Frequency ratio to semitones
Type a value in × to get it in semitones instantly.
113.4semitones
That's 350× as wide as an octave — nothing on our list beats it. That is a frequency ratio of about 700.
What it means
How wide is that interval?
Cents describe intervals, not pitches. A note needs a reference — usually A = 440 Hz — before an interval becomes a frequency.
The math
How to convert × to semitones
Cents are a logarithm of the ratio: cents = 1200 × log₂(ratio), and back again ratio = 2^(cents ÷ 1200). Adding cents multiplies ratios.
Example: 700 × = 113.415 semitones.
Every unit
Your interval in every unit
Tables
× to semitones conversion table
| × | semitones |
|---|---|
| 1 × | 0 semitones |
| 10 × | 39.8631 semitones |
| 50 × | 67.7263 semitones |
| 100 × | 79.7263 semitones |
| 200 × | 91.7263 semitones |
| 386 × | 103.109 semitones |
| 498 × | 107.52 semitones |
| 700 × | 113.415 semitones |
| 702 × | 113.464 semitones |
| 1,200 × | 122.746 semitones |
| 2,400 × | 134.746 semitones |
semitones to × conversion table
| semitones | × |
|---|---|
| 1 semitones | 1.05946 × |
| 10 semitones | 1.7818 × |
| 50 semitones | 17.9594 × |
| 100 semitones | 322.54 × |
| 200 semitones | 104,032 × |
| 386 semitones | 4.821×10⁹ × |
| 498 semitones | 3.11×10¹² × |
| 700 semitones | 3.631×10¹⁷ × |
| 702 semitones | 4.076×10¹⁷ × |
| 1,200 semitones | 1.268×10³⁰ × |
| 2,400 semitones | 1.607×10⁶⁰ × |
Quick answers
Quick answers
- How many semitones is 1 ×?
- 1 × is 0 semitones.
- How many semitones is 10 ×?
- 10 × is 39.8631 semitones.
- How many semitones is 700 ×?
- 700 × is 113.415 semitones.
The units
About these units
Frequency ratio (×)
The actual ratio between the two frequencies.
Semitones (semitones)
A hundred cents each, the step between two piano keys.
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