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| ja = 6平均律
| ja = 6平均律
}}
}}
=Theory=
'''6-EDO''' divides the 1200-[[cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation.


'''6-EDO''' divides the 1200-[[cent]] octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation.
Related EDOs:
* Subset: [[2edo]], [[3edo]]
* Supersets: [[12edo]], [[18edo]], [[24edo]]...
* Neighbours: [[5edo]], [[7edo]]


Related EDOs:<ul><li>Subset: [[2edo|2EDO]], [[3edo|3EDO]]</li><li>Supersets: [[12edo|12EDO]], [[18edo|18EDO]], [[24edo|24EDO]]...</li><li>Neighbours: [[5edo|5EDO]], [[7edo|7EDO]]</li></ul>
== Commas ==


==Commas==
6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)
6 EDO tempers out the following commas. (Note: This assumes val &lt; 6 10 14 17 21 22 |.)


{| class="wikitable"
{| class="wikitable center-1 right-3"
|-
|-
! | [[Ratios|Ratio]]
! [[Ratio]]
![[Monzos|Monzo]]
! [[Monzo]]
! | [[Cent|Cents]]
! [[Cent]]s
! | [[Color notation/Temperament Names|Color Name]]
! [[Color name]]
! | Name
! Name
! | Second Name
! Second Name
|-
|-
| style="text-align:center;" | 32/27
| [[32/27]]
|<nowiki>| 5 -3 </nowiki>&gt;
| {{Monzo| 5 -3 }}
| style="text-align:right;" | 294.13
| 294.13
| |Wa
| Wa
| | Pythagorean minor third
| Pythagorean minor third
| |  
|
|-
|-
| style="text-align:center;" | 25/24
| [[25/24]]
|<nowiki>| -3 -1 2 > </nowiki>
| {{Monzo| -3 -1 2 }}
| style="text-align:right;" | 70.67
| 70.67
| |Yoyo
| Yoyo
| |classic chromatic semitone
| classic chromatic semitone
| |
|
|-
|-
| style="text-align:center;" | 128/125
| [[128/125]]
|<nowiki>| 7 0 -3 </nowiki>&gt;
| {{Monzo| 7 0 -3 }}
| style="text-align:right;" | 41.06
| 41.06
| |Trigu
| Trigu
| | Diesis
| Diesis
| | Augmented Comma
| Augmented Comma
|-
|-
| style="text-align:center;" | 3125/3072
| [[3125/3072]]
|<nowiki>| -10 -1 5 </nowiki>&gt;
| {{Monzo| -10 -1 5 }}
| style="text-align:right;" | 29.61
| 29.61
| |Laquinyo
| Laquinyo
| | Small Diesis
| Small Diesis
| | Magic Comma
| Magic Comma
|-
|-
| style="text-align:center;" | 393216/390625
| [[393216/390625]]
|<nowiki>| 17 1 -8 </nowiki>&gt;
| {{Monzo| 17 1 -8 }}
| style="text-align:right;" | 11.45
| 11.45
| |Saquadbigu
| Saquadbigu
| | Wuerschmidt Comma
| Wuerschmidt Comma
| |  
|
|-
|-
| style="text-align:center;" | 2783927/2773137
| 2783927/2773137
|<nowiki>| -44 -3 21 </nowiki>&gt;
| {{Monzo| -44 -3 21 }}
| style="text-align:right;" | 6.72
| 6.72
| |Trila-septriyo
| Trila-septriyo
| | Mutt Comma
| Mutt Comma
| |  
|
|-
|-
| style="text-align:center;" | 49/48
| [[49/48]]
|<nowiki>| -4 -1 0 2 </nowiki>&gt;
| {{Monzo| -4 -1 0 2 }}
| style="text-align:right;" | 35.70
| 35.70
| |Zozo
| Zozo
| | Slendro Diesis
| Slendro Diesis
| |  
|
|-
|-
| style="text-align:center;" | 50/49
| [[50/49]]
|<nowiki>| 1 0 2 -2 </nowiki>&gt;
| {{Monzo| 1 0 2 -2 }}
| style="text-align:right;" | 34.98
| 34.98
| |Biruyo
| Biruyo
| | Tritonic Diesis
| Tritonic Diesis
| | Jubilisma
| Jubilisma
|-
|-
| style="text-align:center;" | 3136/3125
| [[3136/3125]]
|<nowiki>| 6 0 -5 2 </nowiki>&gt;
| {{Monzo| 6 0 -5 2 }}
| style="text-align:right;" | 6.08
| 6.08
| |Zozoquingu
| Zozoquingu
| | Hemimean
| Hemimean
| |  
|
|-
|-
| style="text-align:center;" | 6144/6125
| 6144/6125
|<nowiki>| 11 1 -3 -2 </nowiki>&gt;
| {{Monzo| 11 1 -3 -2 }}
| style="text-align:right;" | 5.36
| 5.36
| |Sarurutrigu
| arurutrigu
| | Porwell
| Porwell
| |  
|
|-
|-
| style="text-align:center;" | 2401/2400
| [[2401/2400]]
|<nowiki>| -5 -1 -2 4 </nowiki>&gt;
| {{Monzo| -5 -1 -2 4 }}
| style="text-align:right;" | 0.72
| 0.72
| |Bizozogu
| Bizozogu
| | Breedsma
| Breedsma
| |  
|
|-
|-
| style="text-align:center;" | 121/120
| [[121/120]]
|<nowiki>| -3 -1 -1 0 2 </nowiki>&gt;
| {{Monzo| -3 -1 -1 0 2 }}
| style="text-align:right;" | 14.37
| 14.37
| |Lologu
| Lologu
| | Biyatisma
| Biyatisma
| |  
|
|-
|-
| style="text-align:center;" | 176/175
| 176/175
|<nowiki>| 4 0 -2 -1 1 </nowiki>&gt;
| {{Monzo| 4 0 -2 -1 1 }}
| style="text-align:right;" | 9.86
| 9.86
| |Lorugugu
| Lorugugu
| | Valinorsma
| Valinorsma
| |  
|
|-
|-
| style="text-align:center;" | 385/384
| [[385/384]]
|<nowiki>| -7 -1 1 1 1 </nowiki>&gt;
| {{Monzo| -7 -1 1 1 1 }}
| style="text-align:right;" | 4.50
| 4.50
| |Lozoyo
| Lozoyo
| | Keenanisma
| Keenanisma
| |  
|
|}
|}


==Music==
== Music ==
[http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html Dvandva] by Milan Guštar.


[http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3 The Good Boundless] by Chris Vaisvil
* [http://www.uvnitr.cz/flaoyg/forgotten_works/dvandva.html Dvandva] by Milan Guštar.
* [http://micro.soonlabel.com/6edo/the-good-boundless-03.mp3 The Good Boundless] by Chris Vaisvil
* [https://soundcloud.com/uz1kt3k/prelude-in-6et Prelude In 6ET &#124; SoundCloud] by [[Aaron Andrew Hunt]]
* [https://soundcloud.com/uz1kt3k/invention-in-6et Invention In 6ET &#124; SoundCloud] by Aaron Andrew Hunt


[[Category:6-tone]]
[[Category:6-tone]]
[[Category:6edo]]
[[Category:6edo]]
[[Category:edo]]
[[Category:Edo]]
[[Category:listen]]
[[Category:Listen]]
[[Category:macrotonal]]
[[Category:Macrotonal]]
[[Category:scale]]
[[Category:Scale]]
[[Category:subgroup]]
[[Category:Subgroup]]
[[Category:todo:unify_precision]]

Revision as of 21:10, 21 October 2020

6-EDO divides the 1200-cent octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2. It's known as the "whole tone" scale. As a subset of 12-edo, it can be notated on a five-line staff with standard notation.

Related EDOs:

Commas

6 EDO tempers out the following commas. (Note: This assumes val < 6 10 14 17 21 22 |.)

Ratio Monzo Cents Color name Name Second Name
32/27 [5 -3⟩ 294.13 Wa Pythagorean minor third
25/24 [-3 -1 2⟩ 70.67 Yoyo classic chromatic semitone
128/125 [7 0 -3⟩ 41.06 Trigu Diesis Augmented Comma
3125/3072 [-10 -1 5⟩ 29.61 Laquinyo Small Diesis Magic Comma
393216/390625 [17 1 -8⟩ 11.45 Saquadbigu Wuerschmidt Comma
2783927/2773137 [-44 -3 21⟩ 6.72 Trila-septriyo Mutt Comma
49/48 [-4 -1 0 2⟩ 35.70 Zozo Slendro Diesis
50/49 [1 0 2 -2⟩ 34.98 Biruyo Tritonic Diesis Jubilisma
3136/3125 [6 0 -5 2⟩ 6.08 Zozoquingu Hemimean
6144/6125 [11 1 -3 -2⟩ 5.36 arurutrigu Porwell
2401/2400 [-5 -1 -2 4⟩ 0.72 Bizozogu Breedsma
121/120 [-3 -1 -1 0 2⟩ 14.37 Lologu Biyatisma
176/175 [4 0 -2 -1 1⟩ 9.86 Lorugugu Valinorsma
385/384 [-7 -1 1 1 1⟩ 4.50 Lozoyo Keenanisma

Music

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