The tuning frequency is where a ported box plays loudest for its size. Port area and length set it. Here is how it works, with a calculator for round ports.
The air in a port and the air in the box form a resonator, like blowing across a bottle. At the tuning frequency (Fb) the port does much of the work, the cone moves least, and output for a given power is highest. Below Fb the port no longer controls the cone, which is why ported systems need a subsonic filter set a few hertz under tuning.
Lower tuning (around 30 to 34 Hz) gives deeper, more even bass for daily listening. Higher tuning (into the high 30s and 40s) trades the lowest notes for more output in the upper bass and is common in loud, competition-style builds. The subwoofer’s spec sheet usually gives a recommended range, and the vehicle changes the result: cabin gain lifts the low end in most cars and trucks.
For a given box volume, a larger port area needs a longer port to keep the same tuning. Too little port area makes the air move too fast and the port can whistle or chuff at high volume. Builders often aim for around 12 to 16 square inches of port per cubic foot of net volume for ported subwoofer boxes, more for high-excursion drivers on a lot of power.
Enter the net volume, tuning and port size.
It uses the standard Helmholtz relation: effective port length = c2 x port area / (4π2 x Fb2 x box volume), with c, the speed of sound, as 13,504 inches per second, and subtracts an end correction of 1.463 times the port radius for a port with one end flush to the baffle. Example: 2.0 cubic feet net, 32 Hz, one 4-inch port gives about 13.5 inches.
Slot ports, where the box walls form part of the port, are calculated differently and the port's own volume has to come out of the net volume. That is part of what we do on a custom build.
Related: sealed vs ported, box volume calculator. Questions: call or text (785) 430-0822.