Convert ratios to semitones

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From

0st

≈ Approximate 1 × ≈ 0 st

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Significant digits 12 Round to Notation

Show this value in all 10 ratio & decibels units

Ratios × 1
Decibel (power)s dB 0
Decibel (amplitude)s dB 0
Bels B 0
Nepers Np 0
Decades dec 0
Octaves oct 0
Semitones st 0
Cents ¢ 0
Stop (photographic)s EV 0

Every row is Ratio (×) converted through the ratio, in exact rational arithmetic.

How to convert ratios to semitones

Convert through a plain ratio: ratio → ratio → semitone. Logarithmic units cannot be converted by multiplying alone.

Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.

Semitone: Twelve-tone equal temperament: each semitone is the twelfth root of two.

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

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

Frequently asked

How many semitones are in a ratio?

One ratio equals 0 semitones (× → st).

How do you convert ratios to semitones?

Convert through a plain ratio: ratio → ratio → semitone. Logarithmic units cannot be converted by multiplying alone.

What is 1 st in ratios?

One semitone is 1.059463094 ratios.

What is 10 × in st?

10 × = 39.863 137 st.

What exactly is a ratio?

The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.

What exactly is a semitone?

Twelve-tone equal temperament: each semitone is the twelfth root of two.