Xenharmonic Wiki

119edo: Difference between revisions

← Older edit
VisualWikitext
Wikispaces>JosephRuhf
**Imported revision 600646744 - Original comment: **
Overthink (talk | contribs)
autopatrolled
2,764 edits
→Theory: 119be
 
(19 intermediate revisions by 10 users not shown)
Line 1: Line 1:
<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:JosephRuhf|JosephRuhf]] and made on <tt>2016-11-28 14:09:58 UTC</tt>.<br>
== Theory ==
: The original revision id was <tt>600646744</tt>.<br>
119edo is in[[consistent]] in the 5-odd-limit, with both harmonics 3 and 5 falling halfway between steps. It does have potential as a 2.7.9.15 subgroup system. In higher limits, 2.7.15.29.37 is a strong interpretation.
: The revision comment was: <tt></tt><br>
 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Nonetheless, there is a number of mappings to be considered. In the 11-limit, 119edo's provides the [[optimal patent val]] for the 11-limit [[androboh]] and [[quasitemp]] temperaments. The patent val also tunes the 11-limit [[quadrawell]] temperament. 119c val tunes [[treecreeper]], [[sensus]], and [[senator]] as high as the 17-limit, while the 119b val is an extremely good approximation to [[2/7-comma meantone]] in addition to supporting [[chlorine]] (by equating [[25/24]] very accurately to one step of 17edo) and 7-limit [[mothra]], with the 119be val supporting 11-limit mothra with a flat tendency.
<h4>Original Wikitext content:</h4>
 
<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">Offers four fifths:
=== Odd harmonics ===
68 steps: 7edo superflat fifth
{{Harmonics in equal|119|columns=12}}
69 steps: Approximation of 2/7 comma meantone
{{Harmonics in equal|119|columns=12|start=13|collapsed=1|title=Approximation of odd harmonics in 119edo (continued)}}
70 steps: 17edo sharp fifth (patent)
 
71 steps: Approximation of half comma eventone</pre></div>
=== Subsets and supersets ===
<h4>Original HTML content:</h4>
Since 119edo factors as {{Factorization|119}}, it contains [[7edo]] and [[17edo]] as a subset. Hence it supports circles of fifths of those respective equal temperaments.
<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;119edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Offers four fifths:&lt;br /&gt;
 
68 steps: 7edo superflat fifth&lt;br /&gt;
== Intervals ==
69 steps: Approximation of 2/7 comma meantone&lt;br /&gt;
{{Interval table}}
70 steps: 17edo sharp fifth (patent)&lt;br /&gt;
 
71 steps: Approximation of half comma eventone&lt;/body&gt;&lt;/html&gt;</pre></div>
== Scales ==
* Approximation of 2/7 comma [[meantone]]: 19 19 12 19 19 19 12
* Approximation of half comma [[archy]]: 23 23 2 23 23 23 2, 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2
 
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
Retrieved from "https://en.xen.wiki/w/119edo"