92edo: Difference between revisions

Wikispaces>JosephRuhf
**Imported revision 399765460 - Original comment: **
 
Music: Add Bryan Deister's ''92edo waltz''] (2025)
 
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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:JosephRuhf|JosephRuhf]] and made on <tt>2013-01-19 11:47:31 UTC</tt>.<br>
 
: The original revision id was <tt>399765460</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
The equal temperament is [[contorted]] through the 17-limit, with the same tuning and [[comma]]s as [[46edo]], and hence attracts little interest. That said, the approximation to the [[19/1|19th harmonic]] is much improved. Like 46, the [[patent fifth]] (54\92) is about 2.4{{c}} sharp. The alternate fifth 53\92 is a very flat fifth, flatter even than that of [[26edo]] and only 0.102{{c}} sharp of [[1/2-comma meantone]]; the 92bcccd val [[support]]s [[flattone]], while the 92bcccdd val supports [[Meantone_family#Flattertone|flattertone]]. 92edo is the highest in a series of four consecutive edos to temper out the [[quartisma]] (117440512/117406179).
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>
=== Odd harmonics ===
<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">The 92 divisions of 92edo measure 13.0435 cents each. In addition to the commas [[46edo]] tempers out, it also tempers out 81/80, 3125/3072 and 225/224.The extra temperaments it supports are meantone/flattone (generator 39 degress), magic/muggles (generator 29 degrees), deutone (geneator 15 degrees) and miracle (generator 9 degrees).</pre></div>
{{Harmonics in equal|92}}
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;92edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 92 divisions of 92edo measure 13.0435 cents each. In addition to the commas &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt; tempers out, it also tempers out 81/80, 3125/3072 and 225/224.The extra temperaments it supports are meantone/flattone (generator 39 degress), magic/muggles (generator 29 degrees), deutone (geneator 15 degrees) and miracle (generator 9 degrees).&lt;/body&gt;&lt;/html&gt;</pre></div>
=== Subsets and supersets ===
Since 92 factors into 2<sup>2</sup> × 23, 92edo has subset edos {{EDOs| 2, 4, 23, and 46 }}.
 
== Intervals ==
{{Interval table}}
 
== Instruments ==
 
A [[Lumatone mapping for 92edo]] is available.
 
== Music==
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025)
* [https://www.youtube.com/watch?v=qWAinBYHwtE ''92edo waltz''] (2025)