Frequency

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Frequency is the number of complete oscillation cycles a sound wave performs per second, measured in hertz (Hz). In acoustics, it describes how quickly air pressure alternates between compression and rarefaction at a point, and it is the physical quantity behind the perceived pitch of a sound.

Frequency is one of the three basic descriptors of a sound wave, together with amplitude and wavelength. It shapes almost every decision in audio: how microphones and loudspeakers are specified, how rooms resonate, how equalizers are set and how loud a sound seems to a listener.

How frequency describes a sound wave

Frequency is the reciprocal of the period: a wave whose cycle lasts T seconds has a frequency of f = 1/T. A 1 kHz tone completes 1,000 cycles per second, so each cycle lasts 1 millisecond, and a 100 Hz tone has a period of 10 ms.

Frequency also links time to space through the speed of sound. In air at 20 °C, sound travels at about 343 m/s, and the wavelength equals that speed divided by frequency. Low frequencies therefore have wavelengths of several meters, while high frequencies have wavelengths of a few centimeters, which explains much of their different behavior in rooms.

The table shows how period and wavelength change across the audible range in air at 20 °C.

FrequencyPeriodWavelengthPractical consequence
20 Hz50 msAbout 17 mLarger than most rooms, hard to absorb
100 Hz10 msAbout 3.4 mRoom modes dominate small spaces
1 kHz1 msAbout 34 cmInteracts with furniture and bodies
5 kHz0.2 msAbout 6.9 cmEasily absorbed and shadowed
20 kHz0.05 msAbout 1.7 cmHighly directional, strongly absorbed by air
Frequency, period and wavelength in air

The audible frequency range and its regions

Human hearing spans roughly 20 Hz to 20 kHz in young, healthy listeners, and the upper limit falls with age, often to 12-16 kHz in middle age. Below the range lies infrasound and above it ultrasound; both exist physically but are not heard as tone.

Audio engineers divide the audible spectrum into regions with characteristic sound qualities. The boundaries below are conventional, and different practitioners shift them slightly.

RegionApproximate rangeTypical contentPerceived character
Sub-bass20-60 HzKick drum body, pipe organ, rumbleFelt more than heard
Bass60-250 HzBass guitar, male voice fundamentalsWarmth and weight
Low midrange250-500 HzBody of most instrumentsFullness, or muddiness in excess
Midrange500 Hz-2 kHzVocal fundamentals and harmonicsPresence and nasality
Upper midrange2-6 kHzConsonants, attack transientsClarity, harshness in excess
Treble6-20 kHzSibilance, cymbals, airBrilliance and sparkle
Regions of the audible spectrum

Hearing is not equally sensitive across frequencies. The ear is most sensitive at about 2-5 kHz, a region boosted by the ear canal resonance, and much less sensitive in the bass at low levels. Equal-loudness contours, standardized in ISO 226, describe this behavior and are the basis of A-weighting in sound level measurement.

Frequency is a physical measurement, whereas pitch is a perception. The two are closely related, but pitch also depends on level, duration and harmonic content, and complex sounds have a pitch set mostly by their fundamental frequency even when that fundamental is weak or missing.

ConceptWhat it describesUnitRelation to frequency
FrequencyCycles per secondHzPhysical basis
PitchPerceived highness of a toneMusical notes, melsMostly follows the fundamental
PeriodDuration of one cycleSecondsReciprocal of frequency
WavelengthDistance covered by one cycleMetersSpeed of sound divided by frequency
AmplitudeSize of the pressure variationPascals or dB SPLIndependent of frequency
Frequency and neighboring concepts

Frequency relationships are logarithmic in perception. Doubling a frequency raises it by one octave, so 110 Hz to 220 Hz sounds like the same interval as 1,760 Hz to 3,520 Hz. For this reason analyzers, equalizers and acoustic measurements use octave and third-octave bands with standardized center frequencies such as 125 Hz, 250 Hz, 500 Hz and 1 kHz.

Why frequency matters in rooms and equipment

Almost every acoustic property is frequency dependent, so a single number rarely describes a room or device. Absorption coefficients, reverberation time and transmission loss are all reported per band, because a material that controls 2 kHz may do almost nothing at 100 Hz.

  • Absorption: porous panels work well above a few hundred hertz but need depth of about a quarter wavelength to affect bass.
  • Room modes: standing waves form at frequencies whose half wavelengths fit the room dimensions, typically below about 300 Hz in domestic rooms.
  • Directivity: loudspeakers and microphones become more directional at high frequencies, where wavelengths approach the size of the device.
  • Frequency response: equipment specifications state how evenly a device reproduces each frequency, for example 20 Hz-20 kHz within plus or minus 3 dB.

Common misconceptions about frequency

Several widespread beliefs about frequency confuse physics with perception or ignore context. The table corrects the most frequent ones.

MisconceptionCorrection
Higher frequency means louder soundLoudness depends on amplitude and on the ear’s sensitivity at that frequency
A note contains one frequencyInstruments produce a fundamental plus harmonics that define timbre
A frequency range spec guarantees qualityWithout tolerance in dB, a range figure says little
Bass can be fixed with thin foamLow frequencies need deep absorbers, bass traps or room treatment
Everyone hears up to 20 kHzThe upper limit varies widely and declines with age and noise exposure
Misconceptions and corrections

Understanding it simply

Frequency tells you how fast a sound vibrates. A deep drum shakes the air slowly, perhaps 60 times each second. A whistle shakes it thousands of times each second.

We hear slow vibrations as low notes and fast vibrations as high notes. Doubling the speed of vibration raises a note by one octave, the same step as from one C to the next C on a piano.

Applied in practice

A podcast producer records in a small spare room measuring about 3.4 by 2.8 meters. Voices sound boomy, so an acoustic consultant measures the room and finds a strong peak at about 50 Hz, the first length mode, plus a dip near 120 Hz at the listening position.

Thin foam panels already on the walls absorbed treble but did nothing to the bass, because the problem wavelengths are several meters long. The consultant adds deep corner bass traps and recommends a high-pass filter at 80 Hz on the voice microphones. The boom disappears, speech becomes clearer, and the producer spends far less time correcting each episode with equalization.