|
|
| (5 intermediate revisions by 4 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>2011-07-08 01:03:12 UTC</tt>.<br>
| | |
| : The original revision id was <tt>240473131</tt>.<br>
| | 177edo is [[consistent]] to the [[7-odd-limit]], but [[harmonic]] [[3/1|3]] is about halfway between its steps. It has good approximations to [[5/1|5]], [[7/1|7]], [[9/1|9]], [[13/1|13]], and [[19/1|19]], making it suitable for a 2.9.5.7.13.19 [[subgroup]] interpretation, which is equivalent to every other step of [[354edo]]. |
| : 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>
| | Consider the full 7-limit patent val nonetheless, the equal temperament [[tempering out|tempers out]] [[245/243]] and [[2401/2400]], [[support]]ing and providing a good tuning for the [[octacot]] temperament. |
| <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">The //177 equal division// divides the octave into 177 equal parts of 6.780 cents each. The patent val tempers out 245/243 and 2401/2400 in the 7-limit, supporting and providing a good tuning for [[Tetracot family#Octacot|octacot temperament]]. </pre></div>
| | === Odd harmonics === |
| <h4>Original HTML content:</h4>
| | {{Harmonics in equal|177}} |
| <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>177edo</title></head><body>The <em>177 equal division</em> divides the octave into 177 equal parts of 6.780 cents each. The patent val tempers out 245/243 and 2401/2400 in the 7-limit, supporting and providing a good tuning for <a class="wiki_link" href="/Tetracot%20family#Octacot">octacot temperament</a>.</body></html></pre></div>
| | |
| | === Subsets and supersets === |
| | Since 177 factors into {{factorization|177}}, 177edo contains [[3edo]] and [[59edo]] as its subsets. 354edo, which doubles it, provides good correction for the approximation of harmonic 3. |