3ifdo: Difference between revisions

+subsets and supersets and clarify
Note that this is the first nontrivial ifdo
Line 1: Line 1:
{{Infobox IFDO|steps=3}}
{{Infobox IFDO|steps=3}}
'''3ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.
'''3ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''3-UDO''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into three inverse-arithmetically equal parts. It is a superset of 2ifdo (equivalent to [[2afdo]]) and a subset of [[4ifdo]]. 3ifdo is the first nontrivial ifdo since it is the first ifdo to demonstrate [[chirality]]. Its inverse is [[3afdo]]. As a [[scale]] it may also be known as mode 3 of the subharmonic series or the Under-3 scale. The notes of this IFDO form a [[just minor triad]] in root position.


== Intervals ==
== Intervals ==