2afdo: Difference between revisions

Revision as of 12:42, 15 October 2024

Prime factorization

2 (prime)

Fifth

3/2 (701.955c)

2afdo (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. As a scale it may also be known as mode 2 of the harmonic series or the 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.

#	Cents	Ratio	Decimal	Interval name
0	0.0	1/1	1.0000	perfect unison
1	702.0	3/2	1.5000	just perfect fifth
2	1200.0	2/1	2.0000	perfect octave

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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 scale, would divide the [[octave]] into two arithmetically equal parts, and 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 interval is the just perfect fifth [[3/2]], since 3/2 is arithmetically halfway between 1/1 and 2/1.
+'''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. 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]].
 == Intervals ==