11afdo: Difference between revisions
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{{Infobox | {{Infobox AFDO|steps=11}} | ||
''' | '''11afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''11odo''' ([[otonal division]] of the octave), divides the octave into eleven parts of 1/11 each. It is a superset of [[10afdo]] and a subset of [[12afdo]]. As a scale it may be known as [[Harmonic mode|mode 11 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-11]] scale. As 11 is a small odd number, this AFDO does not contain a perfect fifth above the root, although it does contain a [[16/11]] subfifth and a [[17/11]] ultrafifth / inframinor sixth. | ||
[[:File:11afdo notes.jpg|File:11afdo notes.jpg]] | |||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 40: | Line 43: | ||
| 4 | | 4 | ||
| 536.95 | | 536.95 | ||
| [[ | | [[15/11]] | ||
| 1.3636 | | 1.3636 | ||
| undecimal augmented fourth | | undecimal augmented fourth | ||
| Line 76: | Line 79: | ||
| 9 | | 9 | ||
| 1035.00 | | 1035.00 | ||
| [[20/11]] | |||
| 1.8182 | | 1.8182 | ||
| undecimal supraminor seventh | | undecimal supraminor seventh | ||
| [[File:Jid_20_11_pluck_adu_dr220.mp3]] | | [[File:Jid_20_11_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 10 | | 10 | ||
| | | 1119.46 | ||
| [[21/11]] | |||
| 1.9091 | | 1.9091 | ||
| undecimal major seventh | | undecimal major seventh | ||
| [[File:Jid_21_11_pluck_adu_dr220.mp3]] | | [[File:Jid_21_11_pluck_adu_dr220.mp3]] | ||
|- | |||
| 11 | |||
| 1200.00 | |||
| [[2/1]] | |||
| 2.000 | |||
| perfect octave | |||
| [[File:Jid_2_1_pluck_adu_dr220.mp3]] | |||
|} | |} | ||
Latest revision as of 03:57, 30 July 2025
| ← 10afdo | 11afdo | 12afdo → |
11afdo (arithmetic frequency division of the octave), or 11odo (otonal division of the octave), divides the octave into eleven parts of 1/11 each. It is a superset of 10afdo and a subset of 12afdo. As a scale it may be known as mode 11 of the harmonic series or the Over-11 scale. As 11 is a small odd number, this AFDO does not contain a perfect fifth above the root, although it does contain a 16/11 subfifth and a 17/11 ultrafifth / inframinor sixth.
Intervals
| # | Cents | Ratio | Decimal | Interval name | Audio |
|---|---|---|---|---|---|
| 0 | 0 | 1/1 | 1.0000 | perfect unison | |
| 1 | 150.63 | 12/11 | 1.0909 | small whole tone | |
| 2 | 289.21 | 13/11 | 1.1818 | tridecimal minor third | |
| 3 | 417.51 | 14/11 | 1.2727 | undecimal major third | |
| 4 | 536.95 | 15/11 | 1.3636 | undecimal augmented fourth | |
| 5 | 648.68 | 16/11 | 1.4545 | undecimal subfifth | |
| 6 | 753.64 | 17/11 | 1.5455 | septendecimal subminor sixth | |
| 7 | 852.59 | 18/11 | 1.6364 | undecimal neutral sixth | |
| 8 | 946.20 | 19/11 | 1.7273 | undevicesimal semitwelfth | |
| 9 | 1035.00 | 20/11 | 1.8182 | undecimal supraminor seventh | |
| 10 | 1119.46 | 21/11 | 1.9091 | undecimal major seventh | |
| 11 | 1200.00 | 2/1 | 2.000 | perfect octave |