Semitone Calculator

Find the frequency a number of semitones away.

New frequency (Hz) 659.26
Interval (cents) 700

Formula: f = start * 2^(semitones / 12)

Step-by-step with your numbers:
1. Values used:
2. Starting frequency = 440 Hz
3. Semitones = 7
4.
5. New frequency = 659.26Hz
6. Interval = 700cents
Did we solve your problem today?

Each semitone multiplies frequency by the twelfth root of two.

The math behind it

new frequency = start x 2^(semitones / 12). Twelve semitones make an octave (double the frequency).

Worked example

440 Hz up 7 semitones (a fifth) is about 659.3 Hz.

FAQ

What is a cent?

1/100 of a semitone, used for fine tuning.