Room Acoustics: Reverberation Time Calculator

simulator intermediate ~10 min
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RT60 = 1.55 s — moderate reverberation

A 12×8×4m room (384 m³) with average absorption coefficient of 0.20 has a reverberation time of approximately 1.55 seconds — suitable for chamber music or multipurpose use.

Formula

RT60 = 0.161 × V / A (Sabine equation, metric)
A = Σ (αᵢ × Sᵢ) total absorption in sabins
Critical distance Dc = 0.057 × √(V / RT60)

The Science of How Rooms Sound

Every room has a voice. A cathedral wraps sound in seconds of echoing reverberation; a recording studio absorbs it almost instantly. Architectural acoustics — the science founded by Wallace Clement Sabine in 1898 — explains why. Sabine discovered that reverberation time depends on just two things: the volume of the room and how much sound its surfaces absorb. His equation, RT60 = 0.161V/A, remains the foundation of acoustic design today.

The Sabine Equation

RT60 measures how many seconds it takes for sound to drop by 60 decibels — roughly from conversational volume to silence. The formula is elegantly simple: multiply room volume (m³) by 0.161, then divide by total absorption (surface area × absorption coefficient). Hard surfaces like concrete (α ≈ 0.02) reflect almost all sound; soft materials like heavy curtains (α ≈ 0.55) absorb over half. The simulation lets you adjust materials and see RT60 change instantly.

Designing for Purpose

The ideal reverberation time depends entirely on what happens in the room. Speech intelligibility requires short RT60 — classrooms should aim for 0.6 to 1.0 seconds so that consonants don't blur into reverberant mush. Orchestral music needs longer decay — 1.8 to 2.2 seconds — to blend instruments and create warmth. The great concert halls of the world (Vienna Musikverein, Boston Symphony Hall) were designed to hit these targets precisely.

Beyond Sabine: Modern Acoustic Design

The Sabine equation assumes sound energy is evenly distributed — a simplification that fails in long, narrow rooms or spaces with uneven absorption. Modern acousticians use ray-tracing software to simulate thousands of sound reflections, predicting exactly how a room will sound before it is built. Yet the fundamentals remain: volume, surface area, and absorption. This simulator gives you the tools Sabine used to revolutionize how we design spaces for the human ear.

FAQ

What is RT60 reverberation time?

RT60 is the time it takes for sound to decay by 60 decibels after the source stops — essentially, how long it takes a room to go from loud to silent. A concert hall might have RT60 of 2 seconds; a recording studio, 0.3 seconds. It's the single most important measure of room acoustics.

What is the Sabine equation?

The Sabine equation, RT60 = 0.161 × V / A, calculates reverberation time from room volume (V in m³) and total absorption (A in m² sabins). Developed by Wallace Clement Sabine in 1898, it was the first scientific approach to architectural acoustics.

What is the ideal reverberation time for a room?

It depends on the room's purpose. Speech requires short RT60 (0.6–1.0s) for clarity. Chamber music sounds best at 1.2–1.6s. Orchestral halls need 1.8–2.2s for warmth and fullness. Cathedrals at 4–8s create the majestic wash of sound associated with sacred music.

How do you reduce reverberation in a room?

Add absorptive materials: acoustic panels, carpets, curtains, upholstered furniture, and acoustic ceiling tiles. Each material has an absorption coefficient from 0 (perfectly reflective) to 1 (perfectly absorptive). Strategic placement on parallel surfaces prevents flutter echoes.

Sources

Embed

<iframe src="https://homo-deus.com/lab/architecture/acoustic-design/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub