Pitch / Semitone Ratio Calculator

Convert semitones to a frequency ratio, cents, and a resulting pitch — for transposition, tuning, and synthesizer work.

How to use the Pitch / Semitone Ratio Calculator

  1. Enter your valuesChoose what you know — semitones, cents, a frequency ratio or a playback-speed percentage — and enter it, plus an optional starting frequency.
  2. Read the results instantlyThe other three values and the interval name appear instantly.
  3. Copy or sharePress the copy icon on any result card, or use Copy link to these values — the page URL stores your inputs so you can bookmark or send the exact calculation.

About the Pitch / Semitone Ratio Calculator

The Pitch Semitone Ratio Calculator converts between semitones, cents, frequency ratios and tape-style playback speed. Shifting a recording up 2 semitones multiplies every frequency by 1.1225; a record played 5% fast rises 0.84 semitones. This calculator gives you those numbers directly.

Type a starting frequency to see the shifted pitch and its note name.

How the Pitch / Semitone Ratio Calculator works

One semitone is a frequency ratio of 2^(1/12) ≈ 1.05946; one octave (12 semitones) is exactly ×2. So ratio = 2^(semitones/12), semitones = 12·log₂(ratio), and cents = semitones × 100. For tape-style speed changes pitch and tempo move together, so speed % = ratio × 100.

ratio = 2^(semitones ÷ 12) · semitones = 12·log₂(ratio)

What people use it for

Pitch shifting

Know the ratio for +/− semitones.

Sampling

Retune samples.

Vinyl & tape

Speed errors in pitch terms.

Transposing

Understand interval sizes.

Tips for the best results

  • +12 semitones doubles the frequency; −12 halves it.
  • A 1% speed change is about 17 cents.
  • Use the Pitch Changer to apply what you calculate.

Common problems & fixes

Ratio must be above 0Enter a positive number.
Interval name looks odd for fractionsIt rounds to the nearest whole semitone.

Quick facts

ConversionsSemitones ↔ cents ↔ ratio ↔ speed %
ExtrasStarting-frequency result with note name

Frequently asked questions

How many cents is a 5% speed-up?

About 84.5 cents (0.845 semitones).

What ratio is a perfect fifth?

2^(7/12) ≈ 1.4983 in equal temperament.

What's the formula being used?

ratio = 2^(semitones/12) — the standard equal-tempered tuning formula, where 12 semitones (one octave) exactly doubles the frequency.

What are 'cents'?

A cent is 1/100th of a semitone — a finer unit used for describing very small tuning differences.

Your audio never leaves your device

This tool runs entirely in your browser using the Web Audio API. Nothing is uploaded, stored or shared — there is no server to send your file to, so it works offline once the page has loaded.

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