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Pitch reference · Free

Note, Frequency & MIDI Converter

Type a note name, a frequency in hertz, or a MIDI number, and read the other two at once. Off-grid frequencies get their distance in cents, the reference pitch moves from 390 to 500 hertz, and every value can be played back.

Calculated in your browser · No microphone, nothing uploaded

440.00 hertz is A4, MIDI 69, 0 cents from equal temperament at A4 = 440 hertz.

Three ways in

Type whichever one you already have

The box you type in becomes the source and the other two follow. The fields you are not using are tinted, so it is always clear which value you supplied.

Letter, optional # or b, octave

Any positive number

0 to 127

The note

A4

A natural note, a white key

Frequency
440.00 Hz
at A4 = 440 Hz
MIDI number
69
pitch class 9
Cents from grid
0
Exactly in tune
Low midPeriod 2.273 msWavelength 0.78 m in airPiano key 49 of 88
As a wave

Low mid

Middle C sits here. The fundamental range of most instruments and voices.

Period
2.273 ms
One full cycle
Wavelength
0.78 m
In air at 20 degrees
Piano key
49 of 88
A white key
Octave
4
Scientific pitch notation
Who can play it

11 of the common ranges reach A4

  • Piano88 keys, A0 to C8
  • GuitarStandard tuning, E2 to E6 at the 24th fret
  • ViolinG3 upwards, the top end depending on the player
  • ViolaC3 upwards
  • CelloC2 upwards
  • FluteC4 to C7
  • Clarinet in B flatSounding D2 upwards
  • Trumpet in B flatSounding F#3 upwards
  • Soprano voiceC4 to A5, typical rather than absolute
  • Alto voiceG3 to E5
  • Tenor voiceC3 to C5

Ranges are sounding pitch, not written pitch, and are the usual working range rather than the record. A guitar reads an octave above where it sounds; this table lists what comes out of the instrument.

Harmonic series

The first sixteen multiples of 440.00 Hz

Every harmonic is a whole-number multiple of the fundamental, which is physics rather than tuning. The cents column is where equal temperament and physics disagree: the seventh harmonic lands 31 cents flat of the nearest key, and the eleventh sits almost exactly between two of them.

Each harmonic with its frequency, nearest note, and cents deviation
HarmonicHertzNearest noteCentsInterval above the root
1440.00A40Fundamental
2880.00A50Octave
31320.0E6+2.0Octave and a fifth
41760.0A60Two octaves
52200.0C#7-13.7Two octaves and a major third
62640.0E7+2.0Two octaves and a fifth
73080.0G7-31.2Two octaves and a flat seventh
83520.0A70Three octaves
93960.0B7+3.9Three octaves and a major second
104400.0C#8-13.7Three octaves and a major third
114840.0D#8-48.7Three octaves and a tritone
125280.0E8+2.0Three octaves and a fifth
135720.0F8+40.5Three octaves and a minor sixth
146160.0G8-31.2Three octaves and a flat seventh
156600.0G#8-11.7Three octaves and a major seventh
167040.0A80Four octaves
Full reference

Every MIDI note from 0 to 127

Frequencies recalculated for A4 = 440 Hz. Click any row to load that note above. The eighty-eight piano keys are numbered in the last column, and the rows outside them are the notes a keyboard cannot reach.

MIDI note numbers with note names, frequencies, and piano key numbers
MIDINoteHertzPiano key
08.176
18.662
29.177
39.723
410.301
510.913
611.562
712.250
812.978
913.750
1014.568
1115.434
1216.352
1317.324
1418.354
1519.445
1620.602
1721.827
1823.125
1924.500
2025.957
2127.5001
2229.1352
2330.8683
2432.7034
2534.6485
2636.7086
2738.8917
2841.2038
2943.6549
3046.24910
3148.99911
3251.91312
3355.00013
3458.27014
3561.73515
3665.40616
3769.29617
3873.41618
3977.78219
4082.40720
4187.30721
4292.49922
4397.99923
44103.8324
45110.0025
46116.5426
47123.4727
48130.8128
49138.5929
50146.8330
51155.5631
52164.8132
53174.6133
54185.0034
55196.0035
56207.6536
57220.0037
58233.0838
59246.9439
60261.6340
61277.1841
62293.6642
63311.1343
64329.6344
65349.2345
66369.9946
67392.0047
68415.3048
69440.0049
70466.1650
71493.8851
72523.2552
73554.3753
74587.3354
75622.2555
76659.2656
77698.4657
78739.9958
79783.9959
80830.6160
81880.0061
82932.3362
83987.7763
841046.5064
851108.7365
861174.6666
871244.5167
881318.5168
891396.9169
901479.9870
911567.9871
921661.2272
931760.0073
941864.6674
951975.5375
962093.0076
972217.4677
982349.3278
992489.0279
1002637.0280
1012793.8381
1022959.9682
1033135.9683
1043322.4484
1053520.0085
1063729.3186
1073951.0787
1084186.0188
1094434.92
1104698.64
1114978.03
1125274.04
1135587.65
1145919.91
1156271.93
1166644.88
1177040.00
1187458.62
1197902.13
1208372.02
1218869.84
1229397.27
1239956.06
12410548.08
12511175.30
12611839.82
12712543.85
MIDI 21 is A0 and MIDI 108 is C8, the two ends of a standard piano. The fundamental of MIDI 0 is 8.18 Hz at concert pitch, which is below hearing and exists only as a number.
How it works

One reference pitch, twelve equal steps, and a logarithm.

Equal temperament divides the octave into twelve steps that are equal as ratios rather than as differences: each semitone multiplies the frequency by the twelfth root of two, about 1.0595. Fix one note and every other note follows, which is why the whole system hangs on where A4 sits. Converting a note to a frequency is therefore a power of two, and converting a frequency back to a note is a base-two logarithm, which is also where the cents figure comes from: the fractional part of that logarithm, multiplied out into hundredths of a semitone. MIDI numbers are the same grid with the names removed, counting semitones from a fixed point, which is exactly why they are the safest way to write a pitch down.

  1. 01

    Type into whichever of the three boxes you have

    A note name such as A4, F#2, or Bb3; a frequency such as 440, 440.5, or 1.2k; or a MIDI number from 0 to 127. The box you type in becomes the source and the other two follow, with the fields you are not using tinted so it stays clear which value you supplied.

  2. 02

    Set the reference pitch if it is not 440

    Everything on the page is derived from where A4 sits, so a baroque ensemble at 415, an orchestra at 442, or the 432 tuning all shift the whole grid. One-tap presets cover the four common references, and any value from 390 to 500 hertz can be typed in.

  3. 03

    Read the cents, and hear the difference

    A frequency that is not exactly a note reports its distance from the nearest one in cents. Play your pitch and the nearest note together and the two beat against each other at the difference in hertz, which is what tuning by ear actually listens for.

For producers, engineers, students, and anyone tuning something

Three views of one pitch, and the physics around it.

Three-way conversion, not two

Note names, hertz, and MIDI numbers are three views of the same quantity, and work usually needs to cross between all three: a synth patch is in hertz, a sequencer is in MIDI numbers, and the person you are talking to says the note name. Any of the three can be the source, and the other two update as you type.

Cents, because most frequencies are not notes

A measured or typed frequency almost never lands exactly on a key. The page reports how far it sits from the nearest equal-tempered note in cents, where a hundred cents is one semitone and about five cents is the smallest difference most people hear on a sustained tone. The verdict is written out as well as measured, so the number is not the only signal.

A reference pitch that actually moves

A4 runs from 390 to 500 hertz with presets for 415, 432, 440, and 442. It is not a decoration: every frequency, every table row, and every sounding tone is recalculated from it, so a baroque player at 415 gets a page that is right for them rather than one that is right for a modern orchestra.

Hear the beat, not just the number

Play your frequency and the nearest note at the same time and the two interfere, pulsing at exactly the difference between them. Two hertz apart is two pulses a second. That is the mechanism behind tuning by ear, and hearing it is a faster way to understand cents than reading about them.

The harmonic series, with the disagreements marked

The first sixteen multiples of your frequency, each with its nearest note and how far off that note it is. It makes the compromise in equal temperament visible: the seventh harmonic lands about 31 cents flat of the nearest key and the eleventh sits nearly halfway between two, which is why those intervals sound the way they do on a brass instrument and cannot be played on a piano at all.

Every MIDI note, recalculated

All 128 notes with names in sharps or flats, frequencies at your chosen reference, and the piano key number where one exists. Click a row to load it. The wave figures, period and wavelength in air, and the frequency band come with it, which is the part audio work needs and a music-only chart leaves out.

Pitch questions

The formula, cents, 432 against 440, and why the seventh harmonic is flat.

What is the formula for note to frequency?+

Frequency equals the reference pitch times two to the power of the number of semitones from that reference, divided by twelve. With A4 at 440 hertz and MIDI 69 as A4, that is f = 440 × 2^((m − 69) ÷ 12) for MIDI note m. The inverse, going from a frequency back to a note, is m = 69 + 12 × log2(f ÷ 440). Two things follow. Doubling the frequency adds twelve to the MIDI number, which is why an octave up is always twice the hertz. And the spacing between notes is multiplicative rather than additive: the semitone from A4 to A#4 is about 26 hertz, while the same semitone three octaves down is about 3.3 hertz.

What is a cent?+

One hundredth of an equal-tempered semitone, so 1200 cents to the octave. The scale is logarithmic, which is what makes it useful: five cents is the same perceived amount of out-of-tune at the bottom of a bass as at the top of a piccolo, whereas five hertz is inaudible in one place and glaring in the other. As a rough guide, under two cents is indistinguishable, five cents is where a careful listener notices on a sustained note, ten to fifteen cents sounds slightly sour in a chord, and anything past fifty cents is closer to the next note than to the one you intended.

Why is A4 440 hertz, and what is 432 about?+

440 was standardised by an international conference in 1939 and confirmed as ISO 16 in 1955. Before that, pitch drifted widely by country, city, and decade: baroque ensembles commonly worked near 415, which is almost exactly a semitone below modern pitch, and nineteenth-century orchestras crept upward, reaching 450 or higher, because sharper tuning sounds brighter and orchestras compete. Many European orchestras still tune to 442 or 443 for the same reason. 432 is a modern alternative promoted on claims about natural resonance that have no support in physics or in the historical record, but it is a perfectly usable reference if you like how it sounds, and the page will happily work in it.

What is the frequency of middle C?+

261.63 hertz at concert pitch, and it is MIDI note 60. The naming is the confusing part rather than the number: middle C is C4 in scientific pitch notation, the convention this page uses, where the octave number changes at C rather than at A. That is why B3 is a semitone below C4 rather than a semitone above it. Yamaha and some MIDI hardware label the same note C3, shifting every octave number by one, which is a persistent source of off-by-an-octave errors when moving material between devices. The MIDI number never moves, which is exactly why it is worth quoting.

Why does my tuner disagree with this page?+

Usually the reference pitch. Check whether the tuner is set to 440, 442, or something else, because a shift of two hertz at A4 moves everything by about eight cents. After that, temperament: this page uses equal temperament, where every semitone is the same size, while a piano tuner uses stretched octaves and a string quartet adjusts thirds and fifths by ear away from equal temperament to make chords sound cleaner. Neither is wrong. Equal temperament is a compromise that lets every key be playable, and it is the right reference for electronic instruments, samples, and anything with a fixed grid.

What does the wavelength figure mean?+

How long one cycle of that frequency is as it travels through air, at about 343 metres a second at room temperature. It is the number that decides how sound behaves in a physical space: a 40 hertz note is roughly 8.6 metres long, which is bigger than most rooms and why bass is uneven as you walk around, while a 10 kilohertz tone is about 34 millimetres and is absorbed by a curtain. It also explains why bass traps are large and treble panels are thin, and why loudspeaker driver spacing matters at crossover.

Why is the seventh harmonic marked as off?+

Because it genuinely is, and no keyboard can play it. The harmonic series is fixed by physics: harmonic seven is exactly seven times the fundamental. Equal temperament divides the octave into twelve equal steps, and no combination of those steps lands on that ratio; the nearest key is about 31 cents away, roughly a third of a semitone. Brass players know this one well, since the seventh partial is noticeably flat and has to be lipped or valved into place. The eleventh is worse, sitting almost exactly between two keys, which is the sound of a natural trumpet or a bugle playing what is often described as an out-of-tune fourth.

Can I use this to tune an instrument?+

For a reference pitch, yes: play the tone and match it by ear, and use the beating between two tones to get closer than a single tone allows. What this page does not do is listen. There is no microphone, no pitch detection, and no meter that follows your string as you turn the peg, so it is a reference rather than a tuner. If you know the frequency you are aiming for, whether that is an open string, a drum head, or a synth oscillator, this page will tell you the note and the cents, and play it back for you to match.

What are MIDI notes 0 to 20 for, if a piano cannot play them?+

They exist because the MIDI specification defines 128 note numbers and the piano only occupies 88 of them. The bottom of the range, MIDI 0 at about 8.18 hertz, is below human hearing and is genuinely inaudible as a pitch, though it is useful as a control value, as a modulation rate, or as the fundamental of a synthesised sound whose harmonics are audible even when the fundamental is not. The top of the range, MIDI 127 at about 12,544 hertz, is audible as a tone to most people under forty but is above the fundamental of any orchestral instrument.

Does this page use my microphone or send anything anywhere?+

Neither. There is no microphone request, no recording, and no network call. The conversion is arithmetic and the reference tone is generated by the Web Audio API in this tab. The audio context is only created when you press play, which is both a browser requirement and a good default, and every voice is stopped when you leave the page.

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