Musical Note Frequency Calculator

Quick answer

A note frequency in equal temperament is the A4 reference times two to the power of the semitone distance over twelve. With A4 at 440 Hz, the A above middle C is 440 Hz and middle C is about 261.63 Hz. Choose a note and octave to get its exact frequency, MIDI number and wavelength.

Updated 2026-09-09By Shakeel MuzaffarReviewed by Prof. Dr. Khalil Mudassar, PhD
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Music and Audio
The note name; sharps and flats share a pitch in equal temperament.
Scientific pitch notation octave; middle C is C4.
Concert pitch, usually 440 Hz.
Frequency
--
MIDI note number--
Wavelength--
Period--

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How to Use the Note Frequency Calculator

  1. Choose the note name from the list.
  2. Enter the octave in scientific pitch notation, where middle C is C4.
  3. Leave the A4 reference at 440 Hz, or change it for a different tuning.
  4. Read the frequency in hertz, plus the MIDI number, wavelength and period.
ResultWhat it means
FrequencyHow many times per second the note vibrates, in hertz.
MIDI note numberThe standard number used by keyboards and software for that note.
WavelengthThe length of the sound wave in air, at 343 metres per second.
PeriodHow long one cycle of the wave takes, in milliseconds.

What Is Note Frequency?

Note frequency is how fast a musical note vibrates, measured in hertz, or cycles per second. The A above middle C, the usual tuning reference, sits at 440 hertz. Every note has its own frequency, and doubling the frequency raises the pitch by exactly one octave.

Modern instruments use equal temperament, which divides the octave into twelve equal steps called semitones. This lets music play in any key, and it gives each note a precise, repeatable frequency. Knowing that exact number matters whenever you tune an instrument, program a synthesiser, or line up a sound effect with a musical pitch rather than an arbitrary one.

How Does the Frequency Calculation Work?

Formula: frequency = A4 x 2 ^ (semitones from A4 / 12)
  1. Find the note MIDI number from its name and octave.
  2. Subtract 69, the MIDI number of A4, for the semitone distance.
  3. Raise two to that distance divided by twelve.
  4. Multiply by the A4 reference frequency.

Because each semitone multiplies the frequency by the twelfth root of two, twelve semitones exactly double it, which is why an octave up is twice the frequency.

Note Frequency Example

Take middle C, written C4. Its MIDI number is 60, so it is 9 semitones below A4 at MIDI 69. The frequency is 440 times two to the power of minus 9 over 12, which is about 261.63 hertz. Go up an octave to C5 and the frequency doubles to about 523.25 hertz, while its wavelength in air halves.

What Affects a Note Frequency

The Note and Octave

Each step up the scale raises the frequency, and each octave doubles it, so position sets the pitch.

The Tuning Reference

Changing A4 from 440 to another value, such as 432 or 442, shifts every note by the same proportion.

Temperament

Equal temperament spaces semitones evenly; older just or meantone tunings give slightly different frequencies for the same note names.

Air and Wavelength

Frequency stays fixed, but the wavelength depends on the speed of sound, which changes a little with air temperature.

Common Notes Compared

These are the equal-temperament frequencies with A4 at 440 hertz.

NoteFrequencyMIDI
C4 (middle C)261.63 Hz60
A4 (concert pitch)440.00 Hz69
C5523.25 Hz72
E2 (guitar low E)82.41 Hz40

Notice how A5 at 880 hertz is exactly double A4, the clearest sign of the octave relationship.

When to Use a Note Frequency Calculator

Tuning by Ear or Tone

Get the exact hertz value to set a tuner, oscillator or reference tone.

Sound Design

Match a synth oscillator or filter to a musical pitch rather than a round number.

Learning Acoustics

See how notes, octaves and wavelengths relate when studying music or physics.

Common Note Frequency Mistakes

1. Mixing Octave Conventions

Some software calls middle C by C3 or C5; this tool uses scientific pitch, where middle C is C4.

2. Forgetting the Reference

Frequencies only match if the A4 reference is the same, so check whether you are at 440 or another pitch.

3. Assuming Sharps Differ from Flats

In equal temperament, C sharp and D flat are the same frequency.

4. Confusing Frequency and Wavelength

Higher notes have higher frequency but shorter wavelength; they move in opposite directions.

Accuracy and Limitations

The equal-temperament maths is exact, so the frequencies are precise for the standard tuning system. Wavelength assumes a fixed speed of sound.

What it calculates accurately

  • Equal-temperament frequency for any note
  • MIDI note number
  • Wavelength and period at a set speed of sound

What it does not do

  • Model just or meantone temperaments
  • Adjust wavelength for air temperature
  • Account for instrument overtones and inharmonicity

How We Calculate the Result

Method
Equal temperament: frequency equals the A4 reference times two to the power of the semitone distance from A4 over twelve.
Inputs used
Note name, octave and the A4 reference frequency.
Assumptions
Scientific pitch notation (middle C is C4); speed of sound 343 metres per second.
Rounding
Frequency and period to two decimals; wavelength to two decimals.
Edge cases
Octave between -1 and 10; reference defaults to 440 Hz.
Sources
See Sources below.
Last reviewed
2026-09-22.

Frequently Asked Questions

What is the frequency of middle C?

In equal temperament with A4 at 440 Hz, middle C (C4) is about 261.63 hertz. Its MIDI number is 60.

How do you calculate a note frequency?

Multiply the A4 reference by two to the power of the semitone distance from A4 divided by twelve. A4 is 440 Hz, and each octave doubles the frequency.

What is concert pitch?

Concert pitch is the agreed tuning reference, almost always A4 at 440 hertz, which fixes the frequency of every other note.

Why do sharps and flats have the same frequency?

In equal temperament the octave is split into twelve equal semitones, so an enharmonic pair such as C sharp and D flat share one frequency.

What is a MIDI note number?

It is the standard integer that software and keyboards use for each note. Middle C is 60 and A4 is 69, rising by one per semitone.

How does octave affect frequency?

Each octave up doubles the frequency and each octave down halves it, so A3 is 220 Hz and A5 is 880 Hz.

What about 432 Hz tuning?

Setting the A4 reference to 432 lowers every note proportionally. It is a niche alternative to the standard 440 hertz.

How do I find the wavelength of a note?

Divide the speed of sound, about 343 metres per second in air, by the frequency. A 440 Hz note is roughly 0.78 metres long.

Is my data saved?

No. The calculator runs entirely in your browser and nothing you enter is stored or sent anywhere.

Sources

Related Calculators

For music and educational use. Frequencies use standard equal temperament; real instruments have overtones and slight inharmonicity that this ideal model does not capture. Spotted an error? Let us know.

Author

shakeel-Muzaffar
Founder & Editor-in-Chief at  ~ Web ~  More Posts

Shakeel Muzaffar is the Founder and Editor-in-Chief of MultiCalculators.com, bringing over 15 years of experience in digital publishing, product strategy, and online tool development. He leads the platform's editorial vision, ensuring every calculator meets strict standards for accuracy, usability, and real-world value. Shakeel personally oversees content quality, formula verification workflows, and the platform's commitment to publishing tools that are genuinely useful for students, professionals, and everyday users worldwide.