3afdo: Difference between revisions

+subsets and supersets and clarify
Note that this is the first nontrivial afdo
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{{Infobox AFDO|steps=3}}
{{Infobox AFDO|steps=3}}
'''3afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-3]] scale. The notes of this AFDO form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.
'''3afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''3odo''' ([[otonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three arithmetically equal parts. It is a superset of [[2afdo]] and a subset of [[4afdo]]. It is the first nontrivial afdo since it is the first afdo to demonstrate [[chirality]]. Its inverse is [[3ifdo]]. As a [[scale]] it may also be known as [[harmonic mode|mode 3 of the harmonic series]] or the [[overtone scale #Over-n scales|Over-3]] scale. The notes of this afdo form a 3:4:5 triad (first rotation of the [[just major triad]]) on root position.


== Intervals ==
== Intervals ==