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Frequency

waves of various frequencies; the lower waves have higher frequencies than those above.
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Sine waves of various frequencies; the lower waves have higher frequencies than those above.

Frequency is the measurement of the number of times that a repeated event occurs per unit time. To calculate the frequency, one fixes a time interval, counts the number of occurrences of the event within that interval, and then divides this count by the length of the time interval.

In SI units, the result is measured in hertz (Hz) after the German physicist, Heinrich Rudolf Hertz. 1 Hz means that an event repeats once per second. Other units that have been used to measure frequency include: cycles per second, revolutions per minute (rpm). Heart rate is measured in beats per minute.

An alternative method to calculate frequency is to measure the time between two consecutive occurrences of the event (the period) and then compute the frequency as the reciprocal of this time:

f = \frac{1}{T}

where T is the period.

Frequency of waves

Measuring the frequency of sound, electromagnetic waves (such as radio or light), electrical signals, or other waves, the frequency in hertz is the number of cycles of the repetitive waveform per second. If the wave is a sound, frequency is what characterizes its pitch

Frequency has an inverse relationship to the concept of wavelength. The frequency f is equal to the speed v of the wave divided by the wavelength λ (lambda) of the wave:

f = \frac{v}{\lambda}

In the special case of electromagnetic waves moving through a vacuum, then v = c, where c is the speed of light in a vacuum, and this expression becomes:

f = \frac{c}{\lambda}

NOTE: When waves travel from one medium to another, their frequency remains more or less the same - only their wavelength changes.

Examples

  • The frequency of the standard pitch tone A above middle C is nowadays set at 440 Hz that is 440 cycles per second (or slightly higher) and known as concert pitch, after which an orchestra is tuned.
See also: cent (music), pitch, music note, tuning, virtual piano.
 
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