A5 Frequency in Hz

A5 is 880.00 Hz in twelve tone equal temperament with A4 at the standard 440 Hz. It is MIDI note 81, piano key 61 of 88, and its wavelength in room-temperature air is about 0.39 m.

Frequency
880.00Hz
MIDI note
81
Piano key
61

A5 sits in the soprano register, the bright end of a violin, flute or female voice. Every number on this page is calculated from one formula rather than copied from a table, so the values here agree exactly with the full note frequency chart and with what the chromatic tuner reads back from your microphone.

How is the frequency of A5 calculated?

Twelve tone equal temperament divides the octave into twelve equal ratios. Each semitone multiplies the frequency by the twelfth root of two, about 1.059463, so twelve semitones multiply it by exactly two and you land one octave higher. Fix one note as the anchor and the rest follow. The anchor is A4, and the modern standard puts it at 440 Hz, which is what ISO 16 specifies as the standard tuning frequency.

Written as a formula, the frequency of MIDI note m is 440 x 2^((m - 69) / 12), because A4 is MIDI note 69. For A5 that is 440 x 2^((81 - 69) / 12) = 440 x 2^(1.0000) = 880.00 Hz. That is 12 semitones above the reference.

What is A5 at other tuning references?

A4 at 440 Hz is the standard, not a law. Historical pitch was lower, and plenty of modern ensembles tune a little higher because a raised pitch is often described as sounding brighter in a large hall. Rebasing the same formula gives these values for A5.

Reference A4A5 in HzDifferenceContext
415 Hz830.00-50.00 HzBaroque pitch, roughly a semitone below modern A
432 Hz864.00-16.00 HzAlternative tuning used by some players, not a standard
435 Hz870.00-10.00 HzDiapason normal, the 19th century French standard
440 Hz880.00referenceModern concert pitch, the ISO 16 standard
442 Hz884.00+4.00 HzCommon in many central European orchestras
443 Hz886.00+6.00 HzUsed by some ensembles that want a brighter sound

Changing the reference multiplies every note by the same ratio, so intervals stay identical and only the absolute pitch moves.

What is A5 in every octave?

Moving up an octave doubles the frequency and moving down halves it, which is the one relationship in tuning that needs no calculator. Here is A across the full chart range.

NoteHzMIDIPiano key
A027.50211
A155.003313
A2110.004525
A3220.005737
A4440.006949
A5880.008161
A61760.09373
A73520.010585
A87040.0117-

What are the harmonics of A5?

A real instrument playing A5 does not produce 880.00 Hz alone. It produces a fundamental plus a series of whole-number multiples, and the balance between them is what makes a violin sound different from a flute on the same note. The harmonics land close to familiar notes but not exactly on them, because the harmonic series is built on simple ratios while equal temperament is not.

HarmonicHzNearest noteCents off
1 (fundamental)880.00A50
21760.0A60
32640.0E7+2
43520.0A70
54400.0C#8-14
65280.0E8+2
76160.0G8-31
87040.0A80

The seventh harmonic is the famous outlier: it lands roughly 31 cents flat of the nearest equal-tempered note, which is why it sounds bluesy rather than in tune.

How do I tune to A5?

Play the note and watch the cents readout rather than the hertz readout, because cents are proportional and hertz are not. A tuner rounds to the nearest note, so anything from 854.95 Hz to 905.79 Hz is read as A5: that is the band fifty cents either side. Most players aim to land inside five cents, which for A5 is roughly 877.46 Hz to 882.55 Hz.

Use the tone generator to play 880.00 Hz as a reference and match it by ear, or open the chromatic tuner and let your microphone do the measuring. Its neighbours are G#5 at 830.61 Hz below and A#5 at 932.33 Hz above, one semitone in each direction.

What intervals are built on A5?

Interval above A5NoteHzRatio
Minor thirdC61046.51.1892
Major thirdC#61108.71.2599
Perfect fourthD61174.71.3348
Perfect fifthE61318.51.4983
OctaveA61760.02.0000

Ratios are the equal-tempered values. Pure just intonation would put the perfect fifth at exactly 1.5 and the major third at 1.25, which is why equal temperament thirds sound slightly wide.

What is the wavelength of A5?

Sound travels at roughly 343 m/s in dry air at 20 degrees Celsius, so a 880.00 Hz wave is about 0.390 m long, or 39.0 cm. That matters for room acoustics: a wavelength that fits neatly between two parallel walls builds a standing wave, and it is also why a pipe or string producing A5 has the physical length it does. The speed of sound changes with temperature, so treat the figure as a good approximation rather than a constant.

Frequently asked questions

What is the frequency of A5 in Hz?

A5 is 880.00 Hz in twelve tone equal temperament with A4 set to the standard 440 Hz. The value comes from the formula 440 x 2^((m - 69) / 12), where m is the MIDI note number, which is 81 for A5.

What MIDI note number is A5?

A5 is MIDI note 81 when middle C is written C4, the scientific pitch notation used on this site. Software that follows the Yamaha convention labels the same MIDI number A4, one octave lower in name only. The pitch you hear is identical either way.

How far apart are A5 and the note a semitone above it?

One semitone up from A5 is 932.33 Hz, a difference of 52.33 Hz. Every semitone is the same ratio, the twelfth root of two or about 1.059463, so the gap in hertz grows as you move higher up the keyboard.

What is A5 at A4 = 442 Hz?

Rebasing the same formula on 442 Hz gives 884.00 Hz for A5, about 4.00 Hz higher than the 440 Hz value. Raising the reference shifts every note by the identical ratio, roughly 7.85 cents from 440 to 442.

Where is A5 on a piano?

A5 is key 61 of the 88 keys, counting from A0 at the far left. It is a white key and sits in the soprano register, the bright end of a violin, flute or female voice.

Other notes in octave 5

Music tools that use this frequency