A6 Frequency in Hz

A6 is 1760.0 Hz in twelve tone equal temperament with A4 at the standard 440 Hz. It is MIDI note 93, piano key 73 of 88, and its wavelength in room-temperature air is about 0.19 m.

Frequency
1760.0Hz
MIDI note
93
Piano key
73

A6 sits in the high register, the top of a piccolo or the upper piano octaves. 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 A6 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 A6 that is 440 x 2^((93 - 69) / 12) = 440 x 2^(2.0000) = 1760.0 Hz. That is 24 semitones above the reference.

What is A6 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 A6.

Reference A4A6 in HzDifferenceContext
415 Hz1660.0-100.00 HzBaroque pitch, roughly a semitone below modern A
432 Hz1728.0-32.00 HzAlternative tuning used by some players, not a standard
435 Hz1740.0-20.00 HzDiapason normal, the 19th century French standard
440 Hz1760.0referenceModern concert pitch, the ISO 16 standard
442 Hz1768.0+8.00 HzCommon in many central European orchestras
443 Hz1772.0+12.00 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 A6 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 A6?

A real instrument playing A6 does not produce 1760.0 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)1760.0A60
23520.0A70
35280.0E8+2
47040.0A80
58800.0C#9-14
610560.0E9+2
712320.0G9-31
814080.0A90

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 A6?

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 1709.9 Hz to 1811.6 Hz is read as A6: that is the band fifty cents either side. Most players aim to land inside five cents, which for A6 is roughly 1754.9 Hz to 1765.1 Hz.

Use the tone generator to play 1760.0 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#6 at 1661.2 Hz below and A#6 at 1864.7 Hz above, one semitone in each direction.

What intervals are built on A6?

Interval above A6NoteHzRatio
Minor thirdC72093.01.1892
Major thirdC#72217.51.2599
Perfect fourthD72349.31.3348
Perfect fifthE72637.01.4983
OctaveA73520.02.0000

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 A6?

Sound travels at roughly 343 m/s in dry air at 20 degrees Celsius, so a 1760.0 Hz wave is about 0.195 m long, or 19.5 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 A6 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 A6 in Hz?

A6 is 1760.0 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 93 for A6.

What MIDI note number is A6?

A6 is MIDI note 93 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 A5, one octave lower in name only. The pitch you hear is identical either way.

How far apart are A6 and the note a semitone above it?

One semitone up from A6 is 1864.7 Hz, a difference of 104.66 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 A6 at A4 = 442 Hz?

Rebasing the same formula on 442 Hz gives 1768.0 Hz for A6, about 8.00 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 A6 on a piano?

A6 is key 73 of the 88 keys, counting from A0 at the far left. It is a white key and sits in the high register, the top of a piccolo or the upper piano octaves.

Other notes in octave 6

Music tools that use this frequency