11afdo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
CompactStar (talk | contribs)
Created page with "{{Infobox ADO|steps=11}} '''11ado''' is the 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..."
 
CompactStar (talk | contribs)
No edit summary
Line 1: Line 1:
{{Infobox ADO|steps=11}}
{{Infobox ADO|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.
'''11ado''' is the [[ADO|arithmetic equal division of the octave]] into eleven parts of 1/11 each. As 11 is a small odd number, this ADO does not contain a perfect fifth above the root, although it does contain a [[16/11]] subfifth.
== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"
Line 18: Line 18:
|-
|-
| 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]]
| [[13/9]]
| 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
| [[2/1]]
| 1.8182
| 2.0000
| [[20/11]]
| perfect octave
| undecimal supraminor seventh
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
| [[File:Jid_20_11_pluck_adu_dr220.mp3]]
|-
| 10
| 1035.00
| 1.9091
| [[21/11]]
| undecimal major seventh
| [[File:Jid_21_11_pluck_adu_dr220.mp3]]
|}
|}


[[Category:ADO]]
[[Category:ADO]]

Revision as of 06:58, 25 March 2023

Template:Infobox ADO 11ado is the arithmetic equal division of the octave into eleven parts of 1/11 each. As 11 is a small odd number, this ADO does not contain a perfect fifth above the root, although it does contain a 16/11 subfifth.

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 13/9 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 1.8182 20/11 undecimal supraminor seventh
10 1035.00 1.9091 21/11 undecimal major seventh