Room Modes in a 28x28 ft Room with a 10 ft Ceiling

A 28 by 28 ft room with a 10 ft ceiling suits a dedicated home theater or media room. Its lowest room mode sits at 20.1 Hz, set by the 28 ft length and 28 ft width, the lowest note the room itself reinforces before any speaker or sub plays a thing.

Checked against every mode below 200 Hz, this room scores 29/100, a tough score, this room's shape fights you more than most. The clearest issue is that two of its dimensions reinforce the same note near 20.1 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
258
Schroeder frequency
85 Hz
Modal score
29/100

Mode spectrum

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

6 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 (28 ft)20.1 Hz40.2 Hz60.3 Hz80.4 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 and 28 ft width.
  • Your length and width are both 28 ft, so their modes land on the same notes (20.1, 40.2, 60.3 Hz and 6 more below 200 Hz), doubling the boost at each.
  • Between 28.4 Hz and 40.2 Hz there are no modes at all, so notes in that 11.8 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 25 Hz third-octave band (0 modes against 2 in the band below), so bass will sound uneven from note to note.
  • The proportions (1 : 2.80 : 2.80) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 85 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 28 ft length and 28 ft width land on top of each other near 20.1 Hz. That stack means one specific low note gets reinforced twice, so it jumps out over everything nearby.

For a home theater, expect that stacked note to color explosions and sub-bass hits unevenly rather than smoothly. For a music room, it means you cannot fully trust what you hear in the low end at the listening position, since a note that sounds loud in the room may be perfectly balanced on the recording.

The proportions (1 : 2.80 : 2.80) fall outside the Bolt area, the range room ratios usually spread modes best over, because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. That does not rule the room out, but treatment is doing more of the work here than shape is.

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.
  2. Full absorption at 20.1 Hz would take about 14 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 85 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 28x28 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 258 modes this room produces under 200 Hz: 21 axial, 111 tangential, 126 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(0,1,0)
20.1 Hzaxial(1,0,0)
28.4 Hztangential(1,1,0)
40.2 Hzaxial(0,2,0)
40.2 Hzaxial(2,0,0)
44.9 Hztangential(1,2,0)
44.9 Hztangential(2,1,0)
56.3 Hzaxial(0,0,1)
56.8 Hztangential(2,2,0)
59.7 Hztangential(0,1,1)
59.7 Hztangential(1,0,1)
60.3 Hzaxial(0,3,0)
60.3 Hzaxial(3,0,0)
63 Hzoblique(1,1,1)
63.5 Hztangential(1,3,0)
63.5 Hztangential(3,1,0)
69.1 Hztangential(0,2,1)
69.1 Hztangential(2,0,1)
72 Hzoblique(1,2,1)
72 Hzoblique(2,1,1)
72.5 Hztangential(2,3,0)
72.5 Hztangential(3,2,0)
80 Hzoblique(2,2,1)
80.4 Hzaxial(0,4,0)
80.4 Hzaxial(4,0,0)
82.5 Hztangential(0,3,1)
82.5 Hztangential(3,0,1)
82.9 Hztangential(1,4,0)
82.9 Hztangential(4,1,0)
84.9 Hzoblique(1,3,1)
84.9 Hzoblique(3,1,1)
85.3 Hztangential(3,3,0)
89.9 Hztangential(2,4,0)
89.9 Hztangential(4,2,0)
91.7 Hzoblique(2,3,1)
91.7 Hzoblique(3,2,1)
98.1 Hztangential(0,4,1)
98.1 Hztangential(4,0,1)
100.2 Hzoblique(1,4,1)
100.2 Hzoblique(4,1,1)
100.5 Hzaxial(0,5,0)
100.5 Hzaxial(5,0,0)
100.5 Hztangential(3,4,0)
100.5 Hztangential(4,3,0)
102.1 Hzoblique(3,3,1)
102.5 Hztangential(1,5,0)
102.5 Hztangential(5,1,0)
106 Hzoblique(2,4,1)
106 Hzoblique(4,2,1)
108.2 Hztangential(2,5,0)
108.2 Hztangential(5,2,0)
112.5 Hzaxial(0,0,2)
113.7 Hztangential(4,4,0)
114.3 Hztangential(0,1,2)
114.3 Hztangential(1,0,2)
115.2 Hztangential(0,5,1)
115.2 Hztangential(5,0,1)
115.2 Hzoblique(3,4,1)
115.2 Hzoblique(4,3,1)
116.1 Hzoblique(1,1,2)
116.9 Hzoblique(1,5,1)
116.9 Hzoblique(5,1,1)
117.2 Hztangential(3,5,0)
117.2 Hztangential(5,3,0)
119.5 Hztangential(0,2,2)
119.5 Hztangential(2,0,2)
120.6 Hzaxial(0,6,0)
120.6 Hzaxial(6,0,0)
121.2 Hzoblique(1,2,2)
121.2 Hzoblique(2,1,2)
122 Hzoblique(2,5,1)
122 Hzoblique(5,2,1)
122.2 Hztangential(1,6,0)
122.2 Hztangential(6,1,0)
126.1 Hzoblique(2,2,2)
126.8 Hzoblique(4,4,1)
127.1 Hztangential(2,6,0)
127.1 Hztangential(6,2,0)
127.7 Hztangential(0,3,2)
127.7 Hztangential(3,0,2)
128.7 Hztangential(4,5,0)
128.7 Hztangential(5,4,0)
129.2 Hzoblique(1,3,2)
129.2 Hzoblique(3,1,2)
130 Hzoblique(3,5,1)
130 Hzoblique(5,3,1)
133.1 Hztangential(0,6,1)
133.1 Hztangential(6,0,1)
133.8 Hzoblique(2,3,2)
133.8 Hzoblique(3,2,2)
134.6 Hzoblique(1,6,1)
134.6 Hzoblique(6,1,1)
134.8 Hztangential(3,6,0)
134.8 Hztangential(6,3,0)
138.3 Hztangential(0,4,2)
138.3 Hztangential(4,0,2)
139 Hzoblique(2,6,1)
139 Hzoblique(6,2,1)
139.7 Hzoblique(1,4,2)
139.7 Hzoblique(4,1,2)
140.4 Hzoblique(4,5,1)
140.4 Hzoblique(5,4,1)
140.7 Hzaxial(0,7,0)
140.7 Hzaxial(7,0,0)
141.2 Hzoblique(3,3,2)
142.1 Hztangential(1,7,0)
142.1 Hztangential(5,5,0)
142.1 Hztangential(7,1,0)
144 Hzoblique(2,4,2)
144 Hzoblique(4,2,2)
144.9 Hztangential(4,6,0)
144.9 Hztangential(6,4,0)
146.1 Hzoblique(3,6,1)
146.1 Hzoblique(6,3,1)
146.3 Hztangential(2,7,0)
146.3 Hztangential(7,2,0)
150.9 Hztangential(0,5,2)
150.9 Hztangential(5,0,2)
150.9 Hzoblique(3,4,2)
150.9 Hzoblique(4,3,2)
151.5 Hztangential(0,7,1)
151.5 Hztangential(7,0,1)
152.2 Hzoblique(1,5,2)
152.2 Hzoblique(5,1,2)
152.8 Hzoblique(1,7,1)
152.8 Hzoblique(5,5,1)
152.8 Hzoblique(7,1,1)
153 Hztangential(3,7,0)
153 Hztangential(7,3,0)
155.4 Hzoblique(4,6,1)
155.4 Hzoblique(6,4,1)
156.1 Hzoblique(2,5,2)
156.1 Hzoblique(5,2,2)
156.7 Hzoblique(2,7,1)
156.7 Hzoblique(7,2,1)
156.9 Hztangential(5,6,0)
156.9 Hztangential(6,5,0)
160 Hzoblique(4,4,2)
160.8 Hzaxial(0,8,0)
160.8 Hzaxial(8,0,0)
162 Hztangential(1,8,0)
162 Hztangential(4,7,0)
162 Hztangential(7,4,0)
162 Hztangential(8,1,0)
162.5 Hzoblique(3,5,2)
162.5 Hzoblique(5,3,2)
163.1 Hzoblique(3,7,1)
163.1 Hzoblique(7,3,1)
164.9 Hztangential(0,6,2)
164.9 Hztangential(6,0,2)
165.7 Hztangential(2,8,0)
165.7 Hztangential(8,2,0)
166.1 Hzoblique(1,6,2)
166.1 Hzoblique(6,1,2)
166.7 Hzoblique(5,6,1)
166.7 Hzoblique(6,5,1)
168.8 Hzaxial(0,0,3)
169.8 Hzoblique(2,6,2)
169.8 Hzoblique(6,2,2)
170 Hztangential(0,1,3)
170 Hztangential(1,0,3)
170.3 Hztangential(0,8,1)
170.3 Hztangential(8,0,1)
170.5 Hztangential(6,6,0)
170.9 Hzoblique(4,5,2)
170.9 Hzoblique(5,4,2)
171.2 Hzoblique(1,1,3)
171.5 Hzoblique(1,8,1)
171.5 Hzoblique(4,7,1)
171.5 Hzoblique(7,4,1)
171.5 Hzoblique(8,1,1)
171.7 Hztangential(3,8,0)
171.7 Hztangential(8,3,0)
172.9 Hztangential(5,7,0)
172.9 Hztangential(7,5,0)
173.5 Hztangential(0,2,3)
173.5 Hztangential(2,0,3)
174.7 Hzoblique(1,2,3)
174.7 Hzoblique(2,1,3)
175 Hzoblique(2,8,1)
175 Hzoblique(8,2,1)
175.6 Hzoblique(3,6,2)
175.6 Hzoblique(6,3,2)
178.1 Hzoblique(2,2,3)
179.2 Hztangential(0,3,3)
179.2 Hztangential(3,0,3)
179.6 Hzoblique(6,6,1)
179.7 Hztangential(4,8,0)
179.7 Hztangential(8,4,0)
180.1 Hztangential(0,7,2)
180.1 Hztangential(7,0,2)
180.4 Hzoblique(1,3,3)
180.4 Hzoblique(3,1,3)
180.7 Hzoblique(3,8,1)
180.7 Hzoblique(8,3,1)
180.9 Hzaxial(0,9,0)
180.9 Hzaxial(9,0,0)
181.3 Hzoblique(1,7,2)
181.3 Hzoblique(5,5,2)
181.3 Hzoblique(7,1,2)
181.8 Hzoblique(5,7,1)
181.8 Hzoblique(7,5,1)
182 Hztangential(1,9,0)
182 Hztangential(9,1,0)
183.5 Hzoblique(4,6,2)
183.5 Hzoblique(6,4,2)
183.7 Hzoblique(2,3,3)
183.7 Hzoblique(3,2,3)
184.6 Hzoblique(2,7,2)
184.6 Hzoblique(7,2,2)
185.3 Hztangential(2,9,0)
185.3 Hztangential(6,7,0)
185.3 Hztangential(7,6,0)
185.3 Hztangential(9,2,0)
187 Hztangential(0,4,3)
187 Hztangential(4,0,3)
188 Hzoblique(1,4,3)
188 Hzoblique(4,1,3)
188.3 Hzoblique(4,8,1)
188.3 Hzoblique(8,4,1)
189.1 Hzoblique(3,3,3)
189.4 Hztangential(0,9,1)
189.4 Hztangential(9,0,1)
189.6 Hztangential(5,8,0)
189.6 Hztangential(8,5,0)
190 Hzoblique(3,7,2)
190 Hzoblique(7,3,2)
190.5 Hzoblique(1,9,1)
190.5 Hzoblique(9,1,1)
190.6 Hztangential(3,9,0)
190.6 Hztangential(9,3,0)
191.2 Hzoblique(2,4,3)
191.2 Hzoblique(4,2,3)
193.1 Hzoblique(5,6,2)
193.1 Hzoblique(6,5,2)
193.6 Hzoblique(2,9,1)
193.6 Hzoblique(6,7,1)
193.6 Hzoblique(7,6,1)
193.6 Hzoblique(9,2,1)
196.2 Hztangential(0,8,2)
196.2 Hztangential(8,0,2)
196.4 Hztangential(0,5,3)
196.4 Hztangential(5,0,3)
196.4 Hzoblique(3,4,3)
196.4 Hzoblique(4,3,3)
197.3 Hzoblique(1,8,2)
197.3 Hzoblique(4,7,2)
197.3 Hzoblique(7,4,2)
197.3 Hzoblique(8,1,2)
197.5 Hzoblique(1,5,3)
197.5 Hzoblique(5,1,3)
197.8 Hzoblique(5,8,1)
197.8 Hzoblique(8,5,1)
197.9 Hztangential(4,9,0)
197.9 Hztangential(9,4,0)
198.8 Hzoblique(3,9,1)
198.8 Hzoblique(9,3,1)
198.9 Hztangential(7,7,0)

Questions about 28x28 rooms

Will a 28x28 room work for a home theater?
You can use this room as a dedicated home theater or media room, but its bass will fight you: a 29/100 modal score, mainly because two of its dimensions reinforce the same note near 20.1 Hz, means committed corner trapping and careful seat placement are not optional here.
Where should I put bass traps in a 28x28 room?
The four vertical corners first. Full absorption at 20.1 Hz would take roughly 14 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 28 by 28 ft room?
There is no fixed sub size tied to 784 sq ft; that number mostly sets this room's mode frequencies (258 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 28x28 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 20.1 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 28x28 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 20.1 Hz, since that note's own quarter wavelength (about 14 ft) is too deep for any panel. From there, move your seat to about 10.6 ft from the front wall, then measure with REW below 85 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.