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11edf: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12-27 01:13:39 UTC</tt>.<br>
 
: The original revision id was <tt>288541992</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
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.
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 
<h4>Original Wikitext content:</h4>
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]].
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Redirects to Carlos Beta.</pre></div>
 
<h4>Original HTML content:</h4>
11edf represents the upper bound of the [[phoenix]] tuning range. It benefits from all the desirable properties of phoenix tuning systems.
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;11edf&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Redirects to Carlos Beta.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
=== Harmonics ===
{{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)}}
 
=== 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 ==
{| class="wikitable center-1 right-2"
|-
! #
! Cents
! Approximate ratios
|-
| 0
| 0.0
| [[1/1]]
|-
| 1
| 63.8
| [[21/20]], [[25/24]], [[27/26]], [[28/27]]
|-
| 2
| 127.6
| [[13/12]], [[14/13]], [[15/14]], [[16/15]]
|-
| 3
| 191.4
| [[9/8]], [[10/9]]
|-
| 4
| 255.3
| [[7/6]], ''[[8/7]]''
|-
| 5
| 319.1
| [[6/5]]
|-
| 6
| 382.9
| [[5/4]]
|-
| 7
| 446.7
| [[9/7]]
|-
| 8
| 510.5
| [[4/3]]
|-
| 9
| 574.3
| [[7/5]]
|-
| 10
| 638.1
| [[13/9]]
|-
| 11
| 702.0
| [[3/2]]
|-
| 12
| 765.8
| [[14/9]]
|-
| 13
| 828.6
| [[8/5]], [[13/8]], [[21/13]]
|-
| 14
| 893.4
| [[5/3]]
|-
| 15
| 956.2
| [[7/4]]
|-
| 16
| 1020.0
| [[9/5]]
|-
| 17
| 1084.8
| [[15/8]]
|-
| 18
| 1148.7
| [[27/14]], [[35/18]]
|-
| 19
| 1211.5
| [[2/1]]
|-
| 20
| 1276.3
| [[21/10]], [[25/12]], [[27/13]]
|-
| 21
| 1340.1
| [[13/6]]
|-
| 22
| 1403.9
| [[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
Retrieved from "https://en.xen.wiki/w/11edf"