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Wavelength Calculator

Convert frequency to wavelength, half-wave and quarter-wave distances for any air temperature.

Inputs

Notes & bands
Hz
°C

Speed of sound: 343.4 m/s (768 mph)

Wavelength λ
8.59m
28.2 ft
Half wave λ/2
4.29m
14.1 ft
Quarter wave λ/4
2.15m
7.0 ft
Period
25.00ms

The wave (2½ wavelengths)

λ = 8.59 mλ/4

How long is that?

λ
8.6 m
Person
1.8 m
Sedan
4.7 m
Room
5 m
Bus
12 m

That’s 1.83 sedan-lengths, or 4.8 people standing in a row.

How it works

A sound wave is a repeating pattern of high and low air pressure. The wavelength is the distance between two successive pressure peaks. It’s the speed of sound divided by the frequency.

λ = c / f
T = 1 / f
c ≈ 331.3 + 0.606 · T(°C)    (≈ 343 m/s at 20 °C)

Bass waves are huge. A 40 Hz note is 8.6 m (28 ft) long, longer than most rooms and every car. That’s why bass is non-directional (you can’t tell where a sub is), why room acoustics dominate low-frequency performance, and why you need so much volume displaced to create it.

Fractions of a wavelength matter for design: a half-wave is the distance between standing-wave nodes (room mode spacing), a quarter-wave is the length at which a closed pipe or boundary resonates (L = λ/4) and is also where reflections from a nearby wall first cancel the direct sound. Sound is slightly faster in warm air: 1 m/s per 1.65 °C.

Wavelength
8.59m
λ/4
215cm