Room Modes in a 19x20 ft Room with an 8 ft Ceiling

At 19 by 20 ft with an 8 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 28.1 Hz, set by the 20 ft length.

That puts its modal score at 61 out of 100, a decent score, typical for a room this shape. The main thing to plan around: two of its dimensions reinforce the same note near 140.7 Hz.

Lowest mode
28.1 Hz
Modes under 200 Hz
108
Schroeder frequency
136 Hz
Modal score
61/100

Mode spectrum

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

4 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 (20 ft)28.1 Hz56.3 Hz84.4 Hz112.5 Hz
Width (19 ft)29.6 Hz59.2 Hz88.8 Hz118.5 Hz
Ceiling height (8 ft)70.3 Hz140.7 Hz211 Hz281.3 Hz

What this means for your room

  • The lowest room mode is 28.1 Hz, set by the 20 ft length.
  • Your 20 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 40.8 Hz and 56.3 Hz there are no modes at all, so notes in that 15.5 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 40 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 : 2.38 : 2.50) fall outside the Bolt area because the floor is close to square, which concentrates bass problems on fewer notes.
  • Below about 136 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 20 ft length and 8 ft ceiling share a mode near 140.7 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 : 2.38 : 2.50) 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. 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 20 ft length; roughly 7.6 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 136 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 19x20 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: 108 in all, 15 axial, 52 tangential and 41 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)
28.1 Hzaxial(1,0,0)
29.6 Hzaxial(0,1,0)
40.8 Hztangential(1,1,0)
56.3 Hzaxial(2,0,0)
59.2 Hzaxial(0,2,0)
63.6 Hztangential(2,1,0)
65.6 Hztangential(1,2,0)
70.3 Hzaxial(0,0,1)
75.8 Hztangential(1,0,1)
76.3 Hztangential(0,1,1)
81.3 Hzoblique(1,1,1)
81.7 Hztangential(2,2,0)
84.4 Hzaxial(3,0,0)
88.8 Hzaxial(0,3,0)
89.4 Hztangential(3,1,0)
90.1 Hztangential(2,0,1)
91.9 Hztangential(0,2,1)
93.2 Hztangential(1,3,0)
94.8 Hzoblique(2,1,1)
96.2 Hzoblique(1,2,1)
103.1 Hztangential(3,2,0)
105.2 Hztangential(2,3,0)
107.8 Hzoblique(2,2,1)
109.9 Hztangential(3,0,1)
112.5 Hzaxial(4,0,0)
113.3 Hztangential(0,3,1)
113.8 Hzoblique(3,1,1)
116.4 Hztangential(4,1,0)
116.8 Hzoblique(1,3,1)
118.5 Hzaxial(0,4,0)
121.8 Hztangential(1,4,0)
122.5 Hztangential(3,3,0)
124.8 Hzoblique(3,2,1)
126.5 Hzoblique(2,3,1)
127.2 Hztangential(4,2,0)
131.1 Hztangential(2,4,0)
132.7 Hztangential(4,0,1)
136 Hzoblique(4,1,1)
137.8 Hztangential(0,4,1)
140.6 Hzoblique(1,4,1)
140.7 Hzaxial(0,0,2)
140.7 Hzaxial(5,0,0)
141.3 Hzoblique(3,3,1)
143.4 Hztangential(4,3,0)
143.5 Hztangential(1,0,2)
143.7 Hztangential(0,1,2)
143.7 Hztangential(5,1,0)
145.3 Hzoblique(4,2,1)
145.4 Hztangential(3,4,0)
146.5 Hzoblique(1,1,2)
148.1 Hzaxial(0,5,0)
148.8 Hzoblique(2,4,1)
150.7 Hztangential(1,5,0)
151.5 Hztangential(2,0,2)
152.6 Hztangential(0,2,2)
152.6 Hztangential(5,2,0)
154.4 Hzoblique(2,1,2)
155.2 Hzoblique(1,2,2)
157.3 Hztangential(5,0,1)
158.4 Hztangential(2,5,0)
159.7 Hzoblique(4,3,1)
160 Hzoblique(5,1,1)
161.6 Hzoblique(3,4,1)
162.7 Hzoblique(2,2,2)
163.4 Hztangential(4,4,0)
163.9 Hztangential(0,5,1)
164 Hztangential(3,0,2)
166.3 Hzoblique(1,5,1)
166.4 Hztangential(0,3,2)
166.4 Hztangential(5,3,0)
166.7 Hzoblique(3,1,2)
168.1 Hzoblique(5,2,1)
168.7 Hzoblique(1,3,2)
168.8 Hzaxial(6,0,0)
170.4 Hztangential(3,5,0)
171.4 Hztangential(6,1,0)
173.3 Hzoblique(2,5,1)
174.4 Hzoblique(3,2,2)
175.6 Hzoblique(2,3,2)
177.7 Hzaxial(0,6,0)
177.9 Hzoblique(4,4,1)
178.9 Hztangential(6,2,0)
179.9 Hztangential(1,6,0)
180.1 Hztangential(4,0,2)
180.6 Hzoblique(5,3,1)
182.6 Hzoblique(4,1,2)
182.9 Hztangential(6,0,1)
183.9 Hztangential(0,4,2)
183.9 Hztangential(5,4,0)
184.4 Hzoblique(3,5,1)
185.2 Hzoblique(6,1,1)
186 Hztangential(4,5,0)
186 Hzoblique(1,4,2)
186.4 Hztangential(2,6,0)
186.6 Hzoblique(3,3,2)
189.6 Hzoblique(4,2,2)
190.8 Hztangential(6,3,0)
191.1 Hztangential(0,6,1)
192.2 Hzoblique(6,2,1)
192.3 Hzoblique(2,4,2)
193.2 Hzoblique(1,6,1)
196.7 Hztangential(3,6,0)
196.9 Hzaxial(7,0,0)
196.9 Hzoblique(5,4,1)
198.8 Hzoblique(4,5,1)
198.9 Hztangential(5,0,2)
199.1 Hztangential(7,1,0)
199.2 Hzoblique(2,6,1)

Questions about 19x20 rooms

Is a 19x20 room good for a home theater?
At 380 sq ft, this size works as a dedicated home theater or media room, but a modal score of 61/100 means it is workable, not effortless: two of its dimensions reinforce the same note near 140.7 Hz, so plan on real bass trapping.
Where do bass traps go in a 19 by 20 ft 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.
Do I need a big subwoofer for a 19x20 room?
Room size here mainly shapes where the modes land, not the sub size on its own; this room has 108 modes below 200 Hz to work around either way. Larger rooms like this one ask more of a subwoofer's output, and a second sub in a different spot helps smooth out the peaks and dips across seats.
Why does one bass note boom in a 19x20 room?
In this room, the main cause is that two of its dimensions reinforce the same note near 140.7 Hz. Room modes reinforce specific notes more than others no matter how good your speakers are, and that unevenness is what you are hearing.
How many bass traps does a 19 by 20 ft room need?
Start by treating the four corners with traps 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. Next, shift your listening position toward 7.6 ft from the front wall, then confirm progress with an REW sweep under 136 Hz.

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.