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Music Frequency Note Calculator

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440 standard; 442–443 many orchestras; 415 baroque

Nearest note

C4

261.63 Hz is in tune with C4 (261.63 Hz).

MIDI note
60
Period
3.822 ms
Wavelength in air
1.311 m
Octave up / down
523.3 / 130.8 Hz

Octave 4 in equal temperament

C4: 261.63
C♯/D♭4: 277.18
D4: 293.66
D♯/E♭4: 311.13
E4: 329.63
F4: 349.23
F♯/G♭4: 369.99
G4: 392.00
G♯/A♭4: 415.30
A4: 440.00
A♯/B♭4: 466.16
B4: 493.88

f = A4 × 2^((n − 69) / 12), where n is the MIDI note number. Each semitone multiplies the frequency by 2^(1/12) ≈ 1.0595.

Convert a frequency in hertz to the nearest musical note and how many cents sharp or flat it is, or a note to its frequency, in equal temperament with any A4 reference (440 Hz, 442 or baroque 415), with the MIDI number, period and wavelength in air.

Formula

f=A4×2(n−69)/12,n=MIDI note number\text{f} = \text{A}4 \times 2^{(\text{n} - 69) / 12}, \text{n} = \text{MIDI note number}
cents=1200×log2(f/fnote)\text{cents} = 1200 \times \text{log}_{2}(\text{f} / \text{f}_{\text{note}})

Worked Example

Frequency261.63 Hz
ReferenceA4 = 440 Hz
Result
NoteC4 (middle C), in tune
MIDI note60
Wavelength in air1.311 m

Middle C is 9 semitones below A4, so its frequency is 440 × 2^(−9/12) = 261.63 Hz. At a sound speed of 343 m/s, one wavelength is 343 ÷ 261.63 = 1.31 m long.

Frequently Asked Questions

What frequency is middle C?

261.63 Hz with the standard A4 = 440 Hz tuning. It is called C4 in scientific pitch notation and is MIDI note 60.

What is a cent in music?

A hundredth of an equal-tempered semitone; an octave has 1,200 cents. Most listeners notice a difference of about 5–10 cents between two notes played one after the other, and tuners usually call a note in tune within ±5 cents.

Why do orchestras tune to 442 Hz?

A slightly higher A gives a brighter sound, and many European orchestras use 442 or 443 Hz. Baroque ensembles often play at A = 415 Hz, close to a semitone below modern pitch, to match period instruments.