11afdo: Difference between revisions

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{{Infobox ADO|steps=11}}
{{Infobox AFDO|steps=11}}
'''11ado''' 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, although it does contain a [[16/11]] subfifth.
'''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 18: Line 21:
|-
|-
| 1
| 1
| 182.4
| 150.63
| [[10/9]]
| [[12/11]]
| 1.1111
| 1.0909
| small whole tone
| small whole tone
| [[File:Jid_10_9_pluck_adu_dr220.mp3]]
| [[File:Jid_10_9_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 2
| 347.4
| 289.21
| [[11/9]]
| [[13/11]]
| 1.2222
| 1.1818
| undecimal neutral third
| tridecimal minor third
| [[File:Jid_11_9_pluck_adu_dr220.mp3]]
| [[File:Jid_13_11_pluck_adu_dr220.mp3]]
|-
|-
| 3
| 3
| 498.0
| 417.51
| [[4/3]]
| [[14/11]]
| 1.3333
| 1.2727
| undecimal neutral third
| undecimal major third
| [[File:Jid_4_3_pluck_adu_dr220.mp3]]
| [[File:Jid_14_11_pluck_adu_dr220.mp3]]
|-
|-
| 4
| 4
| 636.6
| 536.95
| [[13/9]]
| [[15/11]]
| 1.4444
| 1.3636
| tridecimal diminished fifth
| undecimal augmented fourth
| [[File:Jid_13_9_pluck_adu_dr220.mp3]]
| [[File:Jid_15_11_pluck_adu_dr220.mp3]]
|-
|-
| 5
| 5
| 764.9
| 648.68
| [[14/9]]
| [[16/11]]
| 1.5556
| 1.4545
| subminor sixth
| undecimal subfifth
| [[File:Jid_14_9_pluck_adu_dr220.mp3]]
| [[File:Jid_16_11_pluck_adu_dr220.mp3]]
 
|-
|-
| 6
| 6
| 884.4
| 753.64
| [[5/3]]
| [[17/11]]
| 1.6667
| 1.5455
| just major sixth
| septendecimal subminor sixth
| [[File:Jid_5_3_pluck_adu_dr220.mp3]]
| [[File:Jid_17_11_pluck_adu_dr220.mp3]]
|-
|-
| 7
| 7
| 996.1
| 852.59
| [[16/9]]
| [[18/11]]
| 1.7778
| 1.6364
| Pythagorean minor seventh
| undecimal neutral sixth
| [[File:Jid_16_9_pluck_adu_dr220.mp3]]
| [[File:Jid_18_11_pluck_adu_dr220.mp3]]
|-
|-
| 8
| 8
| 1101.0
| 946.20
| [[17/9]]
| [[19/11]]
| 1.8889
| 1.7273
| large septendecimal major seventh
| undevicesimal semitwelfth
| [[File:Jid_17_9_pluck_adu_dr220.mp3]]
| [[File:Jid_19_11_pluck_adu_dr220.mp3]]
|-
|-
| 9
| 9
| 1200.0
| 1035.00
| [[20/11]]
| 1.8182
| undecimal supraminor seventh
| [[File:Jid_20_11_pluck_adu_dr220.mp3]]
|-
| 10
| 1119.46
| [[21/11]]
| 1.9091
| undecimal major seventh
| [[File:Jid_21_11_pluck_adu_dr220.mp3]]
|-
| 11
| 1200.00
| [[2/1]]
| [[2/1]]
| 2.0000
| 2.000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}
[[Category:ADO]]