Room Modes in a 24x28 ft Room with a 10 ft Ceiling

At 24 by 28 ft with a 10 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 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 117.2 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
225
Schroeder frequency
92 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 (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 (10 ft)56.3 Hz112.5 Hz168.8 Hz225.1 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 24 ft width and 10 ft ceiling height both resonate near 164.1 Hz, so bass at that note will be much louder than its neighbours.
  • The proportions (1 : 2.40 : 2.80) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 92 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 28 ft length and 24 ft width share a mode near 117.2 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 : 2.40 : 2.80, 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 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. Do not sit dead-center on the 28 ft length. Start near 10.6 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 92 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 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

Below are all 225 modes this room produces under 200 Hz: 20 axial, 99 tangential, 106 oblique. Axial modes, which only involve one pair of opposite surfaces, ring the loudest. Tangential modes (four surfaces) come next, and oblique modes (all six surfaces) are the weakest of the three.

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)
56.3 Hzaxial(0,0,1)
59.7 Hztangential(1,0,1)
60.3 Hzaxial(3,0,0)
61 Hztangential(0,1,1)
61.8 Hztangential(2,2,0)
64.2 Hzoblique(1,1,1)
64.7 Hztangential(3,1,0)
69.1 Hztangential(2,0,1)
70.3 Hzaxial(0,3,0)
73 Hzoblique(2,1,1)
73.1 Hztangential(1,3,0)
73.2 Hztangential(0,2,1)
75.9 Hzoblique(1,2,1)
76.4 Hztangential(3,2,0)
80.4 Hzaxial(4,0,0)
81 Hztangential(2,3,0)
82.5 Hztangential(3,0,1)
83.5 Hzoblique(2,2,1)
83.7 Hztangential(4,1,0)
85.7 Hzoblique(3,1,1)
90.1 Hztangential(0,3,1)
92.3 Hzoblique(1,3,1)
92.6 Hztangential(3,3,0)
93.1 Hztangential(4,2,0)
93.8 Hzaxial(0,4,0)
94.9 Hzoblique(3,2,1)
95.9 Hztangential(1,4,0)
98.1 Hztangential(4,0,1)
98.6 Hzoblique(2,3,1)
100.5 Hzaxial(5,0,0)
100.9 Hzoblique(4,1,1)
102 Hztangential(2,4,0)
103.2 Hztangential(5,1,0)
106.8 Hztangential(4,3,0)
108.4 Hzoblique(3,3,1)
108.7 Hzoblique(4,2,1)
109.4 Hztangential(0,4,1)
110.9 Hztangential(5,2,0)
111.2 Hzoblique(1,4,1)
111.5 Hztangential(3,4,0)
112.5 Hzaxial(0,0,2)
114.3 Hztangential(1,0,2)
114.9 Hztangential(0,1,2)
115.2 Hztangential(5,0,1)
116.5 Hzoblique(2,4,1)
116.7 Hzoblique(1,1,2)
117.2 Hzaxial(0,5,0)
117.5 Hzoblique(5,1,1)
118.9 Hztangential(1,5,0)
119.5 Hztangential(2,0,2)
120.6 Hzaxial(6,0,0)
120.7 Hzoblique(4,3,1)
121.8 Hzoblique(2,1,2)
121.9 Hztangential(0,2,2)
122.6 Hztangential(5,3,0)
122.8 Hztangential(6,1,0)
123.5 Hztangential(4,4,0)
123.6 Hzoblique(1,2,2)
123.9 Hztangential(2,5,0)
124.3 Hzoblique(5,2,1)
124.9 Hzoblique(3,4,1)
127.7 Hztangential(3,0,2)
128.4 Hzoblique(2,2,2)
129.4 Hztangential(6,2,0)
129.8 Hzoblique(3,1,2)
130 Hztangential(0,5,1)
131.6 Hzoblique(1,5,1)
131.8 Hztangential(3,5,0)
132.7 Hztangential(0,3,2)
133.1 Hztangential(6,0,1)
134.2 Hzoblique(1,3,2)
134.9 Hzoblique(5,3,1)
135.1 Hzoblique(6,1,1)
135.7 Hzoblique(4,4,1)
136 Hzoblique(3,2,2)
136.1 Hzoblique(2,5,1)
137.4 Hztangential(5,4,0)
138.3 Hztangential(4,0,2)
138.7 Hzoblique(2,3,2)
139.6 Hztangential(6,3,0)
140.3 Hzoblique(4,1,2)
140.7 Hzaxial(0,6,0)
140.7 Hzaxial(7,0,0)
141.1 Hzoblique(6,2,1)
142.1 Hztangential(1,6,0)
142.1 Hztangential(4,5,0)
142.6 Hztangential(7,1,0)
143.3 Hzoblique(3,5,1)
145.8 Hzoblique(3,3,2)
146 Hzoblique(4,2,2)
146.3 Hztangential(2,6,0)
146.5 Hztangential(0,4,2)
147.9 Hzoblique(1,4,2)
148.3 Hztangential(7,2,0)
148.5 Hzoblique(5,4,1)
150.5 Hzoblique(6,3,1)
150.9 Hztangential(5,0,2)
151.5 Hztangential(0,6,1)
151.5 Hztangential(7,0,1)
151.9 Hzoblique(2,4,2)
152.7 Hztangential(6,4,0)
152.7 Hzoblique(5,1,2)
152.8 Hzoblique(1,6,1)
152.9 Hzoblique(4,5,1)
153 Hztangential(3,6,0)
153.3 Hzoblique(7,1,1)
154.4 Hztangential(5,5,0)
155.1 Hzoblique(4,3,2)
156.7 Hzoblique(2,6,1)
157.3 Hztangential(7,3,0)
158 Hzoblique(5,2,2)
158.4 Hzoblique(3,4,2)
158.6 Hzoblique(7,2,1)
160.8 Hzaxial(8,0,0)
162 Hztangential(4,6,0)
162.5 Hztangential(0,5,2)
162.5 Hztangential(8,1,0)
162.8 Hzoblique(6,4,1)
163.1 Hzoblique(3,6,1)
163.7 Hzoblique(1,5,2)
164.1 Hzaxial(0,7,0)
164.3 Hzoblique(5,5,1)
164.9 Hztangential(6,0,2)
165.3 Hztangential(1,7,0)
166.5 Hzoblique(5,3,2)
166.6 Hzoblique(6,1,2)
167 Hzoblique(7,3,1)
167.1 Hzoblique(4,4,2)
167.4 Hzoblique(2,5,2)
167.5 Hztangential(8,2,0)
168.2 Hztangential(6,5,0)
168.8 Hzaxial(0,0,3)
169 Hztangential(2,7,0)
169.1 Hztangential(7,4,0)
170 Hztangential(1,0,3)
170.3 Hztangential(8,0,1)
170.4 Hztangential(0,1,3)
171.5 Hzoblique(4,6,1)
171.5 Hzoblique(6,2,2)
171.6 Hzoblique(1,1,3)
171.9 Hzoblique(8,1,1)
172.9 Hztangential(5,6,0)
173.3 Hzoblique(3,5,2)
173.5 Hztangential(0,7,1)
173.5 Hztangential(2,0,3)
174.6 Hzoblique(1,7,1)
174.8 Hztangential(3,7,0)
175.1 Hzoblique(2,1,3)
175.2 Hztangential(0,2,3)
175.5 Hztangential(8,3,0)
176.3 Hzoblique(1,2,3)
176.7 Hzoblique(8,2,1)
177.3 Hzoblique(6,5,1)
177.6 Hzoblique(5,4,2)
178.1 Hzoblique(2,7,1)
178.2 Hzoblique(7,4,1)
179.2 Hztangential(3,0,3)
179.3 Hzoblique(6,3,2)
179.7 Hzoblique(2,2,3)
180.1 Hztangential(0,6,2)
180.1 Hztangential(7,0,2)
180.8 Hzoblique(3,1,3)
180.9 Hzaxial(9,0,0)
181.3 Hzoblique(1,6,2)
181.3 Hzoblique(4,5,2)
181.7 Hzoblique(7,1,2)
181.8 Hzoblique(5,6,1)
182.4 Hztangential(9,1,0)
182.7 Hztangential(4,7,0)
182.9 Hztangential(0,3,3)
183.1 Hztangential(7,5,0)
183.7 Hzoblique(3,7,1)
184 Hzoblique(1,3,3)
184.3 Hzoblique(8,3,1)
184.6 Hzoblique(2,6,2)
185.3 Hztangential(6,6,0)
185.3 Hzoblique(3,2,3)
186.1 Hztangential(8,4,0)
186.1 Hzoblique(7,2,2)
186.8 Hztangential(9,2,0)
187 Hztangential(4,0,3)
187.2 Hzoblique(2,3,3)
187.6 Hzaxial(0,8,0)
188.4 Hzoblique(4,1,3)
188.6 Hztangential(1,8,0)
189.4 Hztangential(9,0,1)
189.7 Hzoblique(6,4,2)
190 Hzoblique(3,6,2)
190.9 Hzoblique(9,1,1)
191 Hzoblique(5,5,2)
191.2 Hzoblique(4,7,1)
191.6 Hzoblique(7,5,1)
191.8 Hztangential(2,8,0)
192.4 Hztangential(5,7,0)
192.5 Hzoblique(3,3,3)
192.8 Hzoblique(4,2,3)
193.1 Hztangential(0,4,3)
193.4 Hzoblique(7,3,2)
193.6 Hzoblique(6,6,1)
194.1 Hztangential(9,3,0)
194.1 Hzoblique(1,4,3)
194.4 Hzoblique(8,4,1)
195.1 Hzoblique(9,2,1)
195.8 Hztangential(0,8,1)
196.2 Hztangential(8,0,2)
196.4 Hztangential(5,0,3)
196.8 Hzoblique(1,8,1)
197 Hztangential(3,8,0)
197.2 Hzoblique(2,4,3)
197.3 Hzoblique(4,6,2)
197.6 Hzoblique(8,1,2)
197.8 Hzoblique(5,1,3)
198.9 Hztangential(7,6,0)
199 Hztangential(0,7,2)
199 Hztangential(8,5,0)
199.8 Hzoblique(4,3,3)
199.9 Hzoblique(2,8,1)
200 Hzoblique(1,7,2)

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 60/100 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 225 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 92 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.