Ported box calculator

Box volume and tuning that suit your driver, hi-fi or pro, with the port to build, from the simulator's model. See the response against sealed, the cone excursion and the air in the port.

Ported box calculator

Ported box for 12-inch woofer

F3

79 L net · tuned to 30.8 Hz · F10 24.9 Hz

31.3Hz

Port: 1 × Ø 125 mm, 413.0 mm long. A flat alignment.

  • Sealed, 37.6 L
  • This ported box
  • Port air
Driver

12-inch woofer

Example
Fs
31.0 Hz
Qts
0.39
Vas
85 L
Sd
530 cm²
Xmax
12 mm
Re
5.4 Ω

EBP 74 · Works sealed or ported.

Box
Starting points for this driver

The smallest boxes reaching 1.25×, 1× and 0.8× the driver’s resonance, each at its best tuning.

L
Hz

Tuned for the lowest F3 this volume gives without a hump.

Port
mm
port

Cut to 413.0 mm for 30.8 Hz. More area means a longer port.

Drive
W
Hz
F10
24.9 Hz
Port length
413.0 mm
1 × Ø 125 mm
Port air
13.5 m/s
At 100 W
Cone
7.0 mm
Xmax 12.0 mm
Pipe resonance
415 Hz
  • Longer than the box is deep

    At 413.0 mm the port is longer than this box is deep (265 mm inside, as sketched). The side view turns it up through an elbow; a slot along a side panel works too, and Refine the port checks the fit.

How big is that?

79 L net in 18 mm board, the driver and port to scale; the side view shows them in section. The port adds its own volume.

Plan the cabinet

Take it further

Refine the port on its own, look at the air speed in detail, or open the whole design in the simulator.

The model

Tuned by the model, not a table

For any box, the calculator tries tunings in the full 00 Simulator model and keeps the one with the lowest F3 whose bass stays within 0.75 dB of the driver’s passband. The starting points are the smallest boxes that, tuned that way, reach 1.25, 1 and 0.8 times the driver’s resonance, so they suit a hi-fi woofer and a low-Qts pro woofer alike.

Curves are in half space at 1 m with the driver’s losses and typical box losses. Like most box calculators they leave out the voice coil’s inductance, which only trims the top of the range; the simulator includes it. Qtc, Fs and Vas come from the driver’s Bl, moving mass and compliance, the values the model runs on, which a few spec sheets do not quite match.

Design

Reading the chart

The bright curve is your box, the dashed one the same driver sealed at Qtc 0.707. Under it, the cone’s excursion against Xmax, then the air speed in the port against 17 m/s.

Near the tuning the port does the work and the cone barely moves, which is where a ported box gets its output. Below it the cone is on its own, which is what the high-pass is for.

Questions

Ported box questions

How do I work out the size of a ported box?

The calculator starts from the bass you want. Its three starting points are the smallest boxes that reach an F3 of 1.25, 1 and 0.8 times the driver's resonance, each tuned where the simulator's model finds the lowest F3 without a hump. For the example 12-inch driver (Fs 31 Hz, Qts 0.39, Vas 85 L) that gives 50 L at 32.9 Hz, 79 L at 30.8 Hz and 125 L at 25.3 Hz.

What frequency should I tune a ported box to?

Near the driver's Fs for a box that reaches about Fs, lower in a bigger box and higher in a smaller one. Tuned too high for its volume, the bass rises into a hump that sounds boomy; tuned too low, it rolls off early and gently. The calculator shows the best tuning for any volume you type and warns about a hump.

How big should the port be?

Big enough that the air stays under about 17 m/s at full power, where port noise often starts. The calculator sizes the starting port for that at your power, 125 mm for the example at 100 W (peaking at 13.5 m/s), and offers a larger size or more ports when the air runs faster.

Ported or sealed?

A ported box plays lower and louder near its tuning, for a bigger cabinet, a port to build and a high-pass. A sealed box is smaller and rolls off more gently. The example driver reaches an F3 of 31.3 Hz ported in 79 L, against 58.9 Hz sealed in 38 L. The subwoofer box calculator compares both for your driver.

What about the classic formula, Vb = 15 × Qts^2.87 × Vas?

That is the maximally flat alignment, and for a hi-fi woofer the calculator lands close to it: 86 L for the example. For a low-Qts pro woofer it gives a tiny box tuned high (about 16 L for an 18-inch driver with Qts 0.17) that barely plays below 100 Hz. Those drivers are built for bigger boxes tuned lower, with bass that sits a few dB under their passband, which is what the calculator gives them.

How long should the port be?

As long as the tuning needs for the port's area: Fb = c / 2π × √(S / (V × Leff)), where the effective length includes an end correction at each end, so the tube you cut is shorter. The example's 125 mm port is 413 mm long. Twice the area needs roughly twice the length, and a port longer than the box is deep turns through an elbow, which the side view shows.

Does a ported box need a high-pass filter?

Usually. Below its tuning the port stops holding the cone back, so excursion climbs steeply for sound that is barely audible. A high-pass around three quarters of the tuning (23 Hz at 24 dB per octave for the example) keeps the cone inside Xmax. The excursion panel shows the cone with the filter you set.