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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|11}}
{{ED intro}}
== Theory ==
== Theory ==
{{Harmonics in equal|11|intervals=odd}}
Compared to 12edo, the intervals of 11edo are stretched:


Being less than twelve, 11edo maps easily to the standard keyboard. The suggested mapping disregards the Ab/G# key, leaving Orgone[7] on the whites. The superfluous Ab can be made a note of [[22edo]], a tuning known as "elevenplus".
* The "minor second" at 109.09 cents, functions melodically very much like the 100-cent minor second of 12edo.
* 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 [[concordant]]. 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]].
* The "minor third" at 327.27 cents, is rather sharp and encroaching upon "[[neutral]] third".
* 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.
* 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.
{{Harmonics in equal|11}}


Compared to 12edo, the intervals of 11edo are stretched:
11edo does not approximate many small prime harmonics well, only providing good approximations to 7/4 and 11/8. However, 11edo can be treated as a subset of 22edo, and take 22edo's [[6/5]], [[9/7]], and [[16/15]] via direct approximation.


* The "minor second," at 109.09 cents, functions melodically very much like the 100-cent minor second of 12edo.
11edo provides the same tuning on the [[k*N subgroups|2*11 subgroup]] 2.9.15.7.11.17 as does 22edo, and on this subgroup it [[tempering out|tempers out]] the same [[comma]]s as 22. Also on this subgroup there is an approximation of the 8:9:11:14:15:16:17 [[chord]] and its subchords. Though the error is rather large, this does provide 11 with a variety of chords approximating [[JI]] chords.
* 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 concordant. 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.
* The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."
* 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.
* 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.


11edo provides the same tuning on the [[k*N_subgroups|2*11 subgroup]] 2.9.15.7.11.17 as does 22edo, and on this subgroup it tempers out the same commas as 22. Also on this subgroup there is an approximation of the 8:9:11:14:15:16:17 chord and its subchords. Though the error is rather large, this does provide 11 with a variety of chords approximating JI chords.
11edo has a good approximation of [[9/7]], hence one natural approach to harmony in 11edo is to generate chords from stacks of this interval. Incidentally, correcting the tuning of 9/7 to just tuning and stacking this interval has the beneficial side effect of also improving the tuning of the 17th harmonic to almost exactly just intonation, with an error of only [[5832/5831|0.3 cents]]. It may therefore be worth considering this JI tuning as an alternative to 11edo.


11edo is the largest edo that patently alternates with an undivided 9/8 in a [[Well tempered nonet|wtn]].
Being less than twelve, 11edo maps easily to the standard keyboard. The suggested mapping disregards the Ab/G# key, leaving [[Orgone]][7] on the whites. The superfluous Ab can be made a note of [[22edo]], a tuning known as "[[elevenplus]]".


11edo has a good approximation of [[9/7]], hence one natural approach to harmony in 11edo is to generate chords from stacks of this interval. Incidentally, correcting the tuning of 9/7 to just tuning and stacking this interval has the beneficial side effect of also improving the tuning of the 17th harmonic to almost exactly just intonation, with an error of only 0.3 cents. It may therefore be worth considering this JI tuning as an alternative to 11edo.
[[File:0-8-16-20 chord.wav|thumb|A 0–8–16–20 chord in 11edo illustrating harmony generated from stacking 9/7 intervals.]]
[[File:0-8-16-20 chord.wav|thumb|A 0-8-16-20 chord in 11edo illustrating harmony generated from stacking 9/7 intervals.]]


== Intervals and notation ==
== Intervals and Notation ==
=== Ups and downs notation ===
11edo can be notated using ups and downs. Conventional notation, including the staff, note names, relative notation, etc. can be used in two ways. The first preserves the ''melodic'' meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.
11edo can be notated using ups and downs. Conventional notation, including the staff, note names, relative notation, etc. can be used in two ways. The first preserves the ''melodic'' meaning of sharp/flat, major/minor and aug/dim, in that sharp is higher pitched than flat, and major/aug is wider than minor/dim. The disadvantage to this approach is that conventional interval arithmetic no longer works. e.g. M2 + M2 isn't M3, and D + M2 isn't E. Chord names are different because C - E - G isn't P1 - M3 - P5.


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! Solfege
! Solfege
! Approximate Ratios*
! Approximate Ratios*
! Sagittal <br> notation <br>(22edo subset)
! colspan="2" | [[Ups and downs notation|Up/down notation]] <br> with major wider <br> than minor
! colspan="2" | [[Ups and Downs Notation|Up/down notation]] <br> with major wider <br> than minor
! colspan="2" | Up/down notation <br> with major narrower <br> than minor
! colspan="2" | Up/down notation <br> with major narrower <br> than minor
! [[Smitonic]]<br>(3rd-gen)<br>notation  
! [[Smitonic]]<br>(3rd-gen)<br>notation  
Line 51: Line 51:
| '''do'''
| '''do'''
| 1/1
| 1/1
| A
| P1
| P1
| A
| A
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| '''ra'''
| '''ra'''
| [[15/14]], [[16/15]], [[17/16]], [[18/17]]
| [[15/14]], [[16/15]], [[17/16]], [[18/17]]
| AII\ or B!!/
| ^1, m2
| ^1, m2
| ^A, B
| ^A, B
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| '''re'''
| '''re'''
| [[8/7]], [[9/8]], [[17/15]]
| [[8/7]], [[9/8]], [[17/15]]
| B
| ~2, m3
| ~2, m3
| ^B, Cb
| ^B, Cb
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| '''me'''
| '''me'''
| [[6/5]], [[11/9]], [[17/14]]
| [[6/5]], [[11/9]], [[17/14]]
| C/I or BII\ or D\!!/
| M2, ~3
| M2, ~3
| B#, vC
| B#, vC
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| '''mo'''
| '''mo'''
| [[9/7]], [[14/11]], [[22/17]]
| [[9/7]], [[14/11]], [[22/17]]
| D\! or C/II\
| M3, v4
| M3, v4
| C, vD
| C, vD
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| '''fu'''
| '''fu'''
| [[11/8]], [[15/11]]
| [[11/8]], [[15/11]]
| D/I or E\!!/
| P4, v5
| P4, v5
| D, vE
| D, vE
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| '''su'''
| '''su'''
| [[16/11]], [[22/15]]
| [[16/11]], [[22/15]]
| E\! or D/II\
| ^4, P5
| ^4, P5
| ^D, E
| ^D, E
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| '''lo'''
| '''lo'''
| [[14/9]], [[11/7]], [[17/11]]
| [[14/9]], [[11/7]], [[17/11]]
| F
| ^5, m6
| ^5, m6
| ^E, Fb
| ^E, Fb
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| '''la'''
| '''la'''
| [[5/3]], [[18/11]], [[28/17]]
| [[5/3]], [[18/11]], [[28/17]]
| FII\ or G!!/
| ~6, m7
| ~6, m7
| vF, Gb
| vF, Gb
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| '''ta'''
| '''ta'''
| [[7/4]], [[16/9]], [[30/17]]
| [[7/4]], [[16/9]], [[30/17]]
| G
| M6, ~7
| M6, ~7
| F, vG
| F, vG
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| '''ti'''
| '''ti'''
| [[15/8]], [[17/9]], [[28/15]], [[32/17]]
| [[15/8]], [[17/9]], [[28/15]], [[32/17]]
| GII\ or A!!/
| M7, v8
| M7, v8
| G, vAv
| G, vAv
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| '''do'''
| '''do'''
| 2/1
| 2/1
| A
| P8
| P8
| A
| A
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|[[File:0-1200 octave.mp3|frameless]]
|[[File:0-1200 octave.mp3|frameless]]
|}
|}
*in 2.7.9.11.15.17 subgroup
<nowiki>* in 2.7.9.11.15.17 subgroup</nowiki>


11edo in [[Sagittal notation]]:
The ups and downs notations above are heptatonic systems generated by 5ths (~3/2). Alternative notations include pentatonic 5th-generated, octatonic 5th-generated, nonatonic 5th-generated, heptatonic 3rd-generated, and hexatonic 2nd-generated.
 
[[File:Sagittal11EDO.jpg|alt=Sagittal11EDO.jpg|Sagittal11EDO.jpg]]
 
Sagittal and up/down notations are heptatonic systems generated by 5ths (~3/2). Alternative notations include pentatonic 5th-generated, octatonic 5th-generated, nonatonic 5th-generated, heptatonic 3rd-generated, and hexatonic 2nd-generated.


'''<u>Pentatonic 5th-generated:</u>''' '''D * * E G * * A C * * D'''  ([[Sensoid]] generator = wide 3/2 = 7\11 = perfect 5thoid)
'''<u>Pentatonic 5th-generated:</u>''' '''D * * E G * * A C * * D'''  ([[Sensoid]] generator = wide 3/2 = 7\11 = perfect 5thoid)
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genchain of seconds: ... - m3 - m4 - m5 - P6 - P1 - P2 - M3 - M4 - M5 - A6 - A1...
genchain of seconds: ... - m3 - m4 - m5 - P6 - P1 - P2 - M3 - M4 - M5 - A6 - A1...
===Sagittal notation===
This notation is a subset of the notations for EDOs [[22edo#Sagittal notation|22]], [[44edo#Sagittal notation|44]], and [[66edo#Sagittal notation|66]].
====Evo flavor====
<imagemap>
File:11-EDO_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 400 0 560 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 400 106 [[22-EDO#Sagittal_notation | 22-EDO notation]]
default [[File:11-EDO_Evo_Sagittal.svg]]
</imagemap>
====Revo flavor====
<imagemap>
File:11-EDO_Revo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 368 0 528 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 368 106 [[22-EDO#Sagittal_notation | 22-EDO notation]]
default [[File:11-EDO_Revo_Sagittal.svg]]
</imagemap>


== Regular temperament properties ==
== Regular temperament properties ==
=== Uniform maps ===
=== Uniform maps ===
{{Uniform map|13|10.5|11.5}}
{{Uniform map|edo=11}}


=== Commas ===
=== Commas ===
11edo tempers out the following [[comma]]s. (Note: This assumes val {{val| 11 17 26 31 38 41 }}.)
11et [[tempering out|tempers out]] the following [[comma]]s. This assumes val {{val| 11 17 26 31 38 41 }}.


{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br>limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group=note>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
! [[Cent]]s
! [[Cent]]s
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| Layobi
| Layobi
| Major chroma
| Major chroma
|-
| 5
| [[144/125]]
| {{Monzo| 4 2 -3 }}
| 244.97
| Trigu
| University comma
|-
|-
| 5
| 5
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| 31.57
| 31.57
| Lala-tribiyo
| Lala-tribiyo
| [[Ampersand]]'s comma
| [[Ampersand comma]]
|-
|-
| 5
| 5
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| 2.52
| 2.52
| Quinla-seyo
| Quinla-seyo
| [[Vavoom]]
| [[Vavoom comma]]
|-
|-
| 7
| 7
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| 6.99
| 6.99
| Quinru-aquadyo
| Quinru-aquadyo
| Mirkwai
| Mirkwai comma
|-
|-
| 7
| 7
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| Orgonisma
| Orgonisma
|}
|}
<references/>


== Approximation to JI ==
== Approximation to JI ==
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[[File:11edo_approx_2-7-9-11-15-17_2ndsave.png|alt=11edo_approx_2-7-9-11-15-17_2ndsave.png|11edo_approx_2-7-9-11-15-17_2ndsave.png]]
[[File:11edo_approx_2-7-9-11-15-17_2ndsave.png|alt=11edo_approx_2-7-9-11-15-17_2ndsave.png|11edo_approx_2-7-9-11-15-17_2ndsave.png]]


== Scales ==
== Octave stretch or compression ==
Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOS scale|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.
11edo has about equally bad sharp and flat mappings of [[prime]]s 3 and 5. The 7 and 13 are quite sharp, but the 11 is a little flat. To use it as a 2.7.11.13 tuning, slight [[octave shrinking]] is advisable. Examples of slightly compressed versions of 11edo include (least to most compressed) [[ed6|28ed6]], [[ed12|39ed12]], [[zpi|30zpi]], [[equal tuning|35ed9]] and [[ed7|31ed7]].


2\11 generates 2 2 2 2 3, a [[1L 4s]] scale named machine[5]; and 2 2 2 2 2 1, a [[5L 1s]] scale named [[machine]][6].
To use its primes 3 or 5, extreme octave shrinking can be used, at the cost of making the octaves sound significantly weaker. [[equal tuning|37ed10]] is a very compressed version of 11edo.
[[File:Screen Shot 2020-04-23 at 11.32.40 PM.png|none|thumb|1003x1003px]]
3\11 generates 3 3 3 2; and 1 2 1 2 1 2 2, a [[4L 3s]] scale named [[orgone]][7].
[[File:Screen Shot 2020-04-23 at 11.33.13 PM.png|none|thumb|987x987px]]
4\11 generates 4 4 3; 1 3 1 3 3, a [[3L 2s]] scale; and 1 1 2 1 1 2 1 2, a [[3L 5s]] scale.
[[File:Screen Shot 2020-04-23 at 11.33.29 PM.png|none|thumb|970x970px]]
5\11 generates [[joan]] scales 5 5 1; 1 4 1 4 1, a [[2L 3s]] scale; 1 1 3 1 1 3 1, a [[2L 5s]] scale; and 1 1 1 2 1 1 1 2 1, a [[2L 7s]] scale.
[[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]]
See [[11edo Modes]]


=== Pathological modes ===
== Scales ==
2 1 1 1 2 1 1 1 1 [[2L 7s]] MOS
{{Main|11edo modes}}


3 1 1 1 1 1 1 1 1 [[1L 8s]] MOS  
=== MOS scales ===
 
{{Main|List of 11edo MOS scales}}
2 1 1 1 1 1 1 1 1 1 [[1L 9s]] MOS
Although 11edo has one fewer interval in the octave than 12edo, in terms of [[MOS scale|moment-of-symmetry scales]], it offers a great deal more variety. This is because 11 is a prime number, while 12 is composite. Cycles of 2\11 (two degrees of 11edo), 3\11, 4\11 and 5\11 produce scales which do not repeat at the octave until all 11 intervals have been included.


== Instruments ==
== Instruments ==
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[[File:11-edo-ukulele.JPG|alt=11-edo-ukulele.JPG|404x304px|11-edo-ukulele.JPG]]
[[File:11-edo-ukulele.JPG|alt=11-edo-ukulele.JPG|404x304px|11-edo-ukulele.JPG]]


'''Ensembles'''
'''Ensembles'''


In February 2011, [http://oddmusicuc.wordpress.com/ Oddmusic U-C], as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.
In February 2011, [http://oddmusicuc.wordpress.com/ Oddmusic U-C], as part of its Microtonal Design Seminar, generated a 7-piece ensemble for playing music in 11edo. Instrumentation: autotuner, cümbüş, electronic keyboard, kalimba, retrofretted guitar, tuned bottles, udderbot. Recordings forthcoming.


'''Lumatone'''
'''Lumatone'''


There is a [[Lumatone mapping for 11edo]].
[[Lumatone mapping for 11edo|Lumatone mappings for 11edo]] are available.


== Introductory Materials ==
== Introductory Materials ==
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== Music ==
== Music ==
{{Catrel|11edo tracks}}
{{Catrel|11edo tracks}}
=== Strict 11EDO ===
=== 11 equal divisions of the octave (11edo proper) ===
==== Modern renderings ====
; {{W|Arthur Schutt}}
* [https://www.youtube.com/watch?v=GEzxtHILDr8 ''Bluin' The Black Keys''] (1926) – rendered by Francium (2024)
 
==== 20th century ====
; [[George Secor]]
* [http://xenharmony.wikispaces.com/space/showimage/11edo-improv.mp3 First Piece Ever]{{dead link}} (1970) — apparently the first piece ever written for 11edo.
 
; [[Bill Sethares]]
* [https://sethares.engr.wisc.edu/mp3s/dabo_girl.html "The Turquoise Dabo Girl"], from [https://sethares.engr.wisc.edu/xentone.html ''Xentonality''] (1997)
 
==== 21st century ====
; [[Abnormality]]
; [[Abnormality]]
* [https://www.youtube.com/watch?v=G1rUu9qmXkE ''Scatter Brain''] (2024)
* [https://www.youtube.com/watch?v=G1rUu9qmXkE ''Scatter Brain''] (2024)


; [[Christopher Bailey]]
; [[Christopher Bailey]]
* [https://www.youtube.com/watch?v=NU0VvGRelUQ&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=1 "Goopy"], from [https://www.youtube.com/playlist?list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3 ''The Stuffed Ones''] (2004) ([http://christopherbaileymusic.com/composition-list/ details])
* [https://www.youtube.com/playlist?list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3 ''The Stuffed Ones''] (2004) – 4-piece suite ([http://christopherbaileymusic.com/composition-list/ details])
* [https://www.youtube.com/watch?v=4D9wDl_oxHE&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=2 "Ellie"], from ''The Stuffed Ones'' (2004)
** [https://www.youtube.com/watch?v=NU0VvGRelUQ&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=1 "Goopy"] · [https://www.youtube.com/watch?v=4D9wDl_oxHE&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=2 "Ellie"] · [https://www.youtube.com/watch?v=53IiHdXfJwI&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=3 "Ziggy"] · [https://www.youtube.com/watch?v=4sZqpRcB-lk&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=4 "Towelbear"]
* [https://www.youtube.com/watch?v=53IiHdXfJwI&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=3 "Ziggy"], from ''The Stuffed Ones'' (2004)
* [https://www.youtube.com/watch?v=4sZqpRcB-lk&list=PLby8OiGBluOXODbJpiRhzNftxy5-DV-I3&index=4 "Towelbear"], from ''The Stuffed Ones'' (2004)


; [[Jacob Barton]]
; [[Jacob Barton]]
* [https://soundclick.com/share.cfm?id=10267904 "Piece I"], from ''Hyperimprovisations Nuggetwarp'' (2009)
* ''Hyperimprovisations Nuggetwarp'' (2009)
* [https://soundclick.com/share.cfm?id=10267905 "Piece II"], from ''Hyperimprovisations Nuggetwarp'' (2009)
** [https://soundclick.com/share.cfm?id=10267904 "Piece I"] · [https://soundclick.com/share.cfm?id=10267905 "Piece II"] · [https://soundclick.com/share.cfm?id=10267906 "Piece III"]
* [https://soundclick.com/share.cfm?id=10267906 "Piece III"], from ''Hyperimprovisations Nuggetwarp'' (2009)


; [[City of the Asleep]]
; [[City of the Asleep]]
Line 519: Line 532:
; [[Francium]]
; [[Francium]]
* "Tostadosto" from ''The Decatonic Album'' (2024) – [https://open.spotify.com/track/27hl1xKswTuaQG0vIjMHhk Spotify] | [https://francium223.bandcamp.com/track/tostadosto Bandcamp] | [https://www.youtube.com/watch?v=28SOTJvT6sw YouTube]
* "Tostadosto" from ''The Decatonic Album'' (2024) – [https://open.spotify.com/track/27hl1xKswTuaQG0vIjMHhk Spotify] | [https://francium223.bandcamp.com/track/tostadosto Bandcamp] | [https://www.youtube.com/watch?v=28SOTJvT6sw YouTube]
* [https://www.youtube.com/watch?v=hM0BAC_YZnQ ''Sleep Slope''] (2024)
* "Sleep Slope" from ''XenRhythms'' (2024) – [https://open.spotify.com/track/2GnUioPrMlJmMaacE6DK7i Spotify] | [https://francium223.bandcamp.com/track/sleep-slope Bandcamp] | [https://www.youtube.com/watch?v=hM0BAC_YZnQ YouTube]


; [[David Hamill]]
; [[David Hamill]]
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; [[Andrew Heathwaite]]
; [[Andrew Heathwaite]]
* [https://www.soundclick.com/music/songInfo.cfm?songID=933772 ''Orange Clips on Sausages''] (2004) ([http://web.archive.org/web/20201127012301/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+orangeclipsonsausagesin11tet.mp3 archived])
* ''Orange Clips on Sausages'' (2004) – [http://web.archive.org/web/20201127012301/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+orangeclipsonsausagesin11tet.mp3 play] | [https://www.soundclick.com/music/songInfo.cfm?songID=933772 SoundClick]
* [https://www.soundclick.com/music/songInfo.cfm?songID=834492 ''Blue Gel''] (2004) ([http://web.archive.org/web/20201127012646/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+improvisationin11tet.mp3 archived])
* ''Blue Gel'' (2004) – [http://web.archive.org/web/20201127012646/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+improvisationin11tet.mp3 play] | [https://www.soundclick.com/music/songInfo.cfm?songID=834492 SoundClick]
* [https://www.soundclick.com/music/songInfo.cfm?songid=8839070 ''conversation is''] (2010) ([http://web.archive.org/web/20201127012932/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+conversationis.mp3 archived])
* ''conversation is'' (2010) – [http://web.archive.org/web/20201127012932/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+conversationis.mp3 play] | [https://www.soundclick.com/music/songInfo.cfm?songid=8839070 SoundClick]


; [[Hideya]]
; [[Hideya]]
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; [[Aaron Andrew Hunt]]
; [[Aaron Andrew Hunt]]
* [https://aaronandrewhunt.bandcamp.com/track/prelude-in-11et "Prelude in 11ET"], from [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard ''The Equal-Tempered Keyboard''] (1999-2022)
* From [https://aaronandrewhunt.bandcamp.com/album/the-equal-tempered-keyboard ''The Equal-Tempered Keyboard''] (1999–2022)
* [https://aaronandrewhunt.bandcamp.com/track/adagio-in-11et "Adagio in 11ET"], from ''The Equal-Tempered Keyboard'' (1999-2022) ([https://soundcloud.com/uz1kt3k/adagio-in-11et?in=uz1kt3k/sets/adagio-invention-in-11et SoundCloud])
** [https://aaronandrewhunt.bandcamp.com/track/prelude-in-11et "Prelude in 11ET"]
* [https://aaronandrewhunt.bandcamp.com/track/invention-in-11et "Invention in 11ET"], from ''The Equal-Tempered Keyboard'' (1999-2022) ([https://soundcloud.com/uz1kt3k/invention-in-11et?in=uz1kt3k/sets/adagio-invention-in-11et SoundCloud])
** "Adagio in 11ET" – [https://aaronandrewhunt.bandcamp.com/track/adagio-in-11et Bandcamp] | [https://soundcloud.com/uz1kt3k/adagio-in-11et?in=uz1kt3k/sets/adagio-invention-in-11et SoundCloud]{{dead link}}
** "Invention in 11ET" – [https://aaronandrewhunt.bandcamp.com/track/invention-in-11et Bandcamp] | [https://soundcloud.com/uz1kt3k/invention-in-11et?in=uz1kt3k/sets/adagio-invention-in-11et SoundCloud]{{dead link}}


; [[User:Ayceman|Alexandru Ianu]]
; [[User:Ayceman|Alexandru Ianu]]
* [https://youtu.be/8x1f5WFkF4k ''Divertimento in 11 tone Orgone''] (2021) ([[:File:Divertimento in 11 tone Orgone.pdf|sheet music]])
* ''Divertimento in 11 tone Orgone'' (2021) – [[:File:Divertimento in 11 tone Orgone.pdf|sheet music]] | [https://youtu.be/8x1f5WFkF4k YouTube] – orgone in 11edo tuning
* [https://youtu.be/81uZbsmbet8 ''Sylvian Moon Dance''] (2021) ([[:File:SylvianMoonDance.ogg|audio]], [[:File:Sylvian_Moon_Dance.pdf|sheet music]])
* ''Sylvian Moon Dance'' (2021) – [[:File:SylvianMoonDance.ogg|audio]] | [[:File:Sylvian_Moon_Dance.pdf|sheet music]] | [https://youtu.be/81uZbsmbet8 YouTube] – orgone in 11edo tuning
* [https://youtu.be/CWU09fXXy1s ''Ocean of the Necrophages''] (2021) (piano: [[:File:Ocean of the Necrophages (4U UP).ogg|audio]], [[:File:Ocean of the Necrophages.pdf|sheet music]]; strings: [[:File:Ocean of the Necrophages (strings).ogg|audio]], [[:File:Ocean of the Necrophages (strings).pdf|sheet music]])
* ''Ocean of the Necrophages'' (2021) – orgone in 11edo tuning
** Piano: [[:File:Ocean of the Necrophages (4U UP).ogg|audio]] | [[:File:Ocean of the Necrophages.pdf|sheet music]] | [https://youtu.be/CWU09fXXy1s YouTube]
** Strings: [[:File:Ocean of the Necrophages (strings).ogg|audio]] | [[:File:Ocean of the Necrophages (strings).pdf|sheet music]]


; [[Aaron Krister Johnson]]
; [[Aaron Krister Johnson]]
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; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=bqIDxbc21O8 ''Micropiece in 11edo'']
* [https://www.youtube.com/watch?v=bqIDxbc21O8 ''Micropiece in 11edo''] (2020)
* [https://www.youtube.com/watch?v=fwyM3quEzu4 ''Prelude & Fugue in 11edo, in Four Parts, for Recorder, Organ, Cello'']
* [https://www.youtube.com/watch?v=fwyM3quEzu4 ''Prelude & Fugue in 11edo, in Four Parts, for Recorder, Organ, Cello''] (2022)
* [https://www.youtube.com/watch?v=qNqDuAq6O5k ''George Secor · 11EDO improvisation (1971)'']
* [https://www.youtube.com/watch?v=qNqDuAq6O5k ''George Secor · 11EDO improvisation (1971)''] (2022)
 
; [[Joseph Monzo]]
* [https://www.youtube.com/shorts/JMrFUKfqfeY ''Monzo, 2026-0608: 11edo, 11/8 time, piano, musescore3''] (2026)


; [[Mundoworld]]
; [[Mundoworld]]
* [https://www.youtube.com/watch?v=69TiqslCgeg Fire Memes (with Anthony "Pomp" Pompliano)]
* [https://www.youtube.com/watch?v=69TiqslCgeg ''Fire Memes'' (with Anthony "Pomp" Pompliano)] – Machine[6] in 11edo tuning
* [https://www.youtube.com/watch?v=MfNLxcbVzs8 Theory of Creation]
* [https://www.youtube.com/watch?v=MfNLxcbVzs8 ''Theory of Creation''] – Machine[6] in 11edo tuning
* "Search Party" from ''No Fun House'' (2025) – [https://open.spotify.com/track/7CMiwDuuRuFpB0skfwT2Ap Spotify] | [https://mundoworld.bandcamp.com/track/search-party Bandcamp] | [https://www.youtube.com/watch?v=hLs6MjuousI YouTube]
 
; [[User:GlitchyDarkness|No Clue Music]]
* [https://www.youtube.com/watch?v=lPKc1B6YBn4 ''Cursed Star''] (2024)


; [[NullPointerException Music]]
; [[NullPointerException Music]]
* [https://www.youtube.com/watch?v=AbWxZ6yh69s ''Edolian - Overcoming''] (2020)
* [https://www.youtube.com/watch?v=AbWxZ6yh69s "Overcoming"], from [https://www.youtube.com/playlist?list=PLg1YtcJbLxnwTJkG4m0BWZWxIHj7ScdNn ''Edolian''] (2020)
 
; [[User:Phanomium|Phanomium]]
* [https://www.youtube.com/watch?v=y939ciE9MQY ''33322''] (2024)


; [[X. J. Scott]]
; [[X. J. Scott]]
* [https://soundclick.com/share.cfm?id=955383 ''Angkor Wat, September 1066''] (2004)
* [https://soundclick.com/share.cfm?id=955383 ''Angkor Wat, September 1066''] (2004)
; [[George Secor]]
* [http://xenharmony.wikispaces.com/space/showimage/11edo-improv.mp3 First Piece Ever]{{dead link}} (1970) — Apparently the first piece ever written for 11EDO.
; [[Bill Sethares]]
* [https://sethares.engr.wisc.edu/mp3s/dabo_girl.html "The Turquoise Dabo Girl"], from [https://sethares.engr.wisc.edu/xentone.html ''Xentonality''] (1997)


; [[Sevish]]
; [[Sevish]]
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; [[Jon Lyle Smith]]
; [[Jon Lyle Smith]]
* [https://archive.org/details/jls_ArchiveVol2/Jaunt_reMix2012.wav ''Jaunt''] (2012) ([http://web.archive.org/web/20201127014902/http://micro.soonlabel.com/jon-lyle-smith/Jaunt.mp3 archived]) ([https://www.youtube.com/watch?v=HKULte3WhuE YouTube])
* [https://archive.org/details/jls_ArchiveVol2/Jaunt_reMix2012.wav ''Jaunt''] (2012) – [http://web.archive.org/web/20201127014902/http://micro.soonlabel.com/jon-lyle-smith/Jaunt.mp3 play] | [https://www.youtube.com/watch?v=HKULte3WhuE YouTube]
* [http://archive.org/download/CounterpointIn11edo/CounterpointIn11edo.mp3 ''Counterpoint in 11EDO'']{{dead link}}
* [http://archive.org/download/CounterpointIn11edo/CounterpointIn11edo.mp3 ''Counterpoint in 11EDO'']{{dead link}}


; [[Chris Vaisvil]]
; [[Chris Vaisvil]]
* [http://micro.soonlabel.com/11-ET/daily201110-gpo-jeffery-dahmer-cooks.mp3 ''Jeffrey Dahmer Cooks at 11EDO''] (2011)
* [https://web.archive.org/web/20201127012602/http://micro.soonlabel.com/11-ET/daily201110-gpo-jeffery-dahmer-cooks.mp3 ''Jeffrey Dahmer Cooks at 11EDO''] (2011)
* [http://micro.soonlabel.com/11-ET/20110902_prepared_seagull_metamorphis.mp3 ''The Metamorphosis of Gregor''] (2011)
* [https://web.archive.org/web/20201127015348/http://micro.soonlabel.com/11-ET/20110902_prepared_seagull_metamorphis.mp3 ''The Metamorphosis of Gregor''] (2011)
* [http://chrisvaisvil.com/?p=2701 ''Eleven Birds''] (2012) (video and music) ([http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 audio only])
* ''Eleven Birds'' (2012) – [https://www.chrisvaisvil.com/eleven-birds/ blog] | [http://micro.soonlabel.com/11-ET/20120928-piano-11edo-eleven-birds.mp3 play]
* [https://soundcloud.com/vaisvil/the-execution-of-12-equal ''The Execution of 12 Equal'']{{dead link}}
* [https://soundcloud.com/vaisvil/the-execution-of-12-equal ''The Execution of 12 Equal'']{{dead link}}


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* [https://www.youtube.com/watch?v=dwel2K1Bgds ''YG_A''] (2022)
* [https://www.youtube.com/watch?v=dwel2K1Bgds ''YG_A''] (2022)


===Unequal Derivatives of 11EDO===
=== Unequal Derivatives of 11edo ===
;[[Bryan Deister]]
; [[Bryan Deister]]
;* 11 [https://www.youtube.com/watch?v=z0lWcguNsNs Tone March] (2024)
* ''11 Tone March'' (2023/2024)
** [https://www.youtube.com/shorts/K2QVvaRUXIQ <nowiki>[short clip]</nowiki>] (2023, with Lumatone view)
** [https://www.youtube.com/watch?v=z0lWcguNsNs <nowiki>[full version]</nowiki>] (2024, with tuning specification in video description)
 
== Videos ==
== Videos ==
* The Stuffed Ones: ''[https://www.youtube.com/watch?v=NU0VvGRelUQ&feature=related Goopy]'', ''[https://www.youtube.com/watch?v=4D9wDl_oxHE&feature=related Ziggy]'', ''[https://www.youtube.com/watch?v=53IiHdXfJwI&feature=related Ellie]'', ''[https://www.youtube.com/watch?v=4sZqpRcB-lk&feature=related Towelbear]'' by [https://www.youtube.com/user/zipzappoozoo zipzappoozoo]
* The Stuffed Ones: ''[https://www.youtube.com/watch?v=NU0VvGRelUQ&feature=related Goopy]'', ''[https://www.youtube.com/watch?v=4D9wDl_oxHE&feature=related Ziggy]'', ''[https://www.youtube.com/watch?v=53IiHdXfJwI&feature=related Ellie]'', ''[https://www.youtube.com/watch?v=4sZqpRcB-lk&feature=related Towelbear]'' by [https://www.youtube.com/user/zipzappoozoo zipzappoozoo]


* [https://www.youtube.com/watch?v=AhPjsCoMy-Q 11-equal Improvisation]'', [[Mike Battaglia FAQ|Mike Battaglia]] - youtube
* [https://www.youtube.com/watch?v=AhPjsCoMy-Q 11-equal Improvisation]'', [[Mike Battaglia FAQ|Mike Battaglia]] - youtube
* [https://www.youtube.com/watch?v=4WlTPfRDPCY untitled1], computer


== See also ==
== See also ==
* [[11edo Zine]] — There is an 11edo Zine! As far as we know, 11edo is the first xenharmonic tuning system to have its own zine.
* [[11edo Zine]] — There is an 11edo Zine! As far as we know, 11edo is the first xenharmonic tuning system to have its own zine.
* [[Lumatone mapping for 11edo]]
 
== Notes ==
<references group=note/>


[[Category:Listen]]
[[Category:Listen]]
[[Category:Macrotonal]]
{{Todo|add rank 2 temperaments table}}
[[Category:Todo:add rank 2 temperaments table]]
Retrieved from "https://en.xen.wiki/w/11edo"