2afdo: Difference between revisions

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'''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

'''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. It is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].

~~2afdo is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave)~~.

== Intervals ==

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~~[[Category:AFDO]]~~

[[Category:IFDO|#]]

[[Category:IFDO]]

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 {{Infobox AFDO|steps=2}}
-'''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].
+'''2afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''2odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into two arithmetically equal parts. It is a superset of 1afdo (equivalent to [[1edo]]) and a subset of [[3afdo]]. It is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave), and to the [[1L 1s|monowood]] [[mos scale]] tuned to the just perfect fifth or just perfect fourth. As a [[scale]] it may also be known as [[harmonic mode|mode 2 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-2]] scale. The only non-trivial intervals are the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1, and its [[octave complement]] [[4/3]].
-afdo is equivalent to [[IFDO|2ifdo]] (2 inverse-arithmetic frequency divisions of the octave).
 == Intervals ==
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 |}
-[[Category:AFDO]]
+[[Category:IFDO|#]]
-[[Category:IFDO]]