11edf: Difference between revisions
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== Theory == | == Theory == | ||
11edf corresponds to 18.8046…[[edo]]. It is similar to [[19edo]], and nearly identical to [[Carlos Beta]]. | 11edf corresponds to 18.8046…[[edo]]. It is similar to [[19edo]], and nearly identical to [[Carlos Beta]]. Unlike 19edo, which is [[consistent]] to the [[integer limit|10-integer-limit]], 11edf is only consistent to the 7-integer-limit. | ||
While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo. At 510.51{{c}}, it is 12.47{{c}} sharper than just and 3.7{{c}} flat of that of [[7edo]]. | While the fifth is just, the fourth is very sharp and significantly less accurate than in 19edo. At 510.51{{c}}, it is 12.47{{c}} sharper than just and 3.7{{c}} flat of that of [[7edo]]. | ||
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{{Harmonics in equal|11|3|2|intervals=integer|columns=11}} | {{Harmonics in equal|11|3|2|intervals=integer|columns=11}} | ||
{{Harmonics in equal|11|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11edf (continued)}} | {{Harmonics in equal|11|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11edf (continued)}} | ||
=== Subsets and supersets === | |||
11edf is the fifth [[prime equal division|prime edf]], past [[7edf]] and before [[13edf]]. It does not contain any nontrivial subset edfs. | |||
== Intervals == | == Intervals == | ||
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| [[9/4]] | | [[9/4]] | ||
|} | |} | ||
== Music == | |||
; [[Francium]] | |||
* "McGarfyGarf" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/2iaicUkq6EcjcGM8RioFZj Spotify] | [https://francium223.bandcamp.com/track/mcgarfygarf Bandcamp] | [https://www.youtube.com/watch?v=sI8X6PNOiXE YouTube] | |||
== See also == | |||
* [[19edo]] – relative edo | |||
* [[30edt]] – relative edt | |||
* [[49ed6]] – relative ed6 | |||
* [[53ed7]] – relative ed7 | |||
* [[68ed12]] – relative ed12 | |||
* [[93ed30]] – relative ed30 | |||