Orwellismic temperaments
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[[toc]] These temper out |6 3 -1 -3> = 1728/1715, the orwellisma. =Secant= Commas: 1728/1715, 177147/175000 POTE generator: ~10/9 = 185.885 Map: [<2 1 0 5|, <0 7 15 2|] Wedgie: <<14 30 4 15 -33 -75| EDOs: 26, 58, 84, 142, 368cd Badness: 0.0953 ==11-limit== Commas: 441/440, 1344/1331, 1728/1715 POTE genertor: ~10/9 = 185.962 Map: [<2 1 0 5 6|, <0 7 15 2 3|] EDOs: 26, 58, 142e, 200cde Badness: 0.0464 ==13-limit== Commas: 144/143, 351/350, 364/363, 441/440 POTE generator: ~10/9 = 185.955 Map: [<2 1 0 5 6 4|, <0 7 15 2 3 11|] EDOs: 26, 58, 84, 142ef Badness: 0.0250 =Infraorwell= Commas: 1728/1715, 28672/28125 POTE generator: ~7/6 = 269.032 Map: [<1 14 0 16|, <0 -16 3 -17|] Wedgie: <<16 -3 17 -42 -18 48|| EDOs: 9, 49, 58, 165cd, 223bcd Badness: 0.1171 ==11-limit== Commas: 176/175, 540/539, 1344/1331 POTE generator: ~7/6 = 269.036 Map: [<1 14 0 16 12|, <0 -16 3 -17 -11|] EDOs: 9, 49, 58, 165cde Badness: 0.0407 ==13-limit== Commas: 144/143, 176/175, 196/195, 364/363 POTE generator: ~7/6 = 269.021 Map: [<1 14 0 16 12 20|, <0 -16 3 -17 -11 -21|] EDOs: 9, 49f, 58 Badness: 0.0237 =Quartonic= Comma: 390625000/387420489 POTE generator: ~250/243 = 45.233 Map: [<1 2 3|, <0 -11 -18|] EDOs: 26, 27, 53, 239, 292, 345, 398, 451 Badness: 0.1172 ==7-limit== Commas: 1728/1715, 4000/3969 POTE generator: ~36/35 = 45.139 Map: [<1 2 3 3|, <0 -11 -18 -5|] Wedgie: <<11 18 5 3 -23 -39|| EDOs: 26, 27, 53, 80, 133d, 186d, 319d Badness: 0.0426 ==11-limit== Commas: 176/175, 540/539, 2200/2187 POTE generator: ~36/35 = 45.041 Map: [<1 2 3 3 5|, <0 -11 -18 -5 -41|] EDOs: 53, 80, 213d, 293bcd Badness: 0.034 ==13-limit== Commas: 169/168 176/175 325/324 540/539 POTE generator: ~36/35 = 45.080 Map: [<1 2 3 3 5 4|, <0 -11 -18 -5 -41 -8|] EDOs: 53, 80, 133d, 213d Badness: 0.0239 ==Quarto== Commmas: 100/99 245/242 864/847 POTE generator: ~36/35 = 45.132 Map: [<1 2 3 3 4|, <0 -11 -18 -5 -14|] EDOs: 26, 27e, 53e, 80e Badness: 0.0418 ===13-limit=== Commas: 78/77, 100/99, 144/143, 245/242 POTE generator: ~36/35 = 45.205 Map: [<1 2 3 3 4 4|, <0 -11 -18 -5 -14 -8|] EDOs: 26, 27e, 53e Badness: 0.0277 ==Quartz== Commas: 99/98, 385/384, 4000/3969 POTE generator: ~36/35 = 45.385 Map: [<1 2 3 3 3|, <0 -11 -18 -5 12|] EDOs: 26, 53 Badness: 0.0533 ===13-limit=== Commas: 99/98, 169/168, 275/273, 385/384 POTE generator: ~36/35 = 45.387 Map: [<1 2 3 3 3 4|, <0 -11 -18 -5 12 -8|] EDOs: 26, 53, 132e, 185cdef, 238cdef Badness: 0.0288 =Sentinel= Comma: 8968066875/8589934592 POTE generator: ~512/405 = 425.474 Map: [<1 3 -3|, <0 -4 15|] EDOs: 14, 17, 31, 79, 110, 361bc Badness: 0.7234 ==7-limit== Commas: 1728/1715, 3645/3584 POTE generator: ~9/7 = 425.596 Map: [<1 3 -3 6|, <0 -4 15 -9|] Wedgie: <<4 -15 9 -33 3 63|| EDOs: 14, 17, 31, 110, 141, 172b, 375bc Badness: 0.0938 ==11-limit== Commas: 99/98, 243/242, 385/384 POTE generator: ~9/7 = 425.550 Map: [<1 3 -3 6 7|, <0 -4 15 -9 -10|] EDOs: 14, 17, 31, 79, 110e, 141e Badness: 0.0396 ==13-limit== Commas: 99/98, 105/104, 144/143, 243/242 POTE generator: ~9/7 = 425.501 Map: [<1 3 -3 6 7 3|, <0 -4 15 -9 -10 2|] EDOs: 14, 17, 31, 79f, 110ef, 141ef Badness: 0.0374 =Diesic= Comma: 10460353203/9765625000 POTE generator: ~6561/6250 = 38.571 Map: [<1 2 3|, <0 -13 -21|] EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc Badness: 1.3447 ==7-limit== Commas: 1728/1715, 5103/5000 POTE generator: ~36/35 = 38.567 Map: [<1 2 3 3|, <0 -13 -21 -6|] Wedgie: <<13 21 6 3 -27 -45|| EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc Badness: 0.1073 ==11-limit== Commas: 121/120, 441/440, 891/875 POTE generator: ~36/35 = 38.565 Map: [<1 2 3 3 4|, <0 -13 -21 -6 -17|] EDOs: 31, 156ce, 187ce, 218bce, 249bce Badness: 0.0442 ==13-limit== Commas: 66/65, 121/120, 343/338, 441/440 POTE generator: ~36/35 = 38.444 Map: [<1 2 3 3 4 4|, <0 -13 -21 -6 -17 -9|] EDOs: 31, 94cf, 125cf Badness: 0.0381
Original HTML content:
<html><head><title>Orwellismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:44:<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:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 1em;"><a href="#Secant">Secant</a></div> <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 2em;"><a href="#Secant-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 2em;"><a href="#Secant-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 1em;"><a href="#Infraorwell">Infraorwell</a></div> <!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Infraorwell-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 2em;"><a href="#Infraorwell-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 1em;"><a href="#Quartonic">Quartonic</a></div> <!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#Quartonic-7-limit">7-limit</a></div> <!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 2em;"><a href="#Quartonic-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#Quartonic-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#Quartonic-Quarto">Quarto</a></div> <!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 3em;"><a href="#Quartonic-Quarto-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#Quartonic-Quartz">Quartz</a></div> <!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 3em;"><a href="#Quartonic-Quartz-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 1em;"><a href="#Sentinel">Sentinel</a></div> <!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#Sentinel-7-limit">7-limit</a></div> <!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#Sentinel-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 2em;"><a href="#Sentinel-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 1em;"><a href="#Diesic">Diesic</a></div> <!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 2em;"><a href="#Diesic-7-limit">7-limit</a></div> <!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Diesic-11-limit">11-limit</a></div> <!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Diesic-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --></div> <!-- ws:end:WikiTextTocRule:67 --><br /> These temper out |6 3 -1 -3> = 1728/1715, the orwellisma.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Secant"></a><!-- ws:end:WikiTextHeadingRule:0 -->Secant</h1> Commas: 1728/1715, 177147/175000<br /> <br /> POTE generator: ~10/9 = 185.885<br /> <br /> Map: [<2 1 0 5|, <0 7 15 2|]<br /> Wedgie: <<14 30 4 15 -33 -75|<br /> EDOs: 26, 58, 84, 142, 368cd<br /> Badness: 0.0953<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Secant-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2> Commas: 441/440, 1344/1331, 1728/1715<br /> <br /> POTE genertor: ~10/9 = 185.962<br /> <br /> Map: [<2 1 0 5 6|, <0 7 15 2 3|]<br /> EDOs: 26, 58, 142e, 200cde<br /> Badness: 0.0464<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Secant-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2> Commas: 144/143, 351/350, 364/363, 441/440<br /> <br /> POTE generator: ~10/9 = 185.955<br /> <br /> Map: [<2 1 0 5 6 4|, <0 7 15 2 3 11|]<br /> EDOs: 26, 58, 84, 142ef<br /> Badness: 0.0250<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Infraorwell"></a><!-- ws:end:WikiTextHeadingRule:6 -->Infraorwell</h1> Commas: 1728/1715, 28672/28125<br /> <br /> POTE generator: ~7/6 = 269.032<br /> <br /> Map: [<1 14 0 16|, <0 -16 3 -17|]<br /> Wedgie: <<16 -3 17 -42 -18 48||<br /> EDOs: 9, 49, 58, 165cd, 223bcd<br /> Badness: 0.1171<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Infraorwell-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> Commas: 176/175, 540/539, 1344/1331<br /> <br /> POTE generator: ~7/6 = 269.036<br /> <br /> Map: [<1 14 0 16 12|, <0 -16 3 -17 -11|]<br /> EDOs: 9, 49, 58, 165cde<br /> Badness: 0.0407<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Infraorwell-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 144/143, 176/175, 196/195, 364/363<br /> <br /> POTE generator: ~7/6 = 269.021<br /> <br /> Map: [<1 14 0 16 12 20|, <0 -16 3 -17 -11 -21|]<br /> EDOs: 9, 49f, 58<br /> Badness: 0.0237<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Quartonic"></a><!-- ws:end:WikiTextHeadingRule:12 -->Quartonic</h1> Comma: 390625000/387420489<br /> <br /> POTE generator: ~250/243 = 45.233<br /> <br /> Map: [<1 2 3|, <0 -11 -18|]<br /> EDOs: 26, 27, 53, 239, 292, 345, 398, 451<br /> Badness: 0.1172<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="Quartonic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-limit</h2> Commas: 1728/1715, 4000/3969<br /> <br /> POTE generator: ~36/35 = 45.139<br /> <br /> Map: [<1 2 3 3|, <0 -11 -18 -5|]<br /> Wedgie: <<11 18 5 3 -23 -39||<br /> EDOs: 26, 27, 53, 80, 133d, 186d, 319d<br /> Badness: 0.0426<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Quartonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> Commas: 176/175, 540/539, 2200/2187<br /> <br /> POTE generator: ~36/35 = 45.041<br /> <br /> Map: [<1 2 3 3 5|, <0 -11 -18 -5 -41|]<br /> EDOs: 53, 80, 213d, 293bcd<br /> Badness: 0.034<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h2> --><h2 id="toc9"><a name="Quartonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2> Commas: 169/168 176/175 325/324 540/539<br /> <br /> POTE generator: ~36/35 = 45.080<br /> <br /> Map: [<1 2 3 3 5 4|, <0 -11 -18 -5 -41 -8|]<br /> EDOs: 53, 80, 133d, 213d<br /> Badness: 0.0239<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="Quartonic-Quarto"></a><!-- ws:end:WikiTextHeadingRule:20 -->Quarto</h2> Commmas: 100/99 245/242 864/847<br /> <br /> POTE generator: ~36/35 = 45.132<br /> <br /> Map: [<1 2 3 3 4|, <0 -11 -18 -5 -14|]<br /> EDOs: 26, 27e, 53e, 80e<br /> Badness: 0.0418<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h3> --><h3 id="toc11"><a name="Quartonic-Quarto-13-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->13-limit</h3> Commas: 78/77, 100/99, 144/143, 245/242<br /> <br /> POTE generator: ~36/35 = 45.205<br /> <br /> Map: [<1 2 3 3 4 4|, <0 -11 -18 -5 -14 -8|]<br /> EDOs: 26, 27e, 53e<br /> Badness: 0.0277<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="Quartonic-Quartz"></a><!-- ws:end:WikiTextHeadingRule:24 -->Quartz</h2> Commas: 99/98, 385/384, 4000/3969<br /> <br /> POTE generator: ~36/35 = 45.385<br /> <br /> Map: [<1 2 3 3 3|, <0 -11 -18 -5 12|]<br /> EDOs: 26, 53<br /> Badness: 0.0533<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h3> --><h3 id="toc13"><a name="Quartonic-Quartz-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h3> Commas: 99/98, 169/168, 275/273, 385/384<br /> <br /> POTE generator: ~36/35 = 45.387<br /> <br /> Map: [<1 2 3 3 3 4|, <0 -11 -18 -5 12 -8|]<br /> EDOs: 26, 53, 132e, 185cdef, 238cdef<br /> Badness: 0.0288<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="Sentinel"></a><!-- ws:end:WikiTextHeadingRule:28 -->Sentinel</h1> Comma: 8968066875/8589934592<br /> <br /> POTE generator: ~512/405 = 425.474<br /> <br /> Map: [<1 3 -3|, <0 -4 15|]<br /> EDOs: 14, 17, 31, 79, 110, 361bc<br /> Badness: 0.7234<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h2> --><h2 id="toc15"><a name="Sentinel-7-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->7-limit</h2> Commas: 1728/1715, 3645/3584<br /> <br /> POTE generator: ~9/7 = 425.596<br /> <br /> Map: [<1 3 -3 6|, <0 -4 15 -9|]<br /> Wedgie: <<4 -15 9 -33 3 63||<br /> EDOs: 14, 17, 31, 110, 141, 172b, 375bc<br /> Badness: 0.0938<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="Sentinel-11-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->11-limit</h2> Commas: 99/98, 243/242, 385/384 <br /> <br /> POTE generator: ~9/7 = 425.550<br /> <br /> Map: [<1 3 -3 6 7|, <0 -4 15 -9 -10|]<br /> EDOs: 14, 17, 31, 79, 110e, 141e<br /> Badness: 0.0396<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h2> --><h2 id="toc17"><a name="Sentinel-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h2> Commas: 99/98, 105/104, 144/143, 243/242<br /> <br /> POTE generator: ~9/7 = 425.501<br /> <br /> Map: [<1 3 -3 6 7 3|, <0 -4 15 -9 -10 2|]<br /> EDOs: 14, 17, 31, 79f, 110ef, 141ef<br /> Badness: 0.0374<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h1> --><h1 id="toc18"><a name="Diesic"></a><!-- ws:end:WikiTextHeadingRule:36 -->Diesic</h1> Comma: 10460353203/9765625000<br /> <br /> POTE generator: ~6561/6250 = 38.571<br /> <br /> Map: [<1 2 3|, <0 -13 -21|]<br /> EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc<br /> Badness: 1.3447<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h2> --><h2 id="toc19"><a name="Diesic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->7-limit</h2> Commas: 1728/1715, 5103/5000 <br /> <br /> POTE generator: ~36/35 = 38.567<br /> <br /> Map: [<1 2 3 3|, <0 -13 -21 -6|]<br /> Wedgie: <<13 21 6 3 -27 -45||<br /> EDOs: 31, 156c, 187c, 218bc, 249bc, 280bc<br /> Badness: 0.1073<br /> <br /> <!-- ws:start:WikiTextHeadingRule:40:<h2> --><h2 id="toc20"><a name="Diesic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> Commas: 121/120, 441/440, 891/875 <br /> <br /> POTE generator: ~36/35 = 38.565<br /> <br /> Map: [<1 2 3 3 4|, <0 -13 -21 -6 -17|]<br /> EDOs: 31, 156ce, 187ce, 218bce, 249bce<br /> Badness: 0.0442<br /> <br /> <!-- ws:start:WikiTextHeadingRule:42:<h2> --><h2 id="toc21"><a name="Diesic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->13-limit</h2> Commas: 66/65, 121/120, 343/338, 441/440<br /> <br /> POTE generator: ~36/35 = 38.444<br /> <br /> Map: [<1 2 3 3 4 4|, <0 -13 -21 -6 -17 -9|]<br /> EDOs: 31, 94cf, 125cf<br /> Badness: 0.0381</body></html>