Convert decades to nepers
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Show this value in all 10 ratio & decibels units
- Ratios × 10
- Decibel (power)s dB 10
- Decibel (amplitude)s dB 20
- Bels B 1
- Nepers Np 2.302 585 092 99
- Decades dec 1
- Octaves oct 3.321 928 094 89
- Semitones st 39.863 137 138 6
- Cents ¢ 3986.313 713 86
- Stop (photographic)s EV 3.321 928 094 89
Every row is Decade (dec) converted through the ratio, in exact rational arithmetic.
How to convert decades to nepers
Convert through a plain ratio: decade → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
Decade: A factor of ten. Bode plots are drawn per decade.
Neper: The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).
Decade to Neper conversion table
| Decades (dec) | Nepers (Np) |
|---|---|
| 0 dec | 0 |
| 1 dec | 2.302 585 1 |
| 2 dec | 4.605 170 2 |
| 3 dec | 6.907 755 3 |
| 6 dec | 13.815 511 |
| 10 dec | 23.025 851 |
| 20 dec | 46.051 702 |
| 30 dec | 69.077 553 |
| 40 dec | 92.103 404 |
| 60 dec | 138.155 11 |
| 80 dec | 184.206 81 |
| 100 dec | 230.258 51 |
Neper to Decade conversion table
| Nepers (Np) | Decades (dec) |
|---|---|
| 0 Np | 0 |
| 1 Np | 0.434 294 48 |
| 2 Np | 0.868 588 96 |
| 3 Np | 1.302 883 4 |
| 6 Np | 2.605 766 9 |
| 10 Np | 4.342 944 8 |
| 20 Np | 8.685 889 6 |
| 30 Np | 13.028 834 |
| 40 Np | 17.371 779 |
| 60 Np | 26.057 669 |
| 80 Np | 34.743 559 |
| 100 Np | 43.429 448 |
Frequently asked
How many nepers are in a decade?
One decade equals 2.302585093 nepers (dec → Np).
How do you convert decades to nepers?
Convert through a plain ratio: decade → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
What is 1 Np in decades?
One neper is 0.4342944819 decades.
What is 10 dec in Np?
10 dec = 23.025 851 Np.
What exactly is a decade?
A factor of ten. Bode plots are drawn per decade.
What exactly is a neper?
The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).