1400edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro | {{EDO intro}} | ||
== Theory == | == Theory == | ||
1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup | 1400edo is consistent in the 5-limit, where provides the optimal patent val for the 5-limit [[vishnuzma|vishnuzmic]] temperament. Aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It also tempers out the [[linus comma]] and the [[barium comma]]. | ||
Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament. | Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
1400edo has subset edos {{EDOs|1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700}}. | 1400edo has subset edos {{EDOs| 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 }}. | ||
One step of 1400edo is the relative cent for 14edo. | One step of 1400edo is the relative cent for 14edo. | ||
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| 317\1400 | | 317\1400 | ||
| 271.714 | | 271.714 | ||
| | | {{monzo| 66 -23 -9 -3 }} | ||
| [[Counterorson]] | | [[Counterorson]] | ||
|- | |- | ||
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| [[Barium]] | | [[Barium]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Scales == | == Scales == | ||
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== Music == | == Music == | ||
; '''[[Mercury Amalgam]]''' | ; '''[[Mercury Amalgam]]''' | ||
* ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' | * ''[https://www.youtube.com/watch?v=o9aAB4csKBQ&pp=ygUHMTQwMGVkbw%3D%3D Apple In Your Mouth]'' – silicon[70], oxygen[24], magnesium[175], vishnu[34] | ||
[[Category:Vishnuzmic]] | [[Category:Vishnuzmic]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||