Relative cent: Difference between revisions

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Given any N [[EDO]], the size of an interval in ''relative cents'' is N/12 times its size in [[cent]]s; or equivalently, 100 N times its logarithm base 2. Hence in [[7edo]], the octave is 700 relative cents, in [[53edo]], 5300 relative cents and so forth.

An existing example is the [[turkish cent]], which is the relative cent of [[106edo]]. The iota, the relative cent for [[17edo]], has been proposed by [[George Secor]] and [[Margo Schulter]] for use with 17edo, and [[Tútim_Dennsuul_Wafiil|Tútim Dennsuul]] has advocated the [[purdal]], which divides the octave into 9900 parts (being relative cents of [[99edo]]). The [[millioctave]] is another such measure, as it can be viewed as the relative cent measure for [[10edo]].

An existing example is the [[turkish cent]], which is the relative cent of [[106edo]]. The iota, the relative cent for [[17edo]], has been proposed by [[George Secor]] and [[Margo Schulter]] for use with 17edo, and [[Tútim_Dennsuul_Wafiil|Tútim Dennsuul]] has advocated the [[purdal]], which divides the octave into 9900 parts (being relative cents of [[99edo]]). The [[millioctave]] is another such measure, as it can be viewed as the relative cent measure for [[10edo]]. The sat, for use with Armodue, divides the octave into 1600 parts (Armodue being a theory of [[16edo]]).

== Relative Error ==

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 Given any N [[EDO]], the size of an interval in ''relative cents'' is N/12 times its size in [[cent]]s; or equivalently, 100 N times its logarithm base 2. Hence in [[7edo]], the octave is 700 relative cents, in [[53edo]], 5300 relative cents and so forth.
-An existing example is the [[turkish cent]], which is the relative cent of [[106edo]]. The iota, the relative cent for [[17edo]], has been proposed by [[George Secor]] and [[Margo Schulter]] for use with 17edo, and [[Tútim_Dennsuul_Wafiil|Tútim Dennsuul]] has advocated the [[purdal]], which divides the octave into 9900 parts (being relative cents of [[99edo]]). The [[millioctave]] is another such measure, as it can be viewed as the relative cent measure for [[10edo]].
+An existing example is the [[turkish cent]], which is the relative cent of [[106edo]]. The iota, the relative cent for [[17edo]], has been proposed by [[George Secor]] and [[Margo Schulter]] for use with 17edo, and [[Tútim_Dennsuul_Wafiil|Tútim Dennsuul]] has advocated the [[purdal]], which divides the octave into 9900 parts (being relative cents of [[99edo]]). The [[millioctave]] is another such measure, as it can be viewed as the relative cent measure for [[10edo]]. The sat, for use with Armodue, divides the octave into 1600 parts (Armodue being a theory of [[16edo]]).
 == Relative Error ==