B2 Frequency in Hz

B2 is 123.47 Hz in twelve tone equal temperament with A4 at the standard 440 Hz. It is MIDI note 47, piano key 27 of 88, and its wavelength in room-temperature air is about 2.78 m.

Frequency
123.47Hz
MIDI note
47
Piano key
27

B2 sits in the bass register, where a bass guitar and the low male voice live. 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 B2 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 B2 that is 440 x 2^((47 - 69) / 12) = 440 x 2^(-1.8333) = 123.47 Hz. That is 22 semitones below the reference.

What is B2 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 B2.

Reference A4B2 in HzDifferenceContext
415 Hz116.46-7.02 HzBaroque pitch, roughly a semitone below modern A
432 Hz121.23-2.24 HzAlternative tuning used by some players, not a standard
435 Hz122.07-1.40 HzDiapason normal, the 19th century French standard
440 Hz123.47referenceModern concert pitch, the ISO 16 standard
442 Hz124.03+0.56 HzCommon in many central European orchestras
443 Hz124.31+0.84 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 B2 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 B across the full chart range.

NoteHzMIDIPiano key
B030.87233
B161.743515
B2123.474727
B3246.945939
B4493.887151
B5987.778363
B61975.59575
B73951.110787
B87902.1119-

What are the harmonics of B2?

A real instrument playing B2 does not produce 123.47 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)123.47B20
2246.94B30
3370.41F#4+2
4493.88B40
5617.35D#5-14
6740.82F#5+2
7864.30A5-31
8987.77B50

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 B2?

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 119.96 Hz to 127.09 Hz is read as B2: that is the band fifty cents either side. Most players aim to land inside five cents, which for B2 is roughly 123.11 Hz to 123.83 Hz.

Use the tone generator to play 123.47 Hz as a reference and match it by ear, or open the chromatic tuner and let your microphone do the measuring. Its neighbours are A#2 at 116.54 Hz below and C3 at 130.81 Hz above, one semitone in each direction.

What intervals are built on B2?

Interval above B2NoteHzRatio
Minor thirdD3146.831.1892
Major thirdD#3155.561.2599
Perfect fourthE3164.811.3348
Perfect fifthF#3185.001.4983
OctaveB3246.942.0000

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 B2?

Sound travels at roughly 343 m/s in dry air at 20 degrees Celsius, so a 123.47 Hz wave is about 2.778 m long, or 277.8 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 B2 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 B2 in Hz?

B2 is 123.47 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 47 for B2.

What MIDI note number is B2?

B2 is MIDI note 47 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 B1, one octave lower in name only. The pitch you hear is identical either way.

How far apart are B2 and the note a semitone above it?

One semitone up from B2 is 130.81 Hz, a difference of 7.34 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 B2 at A4 = 442 Hz?

Rebasing the same formula on 442 Hz gives 124.03 Hz for B2, about 0.56 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 B2 on a piano?

B2 is key 27 of the 88 keys, counting from A0 at the far left. It is a white key and sits in the bass register, where a bass guitar and the low male voice live.

Other notes in octave 2

Music tools that use this frequency