Musical Note Frequency Calculator

Find any note's frequency in equal temperament at your chosen tuning.

Other ToolsUpdated 2026-10-172 min read
Musical Note Frequency Calculator
Scientific pitch notation: C4 is middle C.
440 Hz is the ISO 16 standard.
Frequency
...
Note name...
MIDI number...

What it does

Equal temperament divides the octave into twelve equal steps, so every semitone multiplies frequency by the twelfth root of two. That single rule generates the frequency of every note once one reference is set.

The reference is A4, and ISO 16:1975 fixed it at 440 Hz for instrument makers and broadcasters. Orchestras sometimes drift higher for brightness, with 442 and 443 common in Europe, and historically informed groups tune to 415 for Baroque pitch.

The tool above maps the note and octave to a MIDI number, then applies the equal temperament formula. The defaults return middle C: MIDI note 60, 261.63 Hz when A4 sits at 440.

MIDI numbering makes the arithmetic tidy because A4 is note 69. Each step of 12 in the MIDI number doubles the frequency, so C5 lands at 523.25 Hz, exactly twice middle C, and A3 lands at 220 Hz, half of A4.

The math assumes equal temperament, where every key is slightly mistuned from pure ratios to allow free modulation. String quartets and a cappella groups shade toward just intonation by ear, so the printed frequency is the target, not the last word.

How to use

  1. Pick the note name, sharps included.
  2. Enter the octave using scientific notation.
  3. Adjust concert pitch if your ensemble uses one.
  4. Read the frequency in hertz.
  5. Check the MIDI number for DAW work.
  6. Compare two octaves to see the exact doubling.

Formula

f = A4 tuning x 2^((n - 69) / 12), where n = (octave + 1) x 12 + semitone index is the MIDI note number.
f
Frequency in hertz for the selected note.
n
MIDI note number, 69 for A4 (440 Hz).
A4
Concert pitch reference in hertz, 440 by ISO 16.
octave
Scientific octave number, with C4 as middle C.

The exponent divides the semitone distance from A4 by 12, so 12 semitones up multiplies by exactly 2. Sharps are treated as the twelve equal steps; enharmonic names like A# and Bb share a frequency. The tuning input lets you match Vienna at 443 or a period ensemble at 415.1 without changing anything else about the math.

Worked example

Example: middle C at 440 Hz

Note C, octave 4, concert pitch 440 Hz (defaults).

  1. MIDI number: (4 + 1) x 12 + 0 = 60.
  2. Distance from A4: 60 - 69 = -9 semitones.
  3. Ratio: 2^(-9/12) = 0.5946.
  4. Frequency: 440 x 0.5946 = 261.63 Hz.
  5. One octave up, C5, doubles to 523.25 Hz.

Reference table

Frequencies in the fourth octave at A4 = 440 Hz
NoteFrequencyMIDI
C4261.63 Hz60
D4293.66 Hz62
E4329.63 Hz64
F#4369.99 Hz66
G4392 Hz67
A4440 Hz69
B4493.88 Hz73
C5523.25 Hz72

Limits

  • Equal temperament only; just intonation differs by a few cents.
  • Fixed A4 reference; no stretch tuning as pianos use.
  • Octave conventions matter: C4 here is middle C, MIDI 60.
  • Instrument inharmonicity and playing technique move real pitches.

Common mistakes

  • Counting middle C as C3 instead of C4 in scientific notation.
  • Assuming 440 Hz everywhere; European orchestras often sit at 442 or 443.
  • Confusing hertz differences with cents, which are logarithmic.
  • Expecting a piano's top octave to match the formula exactly, stretch tuning aside.
  • Reading A# and Bb as different pitches; equal temperament makes them one.

Try it yourself

Quick checks. Answers sit tucked under each question.

G4 at 440 Hz?

392 Hz, MIDI note 67.

A3 at 440 Hz?

220 Hz, MIDI note 57.

A4 when the ensemble tunes to 442 Hz?

442 Hz, still MIDI note 69.

Questions

Why is A4 440 Hz?

ISO 16:1975 standardized it, following a push from broadcasters and instrument makers who needed one reference worldwide. It remains the concert pitch default.

What is 442 Hz tuning?

A slightly sharper concert pitch common in European orchestras, about 8 cents above 440. The tool accepts any reference from 400 to 480 Hz.

What about 432 Hz?

A popular alternative tuning, about 32 cents flat of standard. Math and physics do not favor it; taste and tradition do.

How many cents is one hertz at A4?

Near 440 Hz, one hertz is about 3.9 cents. The same hertz gap at A2 spans roughly 15 cents, because cents measure ratios.

Why is C4 261.63 Hz and not a rounder number?

Equal temperament forces irrational ratios between most notes. Only octaves stay exact, so middle C inherits its long decimal from the twelfth root of two.

Does this cover just intonation?

No. Just intonation tunes intervals to small whole number ratios, which sounds purer in one key and drifts in others. This page is equal temperament throughout.

Sources

How this page was checked. The formula above was matched against the cited sources, and the worked example was run through the tool on this page before publishing. If you spot an error, contact us so we can fix it and note the correction.