6afdo: Difference between revisions

← 5afdo 6afdo 7afdo →
Prime factorization	2 × 3
Fifth	9/6 (701.955c)

Revision as of 03:12, 14 January 2025

6afdo (arithmetic frequency division of the octave), or 6odo (otonal division of the octave), divides the octave into six parts of 1/6 each. As a scale it may be known as mode 6 of the harmonic series or the Over-6 scale. (Budjarn Lambeth calls it the Freeway scale.^{[idiosyncratic term]}) In its root position, 6afdo is an effective system that contains several useful intervals such as 7/6, 4/3 and 3/2, although it lacks a major third.

#	Cents	Ratio	Decimal	Interval name
0	0	1/1	1.000	perfect unison
1	266.9	7/6	1.1667	subminor third
2	498.0	4/3	1.3333	just perfect fourth
3	702.0	3/2	1.5000	just perfect fifth
4	884.5	5/3	1.6667	just major sixth
5	1049.4	11/6	1.8333	undecimal neutral seventh
6	1200.0	2/1	2.0000	perfect octave

Geode: 7/6-8/6-9/6-11/6-12/6

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 [[File:6ado scale.wav|thumb]]
-'''6afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''6odo''' ([[otonal division]] of the octave), divides the octave into six parts of 1/6 each. As a scale it may be known as [[Harmonic mode|mode 6 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-6]] scale. It is an effective system that contains several useful intervals such as [[7/6]], [[4/3]] and [[3/2]] although it lacks a major third on its root position.
+'''6afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''6odo''' ([[otonal division]] of the octave), divides the octave into six parts of 1/6 each. As a scale it may be known as [[Harmonic mode|mode 6 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-6]] scale. ([[Budjarn Lambeth]] calls it the ''Freeway scale''.{{idiosyncratic}}) In its root position, 6afdo is an effective system that contains several useful intervals such as [[7/6]], [[4/3]] and [[3/2]], although it lacks a major third.
-[[Budjarn Lambeth]] calls it the Freeway scale.
 == Intervals ==