6edo: Difference between revisions
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m →Commas: More cleanup |
→Commas: +prime limit column |
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| Line 18: | Line 18: | ||
{| class="wikitable center-1 right-3 center-4" | {| class="wikitable center-1 right-3 center-4" | ||
|- | |- | ||
! [[Harmonic limit|Prime<br>Limit]] | |||
! [[Ratio]] | ! [[Ratio]] | ||
! [[Monzo]] | ! [[Monzo]] | ||
| Line 24: | Line 25: | ||
! Name(s) | ! Name(s) | ||
|- | |- | ||
| 3 | |||
| [[32/27]] | | [[32/27]] | ||
| {{Monzo| 5 -3 }} | | {{Monzo| 5 -3 }} | ||
| Line 30: | Line 32: | ||
| Pythagorean minor third | | Pythagorean minor third | ||
|- | |- | ||
| 5 | |||
| [[25/24]] | | [[25/24]] | ||
| {{Monzo| -3 -1 2 }} | | {{Monzo| -3 -1 2 }} | ||
| Line 36: | Line 39: | ||
| Classic chromatic semitone | | Classic chromatic semitone | ||
|- | |- | ||
| 5 | |||
| [[128/125]] | | [[128/125]] | ||
| {{Monzo| 7 0 -3 }} | | {{Monzo| 7 0 -3 }} | ||
| Line 42: | Line 46: | ||
| Diesis, augmented comma | | Diesis, augmented comma | ||
|- | |- | ||
| 5 | |||
| [[3125/3072]] | | [[3125/3072]] | ||
| {{Monzo| -10 -1 5 }} | | {{Monzo| -10 -1 5 }} | ||
| Line 48: | Line 53: | ||
| Small diesis, magic comma | | Small diesis, magic comma | ||
|- | |- | ||
| 5 | |||
| [[393216/390625]] | | [[393216/390625]] | ||
| {{Monzo| 17 1 -8 }} | | {{Monzo| 17 1 -8 }} | ||
| Line 54: | Line 60: | ||
| Würschmidt comma | | Würschmidt comma | ||
|- | |- | ||
| 5 | |||
| [[Mutt comma|…]] | | [[Mutt comma|…]] | ||
| {{Monzo| -44 -3 21 }} | | {{Monzo| -44 -3 21 }} | ||
| Line 60: | Line 67: | ||
| Mutt comma | | Mutt comma | ||
|- | |- | ||
| 7 | |||
| [[49/48]] | | [[49/48]] | ||
| {{Monzo| -4 -1 0 2 }} | | {{Monzo| -4 -1 0 2 }} | ||
| Line 66: | Line 74: | ||
| Slendro diesis | | Slendro diesis | ||
|- | |- | ||
| 7 | |||
| [[50/49]] | | [[50/49]] | ||
| {{Monzo| 1 0 2 -2 }} | | {{Monzo| 1 0 2 -2 }} | ||
| Line 72: | Line 81: | ||
| Tritonic diesis, jubilisma | | Tritonic diesis, jubilisma | ||
|- | |- | ||
| 7 | |||
| [[3136/3125]] | | [[3136/3125]] | ||
| {{Monzo| 6 0 -5 2 }} | | {{Monzo| 6 0 -5 2 }} | ||
| Line 78: | Line 88: | ||
| Hemimean | | Hemimean | ||
|- | |- | ||
| 7 | |||
| [[6144/6125]] | | [[6144/6125]] | ||
| {{Monzo| 11 1 -3 -2 }} | | {{Monzo| 11 1 -3 -2 }} | ||
| Line 84: | Line 95: | ||
| Porwell | | Porwell | ||
|- | |- | ||
| 7 | |||
| [[2401/2400]] | | [[2401/2400]] | ||
| {{Monzo| -5 -1 -2 4 }} | | {{Monzo| -5 -1 -2 4 }} | ||
| Line 90: | Line 102: | ||
| Breedsma | | Breedsma | ||
|- | |- | ||
| 11 | |||
| [[121/120]] | | [[121/120]] | ||
| {{Monzo| -3 -1 -1 0 2 }} | | {{Monzo| -3 -1 -1 0 2 }} | ||
| Line 96: | Line 109: | ||
| Biyatisma | | Biyatisma | ||
|- | |- | ||
| 11 | |||
| [[176/175]] | | [[176/175]] | ||
| {{Monzo| 4 0 -2 -1 1 }} | | {{Monzo| 4 0 -2 -1 1 }} | ||
| Line 102: | Line 116: | ||
| Valinorsma | | Valinorsma | ||
|- | |- | ||
| 11 | |||
| [[385/384]] | | [[385/384]] | ||
| {{Monzo| -7 -1 1 1 1 }} | | {{Monzo| -7 -1 1 1 1 }} | ||
Revision as of 07:06, 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 | 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 | 393216/390625 | [17 1 -8⟩ | 11.45 | Saquadbigu | Würschmidt comma |
| 5 | … | [-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 |
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