convertimate Musical intervals

Cents to percent change

Type a value in ¢ to get it in % instantly.

49.83%

That's about the same as a pure fifth. That is a frequency ratio of about 1.5.

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 ¢ = 49.8307 %.

Every unit

Your interval in every unit

Tables

¢ to % conversion table

¢ to % conversion table
¢%
1 ¢0.057779 %
10 ¢0.579294 %
50 ¢2.93022 %
100 ¢5.94631 %
200 ¢12.2462 %
386 ¢24.9774 %
498 ¢33.3299 %
700 ¢49.8307 %
702 ¢50.0039 %
1,200 ¢100 %
2,400 ¢300 %
% to ¢ conversion table
% to ¢ conversion table
%¢
1 %17.2264 ¢
10 %165.004 ¢
50 %701.955 ¢
100 %1,200 ¢
200 %1,901.96 ¢
386 %2,737.15 ¢
498 %3,096.17 ¢
700 %3,600 ¢
702 %3,604.32 ¢
1,200 %4,440.53 ¢
2,400 %5,572.63 ¢

Quick answers

Quick answers

How many % is 1 ¢?
1 ¢ is 0.057779 %.
How many % is 10 ¢?
10 ¢ is 0.579294 %.
How many % is 700 ¢?
700 ¢ is 49.8307 %.

The units

About these units

Cents (¢)

Hundredths of a semitone: 1,200 to the octave.

Percent change (%)

How much higher the frequency is, as a percentage.

Learn more about interval units

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