10 units · base unit × · 1
Ratio & decibels converter
These are the logarithmic units. Everything here converts through a plain power ratio, computed at 50-digit precision — a decibel is not a rational number, so this is the one corner of the site where the arithmetic is high-precision rather than exact.
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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 × 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.
Common ratio & decibels conversions
- × → dB
- × → dB
- × → Np
- × → dec
- × → oct
- × → st
- × → ¢
- × → EV
- dB → ×
- dB → dB
- dB → Np
- dB → dec
- dB → oct
- dB → st
- dB → ¢
- dB → EV
- dB → ×
- dB → dB
- dB → Np
- dB → dec
- dB → oct
- dB → st
- dB → ¢
- dB → EV
- Np → ×
- Np → dB
- Np → dB
- Np → dec
- Np → oct
- Np → st
- Np → ¢
- Np → EV
- dec → ×
- dec → dB
- dec → dB
- dec → Np
- dec → oct
- dec → st
- dec → ¢
- dec → EV
- oct → ×
- oct → dB
- oct → dB
- oct → Np
- oct → dec
- oct → st
- oct → ¢
- oct → EV
- st → ×
- st → dB
- st → dB
- st → Np
- st → dec
- st → oct
- st → ¢
- st → EV
- ¢ → ×
- ¢ → dB
- ¢ → dB
- ¢ → Np
All ratio & decibels units
Each unit expressed in ratios (×), the unit everything in this category converts through.
| Unit | Symbol | System | Value in × |
|---|---|---|---|
| Ratio | × | other | 1 |
| Decibel (power) | dB | other | — |
| Decibel (amplitude) | dB | other | — |
| Bel | B | other | — |
| Neper | Np | other | — |
| Decade | dec | other | — |
| Octave | oct | other | — |
| Semitone | st | other | — |
| Cent | ¢ | other | — |
| Stop (photographic) | EV | other | — |
About ratio & decibels units
Convert decibels, nepers, octaves, semitones, cents and photographic stops to plain ratios.
These are the logarithmic units. Everything here converts through a plain power ratio, computed at 50-digit precision — a decibel is not a rational number, so this is the one corner of the site where the arithmetic is high-precision rather than exact.
Dimensional formula: 1. Every conversion on this page goes through the ratio, using exact fractions rather than decimal approximations. Read how that works →