Convert semitones to nepers
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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 nepers
Convert through a plain ratio: semitone → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
Semitone: Twelve-tone equal temperament: each semitone is the twelfth root of two.
Neper: The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).
Semitone to Neper conversion table
| Semitones (st) | Nepers (Np) |
|---|---|
| 0 st | 0 |
| 1 st | 0.057 762 265 |
| 2 st | 0.115 524 53 |
| 3 st | 0.173 286 8 |
| 6 st | 0.346 573 59 |
| 10 st | 0.577 622 65 |
| 20 st | 1.155 245 3 |
| 30 st | 1.732 868 |
| 40 st | 2.310 490 6 |
| 60 st | 3.465 735 9 |
| 80 st | 4.620 981 2 |
| 100 st | 5.776 226 5 |
Neper to Semitone conversion table
| Nepers (Np) | Semitones (st) |
|---|---|
| 0 Np | 0 |
| 1 Np | 17.312 34 |
| 2 Np | 34.624 681 |
| 3 Np | 51.937 021 |
| 6 Np | 103.874 04 |
| 10 Np | 173.1234 |
| 20 Np | 346.246 81 |
| 30 Np | 519.370 21 |
| 40 Np | 692.493 62 |
| 60 Np | 1038.7404 |
| 80 Np | 1384.9872 |
| 100 Np | 1731.234 |
Frequently asked
How many nepers are in a semitone?
One semitone equals 0.05776226505 nepers (st → Np).
How do you convert semitones to nepers?
Convert through a plain ratio: semitone → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
What is 1 Np in semitones?
One neper is 17.31234049 semitones.
What is 10 st in Np?
10 st = 0.577 622 65 Np.
What exactly is a semitone?
Twelve-tone equal temperament: each semitone is the twelfth root of two.
What exactly is a neper?
The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).