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Studio Room Modes Calculator

Work out studio room modes instantly with clear inputs, formula shown and shareable results.

About Studio Room Modes Calculator

The first axial mode in each dimension is the speed of sound divided by twice that dimension, and the Schroeder frequency, 2000 times the square root of RT60 over volume, marks where modal behaviour gives way to diffuse. Below the Schroeder frequency the room, not the speakers, dominates what you hear, which is why bass treatment matters far more than anything above it.

Formulas

Axial mode

f = speed of sound / (2 x room dimension), taking 343 m/s

Schroeder frequency

f = 2000 x sqrt(RT60 / room volume)

Worked example

With the default values below, Studio Room Modes Calculator returns First axial mode along the length of 28.58. Change any input above and every figure here is recalculated in your browser.

Inputs used

Room lengthminimum 0.5 m
6 m
Room widthminimum 0.5 m
4 m
Room heightminimum 0.5 m
2.7 m
Reverberation timeminimum 0.01 s
0.4 s

Results

First axial mode along the length
28.58 Hz
First axial mode across the width
42.88 Hz
First axial mode floor to ceiling
63.52 Hz
Schroeder frequency
157.13 Hz

Step by step

  1. 1Values used
  2. 2Axial mode
  3. 3Schroeder frequency
  4. 4First axial mode along the length= 28.58 Hz
  5. 5First axial mode across the width= 42.88 Hz
  6. 6First axial mode floor to ceiling= 63.52 Hz
  7. 7Schroeder frequency= 157.13 Hz

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is the Studio Room Modes figure worked out?

f = speed of sound / (2 x room dimension), taking 343 m/s. The first axial mode in each dimension is the speed of sound divided by twice that dimension, and the Schroeder frequency, 2000 times the square root of RT60 over volume, marks where modal behaviour gives way to diffuse.

Why does this matter?

Below the Schroeder frequency the room, not the speakers, dominates what you hear, which is why bass treatment matters far more than anything above it.

What do I need to enter?

Enter room length, room width, room height, reverberation time. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.

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