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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}} It is notable for being the equal division corresponding to a standard [[MIDI]] piano roll of 128 notes. |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-29 10:04:01 UTC</tt>.<br>
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| : The original revision id was <tt>239315431</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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>
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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;white-space: pre-wrap ! important" class="old-revision-html">The 128 equal division divides the [[octave]] into 128 equal parts of exactly 9.375 [[cent]]s each. It is the [[optimal patent val]] for [[7-limit]] [[Gamelismic clan|rodan temperament]]. It [[tempering out|tempers out]] 2109375/2097152 in the [[5-limit]]; 245/243, 1029/1024 and 5120/5103 in the 7-limit; 385/384 and 441/440 in the limit.
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| =Scales= | | == Theory == |
| [[radon5]] | | The equal temperament [[tempering out|tempers out]] 2109375/2097152 ([[semicomma]]) in the [[5-limit]]; [[245/243]], [[1029/1024]] and [[5120/5103]] in the 7-limit; [[385/384]] and [[441/440]] in the 11-limit. It provides the [[optimal patent val]] for [[7-limit]] [[rodan]], the {{nowrap|41 & 87}} temperament, as well as for 7-limit [[fourfives]], the {{nowrap|60 & 68}} temperament. |
| [[radon11]] | | |
| [[radon16]]</pre></div> | | See also [https://www.youtube.com/watch?v=lGa66qHzKME 128 notes per octave on Alto Saxophone] (Demo by Philipp Gerschlauer) |
| <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>128edo</title></head><body>The 128 equal division divides the <a class="wiki_link" href="/octave">octave</a> into 128 equal parts of exactly 9.375 <a class="wiki_link" href="/cent">cent</a>s each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/Gamelismic%20clan">rodan temperament</a>. It <a class="wiki_link" href="/tempering%20out">tempers out</a> 2109375/2097152 in the <a class="wiki_link" href="/5-limit">5-limit</a>; 245/243, 1029/1024 and 5120/5103 in the 7-limit; 385/384 and 441/440 in the limit.<br />
| | === Prime harmonics === |
| <br />
| | {{Harmonics in equal|128}} |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
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| <a class="wiki_link" href="/radon5">radon5</a><br />
| | === Subsets and supersets === |
| <a class="wiki_link" href="/radon11">radon11</a><br />
| | Since 128 factors into 2<sup>7</sup>, 128edo has subset edos {{EDOs| 2, 4, 8, 16, 32, and 64 }}. |
| <a class="wiki_link" href="/radon16">radon16</a></body></html></pre></div>
| | |
| | == Regular temperament properties == |
| | {| class="wikitable center-all left-5" |
| | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator |
| | |- |
| | ! Periods<br />per 8ve |
| | ! Generator* |
| | ! Cents* |
| | ! Associated<br />ratio* |
| | ! Temperaments |
| | |- |
| | | 1 |
| | | 25\128 |
| | | 234.375 |
| | | 8/7 |
| | | [[Rodan]] |
| | |- |
| | | 1 |
| | | 29\128 |
| | | 271.875 |
| | | 75/64 |
| | | [[Orson]] |
| | |- |
| | | 1 |
| | | 33\128 |
| | | 309.375 |
| | | 448/375 |
| | | [[Triwell]] |
| | |- |
| | | 1 |
| | | 53\128 |
| | | 496.875 |
| | | 4/3 |
| | | [[Undecental]] |
| | |- |
| | | 2 |
| | | 13\128 |
| | | 121.875 |
| | | 15/14 |
| | | [[Lagaca]] |
| | |- |
| | | 2 |
| | | 15\128 |
| | | 140.625 |
| | | 27/25 |
| | | [[Fifive]] |
| | |- |
| | | 4 |
| | | 15\128 |
| | | 140.625 |
| | | 27/25 |
| | | [[Fourfives]] |
| | |- |
| | | 4 |
| | | 53\128<br />(11\128) |
| | | 496.875<br />(103.125) |
| | | 4/3 |
| | | [[Undim]] (7-limit) |
| | |} |
| | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct |
| | |
| | == Scales == |
| | * [[Radon5]] |
| | * [[Radon11]] |
| | * [[Radon16]] |
| | |
| | [[Category:Rodan]] |
| | [[Category:Fourfives]] |