3afdo: Difference between revisions

Revision as of 13:05, 15 October 2024

3afdo (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 mode 3 of the harmonic series or the Over-3 scale. The notes of this AFDO form a 3:4:5 triad (first rotation of the just major triad) on root position.

#	Cents	Ratio	Decimal	Interval name
0	0.0	1/1	1.0000	perfect unison
1	498.0	4/3	1.3333	just perfect fourth
2	884.4	5/3	1.6667	just major sixth
3	1200.0	2/1	2.0000	perfect octave

@@ Line 1: / Line 1: @@
 {{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 scale, would divide the [[octave]] into three arithmetically equal parts, and 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 inversion major triad).
+'''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.
 == Intervals ==