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Music Transposition Calculator

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

Calculated Output

Transposed frequency (Hz) 293.67

Frequency ratio 1.122

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

Step-by-Step Breakdown

1. Values used:

2. Original frequency = 261.63 Hz

3. Transpose by = 2 semitones

5. Transposed frequency = 293.67Hz

6. Frequency ratio = 1.122

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The math behind it

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

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

Why transpose?

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