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Bass Reflex Port Length Calculator

Length of the port tube that tunes a bass-reflex loudspeaker box to a chosen frequency, from the box volume and the port diameter.

Results

Port length to cut 9.2 cm
Acoustic (effective) length 14.3 cm
Total port area 38.5 cm²
How it changes
Port length to cutTuning frequency 28 – 60. Port length to cut: 24.1329 → 1.2475Port length to cut051015202530405060Tuning frequency (Hz)

The dashed line marks the value you entered.

What this tool does

A ported box is a Helmholtz resonator: the air in the port bounces on the springy air in the box, and its tuning depends on the box volume and the port's area and length. The air just beyond each end of the tube also moves, so the acoustic length is longer than the tube — about 0.73 diameters for one flanged end and one free end — and that is subtracted to get the length to cut. Narrow ports make the air rush and 'chuff' at high volume, which is why wider ports, needing longer tubes, are preferred; the box volume should be net of the driver, bracing and the port itself.

Formula

f_b = (c ÷ 2π) × √(A ÷ (V × L_eff)) ⇒ L_eff = c² A ÷ (4π² f_b² V) · cut length = L_eff − 0.732 × D

Variables

SymbolMeaningUnit
vbBox volumeL
fbTuning frequencyHz
dvPort inside diametercm
npNumber of ports—
csSpeed of soundm/s
LPort length to cutcm
LEAcoustic (effective) lengthcm
APTotal port areacm²

Worked example

  • Box volume50 L
  • Tuning frequency40 Hz
  • Port inside diameter7 cm
  • Number of ports1
  • Speed of sound343 m/s
  • Port length to cut9.2 cm
  • Acoustic (effective) length14.3 cm
  • Total port area38.5 cm²

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • Coverage and consumption figures vary between products. Take the values from the manufacturer's datasheet for the product you are actually using.