Music Transposition Calculator

Transpose a note's frequency by a number of semitones.

Transposed frequency (Hz) 293.67
Frequency ratio 1.122

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

Step-by-step with your numbers:
1. Values used:
2. Original frequency = 261.63 Hz
3. Transpose by = 2 semitones
4.
5. Transposed frequency = 293.67Hz
6. Frequency ratio = 1.122
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Transposing shifts every note up or down by the same interval.

The math behind it

Multiply each frequency by 2^(semitones / 12). Positive shifts raise pitch, negative lowers it.

Worked example

Middle C (261.63 Hz) up 2 semitones gives D at about 293.66 Hz.

FAQ

Why transpose?

To match a singer's range or a different instrument's key.