Room Modes in a 19x23 ft Room with a 9 ft Ceiling

This 19x23 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 24.5 Hz, driven by the 23 ft length.

On the 0-100 modal score, this room comes in at 75, a decent score, typical for a room this shape. Before you treat anything, know that two of its dimensions reinforce the same note near 122.3 Hz.

Lowest mode
24.5 Hz
Modes under 200 Hz
138
Schroeder frequency
120 Hz
Modal score
75/100

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 (23 ft)24.5 Hz48.9 Hz73.4 Hz97.9 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 24.5 Hz, set by the 23 ft length.
  • Your 23 ft length and 19 ft width both resonate near 146.8 Hz, so bass at that note will be much louder than its neighbours.
  • Your 23 ft length and 9 ft ceiling height both resonate near 122.3 Hz, so bass at that note will be much louder than its neighbours.
  • Between 38.4 Hz and 48.9 Hz there are no modes at all, so notes in that 10.5 Hz gap will sound thinner than the bass around them.
  • The proportions (1 : 2.11 : 2.56) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 120 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Because your 23 ft length and 9 ft ceiling are close in size, their modes stack near 122.3 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 : 2.56, 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. 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 122.3 Hz the quarter wavelength is about 2.3 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 23 ft length; roughly 8.7 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 120 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

These numbers assume an empty rectangular 19x23 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 138 modes this room produces under 200 Hz: 17 axial, 64 tangential, 57 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)
24.5 Hzaxial(1,0,0)
29.6 Hzaxial(0,1,0)
38.4 Hztangential(1,1,0)
48.9 Hzaxial(2,0,0)
57.2 Hztangential(2,1,0)
59.2 Hzaxial(0,2,0)
62.5 Hzaxial(0,0,1)
64.1 Hztangential(1,2,0)
67.1 Hztangential(1,0,1)
69.2 Hztangential(0,1,1)
73.4 Hzaxial(3,0,0)
73.4 Hzoblique(1,1,1)
76.8 Hztangential(2,2,0)
79.1 Hztangential(3,1,0)
79.4 Hztangential(2,0,1)
84.7 Hzoblique(2,1,1)
86.1 Hztangential(0,2,1)
88.8 Hzaxial(0,3,0)
89.5 Hzoblique(1,2,1)
92.1 Hztangential(1,3,0)
94.3 Hztangential(3,2,0)
96.4 Hztangential(3,0,1)
97.9 Hzaxial(4,0,0)
99 Hzoblique(2,2,1)
100.9 Hzoblique(3,1,1)
101.4 Hztangential(2,3,0)
102.2 Hztangential(4,1,0)
108.6 Hztangential(0,3,1)
111.4 Hzoblique(1,3,1)
113.1 Hzoblique(3,2,1)
114.4 Hztangential(4,2,0)
115.2 Hztangential(3,3,0)
116.1 Hztangential(4,0,1)
118.5 Hzaxial(0,4,0)
119.1 Hzoblique(2,3,1)
119.8 Hzoblique(4,1,1)
121 Hztangential(1,4,0)
122.3 Hzaxial(5,0,0)
125 Hzaxial(0,0,2)
125.9 Hztangential(5,1,0)
127.4 Hztangential(1,0,2)
128.2 Hztangential(2,4,0)
128.5 Hztangential(0,1,2)
130.4 Hzoblique(4,2,1)
130.8 Hzoblique(1,1,2)
131.1 Hzoblique(3,3,1)
132.2 Hztangential(4,3,0)
133.9 Hztangential(0,4,1)
134.3 Hztangential(2,0,2)
135.9 Hztangential(5,2,0)
136.2 Hzoblique(1,4,1)
137.4 Hztangential(5,0,1)
137.5 Hzoblique(2,1,2)
138.4 Hztangential(0,2,2)
139.3 Hztangential(3,4,0)
140.5 Hzoblique(1,2,2)
140.5 Hzoblique(5,1,1)
142.6 Hzoblique(2,4,1)
145 Hztangential(3,0,2)
146.2 Hzoblique(4,3,1)
146.8 Hzaxial(6,0,0)
146.8 Hzoblique(2,2,2)
148 Hzoblique(3,1,2)
148.1 Hzaxial(0,5,0)
149.6 Hzoblique(5,2,1)
149.7 Hztangential(6,1,0)
150.1 Hztangential(1,5,0)
151.2 Hztangential(5,3,0)
152.7 Hzoblique(3,4,1)
153.4 Hztangential(0,3,2)
153.6 Hztangential(4,4,0)
155.3 Hzoblique(1,3,2)
155.9 Hztangential(2,5,0)
156.6 Hzoblique(3,2,2)
158.3 Hztangential(6,2,0)
158.8 Hztangential(4,0,2)
159.5 Hztangential(6,0,1)
160.7 Hztangential(0,5,1)
161 Hzoblique(2,3,2)
161.5 Hzoblique(4,1,2)
162.3 Hzoblique(6,1,1)
162.6 Hzoblique(1,5,1)
163.6 Hzoblique(5,3,1)
165.3 Hztangential(3,5,0)
165.9 Hzoblique(4,4,1)
168 Hzoblique(2,5,1)
169.5 Hzoblique(4,2,2)
170 Hzoblique(3,3,2)
170.2 Hzoblique(6,2,1)
170.3 Hztangential(5,4,0)
171.2 Hzaxial(7,0,0)
171.6 Hztangential(6,3,0)
172.2 Hztangential(0,4,2)
173.8 Hztangential(7,1,0)
174 Hzoblique(1,4,2)
174.9 Hztangential(5,0,2)
176.7 Hzoblique(3,5,1)
177.4 Hzoblique(5,1,2)
177.5 Hztangential(4,5,0)
177.7 Hzaxial(0,6,0)
179.1 Hzoblique(2,4,2)
179.4 Hztangential(1,6,0)
181.2 Hztangential(7,2,0)
181.4 Hzoblique(5,4,1)
181.9 Hzoblique(4,3,2)
182.3 Hztangential(7,0,1)
182.6 Hzoblique(6,3,1)
184.3 Hztangential(2,6,0)
184.7 Hzoblique(5,2,2)
184.7 Hzoblique(7,1,1)
187.2 Hzoblique(3,4,2)
187.6 Hzaxial(0,0,3)
188.2 Hzoblique(4,5,1)
188.4 Hztangential(0,6,1)
188.6 Hztangential(6,4,0)
189.1 Hztangential(1,0,3)
189.9 Hztangential(0,1,3)
189.9 Hzoblique(1,6,1)
191.4 Hzoblique(1,1,3)
191.7 Hzoblique(7,2,1)
192.1 Hztangential(5,5,0)
192.2 Hztangential(3,6,0)
192.8 Hztangential(6,0,2)
192.9 Hztangential(7,3,0)
193.8 Hztangential(0,5,2)
193.8 Hztangential(2,0,3)
194.6 Hzoblique(2,6,1)
195.1 Hzoblique(6,1,2)
195.3 Hzoblique(1,5,2)
195.7 Hzaxial(8,0,0)
196.1 Hzoblique(2,1,3)
196.2 Hzoblique(5,3,2)
196.7 Hztangential(0,2,3)
197.9 Hztangential(8,1,0)
198.1 Hzoblique(4,4,2)
198.2 Hzoblique(1,2,3)
198.7 Hzoblique(6,4,1)
199.9 Hzoblique(2,5,2)

Questions about 19x23 rooms

Is a 19 by 23 ft room good for a music room or home theater?
Yes: 437 sq ft suits a dedicated home theater or media room nicely, and a modal score of 75/100 means this room's shape is doing most of the work for you already.
What is the best corner for bass traps in a 19x23 room?
Start in the four floor-to-ceiling corners; every mode in this room peaks there. The 122.3 Hz mode itself would need about 2.3 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 122.3 Hz.
What size subwoofer does a 19x23 room need?
Subwoofer size is less about this room's 437 sq ft and more about the output headroom you want; room size mainly changes where the 138 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 23 ft room?
Here it comes down to this: two of its dimensions reinforce the same note near 122.3 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 19x23 room?
Corner bass traps come first, as thick as you can fit (6 to 12 in) plus a membrane trap tuned near 122.3 Hz, since that note's own quarter wavelength (about 2.3 ft) is too deep for any panel. After that, reposition your seat near 8.7 ft from the front wall and verify with REW below 120 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.