7afdo: Difference between revisions
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{{Infobox | {{Infobox AFDO|steps=7}} | ||
''' | '''7afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''7odo''' ([[otonal division]] of the octave), divides the octave into seven parts of 1/7 each. It is a superset of [[6afdo]] and a subset of [[8afdo]]. As a scale it may be known as [[Harmonic mode|mode 7 of the harmonic series]] or the [[Overtone scale#Over-7 scales|Over-7]] scale. As 7 is a small odd number, 7afdo does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes 7afdo relatively poor for its size at creating traditional tonal music unless rotated. | ||
== Intervals == | == Intervals == | ||
| Line 7: | Line 7: | ||
! Cents | ! Cents | ||
! Ratio | ! Ratio | ||
! Decimal | |||
! Interval name | ! Interval name | ||
! Audio | ! Audio | ||
| Line 13: | Line 14: | ||
| 0 | | 0 | ||
| [[1/1]] | | [[1/1]] | ||
| 1.0000 | |||
| perfect unison | | perfect unison | ||
| | | | ||
| Line 19: | Line 21: | ||
| 231.2 | | 231.2 | ||
| [[8/7]] | | [[8/7]] | ||
| 1.1429 | |||
| supermajor second | | supermajor second | ||
| [[File:Jid_8_7_pluck_adu_dr220.mp3]] | | [[File:Jid_8_7_pluck_adu_dr220.mp3]] | ||
| Line 25: | Line 28: | ||
| 435.1 | | 435.1 | ||
| [[9/7]] | | [[9/7]] | ||
| 1.2857 | |||
| supermajor third | | supermajor third | ||
| [[File:Jid_9_7_pluck_adu_dr220.mp3]] | | [[File:Jid_9_7_pluck_adu_dr220.mp3]] | ||
| Line 31: | Line 35: | ||
| 617.5 | | 617.5 | ||
| [[10/7]] | | [[10/7]] | ||
| 1.4286 | |||
| high tritone | | high tritone | ||
| [[File:Jid_10_7_pluck_adu_dr220.mp3]] | | [[File:Jid_10_7_pluck_adu_dr220.mp3]] | ||
| Line 37: | Line 42: | ||
| 782.4 | | 782.4 | ||
| [[11/7]] | | [[11/7]] | ||
| 1.5714 | |||
| undecimal minor sixth | | undecimal minor sixth | ||
| [[File:Jid_11_7_pluck_adu_dr220.mp3]] | | [[File:Jid_11_7_pluck_adu_dr220.mp3]] | ||
| Line 43: | Line 49: | ||
| 933.1 | | 933.1 | ||
| [[12/7]] | | [[12/7]] | ||
| 1.7143 | |||
| supermajor sixth | | supermajor sixth | ||
| [[File:Jid_12_7_pluck_adu_dr220.mp3]] | | [[File:Jid_12_7_pluck_adu_dr220.mp3]] | ||
| Line 49: | Line 56: | ||
| 1071.7 | | 1071.7 | ||
| [[13/7]] | | [[13/7]] | ||
| 1.8571 | |||
| tridecimal submajor seventh | | tridecimal submajor seventh | ||
| [[File:Jid_13_7_pluck_adu_dr220.mp3]] | | [[File:Jid_13_7_pluck_adu_dr220.mp3]] | ||
| Line 55: | Line 63: | ||
| 1200.0 | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | |||
| perfect octave | | perfect octave | ||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | | [[File:Jid_2_1_pluck_adu_dr220.mp3]] | ||
|} | |} | ||
[[ | == Scala files == | ||
* [[Harmd-mix]] | |||
* [[Oheptad]] – same, but starts with 8/7 | |||
Latest revision as of 11:08, 23 February 2025
| ← 6afdo | 7afdo | 8afdo → |
7afdo (arithmetic frequency division of the octave), or 7odo (otonal division of the octave), divides the octave into seven parts of 1/7 each. It is a superset of 6afdo and a subset of 8afdo. As a scale it may be known as mode 7 of the harmonic series or the Over-7 scale. As 7 is a small odd number, 7afdo does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes 7afdo relatively poor for its size at creating traditional tonal music unless rotated.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 231.2 | 8/7 | 1.1429 | supermajor second | |
| 2 | 435.1 | 9/7 | 1.2857 | supermajor third | |
| 3 | 617.5 | 10/7 | 1.4286 | high tritone | |
| 4 | 782.4 | 11/7 | 1.5714 | undecimal minor sixth | |
| 5 | 933.1 | 12/7 | 1.7143 | supermajor sixth | |
| 6 | 1071.7 | 13/7 | 1.8571 | tridecimal submajor seventh | |
| 7 | 1200.0 | 2/1 | 2.0000 | perfect octave |