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72edo: Difference between revisions

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! | 3-limit
! | 3-limit
|-
|-
| | Pythagorean comma = 531441/524288 = |-19 12>
| |<nowiki> Pythagorean comma = 531441/524288 = |-19 12</nowiki>&gt;
|}
|}


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! | 5-limit
! | 5-limit
|-
|-
| | kleisma = 15625/15552 = |-6 -5 6&gt;
| |<nowiki> kleisma = 15625/15552 = |-6 -5 6</nowiki>&gt;


ampersand = 34171875/33554432 = |-25 7 6&gt;
ampersand = 34171875/33554432 = |-25 7 6&gt;
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| | cents value
| | cents value
| | approximate ratios (11-limit)
| | approximate ratios (11-limit)
| colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|ups and downs ]][[Ups_and_Downs_Notation|notation]]
| colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|ups and downs]] [[Ups_and_Downs_Notation|notation]]
|-
|-
| | 0
| | 0
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|-
|-
! | quality
! | quality
! | color
! | [[Kite's color notation|color]]
! | monzo format
! | monzo format
! | examples
! | examples
|-
|-
| style="text-align:center;" | double-down minor
| style="text-align:center;" | double-down minor
| style="text-align:center;" | blue
| style="text-align:center;" | zo
| style="text-align:center;" | {a, b, 0, 1}
| style="text-align:center;" | {a, b, 0, 1}
| style="text-align:center;" | 7/6, 7/4
| style="text-align:center;" | 7/6, 7/4
|-
|-
| style="text-align:center;" | minor
| style="text-align:center;" | minor
| style="text-align:center;" | fourthward white
| style="text-align:center;" | fourthward wa
| style="text-align:center;" | {a, b}, b &lt; -1
| style="text-align:center;" | {a, b}, b &lt; -1
| style="text-align:center;" | 32/27, 16/9
| style="text-align:center;" | 32/27, 16/9
|-
|-
| style="text-align:center;" | upminor
| style="text-align:center;" | upminor
| style="text-align:center;" | green
| style="text-align:center;" | gu
| style="text-align:center;" | {a, b, -1}
| style="text-align:center;" | {a, b, -1}
| style="text-align:center;" | 6/5, 9/5
| style="text-align:center;" | 6/5, 9/5
|-
|-
| style="text-align:center;" | mid
| style="text-align:center;" | mid
| style="text-align:center;" | jade
| style="text-align:center;" | lova
| style="text-align:center;" | {a, b, 0, 0, 1}
| style="text-align:center;" | {a, b, 0, 0, 1}
| style="text-align:center;" | 11/9, 11/6
| style="text-align:center;" | 11/9, 11/6
|-
|-
| style="text-align:center;" | "
| style="text-align:center;" | "
| style="text-align:center;" | amber
| style="text-align:center;" | lu
| style="text-align:center;" | {a, b, 0, 0, -1}
| style="text-align:center;" | {a, b, 0, 0, -1}
| style="text-align:center;" | 12/11, 18/11
| style="text-align:center;" | 12/11, 18/11
|-
|-
| style="text-align:center;" | downmajor
| style="text-align:center;" | downmajor
| style="text-align:center;" | yellow
| style="text-align:center;" | yo
| style="text-align:center;" | {a, b, 1}
| style="text-align:center;" | {a, b, 1}
| style="text-align:center;" | 5/4, 5/3
| style="text-align:center;" | 5/4, 5/3
|-
|-
| style="text-align:center;" | major
| style="text-align:center;" | major
| style="text-align:center;" | fifthward white
| style="text-align:center;" | fifthward wa
| style="text-align:center;" | {a, b}, b &gt; 1
| style="text-align:center;" | {a, b}, b &gt; 1
| style="text-align:center;" | 9/8, 27/16
| style="text-align:center;" | 9/8, 27/16
|-
|-
| style="text-align:center;" | double-up major
| style="text-align:center;" | double-up major
| style="text-align:center;" | red
| style="text-align:center;" | ru
| style="text-align:center;" | {a, b, 0, -1}
| style="text-align:center;" | {a, b, 0, -1}
| style="text-align:center;" | 9/7, 12/7
| style="text-align:center;" | 9/7, 12/7
|}
|}
All 72edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:
All 72edo chords can be named using ups and downs. Here are the zo, gu, lova, yo and ru triads:


{| class="wikitable"
{| class="wikitable"
|-
|-
! | color of the 3rd
! | [[Kite's color notation|color of the 3rd]]
! | JI chord
! | JI chord
! | notes as edosteps
! | notes as edosteps
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! | spoken name
! | spoken name
|-
|-
| style="text-align:center;" | blue
| style="text-align:center;" | zo
| style="text-align:center;" | 6:7:9
| style="text-align:center;" | 6:7:9
| style="text-align:center;" | 0-16-42
| style="text-align:center;" | 0-16-42
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| style="text-align:center;" | C double-down minor
| style="text-align:center;" | C double-down minor
|-
|-
| style="text-align:center;" | green
| style="text-align:center;" | gu
| style="text-align:center;" | 10:12:15
| style="text-align:center;" | 10:12:15
| style="text-align:center;" | 0-19-42
| style="text-align:center;" | 0-19-42
Line 891: Line 891:
| style="text-align:center;" | C upminor
| style="text-align:center;" | C upminor
|-
|-
| style="text-align:center;" | jade
| style="text-align:center;" | lova
| style="text-align:center;" | 18:22:27
| style="text-align:center;" | 18:22:27
| style="text-align:center;" | 0-21-42
| style="text-align:center;" | 0-21-42
Line 898: Line 898:
| style="text-align:center;" | C mid
| style="text-align:center;" | C mid
|-
|-
| style="text-align:center;" | yellow
| style="text-align:center;" | yo
| style="text-align:center;" | 4:5:6
| style="text-align:center;" | 4:5:6
| style="text-align:center;" | 0-23-42
| style="text-align:center;" | 0-23-42
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| style="text-align:center;" | C downmajor or C dot down
| style="text-align:center;" | C downmajor or C dot down
|-
|-
| style="text-align:center;" | red
| style="text-align:center;" | ru
| style="text-align:center;" | 14:18:27
| style="text-align:center;" | 14:18:27
| style="text-align:center;" | 0-26-42
| style="text-align:center;" | 0-26-42
Line 1,093: Line 1,093:


=External links=
=External links=
<ul><li>[http://en.wikipedia.org/wiki/72_tone_equal_temperament Wikipedia article on 72edo]</li><li>[http://orthodoxwiki.org/Byzantine_Chant OrthodoxWiki Article on Byzantine chant, which uses 72edo]</li><li>[http://en.wikipedia.org/wiki/Joe_Maneri Wikipedia article on Joe Maneri (1927-2009)]</li><li>[http://www.ekmelic-music.org/en/ Ekmelic Music Society/Gesellschaft für Ekmelische Musik], a group of composers and researchers dedicated to 72edo music</li><li>[http://72note.com/site/original.html Rick Tagawa's 72edo site], including theory and composers' list</li><li>[http://www.myspace.com/dawier Danny Wier, composer and musician who specializes in 72-edo]</li></ul>      [[Category:edo]]
<ul><li>[http://en.wikipedia.org/wiki/72_tone_equal_temperament Wikipedia article on 72edo]</li><li>[http://orthodoxwiki.org/Byzantine_Chant OrthodoxWiki Article on Byzantine chant, which uses 72edo]</li><li>[http://en.wikipedia.org/wiki/Joe_Maneri Wikipedia article on Joe Maneri (1927-2009)]</li><li>[http://www.ekmelic-music.org/en/ Ekmelic Music Society/Gesellschaft für Ekmelische Musik], a group of composers and researchers dedicated to 72edo music</li><li>[http://72note.com/site/original.html Rick Tagawa's 72edo site], including theory and composers' list</li><li>[http://www.myspace.com/dawier Danny Wier, composer and musician who specializes in 72-edo]</li></ul>       
[[Category:edo]]
[[Category:listen]]
[[Category:listen]]
[[Category:marvel]]
[[Category:marvel]]
Retrieved from "https://en.xen.wiki/w/72edo"