|
|
| (6 intermediate revisions by 5 users not shown) |
| Line 1: |
Line 1: |
| <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>2012-05-22 15:37:25 UTC</tt>.<br>
| | |
| : The original revision id was <tt>338473758</tt>.<br>
| | This edo is a bit of a chimera. It has a [[3/2|fifth]] which is 2.9{{c}} flat and a [[5/4|classical major third]] 1.3 cents flat, but the [[7/1|7]], [[11/1|11]] and [[13/1|13]] are more accurate. The equal temperament [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) in the 5-limit and [[225/224]] in the 7-limit, providing the [[optimal patent val]] for [[sensei]] which tempers out both. In the 11-limit it tempers out [[441/440]], 1375/1372 and [[4000/3993]] and in the 13-limit [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]]. |
| : 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>
| | === Odd harmonics === |
| <h4>Original Wikitext content:</h4>
| | {{Harmonics in equal|187}} |
| <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 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent family#Sensei|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</pre></div>
| | |
| <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>187edo</title></head><body>The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for <a class="wiki_link" href="/Sensipent%20family#Sensei">sensei temperament</a> which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</body></html></pre></div>
| | Since 187 factors into {{factorization|187}}, 187edo contains [[11edo]] and [[17edo]] as its subsets. |
| | |
| | === Music === |
| | * ''[https://www.youtube.com/watch?v=vrFU2J25G1Y Pillow(33) (187edo lullaby)]'' by [[JUMBLE]] (Dec 2024, uses MOS [[22L 11s]]) |