Convert cents 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 × 1.000 577 789 51
- Decibel (power)s dB 0.002 508 583 297 2
- Decibel (amplitude)s dB 0.005 017 166 594 4
- Bels B 0.000 250 858 329 72
- Nepers Np 0.000 577 622 650 467
- Decades dec 0.000 250 858 329 72
- Octaves oct 0.000 833 333 333 333
- Semitones st 0.01
- Cents ¢ 1
- Stop (photographic)s EV 0.000 833 333 333 333
Every row is Cent (¢) converted through the ratio, in exact rational arithmetic.
How to convert cents to ratios
Convert through a plain ratio: cent → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
Cent: A hundredth of a semitone. Around 5 cents is the smallest pitch difference most people hear.
Ratio: The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.
Cent to Ratio conversion table
| Cents (¢) | Ratios (×) |
|---|---|
| 0 ¢ | 1 |
| 1 ¢ | 1.000 577 8 |
| 2 ¢ | 1.001 155 9 |
| 3 ¢ | 1.001 734 4 |
| 6 ¢ | 1.003 471 7 |
| 10 ¢ | 1.005 792 9 |
| 20 ¢ | 1.011 619 4 |
| 30 ¢ | 1.017 479 7 |
| 40 ¢ | 1.023 373 9 |
| 60 ¢ | 1.035 264 9 |
| 80 ¢ | 1.047 294 1 |
| 100 ¢ | 1.059 463 1 |
Ratio to Cent conversion table
| Ratios (×) | Cents (¢) |
|---|---|
| 1 × | 0 |
| 2 × | 1200 |
| 3 × | 1901.955 |
| 5 × | 2786.3137 |
| 10 × | 3986.3137 |
| 20 × | 5186.3137 |
| 25 × | 5572.6274 |
| 50 × | 6772.6274 |
| 100 × | 7972.6274 |
| 250 × | 9558.9411 |
| 500 × | 10 758.941 |
| 1000 × | 11 958.941 |
Frequently asked
How many ratios are in a cent?
One cent equals 1.00057779 ratios (¢ → ×).
How do you convert cents to ratios?
Convert through a plain ratio: cent → ratio → ratio. Logarithmic units cannot be converted by multiplying alone.
What is 1 × in cents?
One ratio is 0 cents.
What is 10 ¢ in ×?
10 ¢ = 1.005 792 9 ×.
What exactly is a cent?
A hundredth of a semitone. Around 5 cents is the smallest pitch difference most people hear.
What exactly is a ratio?
The plain multiplier every logarithmic unit here converts through. Read a decibel figure as an encoding of this number.