Octagar temperaments
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2014-04-27 14:54:49 UTC.
- The original revision id was 504840782.
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Original Wikitext content:
[[toc]] Octagar temperaments temper out the octagar comma, |5 -4 3 -2> = 4000/3969. =Slendi= Commas: 4000/3969, 84035/82944 POTE generator: ~49/48 = 29.181 Map: [<1 2 3 3|, <0 -17 -28 -8|] Wedgie: <<17 28 8 5 -35 -60|| EDOs: 41, 206, 247bc, 288bcd, 329bcd Badness: 0.1429 ==11-limit== Commas: 100/99, 245/242, 46656/46585 POTE generator: ~49/48 = 29.180 Map: [<1 2 3 3 4|, <0 -17 -28 -8 -22|] EDOs: 41, 206e Badness: 0.0632 ==13-limit== Commas: 100/99, 144/143, 245/242, 343/338 POTE generator: ~49/48 = 29.125 Map: [<1 2 3 3 4 4|, <0 -17 -28 -8 -22 -12|] EDOs: 41, 124ef, 165ef Badness: 0.0436 =Slithy= Commas: 4000/3969, 420175/419904 POTE generator: ~21/20 = 89.282 Map: [<1 3 5 4|, <0 -19 -36 -16|] EDOs: 27, 94, 121, 215, 336d Badness: 0.1075 ==11-limit== Commas: 540/539, 2200/2187, 4375/4356 POTE generator: ~21/20 = 89.291 Map: [<1 3 5 4 8|, <0 -19 -36 -16 -61|] EDOs: 94, 121, 215, 336de, 551bde Badness: 0.0459 ==13-limit== Commas: 325/324, 352/351, 540/539, 1575/1573 POTE generator: ~21/20 = 89.286 Map: [<1 3 5 4 8 4|, <0 -19 -36 -16 -61 -4|] EDOs: 94, 121, 215, 336def Badness: 0.0285
Original HTML content:
<html><head><title>Octagar temperaments</title></head><body><!-- ws:start:WikiTextTocRule:12:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><div style="margin-left: 1em;"><a href="#Slendi">Slendi</a></div> <!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><div style="margin-left: 2em;"><a href="#Slendi-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><div style="margin-left: 2em;"><a href="#Slendi-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><div style="margin-left: 1em;"><a href="#Slithy">Slithy</a></div> <!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><div style="margin-left: 2em;"><a href="#Slithy-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><div style="margin-left: 2em;"><a href="#Slithy-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --></div> <!-- ws:end:WikiTextTocRule:19 --><br /> Octagar temperaments temper out the octagar comma, |5 -4 3 -2> = 4000/3969.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Slendi"></a><!-- ws:end:WikiTextHeadingRule:0 -->Slendi</h1> Commas: 4000/3969, 84035/82944<br /> <br /> POTE generator: ~49/48 = 29.181<br /> <br /> Map: [<1 2 3 3|, <0 -17 -28 -8|]<br /> Wedgie: <<17 28 8 5 -35 -60||<br /> EDOs: 41, 206, 247bc, 288bcd, 329bcd<br /> Badness: 0.1429<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Slendi-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 100/99, 245/242, 46656/46585<br /> <br /> POTE generator: ~49/48 = 29.180<br /> <br /> Map: [<1 2 3 3 4|, <0 -17 -28 -8 -22|]<br /> EDOs: 41, 206e<br /> Badness: 0.0632<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Slendi-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 100/99, 144/143, 245/242, 343/338<br /> <br /> POTE generator: ~49/48 = 29.125<br /> <br /> Map: [<1 2 3 3 4 4|, <0 -17 -28 -8 -22 -12|]<br /> EDOs: 41, 124ef, 165ef<br /> Badness: 0.0436<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Slithy"></a><!-- ws:end:WikiTextHeadingRule:6 -->Slithy</h1> Commas: 4000/3969, 420175/419904<br /> <br /> POTE generator: ~21/20 = 89.282<br /> <br /> Map: [<1 3 5 4|, <0 -19 -36 -16|]<br /> EDOs: 27, 94, 121, 215, 336d<br /> Badness: 0.1075<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Slithy-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> Commas: 540/539, 2200/2187, 4375/4356<br /> <br /> POTE generator: ~21/20 = 89.291<br /> <br /> Map: [<1 3 5 4 8|, <0 -19 -36 -16 -61|]<br /> EDOs: 94, 121, 215, 336de, 551bde<br /> Badness: 0.0459<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Slithy-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 325/324, 352/351, 540/539, 1575/1573<br /> <br /> POTE generator: ~21/20 = 89.286<br /> <br /> Map: [<1 3 5 4 8 4|, <0 -19 -36 -16 -61 -4|]<br /> EDOs: 94, 121, 215, 336def<br /> Badness: 0.0285</body></html>