Music

Note Frequency Calculator

Convert any musical note to its frequency in Hz. Includes cents adjustment for fine tuning, alternate concert pitches, and MIDI numbers.

Quick Answer

frequency = A4 × 2^((MIDI − 69)/12). With A4 = 440 Hz, middle C (C4) = 261.63 Hz, A5 = 880 Hz, E2 (low E on guitar) = 82.41 Hz. Each octave up doubles the frequency.

Pick a Note

Note

Octave

A4 (Hz)

Cents

A4

440.00 Hz

MIDI #

69

Period

2.273 ms

Wavelength

0.78 m

All Notes in Octave 4

NoteFrequency (Hz)
C4261.63
C#4277.18
D4293.66
D#4311.13
E4329.63
F4349.23
F#4369.99
G4392.00
G#4415.30
A4440.00
A#4466.16
B4493.88

About This Tool

The Note Frequency Calculator converts any musical note to its precise frequency in hertz (Hz). It uses equal temperament tuning with a configurable concert pitch (default A4 = 440 Hz) and supports cents-level fine adjustments for non-standard tunings. Pick a note and octave, optionally tweak the A4 reference or add cents, and you get the frequency, MIDI number, wave period, and physical wavelength.

The Math Behind the Frequency

Equal temperament divides every octave into 12 equal semitones. Mathematically, each semitone is a frequency ratio of the twelfth root of two (about 1.05946). The formula for any note's frequency, using A4 as the anchor, is: frequency = A4 × 2^((MIDI_number − 69) / 12). MIDI 69 is A4. MIDI 60 is middle C. Subtract 12 to drop an octave; add 12 to raise an octave. Each integer step is a semitone.

Common Note Frequencies

A few frequencies worth memorizing: A4 = 440 Hz (concert pitch). C4 (middle C) = 261.63 Hz. E2 (low E on guitar) = 82.41 Hz. E4 (high E on guitar) = 329.63 Hz. The piano's lowest note A0 = 27.5 Hz, and the highest note C8 = 4186 Hz. Human hearing tops out around 20,000 Hz (less for adults), so the upper register of music is mostly perceived through harmonics and overtones rather than fundamental frequency.

Concert Pitch History

Before 1955, A4 was inconsistent. Baroque musicians used 415 Hz (a semitone below modern). Many 18th-century European orchestras tuned to 422 Hz. By the late 19th century, pitches had crept up to 435-460 Hz. ISO 16 standardized A4 = 440 Hz internationally. Some orchestras (especially in Germany and Austria) tune slightly sharp at 442-443 Hz for brilliance. Period instrument groups still use 415 Hz for baroque or 430 Hz for classical-era repertoire.

Cents and Fine Tuning

One cent is 1/100 of a semitone. A trained ear can hear about 5 cents in isolation and 2-3 cents in tuned chords. Synthesizer detuning often uses 5-15 cents to fatten unison voices. The natural just-intonation major 3rd is about 14 cents flat compared to equal temperament. Use the cents field to model these effects: enter ±10 cents to hear what a slightly detuned voice would sound like, or enter −14 to compute a just-tuned major 3rd.

Wavelength and Acoustics

Wavelength is the physical length of one full cycle in air, calculated as speed of sound (≈343 m/s) divided by frequency. Low frequencies have long wavelengths and need physical space to fully develop, which is why subwoofers behave differently in small rooms than large ones. Knowing wavelengths helps with room treatment, speaker placement, and even the design of woodwind and brass instruments.

Pair With Other Tools

Use this calculator alongside our Music Interval Calculator to compute interval ratios, the Chord Progression Builder for harmonic context, the Circle of Fifths Tool for key relationships, the Tap Tempo BPM for finding song tempos, or the BPM to Delay Calculator for tempo-synced effects.

Frequently Asked Questions

How is a note's frequency calculated?
In equal temperament, each semitone is a frequency ratio of 2^(1/12). The formula for any note is: frequency = A4 × 2^((MIDI - 69) / 12), where MIDI is the standard MIDI note number (A4 = 69). With A4 at the standard 440 Hz, A5 is 880 Hz (one octave up), A3 is 220 Hz (one octave down), and middle C (C4) is about 261.63 Hz.
Why is A4 set to 440 Hz?
A4 = 440 Hz became the international standard pitch in 1955 (ISO 16). Before that, concert pitch varied by region and ensemble — anywhere from 415 Hz (baroque) to 466 Hz (some 19th-century orchestras). Many baroque ensembles still tune to 415 Hz for period authenticity. Some modern orchestras (notably the Berlin Philharmonic) tune slightly sharp at 442-443 Hz for a brighter sound.
What is a cent and how do I use it?
A cent is 1/100 of a semitone, or about 1/1200 of an octave. It's the unit musicians use to measure small pitch differences. A trained ear can detect about 5 cents in isolation, and 2-3 cents in carefully tuned harmony. Use the cents field to compute frequencies for slightly detuned notes — useful for unison detuning, chorus effects, or matching the tuning of an out-of-tune piano.
What does the wavelength field tell me?
Wavelength is the physical length of one cycle of the sound wave in air (assuming 343 m/s, the speed of sound at 20°C). A 440 Hz wave is about 78 cm long; a 80 Hz bass note is over 4 meters long. Wavelength matters for room acoustics: low frequencies need more space to develop, which is why bass response is uneven in small rooms.
What's a MIDI note number?
MIDI notes are integers from 0 to 127 that represent every pitch, with A4 = 69 by convention. Middle C (C4) is 60. Each semitone up adds 1. MIDI numbers are how synthesizers, DAWs, and notation software internally represent pitch. The full keyboard piano range (A0 to C8) corresponds to MIDI notes 21 to 108.