6edo: Difference between revisions
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m →Commas: Formatting |
→Commas: rework ratio column to 10-digit limit |
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! [[Harmonic limit|Prime<br>Limit]] | ! [[Harmonic limit|Prime<br>Limit]] | ||
! [[Ratio]] | ! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cent]]s | ! [[Cent]]s | ||
| Line 54: | Line 54: | ||
|- | |- | ||
| 5 | | 5 | ||
| [[393216/390625]] | | [[393216/390625|(12 digits)]] | ||
| {{Monzo| 17 1 -8 }} | | {{Monzo| 17 1 -8 }} | ||
| 11.45 | | 11.45 | ||
| Saquadbigu | | Saquadbigu | ||
| Würschmidt comma | | [[Würschmidt comma]] | ||
|- | |- | ||
| 5 | | 5 | ||
| [[ | | [[476837158203125/474989023199232|(30 digits)]] | ||
| {{Monzo| -44 -3 21 }} | | {{Monzo| -44 -3 21 }} | ||
| 6.72 | | 6.72 | ||
| Trila-septriyo | | Trila-septriyo | ||
| Mutt comma | | [[Mutt comma]] | ||
|- | |- | ||
| 7 | | 7 | ||
| Line 123: | Line 123: | ||
| Keenanisma | | Keenanisma | ||
|} | |} | ||
<references/> | |||
== Music == | == Music == | ||
Revision as of 12:10, 20 December 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. This assumes val ⟨6 10 14 17 21 22].
| Prime Limit |
Ratio[1] | Monzo | Cents | Color name | Name(s) |
|---|---|---|---|---|---|
| 3 | 32/27 | [5 -3⟩ | 294.13 | Wa | Pythagorean minor third |
| 5 | 25/24 | [-3 -1 2⟩ | 70.67 | Yoyo | Classic chromatic semitone |
| 5 | 128/125 | [7 0 -3⟩ | 41.06 | Trigu | Diesis, augmented comma |
| 5 | 3125/3072 | [-10 -1 5⟩ | 29.61 | Laquinyo | Small diesis, magic comma |
| 5 | (12 digits) | [17 1 -8⟩ | 11.45 | Saquadbigu | Würschmidt comma |
| 5 | (30 digits) | [-44 -3 21⟩ | 6.72 | Trila-septriyo | Mutt comma |
| 7 | 49/48 | [-4 -1 0 2⟩ | 35.70 | Zozo | Slendro diesis |
| 7 | 50/49 | [1 0 2 -2⟩ | 34.98 | Biruyo | Tritonic diesis, jubilisma |
| 7 | 3136/3125 | [6 0 -5 2⟩ | 6.08 | Zozoquingu | Hemimean |
| 7 | 6144/6125 | [11 1 -3 -2⟩ | 5.36 | arurutrigu | Porwell |
| 7 | 2401/2400 | [-5 -1 -2 4⟩ | 0.72 | Bizozogu | Breedsma |
| 11 | 121/120 | [-3 -1 -1 0 2⟩ | 14.37 | Lologu | Biyatisma |
| 11 | 176/175 | [4 0 -2 -1 1⟩ | 9.86 | Lorugugu | Valinorsma |
| 11 | 385/384 | [-7 -1 1 1 1⟩ | 4.50 | Lozoyo | Keenanisma |
- ↑ Ratios longer than 10 digits are presented by placeholders with informative hints
Music
- Dvandva by Milan Guštar.
- The Good Boundless by Chris Vaisvil
- Prelude In 6ET | SoundCloud by Aaron Andrew Hunt
- Invention In 6ET | SoundCloud by Aaron Andrew Hunt