Room Modes in a 29x30 ft Room with an 8 ft Ceiling

A 29 by 30 ft room with an 8 ft ceiling suits a dedicated home theater or media room. Its lowest room mode sits at 18.8 Hz, set by the 30 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 60/100, a decent score, typical for a room this shape. The clearest issue is that there is a gap of 10.9 Hz between 43.1 Hz and 54.0 Hz with no mode in between.

Lowest mode
18.8 Hz
Modes under 200 Hz
232
Schroeder frequency
90 Hz
Modal score
60/100

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 (30 ft)18.8 Hz37.5 Hz56.3 Hz75 Hz
Width (29 ft)19.4 Hz38.8 Hz58.2 Hz77.6 Hz
Ceiling height (8 ft)70.3 Hz140.7 Hz211 Hz281.3 Hz

What this means for your room

  • The lowest room mode is 18.8 Hz, set by the 30 ft length.
  • Your 30 ft length is almost the same as your 29 ft width, so their modes fall close together without quite stacking.
  • Between 43.1 Hz and 54.0 Hz there are no modes at all, so notes in that 10.9 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 25, 31.5 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 : 3.63 : 3.75) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 90 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

This room has a hole of 10.9 Hz between 43.1 Hz and 54.0 Hz where no mode helps the bass along. Anything tuned to that range reads weaker than its neighbors.

For a home theater, expect that gap 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 : 3.63 : 3.75) 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.
  2. At 25.0 Hz the quarter wavelength is about 11.3 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. Move your listening position off-center along the 30 ft length; roughly 11.4 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 90 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 29x30 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: 232 in all, 22 axial, 108 tangential and 102 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)
18.8 Hzaxial(1,0,0)
19.4 Hzaxial(0,1,0)
27 Hztangential(1,1,0)
37.5 Hzaxial(2,0,0)
38.8 Hzaxial(0,2,0)
42.2 Hztangential(2,1,0)
43.1 Hztangential(1,2,0)
54 Hztangential(2,2,0)
56.3 Hzaxial(3,0,0)
58.2 Hzaxial(0,3,0)
59.5 Hztangential(3,1,0)
61.2 Hztangential(1,3,0)
68.3 Hztangential(3,2,0)
69.2 Hztangential(2,3,0)
70.3 Hzaxial(0,0,1)
72.8 Hztangential(1,0,1)
73 Hztangential(0,1,1)
75 Hzaxial(4,0,0)
75.3 Hzoblique(1,1,1)
77.5 Hztangential(4,1,0)
77.6 Hzaxial(0,4,0)
79.7 Hztangential(2,0,1)
79.8 Hztangential(1,4,0)
80.3 Hztangential(0,2,1)
81 Hztangential(3,3,0)
82 Hzoblique(2,1,1)
82.5 Hzoblique(1,2,1)
84.5 Hztangential(4,2,0)
86.2 Hztangential(2,4,0)
88.7 Hzoblique(2,2,1)
90.1 Hztangential(3,0,1)
91.3 Hztangential(0,3,1)
92.1 Hzoblique(3,1,1)
93.2 Hzoblique(1,3,1)
93.8 Hzaxial(5,0,0)
95 Hztangential(4,3,0)
95.8 Hztangential(5,1,0)
95.9 Hztangential(3,4,0)
97 Hzaxial(0,5,0)
98.1 Hzoblique(3,2,1)
98.7 Hzoblique(2,3,1)
98.8 Hztangential(1,5,0)
101.5 Hztangential(5,2,0)
102.8 Hztangential(4,0,1)
104 Hztangential(2,5,0)
104.6 Hzoblique(4,1,1)
104.7 Hztangential(0,4,1)
106.4 Hzoblique(1,4,1)
107.2 Hzoblique(3,3,1)
107.9 Hztangential(4,4,0)
109.9 Hzoblique(4,2,1)
110.4 Hztangential(5,3,0)
111.3 Hzoblique(2,4,1)
112.1 Hztangential(3,5,0)
112.5 Hzaxial(6,0,0)
114.2 Hztangential(6,1,0)
116.4 Hzaxial(0,6,0)
117.2 Hztangential(5,0,1)
117.9 Hztangential(1,6,0)
118.2 Hzoblique(4,3,1)
118.8 Hzoblique(5,1,1)
118.9 Hzoblique(3,4,1)
119 Hztangential(6,2,0)
119.8 Hztangential(0,5,1)
121.3 Hzoblique(1,5,1)
121.7 Hztangential(5,4,0)
122.3 Hztangential(2,6,0)
122.6 Hztangential(4,5,0)
123.5 Hzoblique(5,2,1)
125.6 Hzoblique(2,5,1)
126.7 Hztangential(6,3,0)
128.8 Hzoblique(4,4,1)
129.3 Hztangential(3,6,0)
130.9 Hzoblique(5,3,1)
131.3 Hzaxial(7,0,0)
132.4 Hzoblique(3,5,1)
132.7 Hztangential(6,0,1)
132.7 Hztangential(7,1,0)
134.1 Hzoblique(6,1,1)
134.9 Hztangential(5,5,0)
135.8 Hzaxial(0,7,0)
136 Hztangential(0,6,1)
136.7 Hztangential(6,4,0)
136.9 Hztangential(7,2,0)
137.1 Hztangential(1,7,0)
137.3 Hzoblique(1,6,1)
138.3 Hzoblique(6,2,1)
138.5 Hztangential(4,6,0)
140.6 Hzoblique(5,4,1)
140.7 Hzaxial(0,0,2)
140.9 Hztangential(2,7,0)
141.1 Hzoblique(2,6,1)
141.4 Hzoblique(4,5,1)
141.9 Hztangential(1,0,2)
142 Hztangential(0,1,2)
143.2 Hzoblique(1,1,2)
143.6 Hztangential(7,3,0)
144.9 Hzoblique(6,3,1)
145.6 Hztangential(2,0,2)
145.9 Hztangential(0,2,2)
146.9 Hzoblique(2,1,2)
147 Hztangential(3,7,0)
147.1 Hzoblique(1,2,2)
147.2 Hzoblique(3,6,1)
148.6 Hztangential(6,5,0)
148.9 Hztangential(7,0,1)
149.5 Hztangential(5,6,0)
150 Hzaxial(8,0,0)
150.2 Hzoblique(7,1,1)
150.7 Hzoblique(2,2,2)
151.3 Hztangential(8,1,0)
151.5 Hztangential(3,0,2)
152.2 Hztangential(0,3,2)
152.2 Hzoblique(5,5,1)
152.5 Hztangential(7,4,0)
152.7 Hzoblique(3,1,2)
152.9 Hztangential(0,7,1)
153.4 Hzoblique(1,3,2)
153.7 Hzoblique(6,4,1)
153.9 Hzoblique(7,2,1)
154.1 Hzoblique(1,7,1)
155 Hztangential(8,2,0)
155.2 Hzaxial(0,8,0)
155.2 Hztangential(4,7,0)
155.3 Hzoblique(4,6,1)
156.3 Hztangential(1,8,0)
156.4 Hzoblique(3,2,2)
156.8 Hzoblique(2,3,2)
157.5 Hzoblique(2,7,1)
159.4 Hztangential(4,0,2)
159.7 Hztangential(2,8,0)
159.9 Hzoblique(7,3,1)
160.6 Hzoblique(4,1,2)
160.7 Hztangential(0,4,2)
160.9 Hztangential(8,3,0)
161.7 Hzoblique(1,4,2)
161.9 Hztangential(6,6,0)
162.3 Hzoblique(3,3,2)
163 Hzoblique(3,7,1)
163.2 Hztangential(7,5,0)
164.1 Hzoblique(4,2,2)
164.4 Hzoblique(6,5,1)
165 Hztangential(5,7,0)
165 Hzoblique(2,4,2)
165.1 Hztangential(3,8,0)
165.2 Hzoblique(5,6,1)
165.7 Hztangential(8,0,1)
166.8 Hzoblique(8,1,1)
167.9 Hzoblique(7,4,1)
168.8 Hzaxial(9,0,0)
168.9 Hztangential(8,4,0)
169.1 Hztangential(5,0,2)
169.7 Hzoblique(4,3,2)
169.9 Hztangential(9,1,0)
170.2 Hzoblique(3,4,2)
170.2 Hzoblique(5,1,2)
170.2 Hzoblique(8,2,1)
170.4 Hztangential(0,8,1)
170.4 Hzoblique(4,7,1)
170.9 Hztangential(0,5,2)
171.4 Hzoblique(1,8,1)
171.9 Hzoblique(1,5,2)
172.4 Hztangential(4,8,0)
173.2 Hztangential(9,2,0)
173.5 Hzoblique(5,2,2)
174.5 Hzoblique(2,8,1)
174.6 Hzaxial(0,9,0)
174.9 Hzoblique(2,5,2)
175.5 Hztangential(7,6,0)
175.6 Hztangential(1,9,0)
175.6 Hzoblique(8,3,1)
176.4 Hztangential(6,7,0)
176.5 Hzoblique(6,6,1)
177.3 Hzoblique(4,4,2)
177.7 Hzoblique(7,5,1)
178.6 Hztangential(2,9,0)
178.6 Hztangential(9,3,0)
178.7 Hztangential(8,5,0)
178.8 Hzoblique(5,3,2)
179.4 Hzoblique(5,7,1)
179.5 Hzoblique(3,8,1)
179.9 Hzoblique(3,5,2)
180.1 Hztangential(6,0,2)
181.2 Hzoblique(6,1,2)
181.3 Hztangential(5,8,0)
182.6 Hztangential(0,6,2)
182.9 Hztangential(9,0,1)
183 Hzoblique(8,4,1)
183.5 Hztangential(3,9,0)
183.6 Hzoblique(1,6,2)
183.9 Hzoblique(9,1,1)
184.3 Hzoblique(6,2,2)
185.8 Hztangential(9,4,0)
186 Hzoblique(5,4,2)
186.2 Hzoblique(4,8,1)
186.4 Hzoblique(2,6,2)
186.6 Hzoblique(4,5,2)
186.9 Hzoblique(9,2,1)
187.6 Hzaxial(10,0,0)
188.3 Hztangential(0,9,1)
188.6 Hztangential(10,1,0)
188.9 Hztangential(7,7,0)
189 Hzoblique(7,6,1)
189.2 Hzoblique(1,9,1)
189.3 Hzoblique(6,3,2)
189.9 Hztangential(8,6,0)
189.9 Hzoblique(6,7,1)
190.1 Hztangential(4,9,0)
191.1 Hzoblique(3,6,2)
191.5 Hztangential(10,2,0)
191.7 Hztangential(6,8,0)
191.9 Hzoblique(9,3,1)
192 Hzoblique(2,9,1)
192 Hzoblique(8,5,1)
192.4 Hztangential(7,0,2)
193.4 Hzoblique(7,1,2)
194 Hzaxial(0,10,0)
194.5 Hzoblique(5,8,1)
194.7 Hztangential(9,5,0)
194.9 Hztangential(1,10,0)
194.9 Hzoblique(5,5,2)
195.5 Hztangential(0,7,2)
196.1 Hzoblique(6,4,2)
196.3 Hzoblique(7,2,2)
196.4 Hztangential(10,3,0)
196.4 Hzoblique(1,7,2)
196.5 Hzoblique(3,9,1)
197.4 Hzoblique(4,6,2)
197.6 Hztangential(2,10,0)
198.2 Hztangential(5,9,0)
198.7 Hzoblique(9,4,1)
199.1 Hzoblique(2,7,2)

Questions about 29x30 rooms

Will a 29x30 room work for a home theater?
This size suits a dedicated home theater or media room, though the 60/100 modal score signals some work ahead, mainly because there is a gap of 10.9 Hz between 43.1 Hz and 54.0 Hz with no mode in between.
Where should I put bass traps in a 29x30 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 25.0 Hz mode itself would need about 11.3 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 25.0 Hz.
What subwoofer size is right for a 29 by 30 ft room?
There is no fixed sub size tied to 870 sq ft; that number mostly sets this room's mode frequencies (232 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 29x30 room have weak bass notes?
The short answer for this room: there is a gap of 10.9 Hz between 43.1 Hz and 54.0 Hz with no mode in between. 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 29x30 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 25.0 Hz, since that note's own quarter wavelength (about 11.3 ft) is too deep for any panel. From there, move your seat to about 11.4 ft from the front wall, then measure with REW below 90 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.