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__FORCETOC__
__FORCETOC__
-----
== Compositions ==
* [https://soundcloud.com/overtoneshock/underwater-spontaniety-20-edo Underwater Spontaniety] (lo-fi ambient) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [https://soundcloud.com/overtoneshock/gods-favorite-tuning-20-edo God's Favorite Tuning] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [https://soundcloud.com/overtoneshock/you-lied-and-im-not-mentioning-your-name-20-edo?in=overtoneshock/sets/xenharmonic-microtonal You Lied, and I'm not Mentioning your Name] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [http://www.io.com/%7Ehmiller/midi/20tet.mid Etude in 20-tone equal tuning] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3 play] by [[Herman Miller]]
* [http://aaronandrewhunt.zentral.zone/mp3/20ETPreludeFugue.mp3 20ET — Prelude & Fugue a3] by [[Aaron Hunt]]
* [http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=933696 We Call It Sharing Breath] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3 play] by [[Andrew Heathwaite]]
* [http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/ The Walrus and the Carpenter] by[[Chris Vaisvil]] and Bethan Mathis
* [http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/ 20 edo Electric Guitar Improvisation] by[[Chris Vaisvil]]
* [http://chrisvaisvil.com/gobekli-tepe-20-edo-guitar-solo/ Göbekli Tepe (20 edo guitar solo)] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/a-paradigm-shift-20-edo/ A Paradigm Shift (20 edo)] by [[Chris Vaisvil]]
* [https://www.youtube.com/watch?v=8PCe5u4QsRg Composition for unconventional tempered clavier] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=zQDNqnYqCHg 5 compositions for violin and clavier in 20-EDO] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=duJHUo_ACgk Composition for cello and clavier in 20-tone equal temperament] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=u6k4lgCnHqs 5 compositions for violin and clavier in 20-tone equal temperament] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
== Intervals ==
== Intervals ==


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{| class="wikitable" style="text-align:center;"
{| class="wikitable" style="text-align:center;"
|-
|-
! Degree
! [[Degree]]
! Cents
! [[Cents]]
! Approximate Ratios
! Approximate Ratios
! colspan="3" | [[Ups and Downs Notation]]
! colspan="3" | [[Ups and Downs Notation]]
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| style="text-align:right;" | 60
| style="text-align:right;" | 60
| 29/28
| 29/28
| upminor 2nd
| up unison, upminor 2nd
| ^m2
| ^1, ^m2
| D^
| ^D, ^Eb
| 33
| 33
|-
|-
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| style="text-align:right;" | 120
| style="text-align:right;" | 120
| 14/13, 15/14
| 14/13, 15/14
| mid 2nd
| double-up unison, mid 2nd
| ~2
| ^^1, ~2
| D^^, Evv
| ^^D, vvE
| 69
| 69
|-
|-
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| downmajor 2nd
| downmajor 2nd
| vM2
| vM2
| Ev
| vE
| 71
| 71
|-
|-
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| upminor 3rd
| upminor 3rd
| ^m3
| ^m3
| F^
| ^F
| 19
| 19
|-
|-
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| mid 3rd
| mid 3rd
| ~3
| ~3
| F^^
| ^^F, vvF#
| 79
| 79
|-
|-
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| downmajor 3rd
| downmajor 3rd
| vM3
| vM3
| F#v
| vF#
| 41
| 41
|-
|-
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| up-fourth
| up-fourth
| ^4
| ^4
| G^
| ^G
| 11
| 11
|-
|-
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| double-up fourth, double-down fifth
| double-up fourth, double-down fifth
| ^^4, vv5
| ^^4, vv5
| G^^, Avv
| ^^G, vvA
| 91
| 91
|-
|-
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| down-fifth
| down-fifth
| v5
| v5
| Av
| vA
| 47
| 47
|-
|-
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| style="text-align:right;" | 780
| style="text-align:right;" | 780
| 11/7, 25/16
| 11/7, 25/16
| upminor 6th
| upfifth, upminor 6th
| ^m6
| ^5, ^m6
| A^
| ^A, ^Bb
| 25
| 25
|-
|-
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| mid 6th
| mid 6th
| ~6
| ~6
| A^^, Bvv
| ^^A, vvB
| 13
| 13
|-
|-
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| downmajor 6th
| downmajor 6th
| vM6
| vM6
| Bv
| vB
| 27
| 27
|-
|-
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| upminor 7th
| upminor 7th
| ^m7
| ^m7
| C^
| ^C
| 115
| 115
|-
|-
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| mid 7th
| mid 7th
| ~7
| ~7
| C^^, Dvv
| ^^C, vvD
| 15
| 15
|-
|-
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| downmajor 7th
| downmajor 7th
| vM7
| vM7
| Dv
| vD
| 31
| 31
|-
|-
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20edo chord names using ups and downs:
20edo chord names using ups and downs:
* 0-4-12 = D E A = Dsus2 = "D sus 2", or D F A = Dm = "D minor"
* 0-4-12 = D E A = Dsus2 = "D sus 2", or D F A = Dm = "D minor"
* 0-5-12 = D F^ A = D.^m = "D upminor"
* 0-5-12 = D ^F A = D^m = "D upminor"
* 0-6-12 = D F^^ A = D.~ = "D mid"
* 0-6-12 = D ^^F A = D~ = "D mid"
* 0-7-12 = D F#v A = D.v = "D dot down" or "D downmajor"
* 0-7-12 = D vF# A = Dv = "D down" or "D downmajor"
* 0-8-12 = D G A = Dsus4, or D F# A = D = "D" or "D major"
* 0-8-12 = D G A = Dsus4, or D F# A = D = "D" or "D major"
* 0-4-12-16 = D F A C = Dm7 = "D minor seven", or D F A B = Dm6 = "D minor six"
* 0-4-12-16 = D F A C = Dm7 = "D minor seven", or D F A B = Dm6 = "D minor six"
* 0-5-12-16 = D F^ A C = Dm7(^3) = "D minor seven up-three", or D F^ A B = Dm6(^3) = "D minor six up-three"
* 0-5-12-16 = D ^F A C = Dm7(^3) = "D minor seven up-three", or D ^F A B = Dm6(^3) = "D minor six up-three"
* 0-6-12-16 = D F^^ A C = D7(~3) = "D seven mid-three", or D F^ A B = D6(~3) = "D six mid-three"
* 0-6-12-16 = D ^^F A C = D7(~3) = "D seven mid-three", or D ^F A B = D6(~3) = "D six mid-three"
* 0-7-12-16 = D F#v A C = D7(v3) = "D seven down-three", or D F#v A B = D6(v3) = "D six down-three"
* 0-7-12-16 = D vF# A C = D7(v3) = "D seven down-three", or D vF# A B = D6(v3) = "D six down-three"
* 0-8-12-16 = D F# A C = D7 = "D seven", or D F# A B = D6 = "D six"
* 0-8-12-16 = D F# A C = D7 = "D seven", or D F# A B = D6 = "D six"
* 0-7-12-19 = D F#v A C#v = D.vM7 = "D downmajor seven"
* 0-7-12-19 = D vF# A vC# = DvM7 = "D downmajor seven"
* 0-5-12-17 = D F^ A C^ = D.^m7 = "D dot up minor-seven", or D F^ A B^ = D.^m6 = "D dot up minor-six"
* 0-5-12-17 = D ^F A ^C = D^m7 = "D upminor-seven", or D ^F A ^B = D^m6 = "D upminor-six"


For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]]. Because many intervals have several names, many chords do too.
For a more complete list, see [[Ups and Downs Notation#Chords and Chord Progressions|Ups and Downs Notation - Chords and Chord Progressions]]. Because many intervals have several names, many chords do too.


== Modes ==
== Modes ==
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{| class="wikitable" style="text-align:center;"
{| class="wikitable" style="text-align:center;"
|-
|-
! Rational
! [[Ratio]]
! Monzo
! [[Monzo]]
! Size (Cents)
! [[Cents]]
! [[Color notation/Temperament Names|Color Name]]
! Name 1
! Name 1
! Name 2
! Name 2
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| {{Monzo| 8 -5 }}
| {{Monzo| 8 -5 }}
| style="text-align:right;" | 90.22
| style="text-align:right;" | 90.22
|Sawa
| [[Limma]]
| [[Limma]]
| Pythagorean Minor 2nd
| Pythagorean Minor 2nd
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| {{Monzo| -14 3 4 }}
| {{Monzo| -14 3 4 }}
| style="text-align:right;" | 51.12
| style="text-align:right;" | 51.12
|Laquadyo
| Negri Comma
| Negri Comma
| Double Augmentation Diesis
| Double Augmentation Diesis
|
|
|-
|-
| 9931568/9752117
|34171875/33554432
| {{Monzo| -25 7 6 }}
| {{Monzo| -25 7 6 }}
| style="text-align:right;" | 31.57
| style="text-align:right;" | 31.57
|Lala-tribiyo
| Ampersand's Comma
| Ampersand's Comma
|
|
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| {{Monzo| 11 -4 -2 }}
| {{Monzo| 11 -4 -2 }}
| style="text-align:right;" | 19.55
| style="text-align:right;" | 19.55
|Sagugu
| Diaschisma
| Diaschisma
|
|
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| {{Monzo| -9 1 2 1 }}
| {{Monzo| -9 1 2 1 }}
| style="text-align:right;" | 43.41
| style="text-align:right;" | 43.41
|Lazoyoyo
| Avicennma
| Avicennma
| Avicenna's Enharmonic Diesis
| Avicenna's Enharmonic Diesis
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| {{Monzo| -4 -1 0 2 }}
| {{Monzo| -4 -1 0 2 }}
| style="text-align:right;" | 35.70
| style="text-align:right;" | 35.70
|Zozo
| Slendro Diesis
| Slendro Diesis
|
|
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| {{Monzo| 1 0 2 -2 }}
| {{Monzo| 1 0 2 -2 }}
| style="text-align:right;" | 34.98
| style="text-align:right;" | 34.98
|Biruyo
| Tritonic Diesis
| Tritonic Diesis
| Jubilisma
| Jubilisma
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| {{Monzo| 1 -3 -2 3 }}
| {{Monzo| 1 -3 -2 3 }}
| style="text-align:right;" | 27.99
| style="text-align:right;" | 27.99
|Trizo-agugu
| Senga
| Senga
|
|
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| {{Monzo| 6 -2 0 -1 }}
| {{Monzo| 6 -2 0 -1 }}
| style="text-align:right;" | 27.26
| style="text-align:right;" | 27.26
|Ru
| Septimal Comma
| Septimal Comma
| Archytas' Comma
| Archytas' Comma
| Leipziger Komma
| Leipziger Komma
|-
|-
| 9859966/9733137
| 854296875/843308032
| {{Monzo| -10 7 8 -7 }}
| {{Monzo| -10 7 8 -7 }}
| style="text-align:right;" | 22.41
| style="text-align:right;" | 22.41
|Lasepru-aquadbiyo
| Blackjackisma
| Blackjackisma
|
|
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| {{Monzo| -10 1 0 3 }}
| {{Monzo| -10 1 0 3 }}
| style="text-align:right;" | 8.43
| style="text-align:right;" | 8.43
|Latrizo
| Gamelisma
| Gamelisma
|
|
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| {{Monzo| -5 2 2 -1 }}
| {{Monzo| -5 2 2 -1 }}
| style="text-align:right;" | 7.71
| style="text-align:right;" | 7.71
|Ruyoyo
| Septimal Kleisma
| Septimal Kleisma
| Marvel Comma
| Marvel Comma
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| {{Monzo| 0 3 4 -5 }}
| {{Monzo| 0 3 4 -5 }}
| style="text-align:right;" | 6.99
| style="text-align:right;" | 6.99
|Quinru-aquadyo
| Mirkwai
| Mirkwai
|
|
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| {{Monzo| 11 -10 -10 10 }}
| {{Monzo| 11 -10 -10 10 }}
| style="text-align:right;" | 5.57
| style="text-align:right;" | 5.57
|Saquinbizogu
| Linus
| Linus
|
|
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| {{Monzo| -3 -1 -1 0 2 }}
| {{Monzo| -3 -1 -1 0 2 }}
| style="text-align:right;" | 14.37
| style="text-align:right;" | 14.37
|Lologu
| Biyatisma
| Biyatisma
|
|
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| {{Monzo| -1 -2 -1 1 0 1 }}
| {{Monzo| -1 -2 -1 1 0 1 }}
| style="text-align:right;" | 19.13
| style="text-align:right;" | 19.13
|Thozogu
| Superleap
| Superleap
|
|
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|-
|-
| 2401/2400
| 2401/2400
| {{Monzo| -5 -1 2 4 }}
| {{Monzo| -5 -1 -2 4 }}
| style="text-align:right;" | 0.72
| style="text-align:right;" | 0.72
|Bizozogu
| Breedsma
| Breedsma
|
|
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| {{Monzo| 2 -3 -2 0 0 2 }}
| {{Monzo| 2 -3 -2 0 0 2 }}
| style="text-align:right;" | 2.56
| style="text-align:right;" | 2.56
|Bithogu
| Parizeksma
| Parizeksma
|
|
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{{External Image| http://ronsword.com/images/20_tet_Coversm.jpg {{dead link}} }}
{{External Image| http://ronsword.com/images/20_tet_Coversm.jpg {{dead link}} }}
[http://www.ronsword.com/ "Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more] by [[Ron Sword]] {{dead link}}
[http://www.ronsword.com/ "Icosaphonic Scales for Guitar" - Theory / Scale book with above modes and more] by [[Ron Sword]] {{dead link}}
== Music ==
* [https://soundcloud.com/overtoneshock/underwater-spontaniety-20-edo Underwater Spontaniety] (lo-fi ambient) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [https://soundcloud.com/overtoneshock/gods-favorite-tuning-20-edo God's Favorite Tuning] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [https://soundcloud.com/overtoneshock/you-lied-and-im-not-mentioning-your-name-20-edo?in=overtoneshock/sets/xenharmonic-microtonal You Lied, and I'm not Mentioning your Name] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]
* [http://www.io.com/%7Ehmiller/midi/20tet.mid Etude in 20-tone equal tuning] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/20-et-Pianoteq-Schantz.mp3 play] by [[Herman Miller]]
* [http://aaronandrewhunt.zentral.zone/mp3/20ETPreludeFugue.mp3 20ET — Prelude & Fugue a3] by [[Aaron Hunt]]
* [http://www.soundclick.com/bands/page_songInfo.cfm?bandID=122613&songID=933696 We Call It Sharing Breath] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Heathwaite/andrewheathwaite+wecallitsharingbreathin20tet.mp3 play] by [[Andrew Heathwaite]]
* [http://chrisvaisvil.com/the-walrus-and-the-carpenter-from-bethan-reads-in-20edo/ The Walrus and the Carpenter] by[[Chris Vaisvil]] and Bethan Mathis
* [http://chrisvaisvil.com/clean-20-edo-electric-guitar-improvisation/ 20 edo Electric Guitar Improvisation] by[[Chris Vaisvil]]
* [http://chrisvaisvil.com/gobekli-tepe-20-edo-guitar-solo/ Göbekli Tepe (20 edo guitar solo)] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/a-paradigm-shift-20-edo/ A Paradigm Shift (20 edo)] by [[Chris Vaisvil]]
* [https://www.youtube.com/watch?v=8PCe5u4QsRg Composition for unconventional tempered clavier] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=zQDNqnYqCHg 5 compositions for violin and clavier in 20-EDO] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=duJHUo_ACgk Composition for cello and clavier in 20-tone equal temperament] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]
* [https://www.youtube.com/watch?v=u6k4lgCnHqs 5 compositions for violin and clavier in 20-tone equal temperament] by [http://chernobrivets.ru/en/ Pyotr Chernobrivets]


[[Category:20edo]]
[[Category:20edo]]
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