Convert octaves to nepers
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Show this value in all 10 ratio & decibels units
- Ratios × 2
- Decibel (power)s dB 3.010 299 956 64
- Decibel (amplitude)s dB 6.020 599 913 28
- Bels B 0.301 029 995 664
- Nepers Np 0.693 147 180 56
- Decades dec 0.301 029 995 664
- Octaves oct 1
- Semitones st 12
- Cents ¢ 1200
- Stop (photographic)s EV 1
Every row is Octave (oct) converted through the ratio, in exact rational arithmetic.
How to convert octaves to nepers
Convert through a plain ratio: octave → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
Octave: A factor of two — in frequency, or in light as a photographic stop.
Neper: The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).
Octave to Neper conversion table
| Octaves (oct) | Nepers (Np) |
|---|---|
| 0 oct | 0 |
| 1 oct | 0.693 147 18 |
| 2 oct | 1.386 294 4 |
| 3 oct | 2.079 441 5 |
| 6 oct | 4.158 883 1 |
| 10 oct | 6.931 471 8 |
| 20 oct | 13.862 944 |
| 30 oct | 20.794 415 |
| 40 oct | 27.725 887 |
| 60 oct | 41.588 831 |
| 80 oct | 55.451 774 |
| 100 oct | 69.314 718 |
Neper to Octave conversion table
| Nepers (Np) | Octaves (oct) |
|---|---|
| 0 Np | 0 |
| 1 Np | 1.442 695 |
| 2 Np | 2.885 390 1 |
| 3 Np | 4.328 085 1 |
| 6 Np | 8.656 170 2 |
| 10 Np | 14.426 95 |
| 20 Np | 28.853 901 |
| 30 Np | 43.280 851 |
| 40 Np | 57.707 802 |
| 60 Np | 86.561 702 |
| 80 Np | 115.4156 |
| 100 Np | 144.2695 |
Frequently asked
How many nepers are in a octave?
One octave equals 0.6931471806 nepers (oct → Np).
How do you convert octaves to nepers?
Convert through a plain ratio: octave → ratio → neper. Logarithmic units cannot be converted by multiplying alone.
What is 1 Np in octaves?
One neper is 1.442695041 octaves.
What is 10 oct in Np?
10 oct = 6.931 471 8 Np.
What exactly is a octave?
A factor of two — in frequency, or in light as a photographic stop.
What exactly is a neper?
The natural-log counterpart to the decibel. 1 Np ≈ 8.686 dB (amplitude).