Room modes, solved

Every standing wave a rectangular room supports, worked out for 653 real room sizes. Enter your dimensions below — each page is solved from geometry alone, nothing fetched, nothing estimated.

Interactive tool →Acoustic calculators

Find your room

Whole feet, interior surface to interior surface. Anything off the grid resolves to the nearest solved size — the match is always named, never silently substituted.

Width ftLength ft

Ceiling ft

The set stops where the ceiling would be taller than the room is narrow.

Your room

12 × 14 × 8 ft

Lowest: —
Worst gap: —
Bolt: —

Open this room →

The proportion map

Every solved room at the selected ceiling height, placed by its proportions. The shaded region is the Bolt area (Bolt, 1946) — where low-frequency modes distribute comparatively evenly.428 of the 653 sizes land inside it. Pick any point to open that room.

Inside BoltOutsideYour room

Width is the smaller floor dimension by convention, so every room sits on or below the diagonal — a 14 × 12 room and a 12 × 14 room are the same room and share one page.

Best proportions in the set

Rooms inside the Bolt area, ranked by the narrowest gap between adjacent axial modes — the measure of how evenly the low end is supported. Computed across all 653 sizes, not picked by hand.

Every solved size

All 653 pages, grouped by ceiling height. Open a group to browse it directly.

7 ft ceiling153 sizes

8×8
8×9
8×10
8×11
8×12
8×13
8×14
8×15
8×16
8×17
8×18
8×19
8×20
8×21
8×22
8×23
8×24
9×9
9×10
9×11
9×12
9×13
9×14
9×15
9×16
9×17
9×18
9×19
9×20
9×21
9×22
9×23
9×24
10×10
10×11
10×12
10×13
10×14
10×15
10×16
10×17
10×18
10×19
10×20
10×21
10×22
10×23
10×24
11×11
11×12
11×13
11×14
11×15
11×16
11×17
11×18
11×19
11×20
11×21
11×22
11×23
11×24
12×12
12×13
12×14
12×15
12×16
12×17
12×18
12×19
12×20
12×21
12×22
12×23
12×24
13×13
13×14
13×15
13×16
13×17
13×18
13×19
13×20
13×21
13×22
13×23
13×24
14×14
14×15
14×16
14×17
14×18
14×19
14×20
14×21
14×22
14×23
14×24
15×15
15×16
15×17
15×18
15×19
15×20
15×21
15×22
15×23
15×24
16×16
16×17
16×18
16×19
16×20
16×21
16×22
16×23
16×24
17×17
17×18
17×19
17×20
17×21
17×22
17×23
17×24
18×18
18×19
18×20
18×21
18×22
18×23
18×24
19×19
19×20
19×21
19×22
19×23
19×24
20×20
20×21
20×22
20×23
20×24
21×21
21×22
21×23
21×24
22×22
22×23
22×24
23×23
23×24
24×24

8 ft ceiling153 sizes

8×8
8×9
8×10
8×11
8×12
8×13
8×14
8×15
8×16
8×17
8×18
8×19
8×20
8×21
8×22
8×23
8×24
9×9
9×10
9×11
9×12
9×13
9×14
9×15
9×16
9×17
9×18
9×19
9×20
9×21
9×22
9×23
9×24
10×10
10×11
10×12
10×13
10×14
10×15
10×16
10×17
10×18
10×19
10×20
10×21
10×22
10×23
10×24
11×11
11×12
11×13
11×14
11×15
11×16
11×17
11×18
11×19
11×20
11×21
11×22
11×23
11×24
12×12
12×13
12×14
12×15
12×16
12×17
12×18
12×19
12×20
12×21
12×22
12×23
12×24
13×13
13×14
13×15
13×16
13×17
13×18
13×19
13×20
13×21
13×22
13×23
13×24
14×14
14×15
14×16
14×17
14×18
14×19
14×20
14×21
14×22
14×23
14×24
15×15
15×16
15×17
15×18
15×19
15×20
15×21
15×22
15×23
15×24
16×16
16×17
16×18
16×19
16×20
16×21
16×22
16×23
16×24
17×17
17×18
17×19
17×20
17×21
17×22
17×23
17×24
18×18
18×19
18×20
18×21
18×22
18×23
18×24
19×19
19×20
19×21
19×22
19×23
19×24
20×20
20×21
20×22
20×23
20×24
21×21
21×22
21×23
21×24
22×22
22×23
22×24
23×23
23×24
24×24

9 ft ceiling136 sizes

10 ft ceiling120 sizes

12 ft ceiling91 sizes