Room Modes in a 24x28 ft Room with a 9 ft Ceiling

This 24x28 ft room, 9 ft to the ceiling, is a common size for a dedicated home theater or media room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 20.1 Hz, driven by the 28 ft length.

On the 0-100 modal score, this room comes in at 55, a rough score, worth planning around. Before you treat anything, know that two of its dimensions reinforce the same note near 117.2 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
204
Schroeder frequency
97 Hz
Modal score
55/100

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 (28 ft)20.1 Hz40.2 Hz60.3 Hz80.4 Hz
Width (24 ft)23.4 Hz46.9 Hz70.3 Hz93.8 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 24 ft width both resonate near 117.2, 140.7 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 24 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 : 2.67 : 3.11) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 97 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 28 ft length and 24 ft width are close in size, their modes stack near 117.2 Hz. Expect that one note to sound louder, and ring longer, than the rest of the bass in this room.

In a home theater, this shows up as one bass note in an action scene sounding far louder than the rest of the mix, usually a kick drum hit or an LFE cue landing right on that stacked note. In a music room, the same thing means certain bass notes on a track jump out while others next to them feel buried.

At a ratio of 1 : 2.67 : 3.11, this room sits inside the Bolt area, the zone where modes tend to spread out rather than pile up. Shape is doing you a favor here.

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. Full absorption at 117.2 Hz would take about 2.4 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. Avoid the exact middle of the 28 ft length for your seat or mix position; try around 10.6 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 97 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 24x28 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 204 modes below 200 Hz, 20 axial, 93 tangential and 91 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)
23.4 Hzaxial(0,1,0)
30.9 Hztangential(1,1,0)
40.2 Hzaxial(2,0,0)
46.5 Hztangential(2,1,0)
46.9 Hzaxial(0,2,0)
51 Hztangential(1,2,0)
60.3 Hzaxial(3,0,0)
61.8 Hztangential(2,2,0)
62.5 Hzaxial(0,0,1)
64.7 Hztangential(3,1,0)
65.7 Hztangential(1,0,1)
66.8 Hztangential(0,1,1)
69.7 Hzoblique(1,1,1)
70.3 Hzaxial(0,3,0)
73.1 Hztangential(1,3,0)
74.3 Hztangential(2,0,1)
76.4 Hztangential(3,2,0)
77.9 Hzoblique(2,1,1)
78.1 Hztangential(0,2,1)
80.4 Hzaxial(4,0,0)
80.7 Hzoblique(1,2,1)
81 Hztangential(2,3,0)
83.7 Hztangential(4,1,0)
86.8 Hztangential(3,0,1)
87.9 Hzoblique(2,2,1)
90 Hzoblique(3,1,1)
92.6 Hztangential(3,3,0)
93.1 Hztangential(4,2,0)
93.8 Hzaxial(0,4,0)
94.1 Hztangential(0,3,1)
95.9 Hztangential(1,4,0)
96.2 Hzoblique(1,3,1)
98.7 Hzoblique(3,2,1)
100.5 Hzaxial(5,0,0)
101.8 Hztangential(4,0,1)
102 Hztangential(2,4,0)
102.3 Hzoblique(2,3,1)
103.2 Hztangential(5,1,0)
104.5 Hzoblique(4,1,1)
106.8 Hztangential(4,3,0)
110.9 Hztangential(5,2,0)
111.5 Hztangential(3,4,0)
111.8 Hzoblique(3,3,1)
112.1 Hzoblique(4,2,1)
112.7 Hztangential(0,4,1)
114.5 Hzoblique(1,4,1)
117.2 Hzaxial(0,5,0)
118.3 Hztangential(5,0,1)
118.9 Hztangential(1,5,0)
119.7 Hzoblique(2,4,1)
120.6 Hzaxial(6,0,0)
120.6 Hzoblique(5,1,1)
122.6 Hztangential(5,3,0)
122.8 Hztangential(6,1,0)
123.5 Hztangential(4,4,0)
123.8 Hzoblique(4,3,1)
123.9 Hztangential(2,5,0)
125 Hzaxial(0,0,2)
126.6 Hztangential(1,0,2)
127.2 Hztangential(0,1,2)
127.3 Hzoblique(5,2,1)
127.8 Hzoblique(3,4,1)
128.8 Hzoblique(1,1,2)
129.4 Hztangential(6,2,0)
131.3 Hztangential(2,0,2)
131.8 Hztangential(3,5,0)
132.9 Hztangential(0,5,1)
133.4 Hzoblique(2,1,2)
133.5 Hztangential(0,2,2)
134.4 Hzoblique(1,5,1)
135 Hzoblique(1,2,2)
135.8 Hztangential(6,0,1)
137.4 Hztangential(5,4,0)
137.7 Hzoblique(5,3,1)
137.8 Hzoblique(6,1,1)
138.4 Hzoblique(4,4,1)
138.8 Hztangential(3,0,2)
138.8 Hzoblique(2,5,1)
139.5 Hzoblique(2,2,2)
139.6 Hztangential(6,3,0)
140.7 Hzaxial(0,6,0)
140.7 Hzaxial(7,0,0)
140.8 Hzoblique(3,1,2)
142.1 Hztangential(1,6,0)
142.1 Hztangential(4,5,0)
142.6 Hztangential(7,1,0)
143.5 Hztangential(0,3,2)
143.7 Hzoblique(6,2,1)
144.9 Hzoblique(1,3,2)
145.9 Hzoblique(3,5,1)
146.3 Hztangential(2,6,0)
146.5 Hzoblique(3,2,2)
148.3 Hztangential(7,2,0)
148.6 Hztangential(4,0,2)
149 Hzoblique(2,3,2)
150.5 Hzoblique(4,1,2)
151 Hzoblique(5,4,1)
152.7 Hztangential(6,4,0)
152.9 Hzoblique(6,3,1)
153 Hztangential(3,6,0)
153.9 Hztangential(0,6,1)
153.9 Hztangential(7,0,1)
154.4 Hztangential(5,5,0)
155.2 Hzoblique(1,6,1)
155.3 Hzoblique(4,5,1)
155.6 Hzoblique(3,3,2)
155.7 Hzoblique(7,1,1)
155.9 Hzoblique(4,2,2)
156.3 Hztangential(0,4,2)
157.3 Hztangential(7,3,0)
157.6 Hzoblique(1,4,2)
159.1 Hzoblique(2,6,1)
160.4 Hztangential(5,0,2)
160.8 Hzaxial(8,0,0)
160.9 Hzoblique(7,2,1)
161.4 Hzoblique(2,4,2)
162 Hztangential(4,6,0)
162.1 Hzoblique(5,1,2)
162.5 Hztangential(8,1,0)
164.1 Hzaxial(0,7,0)
164.4 Hzoblique(4,3,2)
165 Hzoblique(6,4,1)
165.3 Hztangential(1,7,0)
165.3 Hzoblique(3,6,1)
166.6 Hzoblique(5,5,1)
167.1 Hzoblique(5,2,2)
167.5 Hztangential(8,2,0)
167.5 Hzoblique(3,4,2)
168.2 Hztangential(6,5,0)
169 Hztangential(2,7,0)
169.1 Hztangential(7,4,0)
169.2 Hzoblique(7,3,1)
171.4 Hztangential(0,5,2)
172.5 Hztangential(8,0,1)
172.6 Hzoblique(1,5,2)
172.9 Hztangential(5,6,0)
173.7 Hztangential(6,0,2)
173.7 Hzoblique(4,6,1)
174.1 Hzoblique(8,1,1)
174.8 Hztangential(3,7,0)
175.1 Hzoblique(5,3,2)
175.3 Hzoblique(6,1,2)
175.5 Hztangential(8,3,0)
175.6 Hztangential(0,7,1)
175.8 Hzoblique(4,4,2)
176 Hzoblique(2,5,2)
176.8 Hzoblique(1,7,1)
178.7 Hzoblique(8,2,1)
179.4 Hzoblique(6,5,1)
179.9 Hzoblique(6,2,2)
180.2 Hzoblique(2,7,1)
180.2 Hzoblique(7,4,1)
180.9 Hzaxial(9,0,0)
181.7 Hzoblique(3,5,2)
182.4 Hztangential(9,1,0)
182.7 Hztangential(4,7,0)
183.1 Hztangential(7,5,0)
183.8 Hzoblique(5,6,1)
185.3 Hztangential(6,6,0)
185.7 Hzoblique(3,7,1)
185.8 Hzoblique(5,4,2)
186.1 Hztangential(8,4,0)
186.3 Hzoblique(8,3,1)
186.8 Hztangential(9,2,0)
187.4 Hzoblique(6,3,2)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(0,8,0)
188.2 Hztangential(0,6,2)
188.2 Hztangential(7,0,2)
188.6 Hztangential(1,0,3)
188.6 Hztangential(1,8,0)
189 Hztangential(0,1,3)
189.3 Hzoblique(1,6,2)
189.3 Hzoblique(4,5,2)
189.7 Hzoblique(7,1,2)
190.1 Hzoblique(1,1,3)
191.4 Hztangential(9,0,1)
191.8 Hztangential(2,0,3)
191.8 Hztangential(2,8,0)
192.4 Hztangential(5,7,0)
192.4 Hzoblique(2,6,2)
192.8 Hzoblique(9,1,1)
193.1 Hzoblique(4,7,1)
193.2 Hzoblique(2,1,3)
193.3 Hztangential(0,2,3)
193.5 Hzoblique(7,5,1)
194 Hzoblique(7,2,2)
194.1 Hztangential(9,3,0)
194.4 Hzoblique(1,2,3)
195.5 Hzoblique(6,6,1)
196.3 Hzoblique(8,4,1)
197 Hztangential(3,0,3)
197 Hztangential(3,8,0)
197 Hzoblique(9,2,1)
197.4 Hzoblique(6,4,2)
197.5 Hzoblique(2,2,3)
197.6 Hzoblique(3,6,2)
197.7 Hztangential(0,8,1)
198.4 Hzoblique(3,1,3)
198.7 Hzoblique(1,8,1)
198.7 Hzoblique(5,5,2)
198.9 Hztangential(7,6,0)
199 Hztangential(8,5,0)

Questions about 24x28 rooms

Is a 24x28 room good for a home theater?
At 672 sq ft, this size works as a dedicated home theater or media room, but a modal score of 55/100 means it is workable, not effortless: two of its dimensions reinforce the same note near 117.2 Hz, so plan on real bass trapping.
Where do bass traps go in a 24 by 28 ft room?
The four vertical corners first. Full absorption at 117.2 Hz would take roughly 2.4 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.
Do I need a big subwoofer for a 24x28 room?
Room size here mainly shapes where the modes land, not the sub size on its own; this room has 204 modes below 200 Hz to work around either way. Larger rooms like this one ask more of a subwoofer's output, and a second sub in a different spot helps smooth out the peaks and dips across seats.
Why does one bass note boom in a 24x28 room?
In this room, the main cause is that two of its dimensions reinforce the same note near 117.2 Hz. Room modes reinforce specific notes more than others no matter how good your speakers are, and that unevenness is what you are hearing.
How many bass traps does a 24 by 28 ft room need?
Start by treating the four corners with traps as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 117.2 Hz, since that note's own quarter wavelength (about 2.4 ft) is too deep for any panel. Next, shift your listening position toward 10.6 ft from the front wall, then confirm progress with an REW sweep under 97 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.