# Audio frequency

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{{short description|Sound whose frequency is audible to the average human}}

{{Sound measurements}}

An '''audio frequency''' or '''audible frequency''' ('''AF''') is a [periodic](/source/periodic_function) [vibration](/source/vibration) whose [frequency](/source/frequency) is [audible to the average human](/source/human_hearing_range). The [SI unit](/source/SI_unit) of frequency is the [hertz](/source/hertz) (Hz). It is the property of [sound](/source/sound) that most determines [pitch](/source/Pitch_(music)).<ref>{{Cite book|last1= Pilhofer |first1=Michael |title=Music Theory for Dummies|url=https://books.google.com/books?id=CxcviUw4KX8C|year=2007|publisher=For Dummies|page=97|isbn=9780470167946 }}</ref>

The generally accepted standard [hearing range](/source/hearing_range) for humans is 20 to 20,000&nbsp;Hz (20 kHz).<ref>{{cite web|title=Hyperphysics|url=http://hyperphysics.phy-astr.gsu.edu/hbase/sound/earsens.html|access-date=19 September 2014}}</ref><ref>{{cite journal|last1=Heffner|first1=Henry|last2=Heffner|first2=Rickye|title=Hearing Ranges of Laboratory Animals|journal= Journal of the American Association for Laboratory Animal Science|date=January 2007|volume=46|issue=1|pages=20–2|pmid=17203911|url=http://www.ingentaconnect.com/content/aalas/jaalas/2007/00000046/00000001/art00003|access-date=19 September 2014}}</ref><ref>{{cite book|last=Rosen|first=Stuart|title=Signals and Systems for Speech and Hearing|date=2011|publisher=BRILL|page=163|edition=2nd|quote=For auditory signals and human listeners, the accepted range is 20Hz to 20kHz, the limits of human hearing}}</ref> In air at [atmospheric pressure](/source/atmospheric_pressure), these represent sound waves with [wavelength](/source/wavelength)s of {{convert|17|m|feet}} to {{convert|1.7|cm|inch}}. Frequencies below 20&nbsp;Hz are generally felt rather than heard, assuming the [amplitude](/source/amplitude) of the vibration is great enough.  Sound waves that have frequencies below 20&nbsp;Hz are called [infrasonic](/source/infrasonic) and those above 20&nbsp;kHz are called [ultrasonic](/source/ultrasonic).

Sound propagates as mechanical vibration waves of pressure and displacement, in air or other substances.<ref>{{cite web |title=Definition of SOUND |url=http://www.merriam-webster.com/dictionary/sound |access-date=3 October 2016}}</ref> In general, frequency components of a sound determine its "color", its [timbre](/source/timbre). When speaking about the frequency (in singular) of a sound, it means the property that most determines its [pitch](/source/Pitch_(music)).<ref>{{Cite book |last1=Pilhofer |first1=Michael |url=https://books.google.com/books?id=CxcviUw4KX8C |title=Music Theory for Dummies |publisher=For Dummies |year=2007 |isbn=978-0-470-16794-6 |page=97}}</ref> Higher pitches have higher frequency, and lower pitches have lower frequency. 

The frequencies an ear can hear are limited to a [specific range of frequencies](/source/Threshold_of_hearing).  The [audible frequency](/source/audible_frequency) range for humans is typically given as being between about 20&nbsp;Hz and 20,000&nbsp;Hz (20&nbsp;kHz), though the high frequency limit usually reduces with age. Other [species](/source/species) have different hearing ranges. For example, some dog breeds can perceive vibrations up to 60,000&nbsp;Hz (60 kHz).<ref name="Physics Factbook">{{cite web |last=Condon |first=Tim |year=2003 |editor-last=Elert |editor-first=Glenn |title=Frequency range of dog hearing |url=https://hypertextbook.com/facts/2003/TimCondon.shtml |accessdate=2008-10-22 |website=The Physics Factbook}}</ref> 

In many media, such as air, the [speed of sound](/source/speed_of_sound) is approximately independent of frequency, so the wavelength of the sound waves (distance between repetitions) is approximately inversely proportional to frequency.

==Frequencies and descriptions==
{| class="wikitable"
! Frequency (Hz)
! [Octave](/source/Octave)
! Description
|-
| 16 to 32
| 1st
| The lower human threshold of hearing, and the lowest pedal notes of a pipe organ.
|-
| 32 to 512
| 2nd to 5th
| Rhythm frequencies, where the lower and upper bass notes lie.
|-
| 512 to 2,048
| 6th to 7th
| Defines human [speech intelligibility](/source/speech_intelligibility), gives a horn-like or tinny quality to sound.
|-
| 2,048 to 8,192
| 8th to 9th
| Gives presence to speech, where [labial](/source/Labial_consonant) and [fricative](/source/fricative) sounds lie.
|-
| 8,192 to 16,384
| 10th
| Brilliance, the sounds of bells and the ringing of cymbals and [sibilance](/source/sibilance) in speech.
|-
| 16,384 to 32,768
| 11th
| Beyond brilliance, nebulous sounds approaching and just passing the upper human threshold of hearing
|}
[[File:Middle C, or 262 hertz, on a virtual oscilloscope.png|thumb|[Oscillogram](/source/Oscilloscope) of a [pure tone](/source/pure_tone) [middle C](/source/C_(musical_note)) (262 Hz). (Scale: 1 square is equal to 1 [millisecond](/source/millisecond))]]
thumb|C5, an octave above middle C. The frequency is twice that of middle C (523 Hz).
thumb|C3, an octave below middle C. The frequency is half that of middle C (131 Hz).
{| class="wikitable"
! MIDI note
! Frequency (Hz)
! Description
! Sound file
|-
| 0
| 8.17578125
| Lowest [organ](/source/Organ_(music)) note
| n/a ([fundamental frequency](/source/fundamental_frequency) inaudible)
|-
| 12
| 16.3515625
| Lowest note for tuba, large pipe organs, [Bösendorfer](/source/B%C3%B6sendorfer) Imperial grand piano
| n/a ([fundamental frequency](/source/fundamental_frequency) inaudible under average conditions)
|-
| 24
| 32.703125
| Lowest C on a standard 88-key [piano](/source/piano)
| File:Audio Frequency tone, C1, 32.70hz.ogg
|-
| 36
| 65.40625
| Lowest note for [cello](/source/cello)
| File:Audio frequency tone, C2, 65.41hz.ogg
|-
| 48
| 130.8125
| Lowest note for [viola](/source/viola), [mandola](/source/mandola)
| File:Audio frequency tone, C3, 130.81hz.ogg
|-
| 60
| 261.625
| [Middle C](/source/Middle_C)
| File:Audio Frequency tone, Middle C, C4, 261.63hz.ogg
|-
| 72
| 523.25
| C in middle of [treble clef](/source/treble_clef)
| File:Audio Frequency tone, C5, 523.25hz.ogg
|-
| 84
| 1,046.5
| Approximately the highest note reproducible by the average female [human voice](/source/human_voice)
| File:Audio Frequency tone, C6, 1046.50hz.ogg
|-
| 96
| 2,093
| Highest note for a [flute](/source/flute)
| File:Audio Frequency tone, C7, 2093hz.ogg
|-
| 108
| 4,186
| Highest note on a standard 88-key piano
| File:Audio frequency tone, C8, 4186hz.ogg
|-
| 120
| 8,372
|
| File:Audio frequency tone, C9, 8372hz.ogg
|-
| 132
| 16,744
| Approximately the tone that a typical [CRT television](/source/CRT_television) emits while running.
| File:Audio frequency tone, C10, 16744hz.ogg
|}

==See also==
*[Absolute threshold of hearing](/source/Absolute_threshold_of_hearing)
*[Hypersonic effect](/source/Hypersonic_effect), controversial claim for human perception above 20,000&nbsp;Hz
*[Loudspeaker](/source/Loudspeaker)
*[Musical acoustics](/source/Musical_acoustics)
*[Piano key frequencies](/source/Piano_key_frequencies)
*[Scientific pitch notation](/source/Scientific_pitch_notation)
*[Whistle register](/source/Whistle_register)

==References==
{{Reflist}}

{{Authority control}}

Category:Acoustics
Category:Sound
Category:Sound measurements
Category:Physical quantities
Category:Audio engineering

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Adapted from the Wikipedia article [Audio frequency](https://en.wikipedia.org/wiki/Audio_frequency) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Audio_frequency?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.
