Convert octaves to decades

0.301 029 995 664dec
≈ Rounded to 12 s.f. 1 oct ≈ 0.301 029 995 664 dec
As a fraction: 301029995663981195213738894724493026768189881/1000000000000000000000000000000000000000000000
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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 decades

Convert through a plain ratio: octave → ratio → decade. Logarithmic units cannot be converted by multiplying alone.

Octave: A factor of two — in frequency, or in light as a photographic stop.

Decade: A factor of ten. Bode plots are drawn per decade.

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

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

Frequently asked

How many decades are in a octave?

One octave equals 0.3010299957 decades (oct → dec).

How do you convert octaves to decades?

Convert through a plain ratio: octave → ratio → decade. Logarithmic units cannot be converted by multiplying alone.

What is 1 dec in octaves?

One decade is 3.321928095 octaves.

What is 10 oct in dec?

10 oct = 3.0103 dec.

What exactly is a octave?

A factor of two — in frequency, or in light as a photographic stop.

What exactly is a decade?

A factor of ten. Bode plots are drawn per decade.

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