List of 22et rank two temperaments by badness
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Below are listed rank-two temperaments supported by the 22et patent val, below the indicated cutoff in TE badness. =7-limit temperaments with badness below 0.06= Listed is the wedgie and the TE badness times 1000 for 14 temperaments with badness less than 0.06. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<5 1 12 -10 5 25]] || Magic || 18.918 || 225/224 245/243 || || 2 || <<2 -4 -4 -11 -12 2]] || Pajara || 20.033 || 50/49 64/63 || || 3 || <<7 -3 8 -21 -7 27]] || Orwell || 20.735 || 225/224 1728/1715 || || 4 || <<23 -13 42 -74 2 134]] || Fifthplus || 25.840 || 65625/65536 420175/419904 || || 5 || <<1 9 -2 12 -6 -30]] || Superpyth || 32.318 || 64/63 245/243 || || 6 || <<12 -2 20 -31 -2 52]] || Wizard || 40.846 || 225/224 118098/117649 || || 7 || <<3 5 -6 1 -18 -28]] || Porcupine || 41.057 || 64/63 250/243 || || 8 || <<11 -11 22 -43 4 82]] || Hendecatonic || 41.081 || 6144/6125 10976/10935 || || 9 || <<8 6 6 -9 -13 -3]] || Doublewide || 43.462 || 50/49 875/864 || || 10 || <<6 10 10 2 -1 -5]] || Hedgehog || 43.983 || 50/49 245/243 || || 11 || <<4 -8 14 -22 11 55]] || Shrutar || 47.377 || 245/243 2048/2025 || || 12 || <<3 5 16 1 17 23]] || Porky || 54.389 || 225/224 250/243 || || 13 || <<6 -12 10 -33 -1 57]] || Echidna || 58.033 || 1728/1715 2048/2025 || || 14 || <<18 -14 30 -64 -3 109]] || Septisuperfourth || 59.241 || 6144/6125 118098/117649 || =11-limit temperaments with badness below 0.05= Listed is the wedgie and the TE badness times 1000 for 38 temperaments with badness less than 0.05. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<7 -3 8 2 -21 -7 -21 27 15 -22]] || || 15.231 || 99/98 121/120 176/175 || || 2 || <<12 -2 20 -6 -31 -2 -51 52 -7 -86]] || || 18.539 || 225/224 385/384 4000/3993 || || 3 || <<2 -4 -4 -12 -11 -12 -26 2 -14 -20]] || || 20.343 || 50/49 64/63 99/98 || || 4 || <<5 1 12 -8 -10 5 -30 25 -22 -64]] || || 20.352 || 100/99 225/224 245/243 || || 5 || <<3 5 -6 4 1 -18 -4 -28 -8 32]] || || 21.562 || 55/54 64/63 100/99 || || 6 || <<6 10 10 8 2 -1 -8 -5 -16 -12]] || || 23.095 || 50/49 55/54 99/98 || || 7 || <<18 -14 30 -20 -64 -3 -94 109 2 -160]] || || 24.619 || 540/539 4000/3993 5632/5625 || || 8 || <<1 9 -2 16 12 -6 22 -30 6 52]] || || 24.976 || 64/63 100/99 245/243 || || 9 || <<6 -12 10 -14 -33 -1 -43 57 9 -74]] || || 25.987 || 176/175 540/539 896/891 || || 10 || <<4 -8 14 -2 -22 11 -17 55 23 -54]] || || 26.489 || 121/120 176/175 245/243 || || 11 || <<5 1 12 14 -10 5 5 25 29 -2]] || || 27.109 || 55/54 99/98 176/175 || || 12 || <<3 5 16 4 1 17 -4 23 -8 -44]] || || 27.268 || 55/54 100/99 225/224 || || 13 || <<46 -26 84 -34 -148 4 -213 268 11 -386]] || || 27.785 || 9801/9800 41503/41472 65625/65536 || || 14 || <<2 -4 -4 10 -11 -12 9 2 37 42]] || || 28.349 || 50/49 55/54 64/63 || || 15 || <<34 -24 64 -28 -117 6 -162 216 18 -300]] || || 28.943 || 5632/5625 9801/9800 41503/41472 || || 16 || <<8 6 6 -4 -9 -13 -34 -3 -30 -32]] || || 32.058 || 50/49 99/98 875/864 || || 17 || <<16 -10 34 -8 -53 9 -68 107 16 -140]] || || 32.080 || 385/384 3388/3375 9801/9800 || || 18 || <<1 -13 -2 -6 -23 -6 -13 32 31 -10]] || || 32.203 || 64/63 99/98 121/120 || || 19 || <<1 9 -2 -6 12 -6 -13 -30 -45 -10]] || || 32.768 || 55/54 64/63 99/98 || || 20 || <<8 6 6 18 -9 -13 1 -3 21 30]] || || 35.202 || 50/49 55/54 176/175 || || 21 || <<9 -7 26 -10 -32 16 -47 80 1 -118]] || || 35.844 || 245/243 385/384 4000/3993 || || 22 || <<10 2 24 6 -20 10 -25 50 7 -66]] || || 35.864 || 121/120 225/224 245/243 || || 23 || <<9 -7 4 -10 -32 -19 -47 29 1 -42]] || || 36.700 || 99/98 176/175 2560/2541 || || 24 || <<11 -11 22 -22 -43 4 -73 82 -13 -138]] || || 38.042 || 540/539 896/891 4375/4356 || || 25 || <<4 -8 -8 -2 -22 -24 -17 4 23 22]] || || 38.890 || 50/49 64/63 121/120 || || 26 || <<10 2 2 6 -20 -25 -25 -1 7 10]] || || 39.151 || 50/49 121/120 176/175 || || 27 || <<19 -5 28 -4 -52 -9 -72 79 8 -108]] || || 40.603 || 225/224 385/384 43923/43750 || || 28 || <<13 7 18 10 -19 -8 -29 22 -1 -34]] || || 41.282 || 99/98 121/120 625/616 || || 29 || <<30 -16 50 -26 -95 -5 -145 161 -5 -246]] || || 42.972 || 540/539 4000/3993 65625/65536 || || 30 || <<13 -15 18 -12 -54 -8 -64 84 24 -96]] || || 43.309 || 176/175 540/539 16384/16335 || || 31 || <<4 14 14 20 13 11 18 -7 -2 8]] || || 45.052 || 50/49 99/98 2662/2625 || || 32 || <<2 -4 18 -12 -11 23 -26 53 -14 -96]] || || 45.270 || 100/99 385/384 1232/1215 || || 33 || <<7 -3 8 -20 -21 -7 -56 27 -36 -84]] || || 45.950 || 100/99 225/224 1728/1715 || || 34 || <<11 -11 22 0 -43 4 -38 82 38 -76]] || || 46.088 || 121/120 176/175 10976/10935 || || 35 || <<5 1 -10 -8 -10 -30 -30 -26 -22 12]] || || 47.379 || 64/63 100/99 605/588 || || 36 || <<28 -12 54 -14 -84 7 -119 159 9 -226]] || || 47.776 || 385/384 9801/9800 456533/455625 || || 37 || <<0 0 0 22 0 0 35 0 51 62]] || || 48.372 || 50/49 64/63 245/243 || || 38 || <<25 -17 38 -18 -85 -10 -115 136 17 -182]] || || 49.466 || 540/539 5632/5625 35937/35840 ||
Original HTML content:
<html><head><title>List of 22et rank two temperaments by badness</title></head><body>Below are listed rank-two temperaments supported by the 22et patent val, below the indicated cutoff in TE badness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x7-limit temperaments with badness below 0.06"></a><!-- ws:end:WikiTextHeadingRule:0 -->7-limit temperaments with badness below 0.06</h1>
Listed is the wedgie and the TE badness times 1000 for 14 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><<5 1 12 -10 5 25]]<br />
</td>
<td>Magic<br />
</td>
<td>18.918<br />
</td>
<td>225/224 245/243<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 -4 -4 -11 -12 2]]<br />
</td>
<td>Pajara<br />
</td>
<td>20.033<br />
</td>
<td>50/49 64/63<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<7 -3 8 -21 -7 27]]<br />
</td>
<td>Orwell<br />
</td>
<td>20.735<br />
</td>
<td>225/224 1728/1715<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<23 -13 42 -74 2 134]]<br />
</td>
<td>Fifthplus<br />
</td>
<td>25.840<br />
</td>
<td>65625/65536 420175/419904<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<1 9 -2 12 -6 -30]]<br />
</td>
<td>Superpyth<br />
</td>
<td>32.318<br />
</td>
<td>64/63 245/243<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<12 -2 20 -31 -2 52]]<br />
</td>
<td>Wizard<br />
</td>
<td>40.846<br />
</td>
<td>225/224 118098/117649<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<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>8<br />
</td>
<td><<11 -11 22 -43 4 82]]<br />
</td>
<td>Hendecatonic<br />
</td>
<td>41.081<br />
</td>
<td>6144/6125 10976/10935<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<8 6 6 -9 -13 -3]]<br />
</td>
<td>Doublewide<br />
</td>
<td>43.462<br />
</td>
<td>50/49 875/864<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<6 10 10 2 -1 -5]]<br />
</td>
<td>Hedgehog<br />
</td>
<td>43.983<br />
</td>
<td>50/49 245/243<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<4 -8 14 -22 11 55]]<br />
</td>
<td>Shrutar<br />
</td>
<td>47.377<br />
</td>
<td>245/243 2048/2025<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<3 5 16 1 17 23]]<br />
</td>
<td>Porky<br />
</td>
<td>54.389<br />
</td>
<td>225/224 250/243<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<6 -12 10 -33 -1 57]]<br />
</td>
<td>Echidna<br />
</td>
<td>58.033<br />
</td>
<td>1728/1715 2048/2025<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<18 -14 30 -64 -3 109]]<br />
</td>
<td>Septisuperfourth<br />
</td>
<td>59.241<br />
</td>
<td>6144/6125 118098/117649<br />
</td>
</tr>
</table>
<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x11-limit temperaments with badness below 0.05"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit temperaments with badness below 0.05</h1>
Listed is the wedgie and the TE badness times 1000 for 38 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>
</table>
<br />
<table class="wiki_table">
<tr>
<td>1<br />
</td>
<td><<7 -3 8 2 -21 -7 -21 27 15 -22]]<br />
</td>
<td><br />
</td>
<td>15.231<br />
</td>
<td>99/98 121/120 176/175<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<12 -2 20 -6 -31 -2 -51 52 -7 -86]]<br />
</td>
<td><br />
</td>
<td>18.539<br />
</td>
<td>225/224 385/384 4000/3993<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]<br />
</td>
<td><br />
</td>
<td>20.343<br />
</td>
<td>50/49 64/63 99/98<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<5 1 12 -8 -10 5 -30 25 -22 -64]]<br />
</td>
<td><br />
</td>
<td>20.352<br />
</td>
<td>100/99 225/224 245/243<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<3 5 -6 4 1 -18 -4 -28 -8 32]]<br />
</td>
<td><br />
</td>
<td>21.562<br />
</td>
<td>55/54 64/63 100/99<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 10 10 8 2 -1 -8 -5 -16 -12]]<br />
</td>
<td><br />
</td>
<td>23.095<br />
</td>
<td>50/49 55/54 99/98<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<18 -14 30 -20 -64 -3 -94 109 2 -160]]<br />
</td>
<td><br />
</td>
<td>24.619<br />
</td>
<td>540/539 4000/3993 5632/5625<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<1 9 -2 16 12 -6 22 -30 6 52]]<br />
</td>
<td><br />
</td>
<td>24.976<br />
</td>
<td>64/63 100/99 245/243<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<6 -12 10 -14 -33 -1 -43 57 9 -74]]<br />
</td>
<td><br />
</td>
<td>25.987<br />
</td>
<td>176/175 540/539 896/891<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<4 -8 14 -2 -22 11 -17 55 23 -54]]<br />
</td>
<td><br />
</td>
<td>26.489<br />
</td>
<td>121/120 176/175 245/243<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<5 1 12 14 -10 5 5 25 29 -2]]<br />
</td>
<td><br />
</td>
<td>27.109<br />
</td>
<td>55/54 99/98 176/175<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<3 5 16 4 1 17 -4 23 -8 -44]]<br />
</td>
<td><br />
</td>
<td>27.268<br />
</td>
<td>55/54 100/99 225/224<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<46 -26 84 -34 -148 4 -213 268 11 -386]]<br />
</td>
<td><br />
</td>
<td>27.785<br />
</td>
<td>9801/9800 41503/41472 65625/65536<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<2 -4 -4 10 -11 -12 9 2 37 42]]<br />
</td>
<td><br />
</td>
<td>28.349<br />
</td>
<td>50/49 55/54 64/63<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<34 -24 64 -28 -117 6 -162 216 18 -300]]<br />
</td>
<td><br />
</td>
<td>28.943<br />
</td>
<td>5632/5625 9801/9800 41503/41472<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<8 6 6 -4 -9 -13 -34 -3 -30 -32]]<br />
</td>
<td><br />
</td>
<td>32.058<br />
</td>
<td>50/49 99/98 875/864<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<16 -10 34 -8 -53 9 -68 107 16 -140]]<br />
</td>
<td><br />
</td>
<td>32.080<br />
</td>
<td>385/384 3388/3375 9801/9800<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<1 -13 -2 -6 -23 -6 -13 32 31 -10]]<br />
</td>
<td><br />
</td>
<td>32.203<br />
</td>
<td>64/63 99/98 121/120<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><<1 9 -2 -6 12 -6 -13 -30 -45 -10]]<br />
</td>
<td><br />
</td>
<td>32.768<br />
</td>
<td>55/54 64/63 99/98<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><<8 6 6 18 -9 -13 1 -3 21 30]]<br />
</td>
<td><br />
</td>
<td>35.202<br />
</td>
<td>50/49 55/54 176/175<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><<9 -7 26 -10 -32 16 -47 80 1 -118]]<br />
</td>
<td><br />
</td>
<td>35.844<br />
</td>
<td>245/243 385/384 4000/3993<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><<10 2 24 6 -20 10 -25 50 7 -66]]<br />
</td>
<td><br />
</td>
<td>35.864<br />
</td>
<td>121/120 225/224 245/243<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td><<9 -7 4 -10 -32 -19 -47 29 1 -42]]<br />
</td>
<td><br />
</td>
<td>36.700<br />
</td>
<td>99/98 176/175 2560/2541<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td><<11 -11 22 -22 -43 4 -73 82 -13 -138]]<br />
</td>
<td><br />
</td>
<td>38.042<br />
</td>
<td>540/539 896/891 4375/4356<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><<4 -8 -8 -2 -22 -24 -17 4 23 22]]<br />
</td>
<td><br />
</td>
<td>38.890<br />
</td>
<td>50/49 64/63 121/120<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><<10 2 2 6 -20 -25 -25 -1 7 10]]<br />
</td>
<td><br />
</td>
<td>39.151<br />
</td>
<td>50/49 121/120 176/175<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><<19 -5 28 -4 -52 -9 -72 79 8 -108]]<br />
</td>
<td><br />
</td>
<td>40.603<br />
</td>
<td>225/224 385/384 43923/43750<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><<13 7 18 10 -19 -8 -29 22 -1 -34]]<br />
</td>
<td><br />
</td>
<td>41.282<br />
</td>
<td>99/98 121/120 625/616<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td><<30 -16 50 -26 -95 -5 -145 161 -5 -246]]<br />
</td>
<td><br />
</td>
<td>42.972<br />
</td>
<td>540/539 4000/3993 65625/65536<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td><<13 -15 18 -12 -54 -8 -64 84 24 -96]]<br />
</td>
<td><br />
</td>
<td>43.309<br />
</td>
<td>176/175 540/539 16384/16335<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td><<4 14 14 20 13 11 18 -7 -2 8]]<br />
</td>
<td><br />
</td>
<td>45.052<br />
</td>
<td>50/49 99/98 2662/2625<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td><<2 -4 18 -12 -11 23 -26 53 -14 -96]]<br />
</td>
<td><br />
</td>
<td>45.270<br />
</td>
<td>100/99 385/384 1232/1215<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td><<7 -3 8 -20 -21 -7 -56 27 -36 -84]]<br />
</td>
<td><br />
</td>
<td>45.950<br />
</td>
<td>100/99 225/224 1728/1715<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td><<11 -11 22 0 -43 4 -38 82 38 -76]]<br />
</td>
<td><br />
</td>
<td>46.088<br />
</td>
<td>121/120 176/175 10976/10935<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td><<5 1 -10 -8 -10 -30 -30 -26 -22 12]]<br />
</td>
<td><br />
</td>
<td>47.379<br />
</td>
<td>64/63 100/99 605/588<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td><<28 -12 54 -14 -84 7 -119 159 9 -226]]<br />
</td>
<td><br />
</td>
<td>47.776<br />
</td>
<td>385/384 9801/9800 456533/455625<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td><<0 0 0 22 0 0 35 0 51 62]]<br />
</td>
<td><br />
</td>
<td>48.372<br />
</td>
<td>50/49 64/63 245/243<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td><<25 -17 38 -18 -85 -10 -115 136 17 -182]]<br />
</td>
<td><br />
</td>
<td>49.466<br />
</td>
<td>540/539 5632/5625 35937/35840<br />
</td>
</tr>
</table>
</body></html>