Xenharmonic Wiki

88edo: Difference between revisions

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**Imported revision 8021089 - Original comment: **
 
→Music: Add Bryan Deister's[https://www.youtube.com/shorts/g55YTKvWyK4 ''March in 88edo'' (2026)
 
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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:hstraub|hstraub]] and made on <tt>2007-09-16 05:42:35 UTC</tt>.<br>
 
: The original revision id was <tt>8021089</tt>.<br>
== Theory ==
: The revision comment was: <tt></tt><br>
Using two different approximations to the [[3/2|perfect fifth]] (one of 51 steps and one of 52 steps), 88edo is compatible with both [[meantone]] and the particular variety of [[superpyth]] supported by [[22edo|22 equal temperament]], respectively. The meantone fifth is 0.0384 cents flatter than that of [[Lucy Tuning]] and, thus, audibly indistinguishable from it. It also gives the [[optimal patent val]] for the 11-limit [[mothra]] and [[euterpe]] temperaments.
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">[[http://en.wikipedia.org/wiki/88_equal_temperament|Wikipedia article]] on 88edo</pre></div>
{{Harmonics in equal|88}}
<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;88edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/88_equal_temperament" rel="nofollow"&gt;Wikipedia article&lt;/a&gt; on 88edo&lt;/body&gt;&lt;/html&gt;</pre></div>
=== Subsets and supersets ===
Since 88 factors into {{factorization|88}}, 88edo has subset edos {{EDOs| 2, 4, 8, 11, 22, and 44 }}. [[176edo]], which doubles it, provides correction for the approximation to harmonics 3 and 11 and a partial correction for harmonic 13.
 
== Intervals ==
{{Interval table}}
 
== Instruments ==
=== Lumatone ===
[[Lumatone mapping for 88edo]]
=== Skip fretting ===
'''Skip fretting system 88 6 13''' is a [[skip fretting]] system for [[88edo]]. All examples on this page are for 7-string [[guitar]].
 
; Prime intervals
 
1/1: string 2 open
 
2/1: string 6 fret 6
 
3/2: string 5 fret 2
 
5/4: not easily accessible
 
7/4: string 7 fret 1
 
11/8: not easily accessible
 
13/8: string 4 fret 6
 
17/16: not easily accessible
 
19/16: not easily accessible
 
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''] (2025)
* [https://www.youtube.com/shorts/g55YTKvWyK4 ''March in 88edo''] (2026)
 
[[Category:Lucy tuning]]
[[Category:Meantone]]
[[Category:Mothra]]
Retrieved from "https://en.xen.wiki/w/88edo"