How Long Is a 291 Hz Wavelength?
A 291 Hz sound wave has a wavelength of 1.18 meters, 117.94 cm, 3.87 feet (3 feet and 10.43 inches) or 46.43 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 = 291 Hz
λ
of 1.18 meters, or 3.87 feet.
291 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 291 Hz sound wave will vary according to temperature:
Temp (°C) | Temp (°F) | 291 Hz wavelength (m) | 291 Hz wavelength (ft) |
---|---|---|---|
-40 | -40 | 1.0518 | 3.4509 |
-35 | -31 | 1.0630 | 3.4877 |
-30 | -22 | 1.0742 | 3.5241 |
-25 | -13 | 1.0851 | 3.5602 |
-20 | -4 | 1.0960 | 3.5959 |
-15 | 5 | 1.1068 | 3.6312 |
-10 | 14 | 1.1175 | 3.6662 |
-5 | 23 | 1.1280 | 3.7009 |
0 | 32 | 1.1385 | 3.7352 |
5 | 41 | 1.1489 | 3.7692 |
10 | 50 | 1.1591 | 3.8030 |
15 | 59 | 1.1693 | 3.8364 |
20 | 68 | 1.1794 | 3.8695 |
25 | 77 | 1.1894 | 3.9024 |
30 | 86 | 1.1994 | 3.9350 |
35 | 95 | 1.2092 | 3.9673 |
40 | 104 | 1.2190 | 3.9993 |
291 Hz Half Wavelength and Standing Waves
The half wavelength of a 291 Hz sound wave is 0.59 meters, 58.97 cm, 1.93 feet (1 feet and 11.22 inches) or 23.22 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 291 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 291 Hz wavelength = 1.18 meters, or 3.87 feet in air at 20°C (68°F).
291 Hz Standing Waves Distances
n | Distance (m) | Distance (ft) |
---|---|---|
1 | 0.59 | 1.93 |
2 | 1.18 | 3.87 |
3 | 1.77 | 5.80 |
4 | 2.36 | 7.74 |
5 | 2.95 | 9.67 |
6 | 3.54 | 11.61 |
7 | 4.13 | 13.54 |
8 | 4.72 | 15.48 |
9 | 5.31 | 17.41 |
10 | 5.90 | 19.35 |
11 | 6.49 | 21.28 |
12 | 7.08 | 23.22 |
13 | 7.67 | 25.15 |
14 | 8.26 | 27.09 |
15 | 8.85 | 29.02 |
16 | 9.44 | 30.96 |
17 | 10.03 | 32.89 |
18 | 10.61 | 34.83 |
19 | 11.20 | 36.76 |
20 | 11.79 | 38.70 |
21 | 12.38 | 40.63 |
22 | 12.97 | 42.56 |
23 | 13.56 | 44.50 |
24 | 14.15 | 46.43 |
25 | 14.74 | 48.37 |
26 | 15.33 | 50.30 |
Given the relatively large 291 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 291 Hz by trying different speaker positions, listening positions or by placing bass traps. These can absorb frequencies as low as 63 Hz.
How To Convert 291 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 291 Hz wave will ocillate 291 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 = 291 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 291 Hz * 1000
= 3.44 ms.