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Compared to 12edo, the intervals of 11edo are stretched:
Compared to 12edo, the intervals of 11edo are stretched:


<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.455 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>
<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.45 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>


=Subgroup=
=Subgroup=
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{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" | Degree
! | Degree
! colspan="3" | Size in
! | Size in
! rowspan="2" | Solfege
 
! rowspan="2" | Approximate Ratios*
[[cent|Cents]]
! rowspan="2" | Sagittal
! | Solfege
! | Approximate Ratios*
! | Sagittal


notation
notation


(22edo subset)
(22edo subset)
! colspan="2" rowspan="2" | [[Ups_and_Downs_Notation|Up/down notation]]
! colspan="2" | [[Ups_and_Downs_Notation|Up/down notation]]


with major wider
with major wider


than minor
than minor
! colspan="2" rowspan="2" | Up/down notation
! colspan="2" | Up/down notation


with major narrower
with major narrower


than minor
than minor
! rowspan="2" | [[Tútim_Dennsuul_Wafiil|TDW]]
! | [[Tútim_Dennsuul_Wafiil|TDW]]


Machine
Machine
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notation
notation
|-
|-
![[cent|Cents]]
| style="text-align:center;" | 0
!pions
| style="text-align:right;" | 0.00
!7mus
|-
| colspan="4" style="text-align:center;" | 0
| style="text-align:center;" | '''do'''
| style="text-align:center;" | '''do'''
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
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| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:right;" | 109.09
| style="text-align:right;" | 109.09
|115.64
|139.64 (8B.A3<sub>16</sub>)
| style="text-align:center;" | '''ra'''
| style="text-align:center;" | '''ra'''
| style="text-align:center;" | [[15/14|15/14]], [[16/15|16/15]], [[17/16|17/16]], [[18/17|18/17]]
| style="text-align:center;" | [[15/14|15/14]], [[16/15|16/15]], [[17/16|17/16]], [[18/17|18/17]]
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| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:right;" | 218.18
| style="text-align:right;" | 218.18
|231.27
|279.27 (117.46<sub>16</sub>)
| style="text-align:center;" | '''re'''
| style="text-align:center;" | '''re'''
| style="text-align:center;" | [[8/7|8/7]], [[9/8|9/8]], [[17/15|17/15]]
| style="text-align:center;" | [[8/7|8/7]], [[9/8|9/8]], [[17/15|17/15]]
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| style="text-align:center;" | B^, Cb
| style="text-align:center;" | B^, Cb
| style="text-align:center;" | ~2, M3
| style="text-align:center;" | ~2, M3
| style="text-align:center;" | B^, C\\
| style="text-align:center;" | B^, C#
| style="text-align:center;" | R
| style="text-align:center;" | R
|-
|-
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:right;" | 327.27
| style="text-align:right;" | 327.27
|346.91
|418.91 (1A2.E88<sub>16</sub>)
| style="text-align:center;" | '''me'''
| style="text-align:center;" | '''me'''
| style="text-align:center;" | [[6/5|6/5]], [[11/9|11/9]], [[17/14|17/14]]
| style="text-align:center;" | [[6/5|6/5]], [[11/9|11/9]], [[17/14|17/14]]
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| style="text-align:center;" | B#, Cv
| style="text-align:center;" | B#, Cv
| style="text-align:center;" | m2, ~3
| style="text-align:center;" | m2, ~3
| style="text-align:center;" | Bp, Cv
| style="text-align:center;" | Bb, Cv
| style="text-align:center;" | R#\Sb
| style="text-align:center;" | R#\Sb
|-
|-
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:right;" | 436.36
| style="text-align:right;" | 436.36
|462.545
|558.545 (22E.8C<sub>16</sub>)
| style="text-align:center;" | '''mo'''
| style="text-align:center;" | '''mo'''
| style="text-align:center;" | [[9/7|9/7]], [[14/11|14/11]], [[22/17|22/17]]
| style="text-align:center;" | [[9/7|9/7]], [[14/11|14/11]], [[22/17|22/17]]
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|-
|-
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:right;" | 545.455
| style="text-align:right;" | 545.45
|578.18
|698.18 (2BA.2F<sub>16</sub>)
| style="text-align:center;" | '''fu'''
| style="text-align:center;" | '''fu'''
| style="text-align:center;" | [[11/8|11/8]], [[15/11|15/11]]
| style="text-align:center;" | [[11/8|11/8]], [[15/11|15/11]]
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|-
|-
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:right;" | 654.545
| style="text-align:right;" | 654.55
|693.82
|837.82 (345.D1<sub>16</sub>)
| style="text-align:center;" | '''su'''
| style="text-align:center;" | '''su'''
| style="text-align:center;" | [[16/11|16/11]], [[22/15|22/15]]
| style="text-align:center;" | [[16/11|16/11]], [[22/15|22/15]]
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| style="text-align:center;" | 7
| style="text-align:center;" | 7
| style="text-align:right;" | 763.64
| style="text-align:right;" | 763.64
|809.455
|977.455 (3D1.74<sub>16</sub>)
| style="text-align:center;" | '''lo'''
| style="text-align:center;" | '''lo'''
| style="text-align:center;" | [[11/7|11/7]], [[14/9|14/9]], [[17/11|17/11]]
| style="text-align:center;" | [[11/7|11/7]], [[14/9|14/9]], [[17/11|17/11]]
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| style="text-align:center;" | E^, Fb
| style="text-align:center;" | E^, Fb
| style="text-align:center;" | ^5, M6
| style="text-align:center;" | ^5, M6
| style="text-align:center;" | E^, F\\
| style="text-align:center;" | E^, F#
| style="text-align:center;" | T#\Ub
| style="text-align:center;" | T#\Ub
|-
|-
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:right;" | 872.73
| style="text-align:right;" | 872.73
|925.09
|1117.09 (45D.178<sub>16</sub>)
| style="text-align:center;" | '''la'''
| style="text-align:center;" | '''la'''
| style="text-align:center;" | [[5/3|5/3]], [[18/11|18/11]], [[28/17|28/17]]
| style="text-align:center;" | [[5/3|5/3]], [[18/11|18/11]], [[28/17|28/17]]
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| style="text-align:center;" | Fv, Gb
| style="text-align:center;" | Fv, Gb
| style="text-align:center;" | ~6, M7
| style="text-align:center;" | ~6, M7
| style="text-align:center;" | Fv, G\\
| style="text-align:center;" | Fv, G#
| style="text-align:center;" | U
| style="text-align:center;" | U
|-
|-
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:right;" | 981.82
| style="text-align:right;" | 981.82
|1040.73
|1256.73 (4E8.BA<sub>16</sub>)
| style="text-align:center;" | '''ta'''
| style="text-align:center;" | '''ta'''
| style="text-align:center;" | [[7/4|7/4]], [[16/9|16/9]], [[30/17|30/17]]
| style="text-align:center;" | [[7/4|7/4]], [[16/9|16/9]], [[30/17|30/17]]
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| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:right;" | 1090.91
| style="text-align:right;" | 1090.91
|1156.36
|1396.36 (574.5D<sub>16</sub>)
| style="text-align:center;" | '''ti'''
| style="text-align:center;" | '''ti'''
| style="text-align:center;" | [[15/8|15/8]], [[17/9|17/9]], [[28/15|28/15]], [[32/17|32/17]]
| style="text-align:center;" | [[15/8|15/8]], [[17/9|17/9]], [[28/15|28/15]], [[32/17|32/17]]
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| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:right;" | 1200.00
| style="text-align:right;" | 1200.00
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | '''do'''
| style="text-align:center;" | '''do'''
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
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|-
|-
| style="text-align:center;" | [[135/128|135/128]]
| style="text-align:center;" | [[135/128|135/128]]
| |<nowiki> | -7 3 1 </nowiki>&gt;
| | | -7 3 1 &gt;
| style="text-align:right;" | 92.18
| style="text-align:right;" | 92.18
| style="text-align:center;" | Major Chroma
| style="text-align:center;" | Major Chroma
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|-
|-
| style="text-align:center;" | 9931568/9752117
| style="text-align:center;" | 9931568/9752117
| |<nowiki> | -25 7 6 </nowiki>&gt;
| | | -25 7 6 &gt;
| style="text-align:right;" | 31.57
| style="text-align:right;" | 31.57
| style="text-align:center;" | Ampersand's Comma
| style="text-align:center;" | Ampersand's Comma
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|-
|-
| style="text-align:center;" | 1776337/1773750
| style="text-align:center;" | 1776337/1773750
| |<nowiki> | -68 18 17 </nowiki>&gt;
| | | -68 18 17 &gt;
| style="text-align:right;" | 2.52
| style="text-align:right;" | 2.52
| style="text-align:center;" | Vavoom
| style="text-align:center;" | Vavoom
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|-
|-
| style="text-align:center;" | 9859966/9733137
| style="text-align:center;" | 9859966/9733137
| |<nowiki> | -10 7 8 -7 </nowiki>&gt;
| | | -10 7 8 -7 &gt;
| style="text-align:right;" | 22.41
| style="text-align:right;" | 22.41
| style="text-align:center;" | Blackjackisma
| style="text-align:center;" | Blackjackisma
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|-
|-
| style="text-align:center;" | 1029/1024
| style="text-align:center;" | 1029/1024
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| | | -10 1 0 3 &gt;
| style="text-align:right;" | 8.43
| style="text-align:right;" | 8.43
| style="text-align:center;" | Gamelisma
| style="text-align:center;" | Gamelisma
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|-
|-
| style="text-align:center;" | [[225/224|225/224]]
| style="text-align:center;" | [[225/224|225/224]]
| |<nowiki> | -5 2 2 -1 </nowiki>&gt;
| | | -5 2 2 -1 &gt;
| style="text-align:right;" | 7.71
| style="text-align:right;" | 7.71
| style="text-align:center;" | Septimal Kleisma
| style="text-align:center;" | Septimal Kleisma
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|-
|-
| style="text-align:center;" | 16875/16807
| style="text-align:center;" | 16875/16807
| |<nowiki> | 0 3 4 -5 </nowiki>&gt;
| | | 0 3 4 -5 &gt;
| style="text-align:right;" | 6.99
| style="text-align:right;" | 6.99
| style="text-align:center;" | Mirkwai
| style="text-align:center;" | Mirkwai
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|-
|-
| style="text-align:center;" | 2401/2400
| style="text-align:center;" | 2401/2400
| |<nowiki> | -5 -1 -2 4 </nowiki>&gt;
| | | -5 -1 -2 4 &gt;
| style="text-align:right;" | 0.72
| style="text-align:right;" | 0.72
| style="text-align:center;" | Breedsma
| style="text-align:center;" | Breedsma
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|-
|-
| style="text-align:center;" | 121/120
| style="text-align:center;" | 121/120
| |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| | | -3 -1 -1 0 2 &gt;
| style="text-align:right;" | 14.37
| style="text-align:right;" | 14.37
| style="text-align:center;" | Biyatisma
| style="text-align:center;" | Biyatisma
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|-
|-
| style="text-align:center;" | 65536/65219
| style="text-align:center;" | 65536/65219
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| | | 16 0 0 -2 -3 &gt;
| style="text-align:right;" | 8.39
| style="text-align:right;" | 8.39
| style="text-align:center;" | Orgonisma
| style="text-align:center;" | Orgonisma
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''[http://www.akjmusic.com/audio/black_ritual_dirge.mp3 Black Ritual Dirge]'' by [[Aaron_Krister_Johnson|Aaron Krister Johnson]]
''[http://www.akjmusic.com/audio/black_ritual_dirge.mp3 Black Ritual Dirge]'' by [[Aaron_Krister_Johnson|Aaron Krister Johnson]]


''<span style="">[http://chrisvaisvil.com/?p=2701 Eleven Birds] (video and music) (</span>'<nowiki/>'''[http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 audio only]'''''<nowiki/>''' '') by [[Chris_Vaisvil|Chris Vaisvil]]'''''
''<span style="">[http://chrisvaisvil.com/?p=2701 Eleven Birds] (video and music) (</span>''''[http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 audio only]'' '') by [[Chris_Vaisvil|Chris Vaisvil]]''


''<span style="">[http://soundcloud.com/vaisvil/the-execution-of-12-equal The Execution of 12 Equal] by [[Chris_Vaisvil|Chris Vaisvil]]</span>''
''<span style="">[http://soundcloud.com/vaisvil/the-execution-of-12-equal The Execution of 12 Equal] by [[Chris_Vaisvil|Chris Vaisvil]]</span>''
Retrieved from "https://en.xen.wiki/w/11edo"