Cent: Difference between revisions

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| ja = セント

| ko = 센트

| ro = Centisunet

}}

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.

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.

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=== Monzo to cents ===

To find the size ''s'' of a just interval in cents from its [[monzo]] '''m''' = {{monzo| m1 m2 m3 … }}, left-multiply '''m''' by the [[just tuning map]] in cents TJ = {{val| 1200.000 1901.955 2786.314 … }}

To find the size ''s'' of a just interval in cents from its [[monzo]] '''m''' = {{monzo| m1 m2 m3 … }}, left-multiply '''m''' by the [[just tuning map]] in cents ''T''''J'' = {{val| 1200.000 1901.955 2786.314 … }}

<math>\displaystyle s = T_J \cdot \vec m</math>

@@ Line 5: / Line 5: @@
 | ja = セント
 | ko = 센트
+| ro = Centisunet
 }}
 {{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. 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.
+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.
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 === Monzo to cents ===
-To find the size ''s'' of a just interval in cents from its [[monzo]] '''m''' = {{monzo| m<sub>1</sub> m<sub>2</sub> m<sub>3</sub> … }}, left-multiply '''m''' by the [[just tuning map]] in cents T<sub>J</sub> = {{val| 1200.000 1901.955 2786.314 … }}
+To find the size ''s'' of a just interval in cents from its [[monzo]] '''m''' = {{monzo| m<sub>1</sub> m<sub>2</sub> m<sub>3</sub> … }}, left-multiply '''m''' by the [[just tuning map]] in cents ''T''<sub>''J''</sub> = {{val| 1200.000 1901.955 2786.314 … }}
 <math>\displaystyle s = T_J \cdot \vec m</math>