Valinorsmic clan
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-11-20 21:14:51 UTC.
- The original revision id was 277515790.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] The valinorsmic rank three temperaments temper out the valinorsma, 176/175, which equates 48/35 with 15/11 (rather than 11/8, which is what the keenanisma 385/384 does.) =Rank four valinorsmic temperament= Comma: 176/175 Map: [<1 0 0 0 -4|, <0 1 0 0 0|, <0 0 1 0 2|, <0 0 0 1 1|] EDOs: 22, 31, 46, 53, 58, 80, 111 =Manwe= Commas: 176/175, 1331/1323 Map: [<1 0 0 12 8|, <0 1 0 3 3|, <0 0 1 -6 -4|] EDOs: 15, 31, 46, 77, 80, 111 Badness: 0.000679 ==13-limit== Commas: 176/175, 1331/1323, 351/350 Map: [<1 0 0 12 8|, <0 1 0 3 3|, <0 0 1 -6 -4|] EDOs: 31, 46, 77, 80, 111 Badness: 0.001147 =Varda= Commas: 176/175, 896/891 Map: [<2 0 11 0 14|, <0 1 -2 0 -4|, <0 0 0 1 1|] EDOs: 12, 22, 46, 58, 80, 126 Badness: 0.000728 =Mandos= Commas: 176/175, 243/242 Map: [<1 1 0 6 2|, <0 2 0 5 5|, <0 0 1 -2 0|] EDOs: 7, 24, 31, 58, 89 Badness: 0.000751 ==13-limit== Commas: 144/143, 176/175, 243/242 Map: [<1 1 0 6 2 4|, <0 2 0 5 5 -1|, <0 0 1 -2 0 0|] EDOs: 7, 24, 31, 58 Badness: 0.000923 =Ulmo= Commas: 176/175, 2200/2187 Map: [<1 0 0 1, -3|, <0 1 0 7 7|, <0 0 1 -4 -2|] EDOs: 7, 39, 46, 53, 80, 126, 179, 259cd, 385bcd Badness: 0.00123 ==13-limit== Commas: 169/168, 176/175, 325/324 Map: [<1 0 0 1, -3 2|, <0 1 0 7 7 4|, <0 0 1 -4 -2 -2|] EDOs: 7, 39, 46, 53, 80, 133d, 179, 312cdf Badness: 0.000932
Original HTML content:
<html><head><title>Valinorismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:16:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><a href="#Rank four valinorsmic temperament">Rank four valinorsmic temperament</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Manwe">Manwe</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Varda">Varda</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Mandos">Mandos</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Ulmo">Ulmo</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> <!-- ws:end:WikiTextTocRule:25 --><br /> <br /> The valinorsmic rank three temperaments temper out the valinorsma, 176/175, which equates 48/35 with 15/11 (rather than 11/8, which is what the keenanisma 385/384 does.)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Rank four valinorsmic temperament"></a><!-- ws:end:WikiTextHeadingRule:0 -->Rank four valinorsmic temperament</h1> Comma: 176/175<br /> <br /> Map: [<1 0 0 0 -4|, <0 1 0 0 0|, <0 0 1 0 2|, <0 0 0 1 1|]<br /> EDOs: 22, 31, 46, 53, 58, 80, 111<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Manwe"></a><!-- ws:end:WikiTextHeadingRule:2 -->Manwe</h1> Commas: 176/175, 1331/1323<br /> <br /> Map: [<1 0 0 12 8|, <0 1 0 3 3|, <0 0 1 -6 -4|]<br /> EDOs: 15, 31, 46, 77, 80, 111<br /> Badness: 0.000679<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Manwe-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 176/175, 1331/1323, 351/350<br /> <br /> Map: [<1 0 0 12 8|, <0 1 0 3 3|, <0 0 1 -6 -4|]<br /> EDOs: 31, 46, 77, 80, 111<br /> Badness: 0.001147<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Varda"></a><!-- ws:end:WikiTextHeadingRule:6 -->Varda</h1> Commas: 176/175, 896/891<br /> <br /> Map: [<2 0 11 0 14|, <0 1 -2 0 -4|, <0 0 0 1 1|]<br /> EDOs: 12, 22, 46, 58, 80, 126<br /> Badness: 0.000728<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Mandos"></a><!-- ws:end:WikiTextHeadingRule:8 -->Mandos</h1> Commas: 176/175, 243/242<br /> <br /> Map: [<1 1 0 6 2|, <0 2 0 5 5|, <0 0 1 -2 0|]<br /> EDOs: 7, 24, 31, 58, 89<br /> Badness: 0.000751<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Mandos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 144/143, 176/175, 243/242<br /> <br /> Map: [<1 1 0 6 2 4|, <0 2 0 5 5 -1|, <0 0 1 -2 0 0|]<br /> EDOs: 7, 24, 31, 58<br /> Badness: 0.000923<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Ulmo"></a><!-- ws:end:WikiTextHeadingRule:12 -->Ulmo</h1> Commas: 176/175, 2200/2187<br /> <br /> Map: [<1 0 0 1, -3|, <0 1 0 7 7|, <0 0 1 -4 -2|]<br /> EDOs: 7, 39, 46, 53, 80, 126, 179, 259cd, 385bcd<br /> Badness: 0.00123<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Ulmo-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> Commas: 169/168, 176/175, 325/324<br /> <br /> Map: [<1 0 0 1, -3 2|, <0 1 0 7 7 4|, <0 0 1 -4 -2 -2|]<br /> EDOs: 7, 39, 46, 53, 80, 133d, 179, 312cdf<br /> Badness: 0.000932</body></html>