Auditorium Acoustic Design Calculator
Calculate RT60 reverberation time, room modes, and clarity using the Sabine equation for auditorium design.
About this calculator
This calculator estimates reverberation time (RT60) for an auditorium using the classic Sabine equation, RT60 = 0.161 × V / A, where V is room volume and A is total sound absorption in sabins. Absorption comes from two sources it adds together: the room's surfaces (total surface area times your chosen average absorption coefficient) and the seated audience, estimated at a flat 0.5 sabins per person — audiences are significant absorbers, so a full house sounds noticeably drier than an empty hall with the same walls. The result is compared informally against the accepted ranges for different uses: roughly 0.8–1.2 seconds for speech intelligibility, 1.5–2.5 seconds for orchestral music, and up to 4 seconds for pipe organ, though the calculator itself only returns the computed RT60 rather than auto-classifying it. Volume per seat (ideally 6–10 m³) is reported because it's a quick proxy for whether the room has enough air volume to develop natural reverberation without feeling cramped.
The calculator also derives the first axial room mode for each dimension — the lowest resonant frequency along that axis, from speed of sound divided by twice the dimension — which flags problematic bass buildup in long, narrow, or low rooms. A speech clarity index (C80) rounds out the picture, estimated directly from RT60 rather than a full impulse-response measurement. Because Sabine assumes uniformly distributed absorption and works best for reasonably live rooms, treat these numbers as first-pass design estimates: real halls with highly uneven absorption (a heavily draped stage vs. a hard rear wall, for instance) will diverge from the Sabine prediction, and detailed acoustic modeling or physical testing should follow before construction.
Inputs
Results
RT60 (seconds)
1.06
How to Use This Calculator
- Enter Length (m), Width (m), and Height (m).
- Set Seating capacity and Avg absorption coefficient.
- Review the RT60 (seconds) result.
- Use Volume (m³) and Volume per seat (m³) to inform your decision.
How the result changes with Avg absorption coefficient
| Avg absorption coefficient | RT60 (seconds) |
|---|---|
| 0.15 | 1.67 |
| 0.23 | 1.3 |
| 0.45 | 0.78 |
| 0.75 | 0.51 |
What each input means
- Length (m)
- Room length in meters.
- Width (m)
- Room width in meters.
- Height (m)
- Ceiling height in meters.
- Seating capacity
- Number of seats.
- Avg absorption coefficient
- Average absorption of walls/ceiling (0.1 = reflective, 0.7 = absorptive).
What each result means
- RT60 (seconds)
- Reverberation time (speech: 0.8-1.2s, music: 1.5-2.5s).
- Volume (m³)
- Room volume.
- Volume per seat (m³)
- Ideal: 6-10 m³ per seat.
- Total absorption (sabins)
- Combined surface and audience absorption.
- First axial mode (Hz)
- Lowest resonant frequency along length.
- Clarity C80 (dB)
- Speech clarity index (higher = clearer).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersLength (m) = 30, Width (m) = 20, Height (m) = 10, Seating capacity = 500 = 5 input(s) provided
- Calculate RT60RT601.06 = 1.06
- Calculate VolumeVolume = lengthM * widthM * heightM6000 = 6000
- Calculate Volume per seatVolume per seat12 = 12
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does seating capacity affect the RT60 result, and not just the room's dimensions?
The calculator adds audience absorption (0.5 sabins per seated person) directly to the surface absorption from the walls, ceiling, and floor before computing RT60. Because people are relatively strong sound absorbers compared to hard architectural surfaces, a hall filled with its full seating capacity will have a noticeably shorter, drier RT60 than the same empty room — this calculator's number reflects a seated, occupied house.
What is the 'first axial mode' output telling me?
It's the lowest resonant frequency that can build up along a given room dimension, calculated as the speed of sound divided by twice that dimension (length, width, or height). Rooms with long, narrow, or low proportions concentrate this resonance at an audible bass frequency, which can produce uneven low-end response at certain seats — architects use this figure to catch problematic room proportions early.
What RT60 should I be aiming for given my auditorium's primary use?
The accepted design ranges are roughly 0.8–1.2 seconds for speech intelligibility, 1.5–2.5 seconds for orchestral or choral music, and up to 4 seconds for pipe organ, though the calculator itself only reports the computed RT60 rather than classifying it against these bands for you. Compare your calculated value against whichever range matches your hall's primary use and adjust the average absorption coefficient input accordingly.
What does the Clarity C80 number mean, and how is it different from RT60?
C80 estimates how clearly early sound arrives relative to reverberant decay, expressed in decibels and derived here directly from the computed RT60 rather than a true impulse-response measurement. A higher C80 indicates crisper, more intelligible sound — useful for gauging speech clarity — while RT60 alone only describes how long sound takes to decay, without distinguishing whether that decay muddies articulation.
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