9afdo: Difference between revisions

Latest revision as of 04:00, 30 July 2025

9afdo (arithmetic frequency division of the octave), or 9odo (otonal division of the octave), divides the octave into nine parts of 1/9 each. It is a superset of 8afdo and a subset of 10afdo. As a scale it may be known as mode 9 of the harmonic series or the Over-9 scale. As 9 is a small odd number, this afdo does not contain a perfect fifth above the root.

#	Cents	Ratio	Decimal	Interval name
0	0	1/1	1.0000	perfect unison
1	182.4	10/9	1.1111	small whole tone
2	347.4	11/9	1.2222	undecimal neutral third
3	498.0	4/3	1.3333	perfect fourth
4	636.6	13/9	1.4444	tridecimal diminished fifth
5	764.9	14/9	1.5556	subminor sixth
6	884.4	5/3	1.6667	just major sixth
7	996.1	16/9	1.7778	Pythagorean minor seventh
8	1101.0	17/9	1.8889	large septendecimal major seventh
9	1200.0	2/1	2.0000	perfect octave

@@ Line 1: / Line 1: @@
-{{Infobox ADO|steps=9}}
+{{Infobox AFDO|steps=9}}
-'''9ado''' is the [[ADO|arithmetic equal division of the octave]] into nine parts of 1/9 each. As 9 is a small odd number, this ADO does not contain a perfect fifth above the root.
+'''9afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''9odo''' ([[otonal division]] of the octave), divides the octave into nine parts of 1/9 each. It is a superset of [[8afdo]] and a subset of [[10afdo]]. As a scale it may be known as [[Harmonic mode|mode 9 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-9]] scale. As 9 is a small odd number, this afdo does not contain a perfect fifth above the root.
 == Intervals ==
 {| class="wikitable center-all"
@@ Line 35: / Line 37: @@
 | [[4/3]]
 | 1.3333
-| undecimal neutral third
+| perfect fourth
 | [[File:Jid_4_3_pluck_adu_dr220.mp3]]
 |-
@@ Line 80: / Line 82: @@
 | [[File:Jid_2_1_pluck_adu_dr220.mp3]]
 |}
-[[Category:ADO]]