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RT60 Calculator — Sabine & Eyring

Enter your room dimensions and average absorption coefficient. Get Sabine and Eyring reverberation time side by side, plus the Schroeder frequency that tells you which half of the spectrum the number actually applies to.

Independent research instrument — not claimed as MakerPortal shipped product code. Methods, equations, assumptions, and limitations are disclosed so you can inspect what the page does and does not establish.

Reverberation time

Room & absorption

rectangular room, diffuse field
Temp °C
Volume

60.0 m³

Surface area

94.0 m²

Total absorption

14.1 sabins

Sabine RT60

0.69 s

Eyring RT60

0.63 s

Schroeder freq

205 Hz

Critical distance

0.57 m

α is the average absorption coefficient across every surface, area-weighted — not the coefficient of one material. A room with 94 m² of surface of which 10 m² is 0.8-rated foam and the rest is 0.06 plaster has α = (10·0.8 + 84·0.06) / 94 = 0.14, not 0.8. Overstating α is the single most common way a predicted RT60 comes out far below the measured one.

Sabine, Eyring, and where they part company

Sabine (1900)

Wallace Sabine derived this empirically at Harvard, moving seat cushions into a lecture hall until he had a curve. A is total absorption in metric sabins — the sum of every surface area times its coefficient.

T60=0.161VAA=SαˉT_{60} = \frac{0.161\,V}{A} \qquad A = S\bar{\alpha}

Note what happens as α approaches 1: A approaches S, and T₀ approaches 0.161V/S — a finite, non-zero number. Sabine says a perfectly absorptive room still reverberates. It does not. That is the formula's known failure, and it is why Eyring exists.

Eyring (1930)

Eyring counted reflections properly. Each one multiplies the remaining energy by (1 − α), so the decay is governed by the logarithm of that survival factor rather than by α itself.

T60=0.161VSln(1αˉ)T_{60} = \frac{0.161\,V}{-S\ln(1-\bar{\alpha})}

As α approaches 1, ln(1 − α) diverges to negative infinity and T₀ collapses to zero — the anechoic limit, correctly. For small α, −ln(1 − α) ≈ α and Eyring reduces to Sabine, which is why the two agree in ordinary rooms.

Sabine and Eyring RT60 for a 60 m³ room as average absorption rises
Average αSabineEyringDisagreement

Computed live for the room dimensions you entered above, by the same two functions the calculator uses.

What to aim for

Mid-band targets (500 Hz – 1 kHz) for a furnished room in use. Bass will always be longer; a low-frequency RT60 of roughly 1.2 to 1.5 times the mid-band figure is normal and generally accepted.

RoomTarget RT60Why
Recording control room0.20 – 0.30 sShort enough that the room does not colour a monitoring decision.
Home studio / voiceover0.25 – 0.40 sDry, but not so dead that talking in it feels wrong.
Live tracking room0.40 – 0.70 sDeliberate room sound — you are recording the space on purpose.
Classroom / meeting room0.40 – 0.60 sSpeech intelligibility. Above ~0.8 s consonants smear into each other.
Cinema / home theatre0.30 – 0.50 sDialogue clarity plus a stable surround image.
Concert hall (symphonic)1.80 – 2.20 sEnvelopment and blend. The one case where long is the goal.

Predicting it is not measuring it

1. Excite the room

A balloon pop or starter pistol gives you an impulse directly. A swept sine through a monitor, deconvolved, gives a far better signal-to-noise ratio and is what any modern measurement package does. You need at least 45 dB of headroom above the room's noise floor to see a 60 dB decay at all.

2. Fit the decay, don't chase 60 dB

Almost nobody measures a true 60 dB decay — the noise floor arrives first. The standard practice is to fit a line over the 5 to 25 dB region (T20) or 5 to 35 dB (T30) and extrapolate. ISO 3382 defines both. If T20 and T30 disagree by more than about 10 percent, the decay is not a single straight line and the room has two coupled spaces or a strong flutter.

3. Average positions

One microphone position measures one point in a standing-wave field, not the room. Take at least three source positions and three to six microphone positions and average the decay curves. The spread between them is itself information: a wide spread means the field is not diffuse and the formulas above were never going to apply.

Measuring it for real

A calibrated omnidirectional measurement microphone and an interface with clean gain are the whole shopping list. Everything else is software.

Frequently asked questions

What is RT60?

RT60 is the time it takes for sound in a room to decay by 60 decibels after the source stops — a drop to one millionth of the original sound intensity. It is the single most-cited number in room acoustics because it captures, in one figure, how long the room keeps talking after you stop. It is frequency dependent: nearly every real room has a longer RT60 at 125 Hz than at 2 kHz, so a single quoted value is conventionally the mid-band average around 500 Hz to 1 kHz.

Should I use the Sabine or the Eyring formula?

Below an average absorption coefficient of about 0.2 — which covers most furnished rooms — they agree closely and either is fine. Above roughly 0.3, use Eyring: Sabine systematically overestimates because it assumes sound loses only a fraction of its energy per reflection, which stops being true once surfaces are genuinely absorptive. The clearest way to see the difference is to set ᾱ to 0.99 in the calculator above. Eyring collapses towards zero, which is what an anechoic chamber actually does. Sabine still reports a substantial reverberation time for a room that has essentially none.

Why does my measured RT60 not match the calculated value?

Because both formulas assume a diffuse field — sound energy uniformly distributed and arriving from all directions equally. Real rooms violate that in three common ways: absorption concentrated on one surface (a carpeted floor with bare walls), a room shape far from cubic, and non-uniform coupling to adjacent spaces. Rectangular rooms with absorption spread over several surfaces typically land within 10 to 20 percent. A room with all its absorption on one plane can be off by a factor of two, and no statistical formula will fix that — measure it.

What is the Schroeder frequency and why does the calculator show it?

The Schroeder frequency divides your room into two acoustic regimes, and it is derived from RT60 and volume, so this calculator already has everything it needs. Below it, room modes are sparse and separately audible as discrete booms and nulls — that is where you need modal treatment such as bass traps and placement changes. Above it, modes overlap densely enough to behave statistically, and that is the region where RT60 is a meaningful number at all and where broadband absorption works. Applying an RT60 target below the Schroeder frequency is applying a statistic to a region that is not statistical.

What is critical distance?

Critical distance is where the direct sound from a source and the reverberant field of the room are equally loud. Closer than that, you mostly hear the source; further away, you mostly hear the room. It is why near-field monitoring works and why a microphone placed across a live room sounds washed out. It depends on the directivity factor Q of the source as well as the room, which is why the calculator takes Q as an input — a horn-loaded source with Q of 5 pushes its critical distance more than twice as far as an omnidirectional one in the same room.

Does the calculator work in feet?

The inputs are metric — metres and cubic metres — because the 0.161 constant in both formulas is metric. To convert, multiply feet by 0.3048. A 16 by 13 by 10 foot room is 4.88 by 3.96 by 3.05 metres. If you prefer to work in imperial throughout, the equivalent Sabine constant is 0.049 with volume in cubic feet and absorption in square-foot sabins.

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