12afdo: Difference between revisions

Revision as of 07:25, 11 April 2023

Prime factorization

2² × 3

Fifth

18/12 (701.955c)

12afdo (arithmetic frequency division of the octave), or 12odo (otonal division of the octave), divides the octave into twelve parts of 1/12 each. As a scale it may be known as mode 12 of the harmonic series or the Over-12 scale.

#	Cents	Ratio	Decimal	Interval name
0	0	1/1	1.0000	perfect unison
1	138.6	13/12	1.0833	tridecimal neutral second
2	266.9	7/6	1.1667	subminor third
3	386.3	5/4	1.2500	just major third
4	498.0	4/3	1.3333	just perfect fourth
5	603.0	17/12	1.41667	larger septendecimal tritone
6	702.0	3/2	1.50000	just perfect fifth
7	792.6	19/12	1.58333	large undevicesimal minor sixth
8	884.4	5/3	1.66667	just major sixth
9	968.8	7/4	1.75000	harmonic seventh
10	1049.3	11/6	1.83333	undecimal neutral sixth
11	1126.3	23/12	1.91667	vicesimotertial major seventh
12	1200.0	2/1	2.0000	perfect octave

@@ Line 1: / Line 1: @@
-{{Infobox ADO|steps=12}}
+{{Infobox AFDO|steps=12}}
-'''12ado''' ([[ADO|arithmetic division of the octave]]), or '''12odo''' ([[otonal division]] of the octave), divides the octave into twelve parts of 1/12 each. As a scale it may be known as [[Harmonic mode|mode 12 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-12]] scale. 12ado is a subset of the esoteric [[Factor 9 grid]] temperament connected to "A = 432 Hz" conspiracy.
+'''12afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''12odo''' ([[otonal division]] of the octave), divides the octave into twelve parts of 1/12 each. As a scale it may be known as [[Harmonic mode|mode 12 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-12]] scale.
 == Intervals ==
@@ Line 103: / Line 104: @@
 |}
-[[Category:ADO]]
+[[Category:AFDO]]