Room Modes in a 27x29 ft Room with a 10 ft Ceiling

This 27x29 ft room, 10 ft to the ceiling, is a common size for a dedicated home theater or media room. Like any sealed box it resonates at fixed low notes; the lowest one lands at 19.4 Hz, driven by the 29 ft length.

On the 0-100 modal score, this room comes in at 57, a rough score, worth planning around. Before you treat anything, know that two of its dimensions reinforce the same note near 166.7 Hz.

Lowest mode
19.4 Hz
Modes under 200 Hz
259
Schroeder frequency
85 Hz
Modal score
57/100

Mode spectrum

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

2 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 (29 ft)19.4 Hz38.8 Hz58.2 Hz77.6 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 19.4 Hz, set by the 29 ft length.
  • Your 29 ft length is almost exactly three times your 10 ft ceiling height, so their modes fall close together without quite stacking.
  • 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 28.5 Hz and 38.8 Hz there are no modes at all, so notes in that 10.3 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 25 and 50 Hz third-octave bands, where fewer modes fall than in the band below, so bass will sound uneven from note to note.
  • The proportions (1 : 2.70 : 2.90) 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.

Because your 27 ft width and 10 ft ceiling are close in size, their modes stack near 166.7 Hz. Expect that one note to sound louder, and ring longer, than the rest of the bass in this room.

In a home theater, this shows up as one bass note in an action scene sounding far louder than the rest of the mix, usually a kick drum hit or an LFE cue landing right on that stacked note. In a music room, the same thing means certain bass notes on a track jump out while others next to them feel buried.

At 1 : 2.70 : 2.90, this room sits outside the Bolt area because the floor is close to square, which piles bass problems onto fewer notes instead of spreading them out. Expect to lean on bass traps and seat position a bit more than in a room with friendlier proportions.

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 166.7 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 29 ft length; roughly 11 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 85 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 27x29 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 259 modes this room produces under 200 Hz: 22 axial, 112 tangential, 125 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)
19.4 Hzaxial(1,0,0)
20.8 Hzaxial(0,1,0)
28.5 Hztangential(1,1,0)
38.8 Hzaxial(2,0,0)
41.7 Hzaxial(0,2,0)
44 Hztangential(2,1,0)
46 Hztangential(1,2,0)
56.3 Hzaxial(0,0,1)
56.9 Hztangential(2,2,0)
58.2 Hzaxial(3,0,0)
59.5 Hztangential(1,0,1)
60 Hztangential(0,1,1)
61.8 Hztangential(3,1,0)
62.5 Hzaxial(0,3,0)
63.1 Hzoblique(1,1,1)
65.5 Hztangential(1,3,0)
68.3 Hztangential(2,0,1)
70 Hztangential(0,2,1)
71.5 Hzoblique(2,1,1)
71.6 Hztangential(3,2,0)
72.7 Hzoblique(1,2,1)
73.6 Hztangential(2,3,0)
77.6 Hzaxial(4,0,0)
80.1 Hzoblique(2,2,1)
80.4 Hztangential(4,1,0)
81 Hztangential(3,0,1)
83.4 Hzaxial(0,4,0)
83.6 Hzoblique(3,1,1)
84.1 Hztangential(0,3,1)
85.4 Hztangential(3,3,0)
85.6 Hztangential(1,4,0)
86.3 Hzoblique(1,3,1)
88.1 Hztangential(4,2,0)
91.1 Hzoblique(3,2,1)
91.9 Hztangential(2,4,0)
92.6 Hzoblique(2,3,1)
95.9 Hztangential(4,0,1)
97 Hzaxial(5,0,0)
98.1 Hzoblique(4,1,1)
99.2 Hztangential(5,1,0)
99.7 Hztangential(4,3,0)
100.6 Hztangential(0,4,1)
101.7 Hztangential(3,4,0)
102.3 Hzoblique(3,3,1)
102.4 Hzoblique(1,4,1)
104.2 Hzaxial(0,5,0)
104.5 Hzoblique(4,2,1)
105.6 Hztangential(5,2,0)
106 Hztangential(1,5,0)
107.8 Hzoblique(2,4,1)
111.2 Hztangential(2,5,0)
112.1 Hztangential(5,0,1)
112.5 Hzaxial(0,0,2)
113.9 Hztangential(4,4,0)
114.1 Hzoblique(5,1,1)
114.2 Hztangential(1,0,2)
114.4 Hztangential(0,1,2)
114.4 Hzoblique(4,3,1)
115.4 Hztangential(5,3,0)
116.1 Hzoblique(1,1,2)
116.2 Hzoblique(3,4,1)
116.4 Hzaxial(6,0,0)
118.3 Hztangential(6,1,0)
118.4 Hztangential(0,5,1)
119 Hztangential(2,0,2)
119.4 Hztangential(3,5,0)
119.6 Hzoblique(5,2,1)
120 Hztangential(0,2,2)
120 Hzoblique(1,5,1)
120.8 Hzoblique(2,1,2)
121.6 Hzoblique(1,2,2)
123.6 Hztangential(6,2,0)
124.6 Hzoblique(2,5,1)
125 Hzaxial(0,6,0)
126.1 Hzoblique(2,2,2)
126.5 Hztangential(1,6,0)
126.7 Hztangential(3,0,2)
127 Hzoblique(4,4,1)
127.9 Hztangential(5,4,0)
128.4 Hzoblique(3,1,2)
128.4 Hzoblique(5,3,1)
128.7 Hztangential(0,3,2)
129.3 Hztangential(6,0,1)
129.9 Hztangential(4,5,0)
130.2 Hzoblique(1,3,2)
130.9 Hztangential(2,6,0)
131 Hzoblique(6,1,1)
132 Hzoblique(3,5,1)
132.1 Hztangential(6,3,0)
133.4 Hzoblique(3,2,2)
134.5 Hzoblique(2,3,2)
135.8 Hzaxial(7,0,0)
135.8 Hzoblique(6,2,1)
136.7 Hztangential(4,0,2)
137.1 Hztangential(0,6,1)
137.4 Hztangential(7,1,0)
137.9 Hztangential(3,6,0)
138.3 Hzoblique(4,1,2)
138.5 Hzoblique(1,6,1)
139.7 Hzoblique(5,4,1)
140 Hztangential(0,4,2)
141.3 Hzoblique(3,3,2)
141.4 Hzoblique(1,4,2)
141.6 Hzoblique(4,5,1)
142.1 Hztangential(7,2,0)
142.4 Hztangential(5,5,0)
142.5 Hzoblique(2,6,1)
142.9 Hzoblique(4,2,2)
143.2 Hztangential(6,4,0)
143.6 Hzoblique(6,3,1)
145.3 Hzoblique(2,4,2)
145.9 Hzaxial(0,7,0)
147 Hztangential(7,0,1)
147.2 Hztangential(1,7,0)
147.2 Hztangential(4,6,0)
148.5 Hzoblique(7,1,1)
148.6 Hztangential(5,0,2)
149 Hzoblique(3,6,1)
149.5 Hztangential(7,3,0)
150 Hzoblique(5,1,2)
150.3 Hzoblique(4,3,2)
150.9 Hztangential(2,7,0)
151.7 Hzoblique(3,4,2)
152.8 Hzoblique(7,2,1)
153.1 Hzoblique(5,5,1)
153.4 Hztangential(0,5,2)
153.8 Hzoblique(6,4,1)
154.3 Hzoblique(5,2,2)
154.6 Hzoblique(1,5,2)
155.2 Hzaxial(8,0,0)
156.2 Hztangential(6,5,0)
156.4 Hztangential(0,7,1)
156.6 Hztangential(8,1,0)
157.1 Hztangential(3,7,0)
157.6 Hzoblique(1,7,1)
157.6 Hzoblique(4,6,1)
158.2 Hzoblique(2,5,2)
158.3 Hztangential(5,6,0)
159.4 Hztangential(7,4,0)
159.8 Hzoblique(7,3,1)
160.1 Hzoblique(4,4,2)
160.7 Hztangential(8,2,0)
161.1 Hzoblique(2,7,1)
161.2 Hzoblique(5,3,2)
161.9 Hztangential(6,0,2)
163.2 Hzoblique(6,1,2)
164 Hzoblique(3,5,2)
165.1 Hztangential(8,0,1)
165.2 Hztangential(4,7,0)
166.1 Hzoblique(6,5,1)
166.4 Hzoblique(8,1,1)
166.7 Hzaxial(0,8,0)
166.8 Hzoblique(3,7,1)
167.2 Hzoblique(6,2,2)
167.3 Hztangential(8,3,0)
167.8 Hztangential(1,8,0)
168 Hzoblique(5,6,1)
168.2 Hztangential(0,6,2)
168.8 Hzaxial(0,0,3)
169 Hzoblique(7,4,1)
169.3 Hzoblique(1,6,2)
169.9 Hztangential(1,0,3)
170.1 Hztangential(0,1,3)
170.3 Hzoblique(8,2,1)
170.4 Hzoblique(5,4,2)
170.8 Hztangential(6,6,0)
171.2 Hztangential(2,8,0)
171.2 Hztangential(7,5,0)
171.2 Hzoblique(1,1,3)
171.9 Hzoblique(4,5,2)
172.6 Hzoblique(2,6,2)
173.2 Hztangential(2,0,3)
173.6 Hzoblique(6,3,2)
173.9 Hztangential(0,2,3)
174.5 Hzoblique(2,1,3)
174.6 Hzaxial(9,0,0)
174.6 Hzoblique(4,7,1)
174.9 Hzoblique(1,2,3)
175.2 Hztangential(5,7,0)
175.9 Hztangential(9,1,0)
176 Hztangential(0,8,1)
176.2 Hztangential(8,4,0)
176.4 Hztangential(7,0,2)
176.5 Hzoblique(8,3,1)
176.6 Hztangential(3,8,0)
177 Hzoblique(1,8,1)
177.6 Hzoblique(7,1,2)
178 Hzoblique(3,6,2)
178.1 Hzoblique(2,2,3)
178.6 Hztangential(3,0,3)
179.5 Hztangential(9,2,0)
179.8 Hzoblique(3,1,3)
179.9 Hzoblique(6,6,1)
180 Hztangential(0,3,3)
180.2 Hzoblique(2,8,1)
180.2 Hzoblique(7,5,1)
181 Hzoblique(1,3,3)
181.2 Hzoblique(7,2,2)
181.5 Hzoblique(5,5,2)
182.1 Hzoblique(6,4,2)
183.4 Hzoblique(3,2,3)
183.5 Hztangential(9,0,1)
183.9 Hztangential(4,8,0)
184 Hzoblique(5,7,1)
184.1 Hzoblique(2,3,3)
184.2 Hztangential(0,7,2)
184.6 Hztangential(7,6,0)
184.6 Hzoblique(9,1,1)
185 Hzoblique(8,4,1)
185.3 Hzoblique(1,7,2)
185.3 Hzoblique(3,8,1)
185.3 Hzoblique(4,6,2)
185.5 Hztangential(9,3,0)
185.8 Hztangential(4,0,3)
186.6 Hztangential(6,7,0)
186.9 Hztangential(8,5,0)
187 Hzoblique(4,1,3)
187.1 Hzoblique(7,3,2)
187.6 Hzaxial(0,9,0)
188.1 Hzoblique(9,2,1)
188.3 Hztangential(0,4,3)
188.3 Hzoblique(2,7,2)
188.6 Hztangential(1,9,0)
189.2 Hzoblique(3,3,3)
189.3 Hzoblique(1,4,3)
190.4 Hzoblique(4,2,3)
191.5 Hztangential(2,9,0)
191.7 Hztangential(8,0,2)
192.2 Hzoblique(2,4,3)
192.3 Hzoblique(4,8,1)
192.5 Hzoblique(6,5,2)
192.8 Hzoblique(8,1,2)
192.9 Hztangential(5,8,0)
193 Hzoblique(7,6,1)
193.2 Hzoblique(3,7,2)
193.5 Hztangential(9,4,0)
193.8 Hzoblique(9,3,1)
194 Hzaxial(10,0,0)
194.2 Hzoblique(5,6,2)
194.7 Hztangential(5,0,3)
194.9 Hzoblique(6,7,1)
195.1 Hztangential(10,1,0)
195.1 Hzoblique(7,4,2)
195.2 Hzoblique(8,5,1)
195.8 Hztangential(0,9,1)
195.8 Hzoblique(5,1,3)
196 Hzoblique(4,3,3)
196.2 Hzoblique(8,2,2)
196.4 Hztangential(3,9,0)
196.8 Hzoblique(1,9,1)
197.1 Hzoblique(3,4,3)
198.4 Hztangential(0,5,3)
198.4 Hztangential(10,2,0)
199.1 Hzoblique(5,2,3)
199.3 Hztangential(7,7,0)
199.3 Hztangential(8,6,0)
199.3 Hzoblique(1,5,3)
199.6 Hzoblique(2,9,1)
199.9 Hzoblique(4,7,2)

Questions about 27x29 rooms

Will a 27x29 room work for a home theater?
This size suits a dedicated home theater or media room, though the 57/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 166.7 Hz.
Where should I put bass traps in a 27x29 room?
The four vertical corners first. Full absorption at 166.7 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 27 by 29 ft room?
There is no fixed sub size tied to 783 sq ft; that number mostly sets this room's mode frequencies (259 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 27x29 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 166.7 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 27x29 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 166.7 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 11 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.