Convert semitones to ratios

1.059 463 094 36×
≈ Rounded to 12 s.f. 1 st ≈ 1.059 463 094 36 ×
As a fraction: 1059463094359295264561825294946341700779204317/1000000000000000000000000000000000000000000000

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.

Related conversions