Convert decibel (power)s to cents

398.631 371 386¢
≈ Rounded to 12 s.f. 1 dB ≈ 398.631 371 386 ¢
As a fraction: 996578428466208704361095828846817052759449417/2500000000000000000000000000000000000000000
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Show this value in all 10 ratio & decibels units
  • Ratios × 1.258 925 411 79
  • Decibel (power)s dB 1
  • Decibel (amplitude)s dB 2
  • Bels B 0.1
  • Nepers Np 0.230 258 509 299
  • Decades dec 0.1
  • Octaves oct 0.332 192 809 489
  • Semitones st 3.986 313 713 86
  • Cents ¢ 398.631 371 386
  • Stop (photographic)s EV 0.332 192 809 489

Every row is Decibel (power) (dB) converted through the ratio, in exact rational arithmetic.

How to convert decibel (power)s to cents

Convert through a plain ratio: decibel (power) → ratio → cent. Logarithmic units cannot be converted by multiplying alone.

Decibel (power): Ten times the base-10 log of a power ratio. 3 dB is roughly double the power.

Cent: A hundredth of a semitone. Around 5 cents is the smallest pitch difference most people hear.

Decibel (power) to Cent conversion table

Decibel (power)s (dB) Cents (¢)
0 dB 0
1 dB 398.631 37
2 dB 797.262 74
3 dB 1195.8941
6 dB 2391.7882
10 dB 3986.3137
20 dB 7972.6274
30 dB 11 958.941
40 dB 15 945.255
60 dB 23 917.882
80 dB 31 890.51
100 dB 39 863.137

Cent to Decibel (power) conversion table

Cents (¢) Decibel (power)s (dB)
0 ¢ 0
1 ¢ 0.002 508 583 3
2 ¢ 0.005 017 166 6
3 ¢ 0.007 525 749 9
6 ¢ 0.015 051 5
10 ¢ 0.025 085 833
20 ¢ 0.050 171 666
30 ¢ 0.075 257 499
40 ¢ 0.100 343 33
60 ¢ 0.150 515
80 ¢ 0.200 686 66
100 ¢ 0.250 858 33

Frequently asked

How many cents are in a decibel (power)?

One decibel (power) equals 398.6313714 cents (dB → ¢).

How do you convert decibel (power)s to cents?

Convert through a plain ratio: decibel (power) → ratio → cent. Logarithmic units cannot be converted by multiplying alone.

What is 1 ¢ in decibel (power)s?

One cent is 0.002508583297 decibel (power)s.

What is 10 dB in ¢?

10 dB = 3986.3137 ¢.

What exactly is a decibel (power)?

Ten times the base-10 log of a power ratio. 3 dB is roughly double the power.

What exactly is a cent?

A hundredth of a semitone. Around 5 cents is the smallest pitch difference most people hear.

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