6afdo: Difference between revisions
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CompactStar (talk | contribs) Created page with "thumb '''6ado''' is the arithmetic equal division of the octave into six parts of 1/6 each. This ADO contains several useful intervals such as..." |
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[[File: | {{Infobox AFDO|steps=6}} | ||
[[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. It is a superset of [[5afdo]] and a subset of [[7afdo]]. 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. | ||
== Intervals == | == Intervals == | ||
| Line 8: | Line 9: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | |||
|- | |- | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.000 | |||
| perfect unison | | perfect unison | ||
| | |||
|- | |- | ||
| 1 | | 1 | ||
| 266.9 | | 266.9 | ||
| [[7/6]] | | [[7/6]] | ||
| 1.1667 | |||
| subminor third | | subminor third | ||
| [[File:Jid_7_6_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 2 | | 2 | ||
| 498.0 | | 498.0 | ||
| [[ | | [[4/3]] | ||
| 1.3333 | |||
| just perfect fourth | | just perfect fourth | ||
| [[File:Jid_4_3_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 3 | | 3 | ||
| | | 702.0 | ||
| [[ | | [[3/2]] | ||
| just | | 1.5000 | ||
| just perfect fifth | |||
| [[File:Jid_3_2_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 4 | | 4 | ||
| | | 884.5 | ||
| [[ | | [[5/3]] | ||
| just | | 1.6667 | ||
| just major sixth | |||
| [[File:Jid_5_3_pluck_adu_dr220.mp3]] | |||
|- | |- | ||
| 5 | | 5 | ||
| 1049.4 | |||
| [[11/6]] | |||
| 1.8333 | |||
| undecimal neutral seventh | |||
| [[File:Jid_11_6_pluck_adu_dr220.mp3]] | |||
|- | |||
| 6 | |||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | |||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |} | ||
== Scales == | |||
6:7:8:9:11:12 Geode{{idiosyncratic}} | |||
Latest revision as of 02:18, 14 April 2026
6afdo (arithmetic frequency division of the octave), or 6odo (otonal division of the octave), divides the octave into six parts of 1/6 each. It is a superset of 5afdo and a subset of 7afdo. 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.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 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 |
Scales
6:7:8:9:11:12 Geode[idiosyncratic term]