A unit of measure of the width of a musical interval
, equal to 1/100 of a semitone
a whole tone
. You can find the number of cents in a just intonation interval
from the frequency ratio
by this formula:
cents = log(ratio) / log(2) * 1200
Thus the octave, ratio 2/1, measures 1200 cents, which makes sense because it is equal to twelve equal tempered semitones each 100 cents.