Room Modes in a 15x28 ft Room with an 8 ft Ceiling

A 15 by 28 ft room with an 8 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 60/100, a decent score, typical for a room this shape. The clearest issue is that two of its dimensions reinforce the same note near 140.7 Hz.

Lowest mode
20.1 Hz
Modes under 200 Hz
119
Schroeder frequency
130 Hz
Modal score
60/100

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 (28 ft)20.1 Hz40.2 Hz60.3 Hz80.4 Hz
Width (15 ft)37.5 Hz75 Hz112.5 Hz150 Hz
Ceiling height (8 ft)70.3 Hz140.7 Hz211 Hz281.3 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 8 ft ceiling height both resonate at 140.7 Hz, so bass at that note will be much louder than its neighbours.
  • Between 20.1 Hz and 37.5 Hz there are no modes at all, so notes in that 17.4 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 : 1.88 : 3.50) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 130 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

The modes from your 28 ft length and 8 ft ceiling land on top of each other near 140.7 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 : 1.88 : 3.50, 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. 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. At 140.7 Hz the quarter wavelength is about 2 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 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 130 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 15x28 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 119 modes this room produces under 200 Hz: 16 axial, 58 tangential, 45 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)
37.5 Hzaxial(0,1,0)
40.2 Hzaxial(2,0,0)
42.6 Hztangential(1,1,0)
55 Hztangential(2,1,0)
60.3 Hzaxial(3,0,0)
70.3 Hzaxial(0,0,1)
71 Hztangential(3,1,0)
73.1 Hztangential(1,0,1)
75 Hzaxial(0,2,0)
77.7 Hztangential(1,2,0)
79.7 Hztangential(0,1,1)
80.4 Hzaxial(4,0,0)
81 Hztangential(2,0,1)
82.2 Hzoblique(1,1,1)
85.1 Hztangential(2,2,0)
88.7 Hztangential(4,1,0)
89.3 Hzoblique(2,1,1)
92.6 Hztangential(3,0,1)
96.2 Hztangential(3,2,0)
99.9 Hzoblique(3,1,1)
100.5 Hzaxial(5,0,0)
102.8 Hztangential(0,2,1)
104.8 Hzoblique(1,2,1)
106.8 Hztangential(4,0,1)
107.2 Hztangential(5,1,0)
110 Hztangential(4,2,0)
110.4 Hzoblique(2,2,1)
112.5 Hzaxial(0,3,0)
113.2 Hzoblique(4,1,1)
114.3 Hztangential(1,3,0)
119.2 Hzoblique(3,2,1)
119.5 Hztangential(2,3,0)
120.6 Hzaxial(6,0,0)
122.6 Hztangential(5,0,1)
125.4 Hztangential(5,2,0)
126.3 Hztangential(6,1,0)
127.7 Hztangential(3,3,0)
128.3 Hzoblique(5,1,1)
130.5 Hzoblique(4,2,1)
132.7 Hztangential(0,3,1)
134.2 Hzoblique(1,3,1)
138.3 Hztangential(4,3,0)
138.7 Hzoblique(2,3,1)
139.6 Hztangential(6,0,1)
140.7 Hzaxial(0,0,2)
140.7 Hzaxial(7,0,0)
142 Hztangential(6,2,0)
142.1 Hztangential(1,0,2)
143.8 Hzoblique(5,2,1)
144.5 Hzoblique(6,1,1)
145.6 Hztangential(0,1,2)
145.6 Hztangential(7,1,0)
145.8 Hzoblique(3,3,1)
146.3 Hztangential(2,0,2)
147 Hzoblique(1,1,2)
150 Hzaxial(0,4,0)
150.9 Hztangential(5,3,0)
151 Hzoblique(2,1,2)
151.4 Hztangential(1,4,0)
153 Hztangential(3,0,2)
155.1 Hzoblique(4,3,1)
155.3 Hztangential(2,4,0)
157.3 Hztangential(7,0,1)
157.6 Hzoblique(3,1,2)
158.5 Hzoblique(6,2,1)
159.4 Hztangential(0,2,2)
159.4 Hztangential(7,2,0)
160.7 Hzoblique(1,2,2)
160.8 Hzaxial(8,0,0)
161.7 Hztangential(3,4,0)
161.7 Hzoblique(7,1,1)
162 Hztangential(4,0,2)
164.4 Hzoblique(2,2,2)
164.9 Hztangential(6,3,0)
165.1 Hztangential(8,1,0)
165.7 Hztangential(0,4,1)
166.3 Hzoblique(4,1,2)
166.5 Hzoblique(5,3,1)
166.9 Hzoblique(1,4,1)
170.2 Hztangential(4,4,0)
170.4 Hzoblique(3,2,2)
170.5 Hzoblique(2,4,1)
172.9 Hztangential(5,0,2)
174.2 Hzoblique(7,2,1)
175.5 Hztangential(8,0,1)
176.3 Hzoblique(3,4,1)
176.9 Hzoblique(5,1,2)
177.4 Hztangential(8,2,0)
178.5 Hzoblique(4,2,2)
179.3 Hzoblique(6,3,1)
179.4 Hzoblique(8,1,1)
180.1 Hztangential(0,3,2)
180.1 Hztangential(7,3,0)
180.6 Hztangential(5,4,0)
180.9 Hzaxial(9,0,0)
181.3 Hzoblique(1,3,2)
184.2 Hzoblique(4,4,1)
184.6 Hzoblique(2,3,2)
184.7 Hztangential(9,1,0)
185.3 Hztangential(6,0,2)
187.6 Hzaxial(0,5,0)
188.4 Hzoblique(5,2,2)
188.6 Hztangential(1,5,0)
189 Hzoblique(6,1,2)
190 Hzoblique(3,3,2)
190.8 Hzoblique(8,2,1)
191.8 Hztangential(2,5,0)
192.5 Hztangential(6,4,0)
193.4 Hzoblique(7,3,1)
193.8 Hzoblique(5,4,1)
194.1 Hztangential(9,0,1)
195.8 Hztangential(9,2,0)
196.2 Hztangential(8,3,0)
197 Hztangential(3,5,0)
197.3 Hzoblique(4,3,2)
197.6 Hzoblique(9,1,1)
198.9 Hztangential(7,0,2)
199.9 Hzoblique(6,2,2)

Questions about 15x28 rooms

Will a 15x28 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 two of its dimensions reinforce the same note near 140.7 Hz.
Where should I put bass traps in a 15x28 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 140.7 Hz mode itself would need about 2 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 140.7 Hz.
What subwoofer size is right for a 15 by 28 ft room?
There is no fixed sub size tied to 420 sq ft; that number mostly sets this room's mode frequencies (119 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 15x28 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 140.7 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 15x28 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 140.7 Hz, since that note's own quarter wavelength (about 2 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 130 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.