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Studio Acoustic Calculator

Calculate room acoustic modes and standing wave frequencies from room dimensions. Identify problematic bass frequencies for studio treatment.

Use this result well

Inputs that matter
Room Length, Room Width, Room Height
Output to expect
Studio Room Modes
  • Check the units and required inputs before comparing results.
  • Keep the assumptions with a copied result so you can reproduce the calculation later.
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Reference & details

How it works

Axial Mode Frequency

c = speed of sound (1130 ft/s or 343 m/s). i, j, k are mode numbers (0 or integer). Axial modes: one dimension active (e.g., i=1, j=0, k=0).

f = (c / 2) × √(i/Lx² + j/Ly² + k/Lz²)

First Axial Modes

Simplest modes along each axis. 15 ft length → 1130/(2×15) = 37.7 Hz first axial length mode.

f_L = c / (2L) for each dimension

Modal Density

Below Schroeder frequency (~100–200 Hz depending on room), modes are sparse and problematic. Above it, modes overlap sufficiently for smooth response.

Higher modes accumulate above Schroeder frequency

Updated: July 2026

Example Scenarios

First modes: 37.7 Hz (length), 37.7 Hz (width), 70.6 Hz (height). Coincident 37.7 Hz modes on two axes — priority bass trap placement.

Room width 9.4 ft creates axial width mode at 60 Hz — explains boomy low-mid on monitors. Target with tuned bass trap at that dimension.

Calculate modes for proposed dimensions before construction. Avoid cubic ratios (equal dimensions) and simple integer ratios that stack modes.

FAQ

Standing waves at frequencies where room dimensions equal half-wavelength multiples. Cause bass buildup and cancellation at specific frequencies and locations.

Longest dimension determines lowest modal frequency. All three dimensions contribute. Smallest dimension often creates highest-frequency problematic modes.

Bass traps at room corners (pressure maxima for axial modes). Target specific frequencies with tuned panel traps or diaphragmatic absorbers.

Avoid 1:1:1 (cube) and simple ratios like 1:2:3. Ratios like 1:1.14:1.39 (Bolt area) distribute modes evenly. Use mode calculator to verify before building.

Room correction EQ (Sonarworks, REW) helps above Schroeder frequency. Below ~100 Hz, physical treatment is essential — EQ cannot fix cancellation nulls.

About Studio Acoustic Calculator

Rectangular rooms create standing waves (modes) at predictable frequencies based on dimensions. Enter room length, width, and height to calculate axial, tangential, and oblique mode frequencies and identify problematic bass buildup zones.