Unlock the secrets of musical intervals with our easy-to-use Semitone Calculator. Simply enter two frequencies to instantly determine the number of semitones separating them, a vital tool for musicians, audio engineers, and students exploring pitch relationships.
Formula:
The number of semitones (N) between two frequencies (F₁ and F₂) is calculated using the formula:
N = 12 × log₂(F₂ / F₁)
Where:
- N = Number of semitones (positive if F₂ > F₁, negative if F₂ < F₁)
- F₂ = The second frequency (in Hertz)
- F₁ = The first frequency (in Hertz)
This formula is derived from the logarithmic relationship between frequency and musical pitch, where an octave (12 semitones) represents a doubling of frequency.