Taking the log of both sides gives:Įxamining the semitone A to B-flat at different points in the range of the piano will illustrate the fact that if expressed in cents, every equal tempered semitone is the same. To calculate the number of cents for any two frequencies, the above relationship must be reversed. This is convenient for calculating the frequency corresponding to a certain number of cents. The fact that one octave is equal to 1200 cents leads one to the power of 2 relationship: If f 1 = Hz and f 2 = Hz then the interval is cents. An octave is then 1200¢ and the other equal tempered intervals can be obtained by adding semitones: Musical intervals are often expressed in cents, a unit of pitch basedupon the equal tempered octave such that one equal tempered semitone is equal to 100 cents. The Use of Cents for Expressing Musical Intervals Cents
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