Room Modes in a 26x28 ft Room with a 10 ft Ceiling

A 26 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 67/100, a decent score, typical for a room this shape. The clearest issue is that two of its dimensions reinforce the same note near 168.8 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
240
Schroeder frequency
88 Hz
Modal score
67/100

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 (26 ft)21.6 Hz43.3 Hz64.9 Hz86.6 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 26 ft width and 10 ft ceiling height both resonate near 168.8 Hz, so bass at that note will be much louder than its neighbours.
  • Between 29.5 Hz and 40.2 Hz there are no modes at all, so notes in that 10.7 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 : 2.60 : 2.80) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 88 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 26 ft width and 10 ft ceiling land on top of each other near 168.8 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 : 2.60 : 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. 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. Full absorption at 168.8 Hz would take about 1.7 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. 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 88 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 26x28 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 240 modes this room produces under 200 Hz: 21 axial, 103 tangential, 116 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)
21.6 Hzaxial(0,1,0)
29.5 Hztangential(1,1,0)
40.2 Hzaxial(2,0,0)
43.3 Hzaxial(0,2,0)
45.6 Hztangential(2,1,0)
47.7 Hztangential(1,2,0)
56.3 Hzaxial(0,0,1)
59.1 Hztangential(2,2,0)
59.7 Hztangential(1,0,1)
60.3 Hzaxial(3,0,0)
60.3 Hztangential(0,1,1)
63.5 Hzoblique(1,1,1)
64.1 Hztangential(3,1,0)
64.9 Hzaxial(0,3,0)
68 Hztangential(1,3,0)
69.1 Hztangential(2,0,1)
71 Hztangential(0,2,1)
72.5 Hzoblique(2,1,1)
73.8 Hzoblique(1,2,1)
74.2 Hztangential(3,2,0)
76.4 Hztangential(2,3,0)
80.4 Hzaxial(4,0,0)
81.6 Hzoblique(2,2,1)
82.5 Hztangential(3,0,1)
83.2 Hztangential(4,1,0)
85.3 Hzoblique(3,1,1)
85.9 Hztangential(0,3,1)
86.6 Hzaxial(0,4,0)
88.2 Hzoblique(1,3,1)
88.6 Hztangential(3,3,0)
88.9 Hztangential(1,4,0)
91.3 Hztangential(4,2,0)
93.1 Hzoblique(3,2,1)
94.8 Hzoblique(2,3,1)
95.4 Hztangential(2,4,0)
98.1 Hztangential(4,0,1)
100.5 Hzaxial(5,0,0)
100.5 Hzoblique(4,1,1)
102.8 Hztangential(5,1,0)
103.2 Hztangential(0,4,1)
103.3 Hztangential(4,3,0)
105 Hzoblique(3,3,1)
105.2 Hzoblique(1,4,1)
105.5 Hztangential(3,4,0)
107.2 Hzoblique(4,2,1)
108.2 Hzaxial(0,5,0)
109.4 Hztangential(5,2,0)
110.1 Hztangential(1,5,0)
110.8 Hzoblique(2,4,1)
112.5 Hzaxial(0,0,2)
114.3 Hztangential(1,0,2)
114.6 Hztangential(0,1,2)
115.2 Hztangential(5,0,1)
115.4 Hztangential(2,5,0)
116.3 Hzoblique(1,1,2)
117.2 Hzoblique(5,1,1)
117.7 Hzoblique(4,3,1)
118.1 Hztangential(4,4,0)
119.5 Hztangential(2,0,2)
119.6 Hztangential(5,3,0)
119.6 Hzoblique(3,4,1)
120.6 Hzaxial(6,0,0)
120.6 Hztangential(0,2,2)
121.4 Hzoblique(2,1,2)
122 Hztangential(0,5,1)
122.2 Hzoblique(1,2,2)
122.5 Hztangential(6,1,0)
123 Hzoblique(5,2,1)
123.6 Hzoblique(1,5,1)
123.9 Hztangential(3,5,0)
127.1 Hzoblique(2,2,2)
127.7 Hztangential(3,0,2)
128.1 Hztangential(6,2,0)
128.4 Hzoblique(2,5,1)
129.5 Hzoblique(3,1,2)
129.8 Hzaxial(0,6,0)
129.9 Hztangential(0,3,2)
130.8 Hzoblique(4,4,1)
131.4 Hztangential(1,6,0)
131.5 Hzoblique(1,3,2)
132.2 Hzoblique(5,3,1)
132.6 Hztangential(5,4,0)
133.1 Hztangential(6,0,1)
134.8 Hztangential(4,5,0)
134.8 Hzoblique(3,2,2)
134.8 Hzoblique(6,1,1)
135.9 Hztangential(2,6,0)
136 Hzoblique(2,3,2)
136 Hzoblique(3,5,1)
136.9 Hztangential(6,3,0)
138.3 Hztangential(4,0,2)
139.9 Hzoblique(6,2,1)
140 Hzoblique(4,1,2)
140.7 Hzaxial(7,0,0)
141.5 Hztangential(0,6,1)
142 Hztangential(0,4,2)
142.3 Hztangential(7,1,0)
142.9 Hzoblique(1,6,1)
143.2 Hztangential(3,6,0)
143.2 Hzoblique(3,3,2)
143.4 Hzoblique(1,4,2)
144.1 Hzoblique(5,4,1)
144.9 Hzoblique(4,2,2)
146.1 Hzoblique(4,5,1)
147.1 Hzoblique(2,6,1)
147.2 Hztangential(7,2,0)
147.6 Hzoblique(2,4,2)
147.7 Hztangential(5,5,0)
148 Hzoblique(6,3,1)
148.4 Hztangential(6,4,0)
150.9 Hztangential(5,0,2)
151.5 Hzaxial(0,7,0)
151.5 Hztangential(7,0,1)
152.4 Hzoblique(5,1,2)
152.7 Hztangential(4,6,0)
152.8 Hztangential(1,7,0)
152.8 Hzoblique(4,3,2)
153 Hzoblique(7,1,1)
153.8 Hzoblique(3,6,1)
154.2 Hzoblique(3,4,2)
154.9 Hztangential(7,3,0)
156.1 Hztangential(0,5,2)
156.7 Hztangential(2,7,0)
156.9 Hzoblique(5,2,2)
157.4 Hzoblique(1,5,2)
157.6 Hzoblique(7,2,1)
158 Hzoblique(5,5,1)
158.7 Hzoblique(6,4,1)
160.8 Hzaxial(8,0,0)
161.2 Hzoblique(2,5,2)
161.6 Hztangential(0,7,1)
162 Hztangential(6,5,0)
162.2 Hztangential(8,1,0)
162.7 Hzoblique(4,6,1)
162.8 Hzoblique(1,7,1)
163 Hztangential(3,7,0)
163.2 Hzoblique(4,4,2)
164.2 Hztangential(5,6,0)
164.2 Hzoblique(5,3,2)
164.8 Hzoblique(7,3,1)
164.9 Hztangential(6,0,2)
165.2 Hztangential(7,4,0)
166.3 Hzoblique(6,1,2)
166.5 Hztangential(8,2,0)
166.5 Hzoblique(2,7,1)
167.4 Hzoblique(3,5,2)
168.8 Hzaxial(0,0,3)
170 Hztangential(1,0,3)
170.2 Hztangential(0,1,3)
170.3 Hztangential(8,0,1)
170.5 Hzoblique(6,2,2)
171.4 Hzoblique(1,1,3)
171.5 Hztangential(4,7,0)
171.5 Hzoblique(6,5,1)
171.7 Hzoblique(8,1,1)
171.8 Hztangential(0,6,2)
172.5 Hzoblique(3,7,1)
173 Hzoblique(1,6,2)
173.1 Hzaxial(0,8,0)
173.4 Hztangential(8,3,0)
173.5 Hztangential(2,0,3)
173.6 Hzoblique(5,6,1)
173.9 Hzoblique(5,4,2)
174.3 Hztangential(0,2,3)
174.3 Hztangential(1,8,0)
174.5 Hzoblique(7,4,1)
174.9 Hzoblique(2,1,3)
175.4 Hzoblique(1,2,3)
175.6 Hzoblique(4,5,2)
175.7 Hzoblique(8,2,1)
176.5 Hzoblique(2,6,2)
177.2 Hztangential(6,6,0)
177.2 Hzoblique(6,3,2)
177.5 Hztangential(7,5,0)
177.7 Hztangential(2,8,0)
178.8 Hzoblique(2,2,3)
179.2 Hztangential(3,0,3)
180.1 Hztangential(7,0,2)
180.5 Hzoblique(3,1,3)
180.5 Hzoblique(4,7,1)
180.9 Hzaxial(9,0,0)
180.9 Hztangential(0,3,3)
181.4 Hzoblique(7,1,2)
181.8 Hztangential(5,7,0)
182 Hztangential(0,8,1)
182 Hzoblique(1,3,3)
182.1 Hztangential(9,1,0)
182.1 Hzoblique(3,6,2)
182.3 Hzoblique(8,3,1)
182.6 Hztangential(8,4,0)
183.1 Hzoblique(1,8,1)
183.3 Hztangential(3,8,0)
184.4 Hzoblique(3,2,3)
185.3 Hzoblique(2,3,3)
185.3 Hzoblique(7,2,2)
185.7 Hzoblique(5,5,2)
185.9 Hzoblique(6,6,1)
186 Hztangential(9,2,0)
186.2 Hzoblique(7,5,1)
186.3 Hzoblique(6,4,2)
186.4 Hzoblique(2,8,1)
187 Hztangential(4,0,3)
188.2 Hzoblique(4,1,3)
188.7 Hztangential(0,7,2)
189.4 Hztangential(9,0,1)
189.7 Hztangential(0,4,3)
189.7 Hzoblique(4,6,2)
189.8 Hzoblique(1,7,2)
190.3 Hzoblique(5,7,1)
190.6 Hzoblique(3,3,3)
190.6 Hzoblique(9,1,1)
190.8 Hzoblique(1,4,3)
190.9 Hztangential(4,8,0)
191.1 Hzoblique(8,4,1)
191.4 Hztangential(7,6,0)
191.5 Hzoblique(7,3,2)
191.8 Hzoblique(3,8,1)
191.9 Hzoblique(4,2,3)
192.2 Hztangential(9,3,0)
192.9 Hzoblique(2,7,2)
193.6 Hztangential(6,7,0)
193.8 Hztangential(8,5,0)
193.9 Hzoblique(2,4,3)
194.3 Hzoblique(9,2,1)
194.8 Hzaxial(0,9,0)
195.8 Hztangential(1,9,0)
196.2 Hztangential(8,0,2)
196.4 Hztangential(5,0,3)
197.3 Hzoblique(6,5,2)
197.4 Hzoblique(8,1,2)
197.6 Hzoblique(5,1,3)
197.9 Hzoblique(4,3,3)
198.1 Hzoblique(3,7,2)
198.9 Hztangential(2,9,0)
199 Hzoblique(3,4,3)
199 Hzoblique(4,8,1)
199 Hzoblique(5,6,2)
199.5 Hzoblique(7,6,1)
199.9 Hzoblique(7,4,2)

Questions about 26x28 rooms

Will a 26x28 room work for a home theater?
This size suits a dedicated home theater or media room, though the 67/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 168.8 Hz.
Where should I put bass traps in a 26x28 room?
The four vertical corners first. Full absorption at 168.8 Hz would take roughly 1.7 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 26 by 28 ft room?
There is no fixed sub size tied to 728 sq ft; that number mostly sets this room's mode frequencies (240 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 26x28 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 168.8 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 26x28 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 168.8 Hz, since that note's own quarter wavelength (about 1.7 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 88 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.