6edo: Difference between revisions

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Line 27: Line 27:
| 3
| 3
| [[32/27]]
| [[32/27]]
| {{Monzo| 5 -3 }}
| {{monzo| 5 -3 }}
| 294.13
| 294.13
| Wa
| Wa
Line 34: Line 34:
| 5
| 5
| [[25/24]]
| [[25/24]]
| {{Monzo| -3 -1 2 }}
| {{monzo| -3 -1 2 }}
| 70.67
| 70.67
| Yoyo
| Yoyo
Line 41: Line 41:
| 5
| 5
| [[128/125]]
| [[128/125]]
| {{Monzo| 7 0 -3 }}
| {{monzo| 7 0 -3 }}
| 41.06
| 41.06
| Trigu
| Trigu
Line 48: Line 48:
| 5
| 5
| [[3125/3072]]
| [[3125/3072]]
| {{Monzo| -10 -1 5 }}
| {{monzo| -10 -1 5 }}
| 29.61
| 29.61
| Laquinyo
| Laquinyo
Line 55: Line 55:
| 5
| 5
| [[393216/390625|(12 digits)]]
| [[393216/390625|(12 digits)]]
| {{Monzo| 17 1 -8 }}
| {{monzo| 17 1 -8 }}
| 11.45
| 11.45
| Saquadbigu
| Saquadbigu
Line 62: Line 62:
| 5
| 5
| [[476837158203125/474989023199232|(30 digits)]]
| [[476837158203125/474989023199232|(30 digits)]]
| {{Monzo| -44 -3 21 }}
| {{monzo| -44 -3 21 }}
| 6.72
| 6.72
| Trila-septriyo
| Trila-septriyo
Line 69: Line 69:
| 7
| 7
| [[49/48]]
| [[49/48]]
| {{Monzo| -4 -1 0 2 }}
| {{monzo| -4 -1 0 2 }}
| 35.70
| 35.70
| Zozo
| Zozo
Line 76: Line 76:
| 7
| 7
| [[50/49]]
| [[50/49]]
| {{Monzo| 1 0 2 -2 }}
| {{monzo| 1 0 2 -2 }}
| 34.98
| 34.98
| Biruyo
| Biruyo
Line 83: Line 83:
| 7
| 7
| [[3136/3125]]
| [[3136/3125]]
| {{Monzo| 6 0 -5 2 }}
| {{monzo| 6 0 -5 2 }}
| 6.08
| 6.08
| Zozoquingu
| Zozoquingu
Line 90: Line 90:
| 7
| 7
| [[6144/6125]]
| [[6144/6125]]
| {{Monzo| 11 1 -3 -2 }}
| {{monzo| 11 1 -3 -2 }}
| 5.36
| 5.36
| arurutrigu
| arurutrigu
Line 97: Line 97:
| 7
| 7
| [[2401/2400]]
| [[2401/2400]]
| {{Monzo| -5 -1 -2 4 }}
| {{monzo| -5 -1 -2 4 }}
| 0.72
| 0.72
| Bizozogu
| Bizozogu
Line 104: Line 104:
| 11
| 11
| [[121/120]]
| [[121/120]]
| {{Monzo| -3 -1 -1 0 2 }}
| {{monzo| -3 -1 -1 0 2 }}
| 14.37
| 14.37
| Lologu
| Lologu
Line 111: Line 111:
| 11
| 11
| [[176/175]]
| [[176/175]]
| {{Monzo| 4 0 -2 -1 1 }}
| {{monzo| 4 0 -2 -1 1 }}
| 9.86
| 9.86
| Lorugugu
| Lorugugu
Line 118: Line 118:
| 11
| 11
| [[385/384]]
| [[385/384]]
| {{Monzo| -7 -1 1 1 1 }}
| {{monzo| -7 -1 1 1 1 }}
| 4.50
| 4.50
| Lozoyo
| Lozoyo

Revision as of 12:14, 17 January 2021

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
  1. ↑ Ratios longer than 10 digits are presented by placeholders with informative hints

Music

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