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==Notation== | ==Notation== | ||
<ul><li>Notatable on a five-line staff with standard,</li></ul> but not in plaintext. | <ul><li>Notatable on a five-line staff with standard,</li></ul> but not in plaintext. | ||
==Commas== | ==Commas== | ||
| Line 27: | Line 22: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | | ! | [[Ratios|Ratio]] | ||
! | | ![[Monzos|Monzo]] | ||
! | [[Cent|Cents]] | |||
! | [[Color notation/Temperament Names|Color Name]] | |||
! | Name | ! | Name | ||
! | Second Name | ! | Second Name | ||
|- | |- | ||
| style="text-align:center;" | 32/27 | | style="text-align:center;" | 32/27 | ||
|<nowiki>| 5 -3 </nowiki>> | |||
| style="text-align:right;" | 294.13 | | style="text-align:right;" | 294.13 | ||
| |Wa | |||
| | Pythagorean minor third | | | Pythagorean minor third | ||
| | | | | | ||
| | | | |- | ||
| style="text-align:center;" | 25/24 | |||
|<nowiki>| -3 -1 2 > </nowiki> | |||
| style="text-align:right;" | 70.67 | |||
| |Yoyo | |||
| |classic chromatic semitone | |||
| | | |||
|- | |- | ||
| style="text-align:center;" | 128/125 | | style="text-align:center;" | 128/125 | ||
|<nowiki>| 7 0 -3 </nowiki>> | |||
| style="text-align:right;" | 41.06 | | style="text-align:right;" | 41.06 | ||
| |Trigu | |||
| | Diesis | | | Diesis | ||
| | Augmented Comma | | | Augmented Comma | ||
|- | |- | ||
| style="text-align:center;" | 3125/3072 | | style="text-align:center;" | 3125/3072 | ||
|<nowiki>| -10 -1 5 </nowiki>> | |||
| style="text-align:right;" | 29.61 | | style="text-align:right;" | 29.61 | ||
| |Laquinyo | |||
| | Small Diesis | | | Small Diesis | ||
| | Magic Comma | | | Magic Comma | ||
|- | |- | ||
| style="text-align:center;" | 393216/390625 | | style="text-align:center;" | 393216/390625 | ||
|<nowiki>| 17 1 -8 </nowiki>> | |||
| style="text-align:right;" | 11.45 | | style="text-align:right;" | 11.45 | ||
| |Saquadbigu | |||
| | Wuerschmidt Comma | | | Wuerschmidt Comma | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 2783927/2773137 | | style="text-align:center;" | 2783927/2773137 | ||
|<nowiki>| -44 -3 21 </nowiki>> | |||
| style="text-align:right;" | 6.72 | | style="text-align:right;" | 6.72 | ||
| |Trila-septriyo | |||
| | Mutt Comma | | | Mutt Comma | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 49/48 | | style="text-align:center;" | 49/48 | ||
|<nowiki>| -4 -1 0 2 </nowiki>> | |||
| style="text-align:right;" | 35.70 | | style="text-align:right;" | 35.70 | ||
| |Zozo | |||
| | Slendro Diesis | | | Slendro Diesis | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 50/49 | | style="text-align:center;" | 50/49 | ||
|<nowiki>| 1 0 2 -2 </nowiki>> | |||
| style="text-align:right;" | 34.98 | | style="text-align:right;" | 34.98 | ||
| |Biruyo | |||
| | Tritonic Diesis | | | Tritonic Diesis | ||
| | Jubilisma | | | Jubilisma | ||
|- | |- | ||
| style="text-align:center;" | 3136/3125 | | style="text-align:center;" | 3136/3125 | ||
|<nowiki>| 6 0 -5 2 </nowiki>> | |||
| style="text-align:right;" | 6.08 | | style="text-align:right;" | 6.08 | ||
| |Zozoquingu | |||
| | Hemimean | | | Hemimean | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 6144/6125 | | style="text-align:center;" | 6144/6125 | ||
|<nowiki>| 11 1 -3 -2 </nowiki>> | |||
| style="text-align:right;" | 5.36 | | style="text-align:right;" | 5.36 | ||
| |Sarurutrigu | |||
| | Porwell | | | Porwell | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 2401/2400 | | style="text-align:center;" | 2401/2400 | ||
|<nowiki>| -5 -1 -2 4 </nowiki>> | |||
| style="text-align:right;" | 0.72 | | style="text-align:right;" | 0.72 | ||
| |Bizozogu | |||
| | Breedsma | | | Breedsma | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 121/120 | | style="text-align:center;" | 121/120 | ||
|<nowiki>| -3 -1 -1 0 2 </nowiki>> | |||
| style="text-align:right;" | 14.37 | | style="text-align:right;" | 14.37 | ||
| |Lologu | |||
| | Biyatisma | | | Biyatisma | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 176/175 | | style="text-align:center;" | 176/175 | ||
|<nowiki>| 4 0 -2 -1 1 </nowiki>> | |||
| style="text-align:right;" | 9.86 | | style="text-align:right;" | 9.86 | ||
| |Lorugugu | |||
| | Valinorsma | | | Valinorsma | ||
| | | | | | ||
|- | |- | ||
| style="text-align:center;" | 385/384 | | style="text-align:center;" | 385/384 | ||
|<nowiki>| -7 -1 1 1 1 </nowiki>> | |||
| style="text-align:right;" | 4.50 | | style="text-align:right;" | 4.50 | ||
| |Lozoyo | |||
| | Keenanisma | | | Keenanisma | ||
| | | | | | ||
|} | |} | ||
==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 | |||
[[Category:6-tone]] | [[Category:6-tone]] | ||
Revision as of 05:20, 13 December 2019
6 Equal Divisions of the Octave
"whole tone"
6-EDO divides the 1200-cent octave into 6 equal parts, making its smallest interval exactly 200¢, or the sixth root of 2.
Related EDOs
Notation
- Notatable on a five-line staff with standard,
but not in plaintext.
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 | Sarurutrigu | 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
Dvandva by Milan Guštar.
The Good Boundless by Chris Vaisvil