List of 37et rank two temperaments by badness

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Below are listed rank-two temperaments supported by the 37et patent val, below the indicated cutoff in TE badness.

=5-limit temperaments with badness below 0.1=
Listed is the wedgie and the TE badness times 1000 for two temperaments with badness less than 0.1.
|| 1 || <<3 5 1]] || Porcupine || 30.778 || 250/243 ||
|| 2 || <<8 1 -17]] || Würschmidt || 40.603 || 393216/390625 ||

=7-limit temperaments with badness below 0.06=
Listed is the wedgie and the TE badness times 1000 for four temperaments with badness less than 0.06.
|| Rank || Wedgie || Name || Badness || Commas ||
|| 1 || <<16 2 5 -34 -37 6]] || Hemiwürschmidt || 20.307 || 2401/2400 3136/3125 ||
|| 2 || <<3 5 -6 1 -18 -28]] || Porcupine || 41.057 || 64/63 250/243 ||
|| 3 || <<2 -9 -4 -19 -12 16]] || Beatles || 45.872 || 64/63 686/675 ||
|| 4 || <<78 19 29 -151 -173 14]] || || 56.890 || 2401/2400 133590662774784/133514404296875 ||

=11-limit temperaments with badness below 0.05=
Listed is the wedgie and the TE badness times 1000 for nine temperaments with badness less than 0.05.
|| Rank || Wedgie || Name || Badness || Commas ||
|| 1 || <<3 5 -6 4 1 -18 -4 -28 -8 32]] || Porcupine || 21.562 || 55/54 64/63 100/99 ||
|| 2 || <<16 2 5 9 -34 -37 -41 6 14 8]] || Hemiwur || 29.270 || 121/120 176/175 1375/1372 ||
|| 3 || <<30 13 14 3 -49 -62 -99 -4 -38 -40]] || Cotritone || 32.225 || 385/384 1375/1372 4000/3993 ||
|| 4 || <<13 -3 11 5 -35 -19 -37 34 22 -24]] || Twothirdtonic || 40.768 || 121/120 176/175 686/675 ||
|| 5 || <<5 -4 -10 -18 -18 -30 -46 -12 -28 -16]] || Passion || 40.809 || 64/63 100/99 1375/1372 ||
|| 6 || <<94 21 34 2 -185 -210 -322 20 -68 -112]] || || 43.106 || 2401/2400 43923/43904 172032/171875 ||
|| 7 || <<14 11 9 -6 -15 -25 -58 -10 -52 -48]] || Quasitemp || 43.209 || 100/99 385/384 1375/1372 ||
|| 8 || <<2 -9 -4 -22 -19 -12 -42 16 -20 -48]] || Beatles || 45.639 || 64/63 100/99 686/675 ||
|| 9 || <<9 15 19 12 3 5 -12 2 -24 -32]] || Ammonite || 45.694 || 55/54 100/99 686/675 ||

=13-limit temperaments with badness below 0.04=
Listed is the wedgie and the TE badness times 1000 for 22 temperaments with badness less than 0.04.
|| Rank || Wedgie || Name || Badness || Commas ||

|| 1 || [3 5 -6 4 17 1 -18 -4 16 -28 -8 21 32 70 44] || Porcupinefish || 25.314 || 55/54 64/63 91/90 100/99 ||
|| 2 || [13 -3 11 5 12 -35 -19 -37 -29 34 22 39 -24 -7 23] || Twothirdtonic || 25.941 || 91/90 121/120 169/168 176/175 ||
|| 3 || [94 21 34 2 27 -185 -210 -322 -305 20 -68 -15 -112 -50 86] || || 26.829 || 1001/1000 1716/1715 4225/4224 6656/6655 ||
|| 4 || [9 15 19 12 14 3 5 -12 -11 2 -24 -23 -32 -31 4] || Ammonite || 27.168 || 55/54 91/90 100/99 169/168 ||
|| 5 || [46 15 19 12 14 -83 -99 -140 -148 2 -24 -23 -32 -31 4] || || 27.429 || 385/384 625/624 847/845 1375/1372 ||
|| 6 || [16 2 5 9 -8 -34 -37 -41 -72 6 14 -26 8 -41 -61] || Hemiwur || 28.432 || 121/120 176/175 196/195 275/273 ||
|| 7 || [30 13 14 3 22 -49 -62 -99 -76 -4 -38 3 -40 10 65] || Cotritone || 28.683 || 169/168 364/363 1001/1000 1716/1715 ||
|| 8 || [27 8 20 -1 5 -50 -44 -95 -92 24 -30 -18 -72 -60 21] || Emka || 29.741 || 196/195 364/363 385/384 625/624 ||
|| 9 || [2 -9 -4 -22 -1 -19 -12 -42 -9 16 -20 31 -48 12 78] || Beatles || 30.161 || 64/63 91/90 100/99 169/168 ||
|| 10 || [5 -4 -10 -18 -21 -18 -30 -46 -52 -12 -28 -34 -16 -22 -6] || Passion || 30.886 || 64/63 100/99 196/195 275/273 ||
|| 11 || [18 -7 1 -13 -9 -53 -49 -83 -81 22 -6 5 -40 -29 17] || || 32.205 || 176/175 196/195 364/363 512/507 ||
|| 12 || [19 7 -1 13 9 -33 -55 -45 -56 -22 6 -5 40 29 -17] || Semaja || 32.564 || 121/120 169/168 176/175 275/273 ||
|| 13 || [14 11 9 -6 -7 -15 -25 -58 -63 -10 -52 -57 -48 -53 -2] || || 32.913 || 100/99 196/195 275/273 385/384 ||
|| 14 || [11 6 15 27 13 -16 -7 5 -20 18 42 8 24 -19 -55] || || 33.562 || 55/54 91/90 169/168 176/175 ||
|| 15 || [2 -9 -4 15 -1 -19 -12 17 -9 16 66 31 56 12 -59] || || 33.971 || 55/54 64/63 91/90 169/168 ||
|| 16 || [11 6 15 -10 13 -16 -7 -54 -20 18 -44 8 -80 -19 82] || || 34.295 || 91/90 100/99 169/168 385/384 ||
|| 17 || [3 5 -6 4 -20 1 -18 -4 -43 -28 -8 -65 32 -34 -84] || || 35.130 || 55/54 64/63 100/99 196/195 ||
|| 18 || [48 6 15 -10 13 -102 -111 -182 -157 18 -44 8 -80-19 82] || || 35.398 || 364/363 1001/1000 1716/1715 3136/3125 ||
|| 19 || [17 16 3 -2 10 -14 -43 -62 -47 -38 -60 -36 -16 17 42] || || 35.724 || 100/99 169/168 275/273 385/384 ||
|| 20 || [21 -2 -5 -9 8 -52 -67 -87 -65 -6 -14 26 -8 41 61] || || 37.577 || 169/168 176/175 364/363 640/637 ||
|| 21 || [8 1 -16 -14 -4 -17 -48 -50 -36 -40 -36 -13 16 48 38] || || 37.834 || 64/63 100/99 169/168 275/273 ||
|| 22 || [35 9 4 -15 1 -67 -92 -145 -128 -16 -66 -31 -56 -12 59] || || 39.533 || 364/363 625/624 1375/1372 2200/2197 ||

Original HTML content:

<html><head><title>List of 37et rank two temperaments by badness</title></head><body>Below are listed rank-two temperaments supported by the 37et patent val, below the indicated cutoff in TE badness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit temperaments with badness below 0.1"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit temperaments with badness below 0.1</h1>
Listed is the wedgie and the TE badness times 1000 for two temperaments with badness less than 0.1.<br />


<table class="wiki_table">
    <tr>
        <td>1<br />
</td>
        <td>&lt;&lt;3 5 1]]<br />
</td>
        <td>Porcupine<br />
</td>
        <td>30.778<br />
</td>
        <td>250/243<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>&lt;&lt;8 1 -17]]<br />
</td>
        <td>Würschmidt<br />
</td>
        <td>40.603<br />
</td>
        <td>393216/390625<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x7-limit temperaments with badness below 0.06"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit temperaments with badness below 0.06</h1>
Listed is the wedgie and the TE badness times 1000 for four temperaments with badness less than 0.06.<br />


<table class="wiki_table">
    <tr>
        <td>Rank<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Badness<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>&lt;&lt;16 2 5 -34 -37 6]]<br />
</td>
        <td>Hemiwürschmidt<br />
</td>
        <td>20.307<br />
</td>
        <td>2401/2400 3136/3125<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>&lt;&lt;3 5 -6 1 -18 -28]]<br />
</td>
        <td>Porcupine<br />
</td>
        <td>41.057<br />
</td>
        <td>64/63 250/243<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>&lt;&lt;2 -9 -4 -19 -12 16]]<br />
</td>
        <td>Beatles<br />
</td>
        <td>45.872<br />
</td>
        <td>64/63 686/675<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>&lt;&lt;78 19 29 -151 -173 14]]<br />
</td>
        <td><br />
</td>
        <td>56.890<br />
</td>
        <td>2401/2400 133590662774784/133514404296875<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x11-limit temperaments with badness below 0.05"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit temperaments with badness below 0.05</h1>
Listed is the wedgie and the TE badness times 1000 for nine temperaments with badness less than 0.05.<br />


<table class="wiki_table">
    <tr>
        <td>Rank<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Badness<br />
</td>
        <td>Commas<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>&lt;&lt;3 5 -6 4 1 -18 -4 -28 -8 32]]<br />
</td>
        <td>Porcupine<br />
</td>
        <td>21.562<br />
</td>
        <td>55/54 64/63 100/99<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>&lt;&lt;16 2 5 9 -34 -37 -41 6 14 8]]<br />
</td>
        <td>Hemiwur<br />
</td>
        <td>29.270<br />
</td>
        <td>121/120 176/175 1375/1372<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>&lt;&lt;30 13 14 3 -49 -62 -99 -4 -38 -40]]<br />
</td>
        <td>Cotritone<br />
</td>
        <td>32.225<br />
</td>
        <td>385/384 1375/1372 4000/3993<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>&lt;&lt;13 -3 11 5 -35 -19 -37 34 22 -24]]<br />
</td>
        <td>Twothirdtonic<br />
</td>
        <td>40.768<br />
</td>
        <td>121/120 176/175 686/675<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>&lt;&lt;5 -4 -10 -18 -18 -30 -46 -12 -28 -16]]<br />
</td>
        <td>Passion<br />
</td>
        <td>40.809<br />
</td>
        <td>64/63 100/99 1375/1372<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>&lt;&lt;94 21 34 2 -185 -210 -322 20 -68 -112]]<br />
</td>
        <td><br />
</td>
        <td>43.106<br />
</td>
        <td>2401/2400 43923/43904 172032/171875<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>&lt;&lt;14 11 9 -6 -15 -25 -58 -10 -52 -48]]<br />
</td>
        <td>Quasitemp<br />
</td>
        <td>43.209<br />
</td>
        <td>100/99 385/384 1375/1372<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>&lt;&lt;2 -9 -4 -22 -19 -12 -42 16 -20 -48]]<br />
</td>
        <td>Beatles<br />
</td>
        <td>45.639<br />
</td>
        <td>64/63 100/99 686/675<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>&lt;&lt;9 15 19 12 3 5 -12 2 -24 -32]]<br />
</td>
        <td>Ammonite<br />
</td>
        <td>45.694<br />
</td>
        <td>55/54 100/99 686/675<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="x13-limit temperaments with badness below 0.04"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit temperaments with badness below 0.04</h1>
Listed is the wedgie and the TE badness times 1000 for 22 temperaments with badness less than 0.04.<br />


<table class="wiki_table">
    <tr>
        <td>Rank<br />
</td>
        <td>Wedgie<br />
</td>
        <td>Name<br />
</td>
        <td>Badness<br />
</td>
        <td>Commas<br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td>1<br />
</td>
        <td>[3 5 -6 4 17 1 -18 -4 16 -28 -8 21 32 70 44]<br />
</td>
        <td>Porcupinefish<br />
</td>
        <td>25.314<br />
</td>
        <td>55/54 64/63 91/90 100/99<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>[13 -3 11 5 12 -35 -19 -37 -29 34 22 39 -24 -7 23]<br />
</td>
        <td>Twothirdtonic<br />
</td>
        <td>25.941<br />
</td>
        <td>91/90 121/120 169/168 176/175<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>[94 21 34 2 27 -185 -210 -322 -305 20 -68 -15 -112 -50 86]<br />
</td>
        <td><br />
</td>
        <td>26.829<br />
</td>
        <td>1001/1000 1716/1715 4225/4224 6656/6655<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>[9 15 19 12 14 3 5 -12 -11 2 -24 -23 -32 -31 4]<br />
</td>
        <td>Ammonite<br />
</td>
        <td>27.168<br />
</td>
        <td>55/54 91/90 100/99 169/168<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>[46 15 19 12 14 -83 -99 -140 -148 2 -24 -23 -32 -31 4]<br />
</td>
        <td><br />
</td>
        <td>27.429<br />
</td>
        <td>385/384 625/624 847/845 1375/1372<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>[16 2 5 9 -8 -34 -37 -41 -72 6 14 -26 8 -41 -61]<br />
</td>
        <td>Hemiwur<br />
</td>
        <td>28.432<br />
</td>
        <td>121/120 176/175 196/195 275/273<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>[30 13 14 3 22 -49 -62 -99 -76 -4 -38 3 -40 10 65]<br />
</td>
        <td>Cotritone<br />
</td>
        <td>28.683<br />
</td>
        <td>169/168 364/363 1001/1000 1716/1715<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>[27 8 20 -1 5 -50 -44 -95 -92 24 -30 -18 -72 -60 21]<br />
</td>
        <td>Emka<br />
</td>
        <td>29.741<br />
</td>
        <td>196/195 364/363 385/384 625/624<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>[2 -9 -4 -22 -1 -19 -12 -42 -9 16 -20 31 -48 12 78]<br />
</td>
        <td>Beatles<br />
</td>
        <td>30.161<br />
</td>
        <td>64/63 91/90 100/99 169/168<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>[5 -4 -10 -18 -21 -18 -30 -46 -52 -12 -28 -34 -16 -22 -6]<br />
</td>
        <td>Passion<br />
</td>
        <td>30.886<br />
</td>
        <td>64/63 100/99 196/195 275/273<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>[18 -7 1 -13 -9 -53 -49 -83 -81 22 -6 5 -40 -29 17]<br />
</td>
        <td><br />
</td>
        <td>32.205<br />
</td>
        <td>176/175 196/195 364/363 512/507<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>[19 7 -1 13 9 -33 -55 -45 -56 -22 6 -5 40 29 -17]<br />
</td>
        <td>Semaja<br />
</td>
        <td>32.564<br />
</td>
        <td>121/120 169/168 176/175 275/273<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>[14 11 9 -6 -7 -15 -25 -58 -63 -10 -52 -57 -48 -53 -2]<br />
</td>
        <td><br />
</td>
        <td>32.913<br />
</td>
        <td>100/99 196/195 275/273 385/384<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>[11 6 15 27 13 -16 -7 5 -20 18 42 8 24 -19 -55]<br />
</td>
        <td><br />
</td>
        <td>33.562<br />
</td>
        <td>55/54 91/90 169/168 176/175<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>[2 -9 -4 15 -1 -19 -12 17 -9 16 66 31 56 12 -59]<br />
</td>
        <td><br />
</td>
        <td>33.971<br />
</td>
        <td>55/54 64/63 91/90 169/168<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>[11 6 15 -10 13 -16 -7 -54 -20 18 -44 8 -80 -19 82]<br />
</td>
        <td><br />
</td>
        <td>34.295<br />
</td>
        <td>91/90 100/99 169/168 385/384<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>[3 5 -6 4 -20 1 -18 -4 -43 -28 -8 -65 32 -34 -84]<br />
</td>
        <td><br />
</td>
        <td>35.130<br />
</td>
        <td>55/54 64/63 100/99 196/195<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>[48 6 15 -10 13 -102 -111 -182 -157 18 -44 8 -80-19 82]<br />
</td>
        <td><br />
</td>
        <td>35.398<br />
</td>
        <td>364/363 1001/1000 1716/1715 3136/3125<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>[17 16 3 -2 10 -14 -43 -62 -47 -38 -60 -36 -16 17 42]<br />
</td>
        <td><br />
</td>
        <td>35.724<br />
</td>
        <td>100/99 169/168 275/273 385/384<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>[21 -2 -5 -9 8 -52 -67 -87 -65 -6 -14 26 -8 41 61]<br />
</td>
        <td><br />
</td>
        <td>37.577<br />
</td>
        <td>169/168 176/175 364/363 640/637<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>[8 1 -16 -14 -4 -17 -48 -50 -36 -40 -36 -13 16 48 38]<br />
</td>
        <td><br />
</td>
        <td>37.834<br />
</td>
        <td>64/63 100/99 169/168 275/273<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>[35 9 4 -15 1 -67 -92 -145 -128 -16 -66 -31 -56 -12 59]<br />
</td>
        <td><br />
</td>
        <td>39.533<br />
</td>
        <td>364/363 625/624 1375/1372 2200/2197<br />
</td>
    </tr>
</table>

</body></html>