5 Hzoblique(2,3,1)
113.7 Hztangential(4,3,0)
113.9 Hztangential(5,2,0)
114.5 Hztangential(2,4,0)
115.1 Hzoblique(4,2,1)
118.3 Hztangential(5,0,1)
118.3 Hzoblique(3,3,1)
120.6 Hzaxial(6,0,0)
121.3 Hzoblique(5,1,1)
123 Hztangential(3,4,0)
123.5 Hztangential(6,1,0)
124.1 Hztangential(0,4,1)
125 Hzaxial(0,0,2)
125.7 Hzoblique(1,4,1)
126.6 Hztangential(1,0,2)
127.9 Hztangential(0,1,2)
128.7 Hztangential(5,3,0)
129.4 Hzoblique(1,1,2)
129.7 Hzoblique(4,3,1)
129.9 Hzoblique(5,2,1)
130.4 Hzoblique(2,4,1)
131.3 Hztangential(2,0,2)
131.9 Hztangential(6,2,0)
134 Hzaxial(0,5,0)
134 Hztangential(4,4,0)
134 Hzoblique(2,1,2)
135.5 Hztangential(1,5,0)
135.8 Hztangential(6,0,1)
136 Hztangential(0,2,2)
137.5 Hzoblique(1,2,2)
137.9 Hzoblique(3,4,1)
138.4 Hzoblique(6,1,1)
138.8 Hztangential(3,0,2)
139.9 Hztangential(2,5,0)
140.7 Hzaxial(7,0,0)
141.4 Hzoblique(3,1,2)
141.8 Hzoblique(2,2,2)
143.1 Hzoblique(5,3,1)
143.2 Hztangential(7,1,0)
144.9 Hztangential(6,3,0)
146 Hzoblique(6,2,1)
146.9 Hztangential(3,5,0)
146.9 Hztangential(5,4,0)
147.8 Hztangential(0,5,1)
147.8 Hzoblique(4,4,1)
148.6 Hztangential(0,3,2)
148.6 Hztangential(4,0,2)
148.8 Hzoblique(3,2,2)
149.2 Hzoblique(1,5,1)
150 Hzoblique(1,3,2)
150.5 Hztangential(7,2,0)
151 Hzoblique(4,1,2)
153.2 Hzoblique(2,5,1)
153.9 Hztangential(7,0,1)
154 Hzoblique(2,3,2)
156.2 Hztangential(4,5,0)
156.2 Hzoblique(7,1,1)
157.8 Hzoblique(6,3,1)
158 Hzoblique(4,2,2)
159.7 Hzoblique(3,5,1)
159.7 Hzoblique(5,4,1)
160.4 Hztangential(5,0,2)
160.4 Hzoblique(3,3,2)
160.8 Hzaxial(0,6,0)
160.8 Hzaxial(8,0,0)
161.3 Hztangential(6,4,0)
162 Hztangential(1,6,0)
162 Hztangential(7,3,0)
162.6 Hzoblique(5,1,2)
163 Hztangential(8,1,0)
163 Hzoblique(7,2,1)
164.7 Hztangential(0,4,2)
165.7 Hztangential(2,6,0)
165.9 Hzoblique(1,4,2)
167.5 Hztangential(5,5,0)
168.3 Hzoblique(4,5,1)
169 Hzoblique(4,3,2)
169.1 Hzoblique(5,2,2)
169.5 Hztangential(8,2,0)
169.5 Hzoblique(2,4,2)
171.7 Hztangential(3,6,0)
172.5 Hztangential(0,6,1)
172.5 Hztangential(8,0,1)
173 Hzoblique(6,4,1)
173.7 Hztangential(6,0,2)
173.7 Hzoblique(1,6,1)
173.7 Hzoblique(7,3,1)
174.6 Hzoblique(8,1,1)
175.4 Hzoblique(3,4,2)
175.8 Hzoblique(6,1,2)
176.8 Hztangential(7,4,0)
177.1 Hzoblique(2,6,1)
178.7 Hzoblique(5,5,1)
179.4 Hzoblique(5,3,2)
179.7 Hztangential(4,6,0)
179.7 Hztangential(8,3,0)
180.2 Hztangential(6,5,0)
180.6 Hzoblique(8,2,1)
180.9 Hzaxial(9,0,0)
181.8 Hzoblique(6,2,2)
182.7 Hzoblique(3,6,1)
182.8 Hztangential(9,1,0)
183.3 Hztangential(0,5,2)
183.3 Hzoblique(4,4,2)
184.4 Hzoblique(1,5,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,7,0)
187.6 Hzoblique(2,5,2)
187.6 Hzoblique(7,4,1)
188.2 Hztangential(7,0,2)
188.6 Hztangential(1,0,3)
188.6 Hztangential(1,7,0)
188.6 Hztangential(9,2,0)
189.5 Hztangential(0,1,3)
189.6 Hztangential(5,6,0)
190.1 Hzoblique(7,1,2)
190.3 Hzoblique(4,6,1)
190.3 Hzoblique(8,3,1)
190.5 Hzoblique(1,1,3)
190.8 Hzoblique(6,5,1)
191.4 Hztangential(9,0,1)
191.4 Hzoblique(6,3,2)
191.8 Hztangential(2,0,3)
191.8 Hztangential(2,7,0)
192.9 Hzoblique(3,5,2)
192.9 Hzoblique(5,4,2)
193.2 Hztangential(8,4,0)
193.2 Hzoblique(9,1,1)
193.7 Hzoblique(2,1,3)
194.3 Hztangential(7,5,0)
195.1 Hztangential(0,2,3)
195.7 Hzoblique(7,2,2)
196.1 Hzoblique(1,2,3)
197 Hztangential(3,0,3)
197 Hztangential(3,7,0)
197.7 Hztangential(0,7,1)
197.9 Hztangential(9,3,0)
198.7 Hzoblique(1,7,1)
198.7 Hzoblique(9,2,1)
198.8 Hzoblique(3,1,3)
199.2 Hzoblique(2,2,3)
199.6 Hzoblique(5,6,1)

Questions about 21x28 rooms

Is a 21 by 28 ft room good for a music room or home theater?
It can work as a dedicated home theater or media room, but do not expect an easy ride: this room scores 65/100 because two of its dimensions reinforce the same note near 80.4 Hz. Treatment will make a real difference here.
What is the best corner for bass traps in a 21x28 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 80.4 Hz mode itself would need about 3.5 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 80.4 Hz.
What size subwoofer does a 21x28 room need?
Subwoofer size is less about this room's 588 sq ft and more about the output headroom you want; room size mainly changes where the 180 modes below 200 Hz fall. A room this size needs more sub output to reach the same level as a smaller one, and running two subs at different spots evens out the response between seats.
Why is bass boomy in one spot in a 21 by 28 ft room?
Here it comes down to this: two of its dimensions reinforce the same note near 80.4 Hz. That is a property of the room's shape, not your equipment, so treatment, not a better sub, is the fix.
What is the fastest fix for bass in a 21x28 room?
Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 80.4 Hz, since that note's own quarter wavelength (about 3.5 ft) is too deep for any panel. After that, reposition your seat near 10.6 ft from the front wall and verify with REW below 103 Hz.

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.