Relative cent: Difference between revisions
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'''Relative cent''' ('''rct''', '''r¢''', '''¢<sub>EDO</sub>''') is a logarithmic [[interval size measure]] based on a given [[equal]]-stepped tonal system (especially [[EDO]] systems). In being the size of 1 percent of the distance between adjacent pitches, it is the generalization of the [[common cent]] (¢). | '''Relative cent''' ('''rct''', '''r¢''', '''¢<sub>EDO</sub>''') is a logarithmic [[interval size measure]] based on a given [[equal]]-stepped tonal system (especially [[EDO]] systems). In being the size of 1 percent of the distance between adjacent pitches, it is the generalization of the [[common cent]] (¢). | ||
The term ''centidegree'' was suggested as an alias, but this seems to be used already as a unit for temperature. | |||
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. | 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. | ||
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* [[Relative error]] -- a measure for mapping quality | * [[Relative error]] -- a measure for mapping quality | ||
* [[Relative cent/Problem]] -- a WIP article that aims to show the shortcomings of the relative cent | * [[Relative cent/Problem]] -- a WIP article that aims to show the shortcomings of the relative cent | ||
[[Category:Approximation]] | [[Category:Approximation]] | ||