Wikispaces>Andrew_Heathwaite |
|
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''127edo''', which divides the [[Octave|octave]] into 127 parts of 9.45 [[cents|cents]] each, is another equal division interesting because of its approximations, defined by the [[Comma|comma]]s it [[tempering_out|tempers out]]. In the [[5-limit|5-limit]], it tempers out the würschmidt comma, 393216/390625 and hence supports [[Würschmidt_family|würschmidt temperament]]. In the [[7-limit|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. In the [[11-limit|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 three temperament tempering out 99/98 and 176/175, for which it is the [[Optimal_patent_val|optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-31 02:11:10 UTC</tt>.<br>
| |
| : The original revision id was <tt>288887301</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| 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>
| |
| <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 [[comma]]s it [[tempering out|tempers out]]. In the [[5-limit]], it tempers out the würschmidt comma, 393216/390625 and hence supports [[Würschmidt family|würschmidt temperament]]. 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. 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 three temperament tempering out 99/98 and 176/175, for which it is the [[optimal patent val]] and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.
| |
|
| |
|
| 127edo is the 31st [[prime numbers|prime]] edo. | | 127edo is the 31st [[prime_numbers|prime]] edo. |
|
| |
|
| [[MOS Scales of 127edo]]</pre></div> | | [[MOS_Scales_of_127edo|MOS Scales of 127edo]] [[Category:edo]] |
| <h4>Original HTML content:</h4>
| | [[Category:hemiwuerschmidt]] |
| <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><strong>127edo</strong>, which divides the <a class="wiki_link" href="/octave">octave</a> into 127 parts of 9.45 <a class="wiki_link" href="/cents">cents</a> each, is another equal division interesting because of its approximations, defined by the <a class="wiki_link" href="/comma">comma</a>s it <a class="wiki_link" href="/tempering%20out">tempers out</a>. In the <a class="wiki_link" href="/5-limit">5-limit</a>, it tempers out the würschmidt comma, 393216/390625 and hence supports <a class="wiki_link" href="/W%C3%BCrschmidt%20family">würschmidt temperament</a>. In the <a class="wiki_link" href="/7-limit">7-limit</a>, it also tempers out 225/224, and is an excellent tuning for the 7-limit extension of würschmidt which tempers this out also. In the <a class="wiki_link" href="/11-limit">11-limit</a>, 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 three temperament tempering out 99/98 and 176/175, for which it is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.<br />
| | [[Category:minerva]] |
| <br />
| | [[Category:prime_edo]] |
| 127edo is the 31st <a class="wiki_link" href="/prime%20numbers">prime</a> edo.<br />
| | [[Category:theory]] |
| <br />
| | [[Category:wuerschmidt]] |
| <a class="wiki_link" href="/MOS%20Scales%20of%20127edo">MOS Scales of 127edo</a></body></html></pre></div>
| | [[Category:wurschmidt]] |
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 würschmidt comma, 393216/390625 and hence supports würschmidt temperament. 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. 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 three temperament tempering out 99/98 and 176/175, for which it is the optimal patent val and the rank four temperament tempering out 99/98, for which it also provides the optimal patent val.
127edo is the 31st prime edo.
MOS Scales of 127edo