Room Modes in a 13x28 ft Room with a 10 ft Ceiling

Mode spectrum

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

What this means for your room

• The lowest room mode is 20.1 Hz, set by the 28 ft length.
• Your 13 ft width and 10 ft ceiling height both resonate near 168.8 Hz, so bass at that note will be much louder than its neighbours.
• Between 20.1 Hz and 40.2 Hz there are no modes at all, so notes in that 20.1 Hz gap will sound thinner than the bass around them.
• Mode density drops in the 25 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 : 1.30 : 2.80) fall outside the Bolt area because the room is long and narrow for its height, so modes bunch up along the length.
• Below about 125 Hz (the Schroeder frequency) individual modes shape the sound; above it, reflections and reverb matter more.

Your 13 ft width and 10 ft ceiling share a mode near 168.8 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 : 1.30 : 2.80) is outside the Bolt area: the room is long and narrow for its height, which bunches modes up along the length. 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. Full absorption at 168.8 Hz would take about 1.7 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. Move your listening position off-center along the 28 ft length; roughly 10.6 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 125 Hz (this room's Schroeder frequency); that is where individual modes, not general reverb, are running the show.

Every mode below 200 Hz

Below are all 129 modes this room produces under 200 Hz: 16 axial, 59 tangential, 54 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.

Questions about 13x28 rooms

Will a 13x28 room work for a home theater?

This size suits a dedicated home theater or media room, though the 50/100 modal score signals some work ahead, mainly because two of its dimensions reinforce the same note near 168.8 Hz.

Where should I put bass traps in a 13x28 room?

The four vertical corners first. Full absorption at 168.8 Hz would take roughly 1.7 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 13 by 28 ft room?

There is no fixed sub size tied to 364 sq ft; that number mostly sets this room's mode frequencies (129 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 13x28 room have one loud bass note?

The short answer for this room: two of its dimensions reinforce the same note near 168.8 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 13x28 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 168.8 Hz, since that note's own quarter wavelength (about 1.7 ft) is too deep for any panel. From there, move your seat to about 10.6 ft from the front wall, then measure with REW below 125 Hz to see what still needs work.

Similar room sizes

• 12x28 ft, 10 ft ceiling
• 14x28 ft, 10 ft ceiling
• 13x27 ft, 10 ft ceiling
• 13x28 ft, 8 ft ceiling
• 13x28 ft, 9 ft ceiling