Convert decades 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 × 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 ratios
Convert through a plain ratio: decade → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
Decade: A factor of ten. Bode plots are drawn per decade.
Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.
Decade to Ratio conversion table
| Decades (dec) | Ratios (×) |
|---|---|
| 0 dec | 1 |
| 1 dec | 10 |
| 2 dec | 100 |
| 3 dec | 1000 |
| 6 dec | 1 000 000 |
| 10 dec | 10 000 000 000 |
| 20 dec | 1e+20 |
| 30 dec | 1e+30 |
| 40 dec | 1e+40 |
| 60 dec | 1e+60 |
| 80 dec | 1e+80 |
| 100 dec | 1e+100 |
Ratio to Decade conversion table
| Ratios (×) | Decades (dec) |
|---|---|
| 1 × | 0 |
| 2 × | 0.301 03 |
| 3 × | 0.477 121 25 |
| 5 × | 0.698 97 |
| 10 × | 1 |
| 20 × | 1.301 03 |
| 25 × | 1.397 94 |
| 50 × | 1.698 97 |
| 100 × | 2 |
| 250 × | 2.397 94 |
| 500 × | 2.698 97 |
| 1000 × | 3 |
Frequently asked
How many ratios are in a decade?
One decade equals 10 ratios (dec → ×).
How do you convert decades to ratios?
Convert through a plain ratio: decade → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
What is 1 × in decades?
One ratio is 0 decades.
What is 10 dec in ×?
10 dec = 10 000 000 000 ×.
What exactly is a decade?
A factor of ten. Bode plots are drawn per decade.
What exactly is a ratio?
The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.