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). Its size is 1 percent of the distance between adjacent pitches.
'''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]] (¢).


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.