Room Modes in a 19x21 ft Room with an 8 ft Ceiling

At 19 by 21 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 26.8 Hz, set by the 21 ft length.

That puts its modal score at 92 out of 100, a strong score for an untreated room. The main thing to plan around: there is a gap of 13.7 Hz between 39.9 Hz and 53.6 Hz with no mode in between.

Lowest mode
26.8 Hz
Modes under 200 Hz
114
Schroeder frequency
133 Hz
Modal score
92/100

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 (21 ft)26.8 Hz53.6 Hz80.4 Hz107.2 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 26.8 Hz, set by the 21 ft length.
  • Between 39.9 Hz and 53.6 Hz there are no modes at all, so notes in that 13.7 Hz gap will sound thinner than the bass around them.
  • The proportions (1 : 2.38 : 2.63) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 133 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Between 39.9 Hz and 53.6 Hz there is no mode to reinforce anything, a gap of 13.7 Hz. Notes that fall in that gap sound thinner and quieter than notes just above or below it.

If you use this room for movies, that gap 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.

Height, width and length work out to 1 : 2.38 : 2.63, which lands inside the Bolt area. Rooms with that proportion usually need less correction than a room shaped like a cube or a hallway.

How to fix it, in order

  1. Put your first traps in the four vertical corners where floor meets ceiling; that is where every mode in this room reaches its loudest point.
  2. Full absorption at 26.8 Hz would take about 10.5 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. Avoid the exact middle of the 21 ft length for your seat or mix position; try around 8 ft from the front wall (38% of the length) as a starting point, then nudge from there by ear.
  4. Test more than one subwoofer position. Corner placement drives the most output but also the least even bass; moving it along a wall or using two subs at different spots tends to average out this room’s peaks.
  5. Confirm the fix with an REW measurement at the listening position, paying closest attention below 133 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 19x21 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: 114 in all, 15 axial, 55 tangential and 44 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)
26.8 Hzaxial(1,0,0)
29.6 Hzaxial(0,1,0)
39.9 Hztangential(1,1,0)
53.6 Hzaxial(2,0,0)
59.2 Hzaxial(0,2,0)
61.2 Hztangential(2,1,0)
65 Hztangential(1,2,0)
70.3 Hzaxial(0,0,1)
75.3 Hztangential(1,0,1)
76.3 Hztangential(0,1,1)
79.9 Hztangential(2,2,0)
80.4 Hzaxial(3,0,0)
80.9 Hzoblique(1,1,1)
85.7 Hztangential(3,1,0)
88.4 Hztangential(2,0,1)
88.8 Hzaxial(0,3,0)
91.9 Hztangential(0,2,1)
92.8 Hztangential(1,3,0)
93.2 Hzoblique(2,1,1)
95.8 Hzoblique(1,2,1)
99.8 Hztangential(3,2,0)
103.8 Hztangential(2,3,0)
106.4 Hzoblique(2,2,1)
106.8 Hztangential(3,0,1)
107.2 Hzaxial(4,0,0)
110.8 Hzoblique(3,1,1)
111.2 Hztangential(4,1,0)
113.3 Hztangential(0,3,1)
116.4 Hzoblique(1,3,1)
118.5 Hzaxial(0,4,0)
119.8 Hztangential(3,3,0)
121.4 Hztangential(1,4,0)
122.1 Hzoblique(3,2,1)
122.5 Hztangential(4,2,0)
125.3 Hzoblique(2,3,1)
128.2 Hztangential(4,0,1)
130 Hztangential(2,4,0)
131.6 Hzoblique(4,1,1)
134 Hzaxial(5,0,0)
137.2 Hztangential(5,1,0)
137.8 Hztangential(0,4,1)
138.9 Hzoblique(3,3,1)
139.2 Hztangential(4,3,0)
140.3 Hzoblique(1,4,1)
140.7 Hzaxial(0,0,2)
141.2 Hzoblique(4,2,1)
143.2 Hztangential(1,0,2)
143.2 Hztangential(3,4,0)
143.7 Hztangential(0,1,2)
146.2 Hzoblique(1,1,2)
146.5 Hztangential(5,2,0)
147.8 Hzoblique(2,4,1)
148.1 Hzaxial(0,5,0)
150.5 Hztangential(1,5,0)
150.5 Hztangential(2,0,2)
151.3 Hztangential(5,0,1)
152.6 Hztangential(0,2,2)
153.4 Hzoblique(2,1,2)
154.2 Hzoblique(5,1,1)
155 Hzoblique(1,2,2)
156 Hzoblique(4,3,1)
157.5 Hztangential(2,5,0)
159.5 Hzoblique(3,4,1)
159.7 Hztangential(4,4,0)
160.7 Hztangential(5,3,0)
160.8 Hzaxial(6,0,0)
161.8 Hzoblique(2,2,2)
162 Hztangential(3,0,2)
162.5 Hzoblique(5,2,1)
163.5 Hztangential(6,1,0)
163.9 Hztangential(0,5,1)
164.7 Hzoblique(3,1,2)
166.1 Hzoblique(1,5,1)
166.4 Hztangential(0,3,2)
168.5 Hztangential(3,5,0)
168.5 Hzoblique(1,3,2)
171.3 Hztangential(6,2,0)
172.5 Hzoblique(2,5,1)
172.5 Hzoblique(3,2,2)
174.5 Hzoblique(4,4,1)
174.8 Hzoblique(2,3,2)
175.5 Hztangential(6,0,1)
175.5 Hzoblique(5,3,1)
176.8 Hztangential(4,0,2)
177.7 Hzaxial(0,6,0)
178 Hzoblique(6,1,1)
178.8 Hztangential(5,4,0)
179.3 Hzoblique(4,1,2)
179.7 Hztangential(1,6,0)
182.6 Hzoblique(3,5,1)
182.8 Hztangential(4,5,0)
183.7 Hztangential(6,3,0)
183.9 Hztangential(0,4,2)
184.8 Hzoblique(3,3,2)
185.2 Hzoblique(6,2,1)
185.6 Hztangential(2,6,0)
185.8 Hzoblique(1,4,2)
186.5 Hzoblique(4,2,2)
187.6 Hzaxial(7,0,0)
189.9 Hztangential(7,1,0)
191.1 Hztangential(0,6,1)
191.5 Hzoblique(2,4,2)
192.2 Hzoblique(5,4,1)
193 Hzoblique(1,6,1)
194.3 Hztangential(5,0,2)
195 Hztangential(3,6,0)
195.9 Hzoblique(4,5,1)
196.5 Hzoblique(5,1,2)
196.7 Hztangential(7,2,0)
196.7 Hzoblique(6,3,1)
197.9 Hzoblique(4,3,2)
198.5 Hzoblique(2,6,1)
199.7 Hztangential(5,5,0)
199.7 Hztangential(6,4,0)

Questions about 19x21 rooms

Will a 19x21 room work for a home theater?
This size fits a dedicated home theater or media room well. At 92/100, the modal score is good, so treatment here is mostly fine-tuning rather than fixing real problems.
Where should I put bass traps in a 19x21 room?
The four vertical corners first. Full absorption at 26.8 Hz would take roughly 10.5 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 19 by 21 ft room?
There is no fixed sub size tied to 399 sq ft; that number mostly sets this room's mode frequencies (114 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 19x21 room have weak bass notes?
The short answer for this room: there is a gap of 13.7 Hz between 39.9 Hz and 53.6 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 19x21 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 26.8 Hz, since that note's own quarter wavelength (about 10.5 ft) is too deep for any panel. From there, move your seat to about 8 ft from the front wall, then measure with REW below 133 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.