2edo: Difference between revisions

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~~'''~~2 ~~equal divisions of the octave''' ('''2edo''') is the [[tuning system]] derived by dividing the [[octave]] into 2 equal steps of 600 [[cent]]s each.~~

== Theory ==

The 600 cents step of 2edo corresponds to <math>\sqrt{2} \approx 1.414</math> as a frequency ratio. It is the first edo that can be considered to have a [[prime number]] of divisions and the first proper edo, since 1 is not a prime number due to having only itself as a factor and dividing by it returns the same number. It is the first [[The Riemann zeta function and tuning #Zeta EDO lists|zeta integral edo]] and the first [[The Riemann zeta function and tuning #Zeta EDO lists|zeta gap edo]], and, in addition, it is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], though 2edo is not the first to have this property, with that distinction instead going to [[1edo]].

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 {{Infobox ET}}
-'''2 equal divisions of the octave''' ('''2edo''') is the [[tuning system]] derived by dividing the [[octave]] into 2 equal steps of 600 [[cent]]s each.
+{{EDO intro|2}}
 == Theory ==
 The 600 cents step of 2edo corresponds to <math>\sqrt{2} \approx 1.414</math> as a frequency ratio. It is the first edo that can be considered to have a [[prime number]] of divisions and the first proper edo, since 1 is not a prime number due to having only itself as a factor and dividing by it returns the same number. It is the first [[The Riemann zeta function and tuning #Zeta EDO lists|zeta integral edo]] and the first [[The Riemann zeta function and tuning #Zeta EDO lists|zeta gap edo]], and, in addition, it is also a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], though 2edo is not the first to have this property, with that distinction instead going to [[1edo]].