Frequência equal temperament

f = 440 × 2^((n-69)/12).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Frequência (Hz)
440,00

Formula

f = 440·2^((n-69)/12)

About this calculator

The Equal Temperament Frequency calculator is a useful tool for musicians and music enthusiasts who want to understand how musical note frequencies are calculated in the equal temperament system. This system is widely used in Western music and divides the octave into 12 equal semitones.

The formula used is f = 440 × 2^((n-69)/12), where f is the frequency of the note and n is the note number. The reference frequency is 440 Hz, which corresponds to the note A4. From this reference, it is possible to calculate the frequencies of the other notes using the formula.

This system is important because it allows musical notes to be played on different instruments and still sound harmonious with each other. However, it is essential to be careful when using this calculator, as small variations in frequencies can affect auditory perception.

A practical example of using this calculator is when a musician wants to transpose a song to a different key. With the help of the calculator, it is possible to determine the correct frequencies of the notes in the new key, ensuring that the music sounds tuned and harmonious.

Frequently asked questions

What is the equal temperament system?

The equal temperament system is a musical tuning method that divides the octave into 12 equal semitones, allowing musical notes to be played on different instruments and still sound harmonious with each other.

What is the reference frequency used in the calculator?

The reference frequency used is 440 Hz, which corresponds to the note A4.

How can I use the calculator to transpose a song?

Just enter the note number corresponding to the new key and the calculator will provide the correct frequency of the note.

What are the precautions when using this calculator?

Small variations in frequencies can affect auditory perception, so it's essential to use the calculator with precision.

Is the calculator only useful for professional musicians?

No, the calculator is useful for anyone who wants to understand how musical note frequencies are calculated, including music students and enthusiasts.

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