Room Modes in a 16x23 ft Room with a 9 ft Ceiling

At 16 by 23 ft with a 9 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 24.5 Hz, set by the 23 ft length.

That puts its modal score at 59 out of 100, a rough score, worth planning around. The main thing to plan around: two of its dimensions reinforce the same note near 122.3 Hz.

Lowest mode
24.5 Hz
Modes under 200 Hz
116
Schroeder frequency
131 Hz
Modal score
59/100

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 (23 ft)24.5 Hz48.9 Hz73.4 Hz97.9 Hz
Width (16 ft)35.2 Hz70.3 Hz105.5 Hz140.7 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 16 ft width both resonate near 171.2 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 48.9 Hz and 60.3 Hz there are no modes at all, so notes in that 11.4 Hz gap will sound thinner than the bass around them.
  • Mode density drops in the 31.5 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 : 1.78 : 2.56) fall inside the Bolt area, the range of room ratios that spreads modes most evenly.
  • Below about 131 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 23 ft length and 9 ft ceiling share a mode near 122.3 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.

Height, width and length work out to 1 : 1.78 : 2.56, 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. Start with bass traps in the four floor-to-ceiling corners; every mode in this room peaks there, including the ones set by your ceiling height.
  2. Full absorption at 122.3 Hz would take about 2.3 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. Do not sit dead-center on the 23 ft length. Start near 8.7 ft from the front wall, about 38% of the way back, and adjust from there.
  4. For the subwoofer, try a few spots before settling: a front corner usually gives the most output but also the most uneven bass, while pulling it off the wall or adding a second sub often smooths out peaks like the ones this room has.
  5. After treating, run an REW sweep from the seat. Everything below 131 Hz is where these modes live, so that is the range worth checking before you call the room done.

These numbers assume an empty rectangular 16x23 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

This room has 116 modes below 200 Hz, 16 axial, 54 tangential and 46 oblique. Read the axial rows as the ones you will hear most clearly. Tangential and oblique modes add texture but usually only become audible when they land close to an axial mode.

FrequencyTypeMode (length, width, height)
24.5 Hzaxial(1,0,0)
35.2 Hzaxial(0,1,0)
42.8 Hztangential(1,1,0)
48.9 Hzaxial(2,0,0)
60.3 Hztangential(2,1,0)
62.5 Hzaxial(0,0,1)
67.1 Hztangential(1,0,1)
70.3 Hzaxial(0,2,0)
71.7 Hztangential(0,1,1)
73.4 Hzaxial(3,0,0)
74.5 Hztangential(1,2,0)
75.8 Hzoblique(1,1,1)
79.4 Hztangential(2,0,1)
81.4 Hztangential(3,1,0)
85.7 Hztangential(2,2,0)
86.8 Hzoblique(2,1,1)
94.1 Hztangential(0,2,1)
96.4 Hztangential(3,0,1)
97.2 Hzoblique(1,2,1)
97.9 Hzaxial(4,0,0)
101.7 Hztangential(3,2,0)
102.6 Hzoblique(3,1,1)
104 Hztangential(4,1,0)
105.5 Hzaxial(0,3,0)
106.1 Hzoblique(2,2,1)
108.3 Hztangential(1,3,0)
116.1 Hztangential(4,0,1)
116.3 Hztangential(2,3,0)
119.3 Hzoblique(3,2,1)
120.5 Hztangential(4,2,0)
121.3 Hzoblique(4,1,1)
122.3 Hzaxial(5,0,0)
122.6 Hztangential(0,3,1)
125 Hzaxial(0,0,2)
125 Hzoblique(1,3,1)
127.3 Hztangential(5,1,0)
127.4 Hztangential(1,0,2)
128.5 Hztangential(3,3,0)
129.9 Hztangential(0,1,2)
132 Hzoblique(2,3,1)
132.2 Hzoblique(1,1,2)
134.3 Hztangential(2,0,2)
135.8 Hzoblique(4,2,1)
137.4 Hztangential(5,0,1)
138.8 Hzoblique(2,1,2)
140.7 Hzaxial(0,4,0)
141.1 Hztangential(5,2,0)
141.8 Hzoblique(5,1,1)
142.8 Hztangential(1,4,0)
142.9 Hzoblique(3,3,1)
143.5 Hztangential(0,2,2)
143.9 Hztangential(4,3,0)
145 Hztangential(3,0,2)
145.5 Hzoblique(1,2,2)
146.8 Hzaxial(6,0,0)
148.9 Hztangential(2,4,0)
149.2 Hzoblique(3,1,2)
150.9 Hztangential(6,1,0)
151.6 Hzoblique(2,2,2)
153.9 Hztangential(0,4,1)
154.3 Hzoblique(5,2,1)
155.9 Hzoblique(1,4,1)
156.9 Hzoblique(4,3,1)
158.7 Hztangential(3,4,0)
158.8 Hztangential(4,0,2)
159.5 Hztangential(6,0,1)
161.1 Hzoblique(3,2,2)
161.5 Hztangential(5,3,0)
161.5 Hzoblique(2,4,1)
162.6 Hzoblique(4,1,2)
162.8 Hztangential(6,2,0)
163.4 Hzoblique(6,1,1)
163.6 Hztangential(0,3,2)
165.4 Hzoblique(1,3,2)
170.5 Hzoblique(3,4,1)
170.8 Hzoblique(2,3,2)
171.2 Hzaxial(7,0,0)
171.4 Hztangential(4,4,0)
173.2 Hzoblique(5,3,1)
173.7 Hzoblique(4,2,2)
174.4 Hzoblique(6,2,1)
174.8 Hztangential(7,1,0)
174.9 Hztangential(5,0,2)
175.8 Hzaxial(0,5,0)
177.5 Hztangential(1,5,0)
178.4 Hzoblique(5,1,2)
179.3 Hzoblique(3,3,2)
180.8 Hztangential(6,3,0)
182.3 Hztangential(7,0,1)
182.4 Hzoblique(4,4,1)
182.5 Hztangential(2,5,0)
185.1 Hztangential(7,2,0)
185.7 Hzoblique(7,1,1)
186.4 Hztangential(5,4,0)
186.6 Hztangential(0,5,1)
187.6 Hzaxial(0,0,3)
188.2 Hztangential(0,4,2)
188.2 Hzoblique(1,5,1)
188.5 Hzoblique(5,2,2)
189.1 Hztangential(1,0,3)
189.8 Hzoblique(1,4,2)
190.5 Hztangential(3,5,0)
190.6 Hzoblique(4,3,2)
190.8 Hztangential(0,1,3)
191.3 Hzoblique(6,3,1)
192.4 Hzoblique(1,1,3)
192.8 Hztangential(6,0,2)
192.9 Hzoblique(2,5,1)
193.8 Hztangential(2,0,3)
194.5 Hzoblique(2,4,2)
195.4 Hzoblique(7,2,1)
195.7 Hzaxial(8,0,0)
196 Hzoblique(6,1,2)
196.6 Hzoblique(5,4,1)
197 Hzoblique(2,1,3)
198.8 Hztangential(8,1,0)

Questions about 16x23 rooms

Will a 16x23 room work for a home theater?
This size suits a dedicated home theater or media room, though the 59/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 122.3 Hz.
Where should I put bass traps in a 16x23 room?
The four vertical corners first. Full absorption at 122.3 Hz would take roughly 2.3 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 16 by 23 ft room?
There is no fixed sub size tied to 368 sq ft; that number mostly sets this room's mode frequencies (116 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 16x23 room have one loud bass note?
The short answer for this room: two of its dimensions reinforce the same note near 122.3 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 16x23 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 122.3 Hz, since that note's own quarter wavelength (about 2.3 ft) is too deep for any panel. From there, move your seat to about 8.7 ft from the front wall, then measure with REW below 131 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.