Avicennmic temperaments
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- This revision was by author xenwolf and made on 2016-09-19 03:01:03 UTC.
- The original revision id was 592575618.
- The revision comment was: added links to edo pages
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[[toc|flat]] These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman. =Roman= Commas: 525/512, 4000/3969 [[POTE tuning|POTE generator]]: ~63/50 = 414.552 Map: [<1 4 3 -1|, <0 -7 -2 11|] Wedgie: <<7 2 -11 -13 -37 -31|| EDOs: [[23edo|23]], [[26edo|26]], [[29edo|29]], [[55edo|55c]] Badness: 0.1134 ==11-limit== Commas: 100/99, 245/242, 1375/1344 [[POTE tuning|POTE generator]]: ~14/11 = 414.471 Map: [<1 4 3 -1 0|, <0 -7 -2 11 10|] EDOs: 23, 26, 29, 55c Badness: 0.0528 ==13-limit== Commas: 65/64, 100/99, 105/104, 245/243 [[POTE tuning|POTE generator]]: ~14/11 = 414.472 Map: [<1 4 3 -1 0 3|, <0 -7 -2 11 10 2|] EDOs: 23, 26, 29, 55 Badness: 0.0300 ==17-limit== Commas: 35/34, 52/51, 100/99, 169/168, 275/273 [[POTE tuning|POTE generator]]: ~14/11 = 414.164 Map: [<1 4 3 -1 0 3 1|, <0 -7 -2 11 10 2 9|] EDOs: 26, 29, [[84edo|84]], [[113edo|113]] Badness: 0.0416 ==19-limit== Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168 [[POTE tuning|POTE generator]]: ~14/11 = 414.130 Map: [<1 4 3 -1 0 3 1 7|, <0 -7 -2 11 10 2 9 -8|] EDOs: 26g, 29 Badness: 0.0337 =Secund= Commas: 405/392, 525/512 POTE generator: ~16/15 = 137.958 Map: [<1 1 3 2|, <0 5 -6 7|] Wedgie: <<5 -6 7 -21 -3 33|| EDOs: [[9edo|9]], [[17edo|17]], 26, [[61edo|61bc]], [[87edo|87bc]] Badness: 0.0898 ==11-limit== Commas: 45/44, 99/98, 385/384 POTE generator: ~12/11 = 137.900 Map: [<1 1 3 2 3|, <0 5 -6 7 4|] EDOs: 9, 17, 26, 61bc, 87bc Badness: 0.0426 ==13-limit== Commas: 27/26, 45/44, 99/98, 385/384 POTE generator: ~12/11 = 136.937 Map: [<1 1 3 2 3 2|, <0 5 -6 7 4 15|] EDOs: 9, 26f, [[35edo|35]] Badness: 0.0497 ==Secundly== Commas: 45/44, 78/77, 81/80, 640/637 POTE generator: ~12/11 = 137.917 Map: [<1 1 3 2 3 3|, <0 5 -6 7 4 6|] EDOs: 9, 17, 26, 61bcf, 87bcf Badness: 0.0262
Original HTML content:
<html><head><title>Avicennmic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:18:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><a href="#Roman">Roman</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Secund">Secund</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> <!-- ws:end:WikiTextTocRule:28 --><br /> These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Roman"></a><!-- ws:end:WikiTextHeadingRule:0 -->Roman</h1> Commas: 525/512, 4000/3969<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~63/50 = 414.552<br /> <br /> Map: [<1 4 3 -1|, <0 -7 -2 11|]<br /> Wedgie: <<7 2 -11 -13 -37 -31||<br /> EDOs: <a class="wiki_link" href="/23edo">23</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/55edo">55c</a><br /> Badness: 0.1134<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Roman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 100/99, 245/242, 1375/1344<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.471<br /> <br /> Map: [<1 4 3 -1 0|, <0 -7 -2 11 10|]<br /> EDOs: 23, 26, 29, 55c<br /> Badness: 0.0528<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Roman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 65/64, 100/99, 105/104, 245/243<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.472<br /> <br /> Map: [<1 4 3 -1 0 3|, <0 -7 -2 11 10 2|]<br /> EDOs: 23, 26, 29, 55<br /> Badness: 0.0300<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Roman-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h2> Commas: 35/34, 52/51, 100/99, 169/168, 275/273<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.164<br /> <br /> Map: [<1 4 3 -1 0 3 1|, <0 -7 -2 11 10 2 9|]<br /> EDOs: 26, 29, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/113edo">113</a><br /> Badness: 0.0416<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Roman-19-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->19-limit</h2> Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~14/11 = 414.130<br /> <br /> Map: [<1 4 3 -1 0 3 1 7|, <0 -7 -2 11 10 2 9 -8|]<br /> EDOs: 26g, 29<br /> Badness: 0.0337<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Secund"></a><!-- ws:end:WikiTextHeadingRule:10 -->Secund</h1> Commas: 405/392, 525/512<br /> <br /> POTE generator: ~16/15 = 137.958<br /> <br /> Map: [<1 1 3 2|, <0 5 -6 7|]<br /> Wedgie: <<5 -6 7 -21 -3 33||<br /> EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/17edo">17</a>, 26, <a class="wiki_link" href="/61edo">61bc</a>, <a class="wiki_link" href="/87edo">87bc</a><br /> Badness: 0.0898<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Secund-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> Commas: 45/44, 99/98, 385/384<br /> <br /> POTE generator: ~12/11 = 137.900<br /> <br /> Map: [<1 1 3 2 3|, <0 5 -6 7 4|]<br /> EDOs: 9, 17, 26, 61bc, 87bc<br /> Badness: 0.0426<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Secund-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> Commas: 27/26, 45/44, 99/98, 385/384<br /> <br /> POTE generator: ~12/11 = 136.937<br /> <br /> Map: [<1 1 3 2 3 2|, <0 5 -6 7 4 15|]<br /> EDOs: 9, 26f, <a class="wiki_link" href="/35edo">35</a><br /> Badness: 0.0497<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Secund-Secundly"></a><!-- ws:end:WikiTextHeadingRule:16 -->Secundly</h2> Commas: 45/44, 78/77, 81/80, 640/637<br /> <br /> POTE generator: ~12/11 = 137.917<br /> <br /> Map: [<1 1 3 2 3 3|, <0 5 -6 7 4 6|]<br /> EDOs: 9, 17, 26, 61bcf, 87bcf<br /> Badness: 0.0262</body></html>