|
|
Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | ''74edo'' divides the [[Octave|octave]] into 74 equal parts of size 16.216 [[cent|cent]]s each. It is most notable as a [[Meantone|meantone]] tuning, tempering out 81/80 in the [[5-limit|5-limit]]; 81/80 and 126/125 (and hence 225/224) in the [[7-limit|7-limit]]; 99/98, 176/175 and 441/440 in the [[11-limit|11-limit]]; and 144/143 and 847/845 in the [[13-limit|13-limit]]. Discarding 847/845 from that gives [[Meantone_family|13-limit meantone]], aka 13-limit huygens, for which 74edo gives the [[Optimal_patent_val|optimal patent val]]; and discarding 144/143 gives a 13-limit 62&74 temperament with half-octave period and two parallel tracks of meantone. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-04-16 19:41:26 UTC</tt>.<br>
| |
| : The original revision id was <tt>321254508</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">//74edo// divides the [[octave]] into 74 equal parts of size 16.216 [[cent]]s each. It is most notable as a [[meantone]] tuning, tempering out 81/80 in the [[5-limit]]; 81/80 and 126/125 (and hence 225/224) in the [[7-limit]]; 99/98, 176/175 and 441/440 in the [[11-limit]]; and 144/143 and 847/845 in the [[13-limit]]. Discarding 847/845 from that gives [[Meantone family|13-limit meantone]], aka 13-limit huygens, for which 74edo gives the [[optimal patent val]]; and discarding 144/143 gives a 13-limit 62&74 temperament with half-octave period and two parallel tracks of meantone.
| |
|
| |
|
| 74 tunes 11 only 1/30 of a cent sharp, and 13 2.7 cents sharp, making it a distinctly interesting choice for higher-limit meantone. | | 74 tunes 11 only 1/30 of a cent sharp, and 13 2.7 cents sharp, making it a distinctly interesting choice for higher-limit meantone. |
|
| |
|
| [[http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-74-edo.mp3|Twinkle canon – 74 edo]] by [[http://soonlabel.com/xenharmonic/archives/573|Claudi Meneghin]]
| | [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-74-edo.mp3 Twinkle canon – 74 edo] by [http://soonlabel.com/xenharmonic/archives/573 Claudi Meneghin] [[Category:edo]] |
| </pre></div>
| | [[Category:meantone]] |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>74edo</title></head><body><em>74edo</em> divides the <a class="wiki_link" href="/octave">octave</a> into 74 equal parts of size 16.216 <a class="wiki_link" href="/cent">cent</a>s each. It is most notable as a <a class="wiki_link" href="/meantone">meantone</a> tuning, tempering out 81/80 in the <a class="wiki_link" href="/5-limit">5-limit</a>; 81/80 and 126/125 (and hence 225/224) in the <a class="wiki_link" href="/7-limit">7-limit</a>; 99/98, 176/175 and 441/440 in the <a class="wiki_link" href="/11-limit">11-limit</a>; and 144/143 and 847/845 in the <a class="wiki_link" href="/13-limit">13-limit</a>. Discarding 847/845 from that gives <a class="wiki_link" href="/Meantone%20family">13-limit meantone</a>, aka 13-limit huygens, for which 74edo gives the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>; and discarding 144/143 gives a 13-limit 62&amp;74 temperament with half-octave period and two parallel tracks of meantone.<br />
| |
| <br />
| |
| 74 tunes 11 only 1/30 of a cent sharp, and 13 2.7 cents sharp, making it a distinctly interesting choice for higher-limit meantone.<br />
| |
| <br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-74-edo.mp3" rel="nofollow">Twinkle canon – 74 edo</a> by <a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/archives/573" rel="nofollow">Claudi Meneghin</a></body></html></pre></div>
| |