Room Modes in a 27x27 ft Room with a 10 ft Ceiling

At 27 by 27 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 20.8 Hz, set by the 27 ft length and 27 ft width.

That puts its modal score at 30 out of 100, a tough score, this room's shape fights you more than most. The main thing to plan around: two of its dimensions reinforce the same note near 20.8 Hz.

Lowest mode
20.8 Hz
Modes under 200 Hz
241
Schroeder frequency
88 Hz
Modal score
30/100

Mode spectrum

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

5 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 (27 ft)20.8 Hz41.7 Hz62.5 Hz83.4 Hz
Width (27 ft)20.8 Hz41.7 Hz62.5 Hz83.4 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 20.8 Hz, set by the 27 ft length and 27 ft width.
  • Your length and width are both 27 ft, so their modes land on the same notes (20.8, 41.7, 62.5 Hz and 6 more below 200 Hz), doubling the boost at each.
  • Your 27 ft length and 10 ft ceiling height both resonate near 166.7 Hz, so bass at that note will be much louder than its neighbours.
  • Your 27 ft width and 10 ft ceiling height both resonate near 166.7 Hz, so bass at that note will be much louder than its neighbours.
  • Between 29.5 Hz and 41.7 Hz there are no modes at all, so notes in that 12.2 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 : 2.70 : 2.70) 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.

Your 27 ft length and 27 ft width share a mode near 20.8 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.

This room's ratio (1 : 2.70 : 2.70) is outside the Bolt area: the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. Treatment can still get it sounding good, but the shape is not helping as much as it could.

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 20.8 Hz would take about 13.5 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 27 ft length. Start near 10.3 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 88 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 27x27 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 241 modes this room produces under 200 Hz: 21 axial, 106 tangential, 114 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)
20.8 Hzaxial(0,1,0)
20.8 Hzaxial(1,0,0)
29.5 Hztangential(1,1,0)
41.7 Hzaxial(0,2,0)
41.7 Hzaxial(2,0,0)
46.6 Hztangential(1,2,0)
46.6 Hztangential(2,1,0)
56.3 Hzaxial(0,0,1)
58.9 Hztangential(2,2,0)
60 Hztangential(0,1,1)
60 Hztangential(1,0,1)
62.5 Hzaxial(0,3,0)
62.5 Hzaxial(3,0,0)
63.5 Hzoblique(1,1,1)
65.9 Hztangential(1,3,0)
65.9 Hztangential(3,1,0)
70 Hztangential(0,2,1)
70 Hztangential(2,0,1)
73.1 Hzoblique(1,2,1)
73.1 Hzoblique(2,1,1)
75.1 Hztangential(2,3,0)
75.1 Hztangential(3,2,0)
81.5 Hzoblique(2,2,1)
83.4 Hzaxial(0,4,0)
83.4 Hzaxial(4,0,0)
84.1 Hztangential(0,3,1)
84.1 Hztangential(3,0,1)
85.9 Hztangential(1,4,0)
85.9 Hztangential(4,1,0)
86.7 Hzoblique(1,3,1)
86.7 Hzoblique(3,1,1)
88.4 Hztangential(3,3,0)
93.2 Hztangential(2,4,0)
93.2 Hztangential(4,2,0)
93.9 Hzoblique(2,3,1)
93.9 Hzoblique(3,2,1)
100.6 Hztangential(0,4,1)
100.6 Hztangential(4,0,1)
102.7 Hzoblique(1,4,1)
102.7 Hzoblique(4,1,1)
104.2 Hzaxial(0,5,0)
104.2 Hzaxial(5,0,0)
104.2 Hztangential(3,4,0)
104.2 Hztangential(4,3,0)
104.8 Hzoblique(3,3,1)
106.3 Hztangential(1,5,0)
106.3 Hztangential(5,1,0)
108.9 Hzoblique(2,4,1)
108.9 Hzoblique(4,2,1)
112.2 Hztangential(2,5,0)
112.2 Hztangential(5,2,0)
112.5 Hzaxial(0,0,2)
114.4 Hztangential(0,1,2)
114.4 Hztangential(1,0,2)
116.3 Hzoblique(1,1,2)
117.9 Hztangential(4,4,0)
118.4 Hztangential(0,5,1)
118.4 Hztangential(5,0,1)
118.4 Hzoblique(3,4,1)
118.4 Hzoblique(4,3,1)
120 Hztangential(0,2,2)
120 Hztangential(2,0,2)
120.2 Hzoblique(1,5,1)
120.2 Hzoblique(5,1,1)
121.5 Hztangential(3,5,0)
121.5 Hztangential(5,3,0)
121.8 Hzoblique(1,2,2)
121.8 Hzoblique(2,1,2)
125 Hzaxial(0,6,0)
125 Hzaxial(6,0,0)
125.5 Hzoblique(2,5,1)
125.5 Hzoblique(5,2,1)
126.8 Hztangential(1,6,0)
126.8 Hztangential(6,1,0)
127 Hzoblique(2,2,2)
128.7 Hztangential(0,3,2)
128.7 Hztangential(3,0,2)
130.4 Hzoblique(1,3,2)
130.4 Hzoblique(3,1,2)
130.6 Hzoblique(4,4,1)
131.8 Hztangential(2,6,0)
131.8 Hztangential(6,2,0)
133.4 Hztangential(4,5,0)
133.4 Hztangential(5,4,0)
133.9 Hzoblique(3,5,1)
133.9 Hzoblique(5,3,1)
135.3 Hzoblique(2,3,2)
135.3 Hzoblique(3,2,2)
137.1 Hztangential(0,6,1)
137.1 Hztangential(6,0,1)
138.7 Hzoblique(1,6,1)
138.7 Hzoblique(6,1,1)
139.8 Hztangential(3,6,0)
139.8 Hztangential(6,3,0)
140 Hztangential(0,4,2)
140 Hztangential(4,0,2)
141.6 Hzoblique(1,4,2)
141.6 Hzoblique(4,1,2)
143.1 Hzoblique(3,3,2)
143.3 Hzoblique(2,6,1)
143.3 Hzoblique(6,2,1)
144.8 Hzoblique(4,5,1)
144.8 Hzoblique(5,4,1)
145.9 Hzaxial(0,7,0)
145.9 Hzaxial(7,0,0)
146.1 Hzoblique(2,4,2)
146.1 Hzoblique(4,2,2)
147.4 Hztangential(1,7,0)
147.4 Hztangential(5,5,0)
147.4 Hztangential(7,1,0)
150.3 Hztangential(4,6,0)
150.3 Hztangential(6,4,0)
150.7 Hzoblique(3,6,1)
150.7 Hzoblique(6,3,1)
151.7 Hztangential(2,7,0)
151.7 Hztangential(7,2,0)
153.4 Hztangential(0,5,2)
153.4 Hztangential(5,0,2)
153.4 Hzoblique(3,4,2)
153.4 Hzoblique(4,3,2)
154.8 Hzoblique(1,5,2)
154.8 Hzoblique(5,1,2)
156.4 Hztangential(0,7,1)
156.4 Hztangential(7,0,1)
157.7 Hzoblique(1,7,1)
157.7 Hzoblique(5,5,1)
157.7 Hzoblique(7,1,1)
158.7 Hztangential(3,7,0)
158.7 Hztangential(7,3,0)
158.9 Hzoblique(2,5,2)
158.9 Hzoblique(5,2,2)
160.5 Hzoblique(4,6,1)
160.5 Hzoblique(6,4,1)
161.8 Hzoblique(2,7,1)
161.8 Hzoblique(7,2,1)
162.8 Hztangential(5,6,0)
162.8 Hztangential(6,5,0)
163 Hzoblique(4,4,2)
165.6 Hzoblique(3,5,2)
165.6 Hzoblique(5,3,2)
166.7 Hzaxial(0,8,0)
166.7 Hzaxial(8,0,0)
168 Hztangential(1,8,0)
168 Hztangential(4,7,0)
168 Hztangential(7,4,0)
168 Hztangential(8,1,0)
168.2 Hztangential(0,6,2)
168.2 Hztangential(6,0,2)
168.4 Hzoblique(3,7,1)
168.4 Hzoblique(7,3,1)
168.8 Hzaxial(0,0,3)
169.5 Hzoblique(1,6,2)
169.5 Hzoblique(6,1,2)
170.1 Hztangential(0,1,3)
170.1 Hztangential(1,0,3)
171.4 Hzoblique(1,1,3)
171.8 Hztangential(2,8,0)
171.8 Hztangential(8,2,0)
172.2 Hzoblique(5,6,1)
172.2 Hzoblique(6,5,1)
173.3 Hzoblique(2,6,2)
173.3 Hzoblique(6,2,2)
173.9 Hztangential(0,2,3)
173.9 Hztangential(2,0,3)
174.6 Hzoblique(4,5,2)
174.6 Hzoblique(5,4,2)
175.1 Hzoblique(1,2,3)
175.1 Hzoblique(2,1,3)
176 Hztangential(0,8,1)
176 Hztangential(8,0,1)
176.8 Hztangential(6,6,0)
177.2 Hzoblique(1,8,1)
177.2 Hzoblique(4,7,1)
177.2 Hzoblique(7,4,1)
177.2 Hzoblique(8,1,1)
178.1 Hztangential(3,8,0)
178.1 Hztangential(8,3,0)
178.8 Hzoblique(2,2,3)
179.3 Hztangential(5,7,0)
179.3 Hztangential(7,5,0)
179.5 Hzoblique(3,6,2)
179.5 Hzoblique(6,3,2)
180 Hztangential(0,3,3)
180 Hztangential(3,0,3)
180.8 Hzoblique(2,8,1)
180.8 Hzoblique(8,2,1)
181.2 Hzoblique(1,3,3)
181.2 Hzoblique(3,1,3)
184.2 Hztangential(0,7,2)
184.2 Hztangential(7,0,2)
184.8 Hzoblique(2,3,3)
184.8 Hzoblique(3,2,3)
185.4 Hzoblique(1,7,2)
185.4 Hzoblique(5,5,2)
185.4 Hzoblique(7,1,2)
185.6 Hzoblique(6,6,1)
186.4 Hztangential(4,8,0)
186.4 Hztangential(8,4,0)
186.7 Hzoblique(3,8,1)
186.7 Hzoblique(8,3,1)
187.6 Hzaxial(0,9,0)
187.6 Hzaxial(9,0,0)
187.7 Hzoblique(4,6,2)
187.7 Hzoblique(6,4,2)
187.9 Hzoblique(5,7,1)
187.9 Hzoblique(7,5,1)
188.3 Hztangential(0,4,3)
188.3 Hztangential(4,0,3)
188.7 Hztangential(1,9,0)
188.7 Hztangential(9,1,0)
188.9 Hzoblique(2,7,2)
188.9 Hzoblique(7,2,2)
189.4 Hzoblique(1,4,3)
189.4 Hzoblique(4,1,3)
190.6 Hzoblique(3,3,3)
192.1 Hztangential(2,9,0)
192.1 Hztangential(6,7,0)
192.1 Hztangential(7,6,0)
192.1 Hztangential(9,2,0)
192.8 Hzoblique(2,4,3)
192.8 Hzoblique(4,2,3)
194.6 Hzoblique(3,7,2)
194.6 Hzoblique(7,3,2)
194.7 Hzoblique(4,8,1)
194.7 Hzoblique(8,4,1)
195.8 Hztangential(0,9,1)
195.8 Hztangential(9,0,1)
196.6 Hztangential(5,8,0)
196.6 Hztangential(8,5,0)
196.9 Hzoblique(1,9,1)
196.9 Hzoblique(9,1,1)
197.7 Hztangential(3,9,0)
197.7 Hztangential(9,3,0)
197.9 Hzoblique(5,6,2)
197.9 Hzoblique(6,5,2)
198.4 Hztangential(0,5,3)
198.4 Hztangential(5,0,3)
198.4 Hzoblique(3,4,3)
198.4 Hzoblique(4,3,3)
199.5 Hzoblique(1,5,3)
199.5 Hzoblique(5,1,3)

Questions about 27x27 rooms

Will a 27x27 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 30/100 modal score, mainly because two of its dimensions reinforce the same note near 20.8 Hz, means committed corner trapping and careful seat placement are not optional here.
Where should I put bass traps in a 27x27 room?
The four vertical corners first. Full absorption at 20.8 Hz would take roughly 13.5 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 27 by 27 ft room?
There is no fixed sub size tied to 729 sq ft; that number mostly sets this room's mode frequencies (241 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 27x27 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 20.8 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 27x27 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 20.8 Hz, since that note's own quarter wavelength (about 13.5 ft) is too deep for any panel. From there, move your seat to about 10.3 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.