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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:genewardsmith|genewardsmith]] and made on <tt>2010-08-10 15:34:47 UTC</tt>.<br>
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| : The original revision id was <tt>155968181</tt>.<br>
| | == Theory == |
| : The revision comment was: <tt></tt><br>
| | 127edo is interesting because of its approximations, defined by the [[comma]]s it [[tempering out|tempers out]]: |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | * In the [[5-limit]], it tempers out 393216/390625 ([[würschmidt comma]]) and hence [[support]]s the [[würschmidt]] temperament. |
| <h4>Original Wikitext content:</h4>
| | * In the [[7-limit]], it also tempers out [[225/224]], and is an excellent tuning for the 7-limit extension of würschmidt which tempers this out also. |
| <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">//127edo//, which divides the octave into 127 parts of 9.45 cents each, is another equal division interesting because of its approximations, defined by the commas it tempers out. In the 5-limit, it tempers out the wuerschmidt comma, 393216/390625 and hence supports [[Wuerschmidt family|wuerschmidt temperament]]. In the 7-limit, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension ("wurschmidt") of wuerschmidt which tempers this out also. In the 11-limit, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175.</pre></div>
| | * In the [[11-limit]], it tempers out [[99/98]], [[176/175]] and [[243/242]], and is an excellent tuning for the 11-limit version of würschmidt, as well as [[minerva]], the [[rank-3 temperament]] tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank-4 temperament tempering out 99/98, for which it also provides the optimal patent val. |
| <h4>Original HTML content:</h4>
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| <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>127edo</title></head><body><em>127edo</em>, which divides the octave into 127 parts of 9.45 cents each, is another equal division interesting because of its approximations, defined by the commas it tempers out. In the 5-limit, it tempers out the wuerschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/Wuerschmidt%20family">wuerschmidt temperament</a>. In the 7-limit, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension (&quot;wurschmidt&quot;) of wuerschmidt which tempers this out also. In the 11-limit, it tempers out 99/98, 176/175 and 243/242, and is an excellent tuning for the 11-limit version of wurschmidt, as well as minerva, the rank three temperament tempering out 99/98 and 176/175.</body></html></pre></div>
| | === Odd harmonics === |
| | {{Harmonics in equal|127}} |
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| | === Subsets and supersets === |
| | 127edo is the 31st [[prime edo]], following [[113edo]] and before [[131edo]]. |
| | |
| | == Scales == |
| | === MOS scales === |
| | See [[List of MOS scales in 127edo]]. |
| | |
| | == Instruments == |
| | * [[Lumatone mapping for 127edo]] |
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| | [[Category:Würschmidt]] |
| | [[Category:Hemiwürschmidt]] |
| | [[Category:Minerva]] |