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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:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-12-27 22:40:54 UTC</tt>.<br>
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| : The original revision id was <tt>624271419</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>
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| <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">In music, **88 equal temperament** is the scale derived by dividing the octave into 88 equally large steps, 13.6363 [[cent]]s in size. Using two different approximations to the perfect fifth (one of 51 steps and one of 52 steps), it is compatible with both [[meantone|meantone temperament]] and the particular variety of [[superpyth]] temperament(s) 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 [[Meantone family|mothra]] and [[Didymus rank three family|euterpe]] temperaments.
| | {{Harmonics in equal|88}} |
| </pre></div>
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| <h4>Original HTML content:</h4>
| | === Subsets and supersets === |
| <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"><html><head><title>88edo</title></head><body>In music, <strong>88 equal temperament</strong> is the scale derived by dividing the octave into 88 equally large steps, 13.6363 <a class="wiki_link" href="/cent">cent</a>s in size. Using two different approximations to the perfect fifth (one of 51 steps and one of 52 steps), it is compatible with both <a class="wiki_link" href="/meantone">meantone temperament</a> and the particular variety of <a class="wiki_link" href="/superpyth">superpyth</a> temperament(s) supported by <a class="wiki_link" href="/22edo">22 equal temperament</a>, respectively. The meantone fifth is 0.0384 cents flatter than that of <a class="wiki_link" href="/Lucy%20Tuning">Lucy Tuning</a> and, thus, audibly indistinguishable from it. It also gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 11-limit <a class="wiki_link" href="/Meantone%20family">mothra</a> and <a class="wiki_link" href="/Didymus%20rank%20three%20family">euterpe</a> temperaments.</body></html></pre></div>
| | 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 harmonic 3. |
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| | == Intervals == |
| | {{Interval table}} |
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| | == 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]]. |
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| | ; Prime intervals |
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| | 1/1: string 2 open |
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| | 2/1: string 6 fret 6 |
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| | 3/2: string 5 fret 2 |
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| | 5/4: not easily accessible |
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| | 7/4: string 7 fret 1 |
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| | 11/8: not easily accessible |
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| | 13/8: string 4 fret 6 |
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| | 17/16: not easily accessible |
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| | 19/16: not easily accessible |
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| | == Music == |
| | ; [[Bryan Deister]] |
| | * [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''] (2025) |
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| | [[Category:Lucy tuning]] |
| | [[Category:Meantone]] |
| | [[Category:Mothra]] |