Room Modes in a 21x28 ft Room with a 10 ft Ceiling

A 21 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, 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 80/100, a strong score for an untreated room. The clearest issue is that two of its dimensions reinforce the same note near 80.4 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
199
Schroeder frequency
98 Hz
Modal score
80/100

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 (21 ft)26.8 Hz53.6 Hz80.4 Hz107.2 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 21 ft width both resonate at 80.4 and 160.8 Hz, so bass at those notes will be much louder than its neighbours.
  • The proportions (1 : 2.10 : 2.80) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 98 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 28 ft length and 21 ft width land on top of each other near 80.4 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 room's proportions (1 : 2.10 : 2.80, height to width to length) fall inside the Bolt area, the range acousticians consider best for spreading modes evenly. That is a genuine advantage of this room's shape, not something you can add later with treatment.

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. 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. 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 98 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 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

The table below lists every mode under 200 Hz for this room: 199 in all, 19 axial, 89 tangential and 91 oblique. Axial modes bounce between just two parallel surfaces (say, the two side walls) and are the loudest and most audible; tangential modes involve four surfaces and are quieter; oblique modes bounce off all six surfaces and are the faintest. Start with the axial rows; they cause most of the boomy or thin spots you will actually hear.

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)
56.3 Hzaxial(0,0,1)
57.2 Hztangential(1,2,0)
59.7 Hztangential(1,0,1)
60.3 Hzaxial(3,0,0)
62.3 Hztangential(0,1,1)
65.5 Hzoblique(1,1,1)
66 Hztangential(3,1,0)
67 Hztangential(2,2,0)
69.1 Hztangential(2,0,1)
74.2 Hzoblique(2,1,1)
77.7 Hztangential(0,2,1)
80.3 Hzoblique(1,2,1)
80.4 Hzaxial(0,3,0)
80.4 Hzaxial(4,0,0)
80.7 Hztangential(3,2,0)
82.5 Hztangential(3,0,1)
82.9 Hztangential(1,3,0)
84.7 Hztangential(4,1,0)
86.7 Hzoblique(3,1,1)
87.5 Hzoblique(2,2,1)
89.9 Hztangential(2,3,0)
96.6 Hztangential(4,2,0)
98.1 Hztangential(0,3,1)
98.1 Hztangential(4,0,1)
98.3 Hzoblique(3,2,1)
100.2 Hzoblique(1,3,1)
100.5 Hzaxial(5,0,0)
100.5 Hztangential(3,3,0)
101.7 Hzoblique(4,1,1)
104 Hztangential(5,1,0)
106 Hzoblique(2,3,1)
107.2 Hzaxial(0,4,0)
109 Hztangential(1,4,0)
111.8 Hzoblique(4,2,1)
112.5 Hzaxial(0,0,2)
113.7 Hztangential(4,3,0)
113.9 Hztangential(5,2,0)
114.3 Hztangential(1,0,2)
114.5 Hztangential(2,4,0)
115.2 Hztangential(5,0,1)
115.2 Hzoblique(3,3,1)
115.7 Hztangential(0,1,2)
117.4 Hzoblique(1,1,2)
118.2 Hzoblique(5,1,1)
119.5 Hztangential(2,0,2)
120.6 Hzaxial(6,0,0)
121 Hztangential(0,4,1)
122.5 Hzoblique(2,1,2)
122.7 Hzoblique(1,4,1)
123 Hztangential(3,4,0)
123.5 Hztangential(6,1,0)
124.6 Hztangential(0,2,2)
126.2 Hzoblique(1,2,2)
126.8 Hzoblique(4,3,1)
127 Hzoblique(5,2,1)
127.5 Hzoblique(2,4,1)
127.7 Hztangential(3,0,2)
128.7 Hztangential(5,3,0)
130.4 Hzoblique(3,1,2)
131 Hzoblique(2,2,2)
131.9 Hztangential(6,2,0)
133.1 Hztangential(6,0,1)
134 Hzaxial(0,5,0)
134 Hztangential(4,4,0)
135.2 Hzoblique(3,4,1)
135.5 Hztangential(1,5,0)
135.7 Hzoblique(6,1,1)
138.3 Hztangential(0,3,2)
138.3 Hztangential(4,0,2)
138.5 Hzoblique(3,2,2)
139.7 Hzoblique(1,3,2)
139.9 Hztangential(2,5,0)
140.4 Hzoblique(5,3,1)
140.7 Hzaxial(7,0,0)
140.9 Hzoblique(4,1,2)
143.2 Hztangential(7,1,0)
143.4 Hzoblique(6,2,1)
144 Hzoblique(2,3,2)
144.9 Hztangential(6,3,0)
145.3 Hztangential(0,5,1)
145.3 Hzoblique(4,4,1)
146.7 Hzoblique(1,5,1)
146.9 Hztangential(3,5,0)
146.9 Hztangential(5,4,0)
148.3 Hzoblique(4,2,2)
150.5 Hztangential(7,2,0)
150.8 Hzoblique(2,5,1)
150.9 Hztangential(5,0,2)
150.9 Hzoblique(3,3,2)
151.5 Hztangential(7,0,1)
153.2 Hzoblique(5,1,2)
153.9 Hzoblique(7,1,1)
155.4 Hztangential(0,4,2)
155.4 Hzoblique(6,3,1)
156.2 Hztangential(4,5,0)
156.7 Hzoblique(1,4,2)
157.3 Hzoblique(3,5,1)
157.3 Hzoblique(5,4,1)
160 Hzoblique(4,3,2)
160.1 Hzoblique(5,2,2)
160.5 Hzoblique(2,4,2)
160.7 Hzoblique(7,2,1)
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)
163 Hztangential(8,1,0)
164.9 Hztangential(6,0,2)
165.7 Hztangential(2,6,0)
166.1 Hzoblique(4,5,1)
166.7 Hzoblique(3,4,2)
167.1 Hzoblique(6,1,2)
167.5 Hztangential(5,5,0)
168.8 Hzaxial(0,0,3)
169.5 Hztangential(8,2,0)
170 Hztangential(1,0,3)
170.3 Hztangential(0,6,1)
170.3 Hztangential(8,0,1)
170.8 Hzoblique(6,4,1)
170.9 Hztangential(0,1,3)
170.9 Hzoblique(5,3,2)
171.5 Hzoblique(1,6,1)
171.5 Hzoblique(7,3,1)
171.7 Hztangential(3,6,0)
172.1 Hzoblique(1,1,3)
172.4 Hzoblique(8,1,1)
173.4 Hzoblique(6,2,2)
173.5 Hztangential(2,0,3)
175 Hztangential(0,5,2)
175 Hzoblique(2,6,1)
175 Hzoblique(4,4,2)
175.6 Hzoblique(2,1,3)
176.1 Hzoblique(1,5,2)
176.7 Hzoblique(5,5,1)
176.8 Hztangential(7,4,0)
177.1 Hztangential(0,2,3)
178.2 Hzoblique(1,2,3)
178.6 Hzoblique(8,2,1)
179.2 Hztangential(3,0,3)
179.5 Hzoblique(2,5,2)
179.7 Hztangential(4,6,0)
179.7 Hztangential(8,3,0)
180.1 Hztangential(7,0,2)
180.2 Hztangential(6,5,0)
180.7 Hzoblique(3,6,1)
180.9 Hzaxial(9,0,0)
181.2 Hzoblique(3,1,3)
181.6 Hzoblique(2,2,3)
182.1 Hzoblique(7,1,2)
182.8 Hztangential(9,1,0)
183.5 Hzoblique(6,3,2)
185.1 Hzoblique(3,5,2)
185.1 Hzoblique(5,4,2)
185.6 Hzoblique(7,4,1)
187 Hztangential(0,3,3)
187 Hztangential(4,0,3)
187.1 Hzoblique(3,2,3)
187.6 Hzaxial(0,7,0)
187.9 Hzoblique(7,2,2)
188 Hzoblique(1,3,3)
188.3 Hzoblique(4,6,1)
188.3 Hzoblique(8,3,1)
188.6 Hztangential(1,7,0)
188.6 Hztangential(9,2,0)
188.8 Hzoblique(6,5,1)
188.9 Hzoblique(4,1,3)
189.4 Hztangential(9,0,1)
189.6 Hztangential(5,6,0)
191.2 Hzoblique(2,3,3)
191.3 Hzoblique(9,1,1)
191.8 Hztangential(2,7,0)
192.5 Hzoblique(4,5,2)
193.2 Hztangential(8,4,0)
194.3 Hztangential(7,5,0)
194.5 Hzoblique(4,2,3)
195.8 Hztangential(0,7,1)
196.2 Hztangential(0,6,2)
196.2 Hztangential(8,0,2)
196.4 Hztangential(5,0,3)
196.4 Hzoblique(3,3,3)
196.7 Hzoblique(6,4,2)
196.8 Hzoblique(1,7,1)
196.8 Hzoblique(9,2,1)
197 Hztangential(3,7,0)
197.3 Hzoblique(1,6,2)
197.3 Hzoblique(7,3,2)
197.8 Hzoblique(5,6,1)
197.9 Hztangential(9,3,0)
198.1 Hzoblique(8,1,2)
198.3 Hzoblique(5,1,3)
199.9 Hztangential(0,4,3)
199.9 Hzoblique(2,7,1)

Questions about 21x28 rooms

Is a 21 by 28 ft room good for a music room or home theater?
Yes: 588 sq ft suits a dedicated home theater or media room nicely, and a modal score of 80/100 means this room's shape is doing most of the work for you already.
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 199 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 98 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.