Convert decades to octaves
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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 octaves
Convert through a plain ratio: decade → ratio → octave. Logarithmic units cannot be converted by multiplying alone.
Decade: A factor of ten. Bode plots are drawn per decade.
Octave: A factor of two — in frequency, or in light as a photographic stop.
Decade to Octave conversion table
| Decades (dec) | Octaves (oct) |
|---|---|
| 0 dec | 0 |
| 1 dec | 3.321 928 1 |
| 2 dec | 6.643 856 2 |
| 3 dec | 9.965 784 3 |
| 6 dec | 19.931 569 |
| 10 dec | 33.219 281 |
| 20 dec | 66.438 562 |
| 30 dec | 99.657 843 |
| 40 dec | 132.877 12 |
| 60 dec | 199.315 69 |
| 80 dec | 265.754 25 |
| 100 dec | 332.192 81 |
Octave to Decade conversion table
| Octaves (oct) | Decades (dec) |
|---|---|
| 0 oct | 0 |
| 1 oct | 0.301 03 |
| 2 oct | 0.602 059 99 |
| 3 oct | 0.903 089 99 |
| 6 oct | 1.806 18 |
| 10 oct | 3.0103 |
| 20 oct | 6.020 599 9 |
| 30 oct | 9.030 899 9 |
| 40 oct | 12.0412 |
| 60 oct | 18.0618 |
| 80 oct | 24.0824 |
| 100 oct | 30.103 |
Frequently asked
How many octaves are in a decade?
One decade equals 3.321928095 octaves (dec → oct).
How do you convert decades to octaves?
Convert through a plain ratio: decade → ratio → octave. Logarithmic units cannot be converted by multiplying alone.
What is 1 oct in decades?
One octave is 0.3010299957 decades.
What is 10 dec in oct?
10 dec = 33.219 281 oct.
What exactly is a decade?
A factor of ten. Bode plots are drawn per decade.
What exactly is a octave?
A factor of two — in frequency, or in light as a photographic stop.