Frequency ratio to cents
Type a value in × to get it in ¢ instantly.
11,341.45¢
That's 350× as wide as an octave — nothing on our list beats it. That is a frequency ratio of about 700.
What it means
How wide is that interval?
Cents describe intervals, not pitches. A note needs a reference — usually A = 440 Hz — before an interval becomes a frequency.
The math
How to convert × to ¢
Cents are a logarithm of the ratio: cents = 1200 × log₂(ratio), and back again ratio = 2^(cents ÷ 1200). Adding cents multiplies ratios.
Example: 700 × = 11,341.5 ¢.
Every unit
Your interval in every unit
Tables
× to ¢ conversion table
| × | ¢ |
|---|---|
| 1 × | 0 ¢ |
| 10 × | 3,986.31 ¢ |
| 50 × | 6,772.63 ¢ |
| 100 × | 7,972.63 ¢ |
| 200 × | 9,172.63 ¢ |
| 386 × | 10,310.9 ¢ |
| 498 × | 10,752 ¢ |
| 700 × | 11,341.5 ¢ |
| 702 × | 11,346.4 ¢ |
| 1,200 × | 12,274.6 ¢ |
| 2,400 × | 13,474.6 ¢ |
¢ to × conversion table
| ¢ | × |
|---|---|
| 1 ¢ | 1.00058 × |
| 10 ¢ | 1.00579 × |
| 50 ¢ | 1.0293 × |
| 100 ¢ | 1.05946 × |
| 200 ¢ | 1.12246 × |
| 386 ¢ | 1.24977 × |
| 498 ¢ | 1.3333 × |
| 700 ¢ | 1.49831 × |
| 702 ¢ | 1.50004 × |
| 1,200 ¢ | 2 × |
| 2,400 ¢ | 4 × |
Quick answers
Quick answers
- How many ¢ is 1 ×?
- 1 × is 0 ¢.
- How many ¢ is 10 ×?
- 10 × is 3,986.31 ¢.
- How many ¢ is 700 ×?
- 700 × is 11,341.5 ¢.
The units
About these units
Frequency ratio (×)
The actual ratio between the two frequencies.
Cents (¢)
Hundredths of a semitone: 1,200 to the octave.
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