Comparing intervals using cents

We will later explain how to calculate cents, for now, we will give an example of interval comparison using cents.

Temeperament C4 E4 Cents  
Major third, Pitagorean tuning 260 329.06 408
Major third, just intonation 260 325 386

There's a 22 cents difference (408 - 386 = 22) between the thirds (thanks to the magic of cents, we calculate the difference by subtracting). In equal temperament, a half step has 100 cents. Therefore, the difference between thirds is almost 1/4 semitone. The use of cents helps to visualize the difference between the intervals.

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