Hemimage temperaments
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- This revision was by author genewardsmith and made on 2014-02-18 15:17:27 UTC.
- The original revision id was 490297950.
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Original Wikitext content:
[[toc|flat]] Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3> = 10976/10935. =Commatic= ==7-limit== Commas: 10976/10935, 50421/50000 POTE generator: ~81/80 = 20.377 Map: [<2 3 4 5|, <0 5 19 18|] Wedgie: <<10 38 36 37 29 -23|| EDOs: 58, 118, 294, 412d, 530d Badness: 0.0843 ==11-limit== Commas: 441/440, 3388/3375, 8019/8000 POTE generator: ~81/80 = 20.390 Map: [<2 3 4 5 6|, <0 5 19 18 27|] EDOs: 58, 118, 294, 412d Badness: 0.0305 =Chromat= Commas: 10976/10935, 235298/234375 POTE generator: ~28/27 = 60.528 Map: [<3 4 5 6|, <0 5 13 16|] Wedgie: <<15 39 48 27 34 2|| EDOs: 60, 99, 258, 357, 456 Badness: 0.0575 =Degrees= Commas: 10976/10935, 390625/388962 POTE generator: ~3/2 = 703.015 Map: [<20 0 -17 -39|, <0 1 2 3|] Wedgie: <<20 40 60 17 39 27|| EDOs: 60, 80, 140, 640b, 780b, 920b Badness: 0.1065 ==11-limit== Commas: 1331/1323, 1375/1372, 2200/2187 POTE generator: ~3/2 = 703.231 Map: [<20 0 -17 -39 -26|, <0 1 2 3 3|] EDOs: 80, 140, 360, 500be, 860bde Badness: 0.0468 ==13-limit== Commas: 325/324, 352/351, 1001/1000, 1331/1323 POTE generator: ~3/2 = 703.080 Map: [<20 0 -17 -39 -26 74|, <0 1 2 3 3 0|] EDOs: 60e, 80, 140, 500be, 640be, 780be Badness: 0.0327 =Subfourth= Commas: 10976/10935, 65536/64827 POTE generator: ~21/16 = 475.991 Map: [<1 0 17 4|, <0 4 -37 -3|] EDOs: 58, 121, 179, 300bd, 479bcd Badness: 0.1407 ==11-limit== Commas: 540/539, 896/891, 12005/11979 POTE generator: ~21/16 = 475.995 Map: [<1 0 17 4 11|, <0 4 -37 -3 -19|] EDOs: 58, 121, 179e, 300bde Badness: 0.0453 ==13-limit== Commas: 352/351, 364/363, 540/539, 676/675 POTE generator: ~21/16 = 475.996 Map: [<1 0 17 4 11 16|, <0 4 -37 -3 -19 -31|] EDOs: 58, 121, 179ef, 300bdef Badness: 0.0238
Original HTML content:
<html><head><title>Hemimage temperaments</title></head><body><!-- ws:start:WikiTextTocRule:20:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><a href="#Commatic">Commatic</a><!-- 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="#Chromat">Chromat</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Degrees">Degrees</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Subfourth">Subfourth</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> <!-- ws:end:WikiTextTocRule:31 --><br /> <br /> Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3> = 10976/10935.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Commatic"></a><!-- ws:end:WikiTextHeadingRule:0 -->Commatic</h1> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Commatic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit</h2> Commas: 10976/10935, 50421/50000<br /> <br /> POTE generator: ~81/80 = 20.377<br /> <br /> Map: [<2 3 4 5|, <0 5 19 18|]<br /> Wedgie: <<10 38 36 37 29 -23||<br /> EDOs: 58, 118, 294, 412d, 530d<br /> Badness: 0.0843<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Commatic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> Commas: 441/440, 3388/3375, 8019/8000<br /> <br /> POTE generator: ~81/80 = 20.390<br /> <br /> Map: [<2 3 4 5 6|, <0 5 19 18 27|]<br /> EDOs: 58, 118, 294, 412d<br /> Badness: 0.0305<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Chromat"></a><!-- ws:end:WikiTextHeadingRule:6 -->Chromat</h1> Commas: 10976/10935, 235298/234375<br /> <br /> POTE generator: ~28/27 = 60.528<br /> <br /> Map: [<3 4 5 6|, <0 5 13 16|]<br /> Wedgie: <<15 39 48 27 34 2||<br /> EDOs: 60, 99, 258, 357, 456<br /> Badness: 0.0575<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Degrees"></a><!-- ws:end:WikiTextHeadingRule:8 -->Degrees</h1> Commas: 10976/10935, 390625/388962<br /> <br /> POTE generator: ~3/2 = 703.015<br /> <br /> Map: [<20 0 -17 -39|, <0 1 2 3|]<br /> Wedgie: <<20 40 60 17 39 27||<br /> EDOs: 60, 80, 140, 640b, 780b, 920b<br /> Badness: 0.1065<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Degrees-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2> Commas: 1331/1323, 1375/1372, 2200/2187<br /> <br /> POTE generator: ~3/2 = 703.231<br /> <br /> Map: [<20 0 -17 -39 -26|, <0 1 2 3 3|]<br /> EDOs: 80, 140, 360, 500be, 860bde<br /> Badness: 0.0468<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Degrees-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2> Commas: 325/324, 352/351, 1001/1000, 1331/1323<br /> <br /> POTE generator: ~3/2 = 703.080<br /> <br /> Map: [<20 0 -17 -39 -26 74|, <0 1 2 3 3 0|]<br /> EDOs: 60e, 80, 140, 500be, 640be, 780be<br /> Badness: 0.0327<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Subfourth"></a><!-- ws:end:WikiTextHeadingRule:14 -->Subfourth</h1> Commas: 10976/10935, 65536/64827<br /> <br /> POTE generator: ~21/16 = 475.991<br /> <br /> Map: [<1 0 17 4|, <0 4 -37 -3|]<br /> EDOs: 58, 121, 179, 300bd, 479bcd<br /> Badness: 0.1407<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Subfourth-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> Commas: 540/539, 896/891, 12005/11979<br /> <br /> POTE generator: ~21/16 = 475.995<br /> <br /> Map: [<1 0 17 4 11|, <0 4 -37 -3 -19|]<br /> EDOs: 58, 121, 179e, 300bde<br /> Badness: 0.0453<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Subfourth-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2> Commas: 352/351, 364/363, 540/539, 676/675<br /> <br /> POTE generator: ~21/16 = 475.996<br /> <br /> Map: [<1 0 17 4 11 16|, <0 4 -37 -3 -19 -31|]<br /> EDOs: 58, 121, 179ef, 300bdef<br /> Badness: 0.0238</body></html>