Room Modes in a 19x24 ft Room with a 9 ft Ceiling

This 19x24 ft room, 9 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 23.4 Hz, driven by the 24 ft length.

On the 0-100 modal score, this room comes in at 80, a strong score for an untreated room. Before you treat anything, know that two of its dimensions reinforce the same note near 117.2 Hz.

Lowest mode
23.4 Hz
Modes under 200 Hz
144
Schroeder frequency
117 Hz
Modal score
80/100

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 (24 ft)23.4 Hz46.9 Hz70.3 Hz93.8 Hz
Width (19 ft)29.6 Hz59.2 Hz88.8 Hz118.5 Hz
Ceiling height (9 ft)62.5 Hz125 Hz187.6 Hz250.1 Hz

What this means for your room

  • The lowest room mode is 23.4 Hz, set by the 24 ft length.
  • Your 24 ft length and 19 ft width both resonate near 117.2 Hz, so bass at that note will be much louder than its neighbours.
  • Your 24 ft length and 9 ft ceiling height both resonate at 187.6 Hz, so bass at that note will be much louder than its neighbours.
  • The proportions (1 : 2.11 : 2.67) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 117 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 24 ft length and 19 ft width are close in size, their modes stack near 117.2 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 a ratio of 1 : 2.11 : 2.67, this room sits inside the Bolt area, the zone where modes tend to spread out rather than pile up. Shape is doing you a favor here.

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, ceiling height included.
  2. Full absorption at 117.2 Hz would take about 2.4 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 24 ft length for your seat or mix position; try around 9.1 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 117 Hz; above that, general room reverb matters more than any single mode.

These numbers assume an empty rectangular 19x24 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 144 modes this room produces under 200 Hz: 17 axial, 66 tangential, 61 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)
23.4 Hzaxial(1,0,0)
29.6 Hzaxial(0,1,0)
37.8 Hztangential(1,1,0)
46.9 Hzaxial(2,0,0)
55.5 Hztangential(2,1,0)
59.2 Hzaxial(0,2,0)
62.5 Hzaxial(0,0,1)
63.7 Hztangential(1,2,0)
66.8 Hztangential(1,0,1)
69.2 Hztangential(0,1,1)
70.3 Hzaxial(3,0,0)
73 Hzoblique(1,1,1)
75.5 Hztangential(2,2,0)
76.3 Hztangential(3,1,0)
78.1 Hztangential(2,0,1)
83.6 Hzoblique(2,1,1)
86.1 Hztangential(0,2,1)
88.8 Hzaxial(0,3,0)
89.3 Hzoblique(1,2,1)
91.9 Hztangential(1,3,0)
91.9 Hztangential(3,2,0)
93.8 Hzaxial(4,0,0)
94.1 Hztangential(3,0,1)
98.1 Hzoblique(2,2,1)
98.3 Hztangential(4,1,0)
98.7 Hzoblique(3,1,1)
100.5 Hztangential(2,3,0)
108.6 Hztangential(0,3,1)
110.9 Hztangential(4,2,0)
111.1 Hzoblique(1,3,1)
111.2 Hzoblique(3,2,1)
112.7 Hztangential(4,0,1)
113.3 Hztangential(3,3,0)
116.5 Hzoblique(4,1,1)
117.2 Hzaxial(5,0,0)
118.3 Hzoblique(2,3,1)
118.5 Hzaxial(0,4,0)
120.8 Hztangential(1,4,0)
120.9 Hztangential(5,1,0)
125 Hzaxial(0,0,2)
127.2 Hztangential(1,0,2)
127.3 Hzoblique(4,2,1)
127.4 Hztangential(2,4,0)
128.5 Hztangential(0,1,2)
129.2 Hztangential(4,3,0)
129.4 Hzoblique(3,3,1)
130.6 Hzoblique(1,1,2)
131.3 Hztangential(5,2,0)
132.9 Hztangential(5,0,1)
133.5 Hztangential(2,0,2)
133.9 Hztangential(0,4,1)
136 Hzoblique(1,4,1)
136.1 Hzoblique(5,1,1)
136.8 Hzoblique(2,1,2)
137.8 Hztangential(3,4,0)
138.4 Hztangential(0,2,2)
140.3 Hzoblique(1,2,2)
140.7 Hzaxial(6,0,0)
141.9 Hzoblique(2,4,1)
143.5 Hztangential(3,0,2)
143.5 Hzoblique(4,3,1)
143.7 Hztangential(6,1,0)
145.5 Hzoblique(5,2,1)
146.1 Hzoblique(2,2,2)
146.5 Hzoblique(3,1,2)
147.1 Hztangential(5,3,0)
148.1 Hzaxial(0,5,0)
149.9 Hztangential(1,5,0)
151.1 Hztangential(4,4,0)
151.3 Hzoblique(3,4,1)
152.6 Hztangential(6,2,0)
153.4 Hztangential(0,3,2)
153.9 Hztangential(6,0,1)
155.2 Hzoblique(1,3,2)
155.2 Hzoblique(3,2,2)
155.3 Hztangential(2,5,0)
156.3 Hztangential(4,0,2)
156.8 Hzoblique(6,1,1)
159.1 Hzoblique(4,1,2)
159.8 Hzoblique(5,3,1)
160.4 Hzoblique(2,3,2)
160.7 Hztangential(0,5,1)
162.4 Hzoblique(1,5,1)
163.5 Hzoblique(4,4,1)
163.9 Hztangential(3,5,0)
164.1 Hzaxial(7,0,0)
164.9 Hzoblique(6,2,1)
166.4 Hztangential(6,3,0)
166.7 Hztangential(5,4,0)
166.8 Hztangential(7,1,0)
167.1 Hzoblique(4,2,2)
167.4 Hzoblique(2,5,1)
168.7 Hzoblique(3,3,2)
171.4 Hztangential(5,0,2)
172.2 Hztangential(0,4,2)
173.8 Hzoblique(1,4,2)
173.9 Hzoblique(5,1,2)
174.5 Hztangential(7,2,0)
175.3 Hztangential(4,5,0)
175.4 Hzoblique(3,5,1)
175.6 Hztangential(7,0,1)
177.7 Hzaxial(0,6,0)
177.7 Hzoblique(6,3,1)
178 Hzoblique(5,4,1)
178.1 Hzoblique(7,1,1)
178.5 Hzoblique(2,4,2)
179.2 Hztangential(1,6,0)
179.8 Hzoblique(4,3,2)
181.3 Hzoblique(5,2,2)
183.8 Hztangential(2,6,0)
183.9 Hztangential(6,4,0)
185.3 Hzoblique(7,2,1)
186 Hzoblique(3,4,2)
186.1 Hzoblique(4,5,1)
186.6 Hztangential(7,3,0)
187.6 Hzaxial(0,0,3)
187.6 Hzaxial(8,0,0)
188.2 Hztangential(6,0,2)
188.4 Hztangential(0,6,1)
188.9 Hztangential(5,5,0)
189 Hztangential(1,0,3)
189.8 Hzoblique(1,6,1)
189.9 Hztangential(0,1,3)
189.9 Hztangential(8,1,0)
190.5 Hzoblique(6,1,2)
191.1 Hztangential(3,6,0)
191.3 Hzoblique(1,1,3)
193 Hzoblique(5,3,2)
193.3 Hztangential(2,0,3)
193.8 Hztangential(0,5,2)
194.1 Hzoblique(2,6,1)
194.2 Hzoblique(6,4,1)
195.2 Hzoblique(1,5,2)
195.6 Hzoblique(2,1,3)
196.1 Hzoblique(4,4,2)
196.7 Hztangential(0,2,3)
196.7 Hztangential(8,2,0)
196.8 Hzoblique(7,3,1)
197.3 Hzoblique(6,2,2)
197.7 Hztangential(8,0,1)
198.1 Hzoblique(1,2,3)
198.9 Hzoblique(5,5,1)
199.4 Hzoblique(2,5,2)
199.9 Hzoblique(8,1,1)

Questions about 19x24 rooms

Is a 19 by 24 ft room good for a music room or home theater?
Yes: 456 sq ft suits a dedicated home theater or media room nicely, and a modal score of 80/100 means this room's shape is doing most of the work for you already.
What is the best corner for bass traps in a 19x24 room?
The four vertical corners first. Full absorption at 117.2 Hz would take roughly 2.4 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 size subwoofer does a 19x24 room need?
Subwoofer size is less about this room's 456 sq ft and more about the output headroom you want; room size mainly changes where the 144 modes below 200 Hz fall. A room this size needs more sub output to reach the same level as a smaller one, and running two subs at different spots evens out the response between seats.
Why is bass boomy in one spot in a 19 by 24 ft room?
Here it comes down to this: two of its dimensions reinforce the same note near 117.2 Hz. That is a property of the room's shape, not your equipment, so treatment, not a better sub, is the fix.
What is the fastest fix for bass in a 19x24 room?
Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 117.2 Hz, since that note's own quarter wavelength (about 2.4 ft) is too deep for any panel. After that, reposition your seat near 9.1 ft from the front wall and verify with REW below 117 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.