2460edo: Difference between revisions

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The '''2460 equal divisions of the octave''' ('''2460edo''') divides the [[octave]] into 2460 equal parts of 0.4878 [[cent]]s each. It has been used in [[Sagittal notation]] to define the ''olympian level'' of JI notation, and has been proposed as the basis for a unit, the [[mina]], which could be used in place of the cent. It is uniquely [[consistent]] through to the [[27-odd-limit]], which is not very remarkable in itself ([[388edo]] is the first such system), but what is remarkable is the degree of accuracy to which it represents the 27-odd-limit intervals. It is also a [[The Riemann Zeta Function and Tuning #Zeta EDO lists|zeta peak and zeta peak integer edo]] and has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any edo until [[3395edo|3395]], and a lower 23-limit relative error than any until [[8269edo|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo|16808]].

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			{{Infobox ET}}
	The '''2460 equal divisions of the octave''' ('''2460edo''') divides the [[octave]] into 2460 equal parts of 0.4878 [[cent]]s each. It has been used in [[Sagittal notation]] to define the ''olympian level'' of JI notation, and has been proposed as the basis for a unit, the [[mina]], which could be used in place of the cent. It is uniquely [[consistent]] through to the [[27-odd-limit]], which is not very remarkable in itself ([[388edo]] is the first such system), but what is remarkable is the degree of accuracy to which it represents the 27-odd-limit intervals. It is also a [[The Riemann Zeta Function and Tuning #Zeta EDO lists\|zeta peak and zeta peak integer edo]] and has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until [[3395edo\|3395]], and a lower 23-limit relative error than any until [[8269edo\|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo\|16808]].		The '''2460 equal divisions of the octave''' ('''2460edo''') divides the [[octave]] into 2460 equal parts of 0.4878 [[cent]]s each. It has been used in [[Sagittal notation]] to define the ''olympian level'' of JI notation, and has been proposed as the basis for a unit, the [[mina]], which could be used in place of the cent. It is uniquely [[consistent]] through to the [[27-odd-limit]], which is not very remarkable in itself ([[388edo]] is the first such system), but what is remarkable is the degree of accuracy to which it represents the 27-odd-limit intervals. It is also a [[The Riemann Zeta Function and Tuning #Zeta EDO lists\|zeta peak and zeta peak integer edo]] and has a lower 19-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any edo until [[3395edo\|3395]], and a lower 23-limit relative error than any until [[8269edo\|8269]]. Also it has a lower 23-limit [[TE logflat badness]] than any smaller edo and less than any until [[16808edo\|16808]].