Cent: Difference between revisions

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{{Wikipedia|Cent (music)}}
{{Wikipedia|Cent (music)}}
The '''cent''' (symbol: '''¢''') is a [[unit of interval size]] equal to exactly 1/100th (or 1%) of a [[12edo]] semitone. In other words, cents divide the half step (semitone) of 12edo into 100 equal parts.
The '''cent''' (symbol: '''¢''') is a [[unit of interval size]] equal to exactly 1/100th (or 1%) of a [[12edo]] semitone. In other words, cents divide the half step (semitone) of 12edo into 100 equal parts. First proposed in the late 19th century by {{w|Alexander John Ellis|Alexander J. Ellis}}, the cent may also be defined as the {{w|logarithm}} base 1200th root of 2 of a ratio.


Cents are often used to express the size of intervals in different tuning systems, sometimes to express the accuracy of the representation of a [[just intonation]] [[interval]] in a given system.
Cents are often used to express the size of intervals in different tuning systems, sometimes to express the accuracy of the representation of a [[just intonation]] [[interval]] in a given system.
The cent, which was first proposed in the late 19th century by [[Wikipedia:Alexander John Ellis|Alexander J. Ellis]], is a logarithmic measure which may also be defined as the [[Wikipedia:Logarithm|logarithm]] to the base 1200th root of 2.


== Examples ==
== Examples ==