12,850 Hz Wavelength

How Long Is a 12850 Hz Wavelength?

A 12850 Hz sound wave has a wavelength of 0.03 meters, 2.67 cm, 0.09 feet (0 feet and 1.05 inches) or 1.05 inches when traveling in air at 20°C (68°F).

The formula for the wavelenght is λ = c/f where:

  • c is the celerity (speed) of sound = 343.21 m/s or 1126.03 ft/s in air at 20°C (68°F).
  • f is the frequency = 12850 Hz
which gives a wavelength λ of 0.03 meters, or 0.09 feet.

12850 Hz Wavelength Depending on Temperature

The speed of sound in air depends on temperature. Here is how the wavelenght of a 12850 Hz sound wave will vary according to temperature:

Temp (°C) Temp (°F) 12850 Hz wavelength (cm)12850 Hz wavelength (in)
-40-402.38200.9378
-35-312.40740.9478
-30-222.43250.9577
-25-132.45740.9675
-20-42.48200.9772
-1552.50640.9868
-10142.53060.9963
-5232.55451.0057
0322.57821.0150
5412.60171.0243
10502.62501.0335
15592.64811.0425
20682.67091.0515
25772.69361.0605
30862.71611.0693
35952.73841.0781
401042.76051.0868

12850 Hz Half Wavelength and Standing Waves

The half wavelength of a 12850 Hz sound wave is 0.01 meters, 1.34 cm, 0.04 feet (0 feet and 0.53 inches) or 0.53 inches when travelling in air at 20°C (68°F).

Modes (or standing waves) will occur at 12850 Hz in rooms where two opposing walls (axial mode), edges (tangential mode) or corners (oblique mode) are spaced by a distance d = nλ/2 where:

  • n is a natural (positive integer greater than or equal to 1)
  • λ is the 12850 Hz wavelength = 0.03 meters, or 0.09 feet in air at 20°C (68°F).

12850 Hz Standing Waves Distances

n Distance (m) Distance (ft)
10.010.04
20.030.09
30.040.13
40.050.18
50.070.22

We typically don't treat rooms for standing waves above 300 Hz.

Given the relatively small 12850 Hz half wavelength, you can treat your room by using thick acoustic foam. This will absorb frequencies as low as 250 Hz, and all the way up to 20,000 Hz.

How To Convert 12850 Hz To ms

A Hz (Hertz) is a cycle (or period) per second.

Because a 12850 Hz wave will ocillate 12850 times per second, we can find the time of a single cycle (or period) with the formula p = 1/f where:

  • f is the frequency of the wave = 12850 Hz

The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:

1 / 12850 Hz * 1000 = 0.08 ms.