Convert semitones to ratios
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Show this value in all 10 ratio & decibels units
- Ratios × 1.059 463 094 36
- Decibel (power)s dB 0.250 858 329 72
- Decibel (amplitude)s dB 0.501 716 659 44
- Bels B 0.025 085 832 972
- Nepers Np 0.057 762 265 046 7
- Decades dec 0.025 085 832 972
- Octaves oct 0.083 333 333 333 3
- Semitones st 1
- Cents ¢ 100
- Stop (photographic)s EV 0.083 333 333 333 3
Every row is Semitone (st) converted through the ratio, in exact rational arithmetic.
How to convert semitones to ratios
Convert through a plain ratio: semitone → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
Semitone: Twelve-tone equal temperament: each semitone is the twelfth root of two.
Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.
Semitone to Ratio conversion table
| Semitones (st) | Ratios (×) |
|---|---|
| 0 st | 1 |
| 1 st | 1.059 463 1 |
| 2 st | 1.122 462 |
| 3 st | 1.189 207 1 |
| 6 st | 1.414 213 6 |
| 10 st | 1.781 797 4 |
| 20 st | 3.174 802 1 |
| 30 st | 5.656 854 2 |
| 40 st | 10.079 368 |
| 60 st | 32 |
| 80 st | 101.593 67 |
| 100 st | 322.539 79 |
Ratio to Semitone conversion table
| Ratios (×) | Semitones (st) |
|---|---|
| 1 × | 0 |
| 2 × | 12 |
| 3 × | 19.019 55 |
| 5 × | 27.863 137 |
| 10 × | 39.863 137 |
| 20 × | 51.863 137 |
| 25 × | 55.726 274 |
| 50 × | 67.726 274 |
| 100 × | 79.726 274 |
| 250 × | 95.589 411 |
| 500 × | 107.589 41 |
| 1000 × | 119.589 41 |
Frequently asked
How many ratios are in a semitone?
One semitone equals 1.059463094 ratios (st → ×).
How do you convert semitones to ratios?
Convert through a plain ratio: semitone → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
What is 1 × in semitones?
One ratio is 0 semitones.
What is 10 st in ×?
10 st = 1.781 797 4 ×.
What exactly is a semitone?
Twelve-tone equal temperament: each semitone is the twelfth root of two.
What exactly is a ratio?
The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.