Semitones & Pitch Intervals

Convert pitch ratios to semitones and cents, and calculate frequency intervals.

Interval to Frequency Ratio

Standard Equal Temperament Presets
Frequency Multiplier Result
If base pitch is Freq (Hz):New Pitch = Base × Ratio
Frequency Ratio ➔ IntervalCalculate musical interval distance from raw frequency ratio
Pitch Distance
7 semitones, +2 cents
📐 PITCH FORMULAS:- Ratio to Interval: $Interval = 12 \times \log_2(Ratio)$ semitones
- Interval to Ratio: $Ratio = 2^((Semitones + Cents/100)/12)$
- 1 Octave always equates to a 2.0 ratio. A Perfect Fifth represents approx 1.498 ratio in equal temperament, and exactly 1.5 in pure Pythagorean tuning.

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