Convert nepers to ratios
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Ranges, ± tolerances, feet/inches and clock durations work in the value field.
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Show this value in all 10 ratio & decibels units
- Ratios × 2.718 281 828 46
- Decibel (power)s dB 4.342 944 819 03
- Decibel (amplitude)s dB 8.685 889 638 07
- Bels B 0.434 294 481 903
- Nepers Np 1
- Decades dec 0.434 294 481 903
- Octaves oct 1.442 695 040 89
- Semitones st 17.312 340 490 7
- Cents ¢ 1731.234 049 07
- Stop (photographic)s EV 1.442 695 040 89
Every row is Neper (Np) converted through the ratio, in exact rational arithmetic.
How to convert nepers to ratios
Convert through a plain ratio: neper → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
Neper: The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).
Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.
Neper to Ratio conversion table
| Nepers (Np) | Ratios (×) |
|---|---|
| 0 Np | 1 |
| 1 Np | 2.718 281 8 |
| 2 Np | 7.389 056 1 |
| 3 Np | 20.085 537 |
| 6 Np | 403.428 79 |
| 10 Np | 22 026.466 |
| 20 Np | 485 165 200 |
| 30 Np | 10 686 475 000 000 |
| 40 Np | 2.3538527e+17 |
| 60 Np | 1.1420074e+26 |
| 80 Np | 5.5406224e+34 |
| 100 Np | 2.6881171e+43 |
Ratio to Neper conversion table
| Ratios (×) | Nepers (Np) |
|---|---|
| 1 × | 0 |
| 2 × | 0.693 147 18 |
| 3 × | 1.098 612 3 |
| 5 × | 1.609 437 9 |
| 10 × | 2.302 585 1 |
| 20 × | 2.995 732 3 |
| 25 × | 3.218 875 8 |
| 50 × | 3.912 023 |
| 100 × | 4.605 170 2 |
| 250 × | 5.521 460 9 |
| 500 × | 6.214 608 1 |
| 1000 × | 6.907 755 3 |
Frequently asked
How many ratios are in a neper?
One neper equals 2.718281828 ratios (Np → ×).
How do you convert nepers to ratios?
Convert through a plain ratio: neper → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
What is 1 × in nepers?
One ratio is 0 nepers.
What is 10 Np in ×?
10 Np = 22 026.466 ×.
What exactly is a neper?
The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).
What exactly is a ratio?
The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.