List of 27edo rank two temperaments by badness
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2012-04-15 19:53:34 UTC.
- The original revision id was 320818102.
- The revision comment was:
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Original Wikitext content:
Below are listed rank-two temperaments supported by either the 27edo patent val or the 27e val, that is, the <27 43 63 76 94 100| 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 four temperaments with badness less than 0.1. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<18 27 1]] || Ennealimmal || 17.191 || 7629394531250/7625597484987 || || 2 || <<3 0 -7]] || Augmented || 22.315 || 128/125 || || 3 || <<7 9 -2]] || Sensipent || 35.220 || 78732/78125 || || 4 || <<4 9 5]] || Tetracot || 48.518 || 20000/19683 || =7-limit temperaments with badness below 0.06= Listed is the wedgie and the TE badness times 1000 for eight temperaments with badness less than 0.06. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<18 27 18 1 -22 -34]] || Ennealimmal || 3.610 || 2401/2400 4375/4374 || || 2 || <<3 0 -6 -7 -18 -14]] || Augene || 24.816 || 64/63 126/125 || || 3 || <<7 9 13 -2 1 5]] || Sensi || 25.622 || 126/125 245/243 || || 4 || <<10 9 7 -9 -17 -9]] || Myna || 27.044 || 126/125 1728/1715 || || 5 || <<1 9 -2 12 -6 -30]] || Superpyth || 32.318 || 64/63 245/243 || || 6 || <<8 18 11 10 -5 -25]] || Octacot || 33.845 || 245/243 2401/2400 || || 7 || <<11 18 5 3 -23 -39]] || Quartonic || 42.632 || 1728/1715 4000/3969 || || 8 || <<2 -9 -4 -19 -12 16]] || Beatles || 45.872 || 64/63 686/675 || =11-limit temperaments with badness below 0.05= Listed is the wedgie and the TE badness times 1000 for 29 27e temperaments with badness less than 0.05. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<10 9 7 25 -9 -17 5 -9 27 46]] || Myna || 16.842 || 126/125 176/175 243/242 || || 2 || <<3 0 -6 -6 -7 -18 -20 -14 -14 4]] || Augene || 19.613 || 56/55 64/63 100/99 || || 3 || <<18 27 18 45 1 -22 9 -34 11 64]] || Ennealimnic || 20.347 || 243/242 441/440 4375/4356 || || 4 || <<72 108 72 207 4 -88 79 -136 107 332]] || || 21.320 || 2401/2400 4375/4374 234375/234256 || || 5 || <<8 18 11 20 10 -5 4 -25 -16 18]] || Octacot || 24.078 || 100/99 243/242 245/242 || || 6 || <<1 9 -2 16 12 -6 22 -30 6 52]] || Superpyth || 24.976 || 64/63 100/99 245/243 || || 7 || <<7 9 13 4 -2 1 -18 5 -22 -34]] || Sensis || 28.680 || 56/55 100/99 245/243 || || 8 || <<7 9 13 31 -2 1 25 5 41 42]] || Sensus || 29.486 || 126/125 176/175 245/243 || || 9 || <<2 -9 -4 5 -19 -12 1 16 43 28]] || Ringo || 32.863 || 56/55 64/63 540/539 || || 10 || <<11 18 5 41 3 -23 27 -39 33 98]] || Quartonic || 34.031 || 176/175 540/539 2200/2187 || || 11 || <<9 0 9 9 -21 -11 -17 21 21 -6]] || || 34.861 || 56/55 128/125 540/539 || || 12 || <<4 9 -8 10 5 -24 2 -44 -8 56]] || Modus || 35.149 || 64/63 100/99 243/242 || || 13 || <<54 81 54 162 3 -66 70 -102 96 268]] || || 36.101 || 2401/2400 4375/4374 42592/42525 || || 14 || <<28 36 25 70 -8 -39 14 -43 38 110]] || || 36.785 || 243/242 441/440 78408/78125 || || 15 || <<4 9 19 10 5 19 2 19 -8 -38]] || || 37.551 || 56/55 100/99 243/242 || || 16 || <<6 0 15 15 -14 7 3 35 35 -10]] || || 38.232 || 56/55 128/125 245/243 || || 17 || <<15 27 24 51 8 -4 29 -20 25 60]] || || 38.382 || 245/243 441/440 3388/3375 || || 18 || <<29 45 23 86 4 -45 36 -73 44 162]] || || 38.943 || 540/539 4375/4374 15488/15435 || || 19 || <<5 18 17 26 17 13 24 -11 -2 14]] || || 40.485 || 100/99 245/242 686/675 || || 20 || <<25 36 31 76 -1 -21 34 -29 52 106]] || || 41.568 || 441/440 3388/3375 4375/4374 || || 21 || <<11 18 5 14 3 -23 -16 -39 -30 22]] || || 41.786 || 100/99 245/242 864/847 || || 22 || <<1 9 -2 -11 12 -6 -21 -30 -57 -24]] || || 41.938 || 56/55 64/63 245/243 || || 23 || <<13 9 1 19 -16 -35 -15 -23 13 50]] || || 43.336 || 126/125 176/175 864/847 || || 24 || <<3 0 -6 21 -7 -18 23 -14 49 80]] || || 43.613 || 64/63 126/125 540/539 || || 25 || <<2 -9 -4 -22 -19 -12 -42 16 -20 -48]] || || 45.639 || 64/63 100/99 686/675 || || 26 || <<17 18 20 29 -11 -16 -13 -4 5 12]] || || 45.665 || 126/125 245/242 540/539 || || 27 || <<19 36 16 61 13 -28 31 -64 17 116]] || || 45.895 || 540/539 2200/2187 4375/4356 || || 28 || <<10 9 7 -2 -9 -17 -38 -9 -36 -30]] || || 48.687 || 56/55 100/99 1728/1715 || || 29 || <<14 18 26 35 -4 2 7 10 19 8]] || || 48.714 || 126/125 243/242 245/242 || =13-limit temperaments with badness below 0.04= Listed is the wedgie and the TE badness times 1000 for 61 27e temperaments with badness less than 0.04. || Rank || Wedgie || Name || Badness || Commas || || 1 || <<10 9 7 25 -5 -9 -17 5 -45 -9 27 -45 46 -40 -110]] || Myna || 17.125 || 126/125 144/143 176/175 196/195 || || 2 || <<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]] || Sensis || 20.017 || 56/55 78/77 91/90 100/99 || || 3 || <<18 27 18 45 18 1 -22 9 -38 -34 11 -58 64 -16 -104]] || || 20.697 || 169/168 243/242 325/324 441/440 || || 4 || <<7 9 13 31 10 -2 1 25 -10 5 41 -10 42 -20 -80]] || Sensus || 20.789 || 91/90 126/125 169/168 352/351 || || 5 || <<28 36 25 70 13 -8 -39 14 -83 -43 38 -103 110 -56 -214]] || || 21.694 || 243/242 351/350 441/440 10985/10976 || || 6 || <<2 -9 -4 5 -1 -19 -12 1 -9 16 43 31 28 12 -22]] || || 22.619 || 56/55 64/63 78/77 91/90 || || 7 || <<3 0 -6 -6 12 -7 -18 -20 8 -14 -14 28 4 56 64]] || || 22.890 || 56/55 64/63 91/90 100/99 || || 8 || <<3 0 -6 -6 -15 -7 -18 -20 -35 -14 -14 -35 4 -20 -30]] || || 23.113 || 56/55 64/63 78/77 100/99 || || 9 || <<8 18 11 20 -4 10 -5 4 -36 -25 -16 -76 18 -52 -88]] || || 23.276 || 100/99 144/143 243/242 245/242 || || 10 || <<4 9 -8 10 -2 5 -24 2 -18 -44 -8 -38 56 24 -44]] || || 23.806 || 64/63 78/77 100/99 144/143 || || 11 || <<11 18 5 41 8 3 -23 27 -28 -39 33 -48 98 4 -124]] || || 23.875 || 169/168 176/175 325/324 540/539 || || 12 || <<9 0 9 9 9 -21 -11 -17 -19 21 21 21 -6 -8 -2]] || || 24.143 || 56/55 78/77 91/90 128/125 || || 13 || <<1 9 -2 16 13 12 -6 22 17 -30 6 -3 52 44 -14]] || || 24.673 || 64/63 78/77 91/90 100/99 || || 14 || <<15 27 24 51 6 8 -4 29 -46 -20 25 -86 60 -72 -168]] || || 25.600 || 196/195 245/243 352/351 1001/1000 || || 15 || <<1 9 -2 16 -14 12 -6 22 -26 -30 6 -66 52 -32 -108]] || || 26.750 || 64/63 100/99 144/143 196/195 || || 16 || <<5 18 17 26 11 17 13 24 -1 -11 -2 -41 14 -32 -58]] || || 26.929 || 91/90 100/99 169/168 245/242 || || 17 || <<10 9 7 25 22 -9 -17 5 -2 -9 27 18 46 36 -16]] || || 27.568 || 78/77 91/90 126/125 176/175 || || 18 || <<8 18 11 20 23 10 -5 4 7 -25 -16 -13 18 24 6]] || || 27.601 || 78/77 91/90 100/99 245/242 || || 19 || <<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]] || || 27.692 || 78/77 100/99 144/143 245/242 || || 20 || <<19 36 16 61 4 13 -28 31 -64 -64 17 -124 116 -48 -212]] || || 28.492 || 325/324 352/351 540/539 1575/1573 || || 21 || <<13 9 1 19 7 -16 -35 -15 -37 -23 13 -17 50 16 -46]] || || 28.920 || 78/77 126/125 144/143 176/175 || || 22 || <<6 0 15 15 -3 -14 7 3 -27 35 35 -7 -10 -64 -66]] || || 30.159 || 56/55 91/90 128/125 245/243 || || 23 || <<2 -9 -4 -22 -1 -19 -12 -42 -9 16 -20 31 -48 12 78]] || || 30.161 || 64/63 91/90 100/99 169/168 || || 24 || <<4 9 19 10 -2 5 19 2 -18 19 -8 -38 -38 -76 -44]] || || 31.219 || 56/55 91/90 100/99 352/351 || || 25 || <<17 18 20 29 5 -11 -16 -13 -55 -4 5 -55 12 -60 -90]] || || 31.847 || 126/125 144/143 196/195 245/242 || || 26 || <<14 18 26 35 20 -4 2 7 -20 10 19 -20 8 -40 -60]] || || 33.016 || 91/90 126/125 169/168 245/242 || || 27 || <<43 63 49 121 19 0 -43 43 -129 -63 63 -189 170 -128 -382]] || || 33.431 || 441/440 1001/1000 4225/4224 4375/4374 || || 28 || <<1 9 -2 -11 13 12 -6 -21 17 -30 -57 -3 -24 44 86]] || || 33.840 || 56/55 64/63 91/90 245/243 || || 29 || <<26 45 29 92 14 11 -27 56 -74 -59 58 -134 158 -68 -292]] || || 34.147 || 325/324 352/351 1001/1000 1716/1715 || || 30 || <<4 9 19 10 25 5 19 2 25 19 -8 25 -38 0 50]] || || 34.792 || 56/55 78/77 100/99 243/242 || || 31 || <<21 27 12 66 3 -6 -40 32 -73 -48 60 -93 144 -36 -234]] || || 34.829 || 176/175 351/350 540/539 9295/9261 || || 32 || <<9 27 9 36 9 22 -11 26 -19 -55 -10 -79 70 -8 -102]] || || 34.906 || 100/99 169/168 245/243 352/351 || || 33 || <<3 0 -6 21 -15 -7 -18 23 -35 -14 49 -35 80 -20 -130]] || || 35.433 || 64/63 126/125 144/143 196/195 || || 34 || <<17 18 20 56 5 -11 -16 30 -55 -4 68 -55 88 -60 -190]] || || 35.582 || 126/125 176/175 196/195 13013/12960 || || 35 || <<3 0 -6 21 12 -7 -18 23 8 -14 49 28 80 56 -36]] || || 36.487 || 64/63 78/77 91/90 126/125 || || 36 || <<29 45 23 86 -1 4 -45 36 -109 -73 44 -169 162 -88 -322]] || || 36.611 || 352/351 540/539 1575/1573 4375/4374 || || 37 || <<6 0 15 15 24 -14 7 3 16 35 35 56 -10 12 28]] || || 37.026 || 56/55 78/77 128/125 325/324 || || 38 || <<0 0 0 27 0 0 0 43 0 0 63 0 76 0 -100]] || || 37.047 || 64/63 91/90 126/125 169/168 || || 39 || <<8 18 11 47 -4 10 -5 47 -36 -25 47 -76 94 -52 -188]] || || 37.112 || 176/175 196/195 245/243 512/507 || || 40 || <<6 0 -12 15 -3 -14 -36 3 -27 -28 35 -7 84 36 -66]] || || 37.181 || 64/63 78/77 126/125 144/143 || || 41 || <<1 9 -2 -11 -14 12 -6 -21 -26 -30 -57 -66 -24 -32 -8]] || || 37.212 || 56/55 64/63 78/77 245/243 || || 42 || <<0 0 0 0 27 0 0 0 43 0 0 63 0 76 94]] || || 37.226 || 56/55 64/63 100/99 245/243 || || 43 || <<10 9 7 -2 -5 -9 -17 -38 -45 -9 -36 -45 -30 -40 -10]] || || 37.726 || 56/55 78/77 100/99 640/637 || || 44 || <<20 18 14 50 17 -18 -34 10 -47 -18 54 -27 92 -4 -126]] || || 37.854 || 126/125 169/168 176/175 540/539 || || 45 || <<21 27 12 39 3 -6 -40 -11 -73 -48 -3 -93 68 -36 -134]] || || 38.042 || 144/143 351/350 441/440 975/968 || || 46 || <<25 36 31 76 1 -1 -21 34 -91 -29 52 -131 106 -112 -278]] || || 38.133 || 196/195 352/351 1001/1000 4375/4374 || || 47 || <<36 54 36 117 9 2 -44 61 -119 -68 85 -179 204 -108 -402]] || || 38.278 || 352/351 1001/1000 1716/1715 4375/4374 || || 48 || <<14 18 -1 35 -7 -4 -41 7 -63 -53 19 -83 102 -16 -154]] || || 38.614 || 144/143 176/175 243/242 1040/1029 || || 49 || <<18 27 18 45 -9 1 -22 9 -81 -34 11 -121 64 -92 -198]] || || 38.711 || 144/143 196/195 243/242 4375/4356 || || 50 || <<33 54 42 96 24 9 -26 38 -84 -54 36 -144 124 -88 -272]] || || 39.392 || 325/324 441/440 1001/1000 10985/10976 || || 51 || <<5 -9 -10 -1 -16 -26 -30 -19 -44 2 29 -4 32 -8 -52]] || || 39.705 || 56/55 64/63 78/77 507/500 ||
Original HTML content:
<html><head><title>List of 27edo rank two temperaments by badness</title></head><body>Below are listed rank-two temperaments supported by either the 27edo patent val or the 27e val, that is, the <27 43 63 76 94 100| val, below the indicated cutoff in TE badness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><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 four temperaments with badness less than 0.1.<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><<18 27 1]]<br />
</td>
<td>Ennealimmal<br />
</td>
<td>17.191<br />
</td>
<td>7629394531250/7625597484987<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<3 0 -7]]<br />
</td>
<td>Augmented<br />
</td>
<td>22.315<br />
</td>
<td>128/125<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<7 9 -2]]<br />
</td>
<td>Sensipent<br />
</td>
<td>35.220<br />
</td>
<td>78732/78125<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 9 5]]<br />
</td>
<td>Tetracot<br />
</td>
<td>48.518<br />
</td>
<td>20000/19683<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><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 eight 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><<18 27 18 1 -22 -34]]<br />
</td>
<td>Ennealimmal<br />
</td>
<td>3.610<br />
</td>
<td>2401/2400 4375/4374<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<3 0 -6 -7 -18 -14]]<br />
</td>
<td>Augene<br />
</td>
<td>24.816<br />
</td>
<td>64/63 126/125<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<7 9 13 -2 1 5]]<br />
</td>
<td>Sensi<br />
</td>
<td>25.622<br />
</td>
<td>126/125 245/243<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<10 9 7 -9 -17 -9]]<br />
</td>
<td>Myna<br />
</td>
<td>27.044<br />
</td>
<td>126/125 1728/1715<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><<8 18 11 10 -5 -25]]<br />
</td>
<td>Octacot<br />
</td>
<td>33.845<br />
</td>
<td>245/243 2401/2400<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<11 18 5 3 -23 -39]]<br />
</td>
<td>Quartonic<br />
</td>
<td>42.632<br />
</td>
<td>1728/1715 4000/3969<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<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>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><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 29 27e 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><<10 9 7 25 -9 -17 5 -9 27 46]]<br />
</td>
<td>Myna<br />
</td>
<td>16.842<br />
</td>
<td>126/125 176/175 243/242<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<3 0 -6 -6 -7 -18 -20 -14 -14 4]]<br />
</td>
<td>Augene<br />
</td>
<td>19.613<br />
</td>
<td>56/55 64/63 100/99<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<18 27 18 45 1 -22 9 -34 11 64]]<br />
</td>
<td>Ennealimnic<br />
</td>
<td>20.347<br />
</td>
<td>243/242 441/440 4375/4356<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<72 108 72 207 4 -88 79 -136 107 332]]<br />
</td>
<td><br />
</td>
<td>21.320<br />
</td>
<td>2401/2400 4375/4374 234375/234256<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<8 18 11 20 10 -5 4 -25 -16 18]]<br />
</td>
<td>Octacot<br />
</td>
<td>24.078<br />
</td>
<td>100/99 243/242 245/242<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<1 9 -2 16 12 -6 22 -30 6 52]]<br />
</td>
<td>Superpyth<br />
</td>
<td>24.976<br />
</td>
<td>64/63 100/99 245/243<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 9 13 4 -2 1 -18 5 -22 -34]]<br />
</td>
<td>Sensis<br />
</td>
<td>28.680<br />
</td>
<td>56/55 100/99 245/243<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<7 9 13 31 -2 1 25 5 41 42]]<br />
</td>
<td>Sensus<br />
</td>
<td>29.486<br />
</td>
<td>126/125 176/175 245/243<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<2 -9 -4 5 -19 -12 1 16 43 28]]<br />
</td>
<td>Ringo<br />
</td>
<td>32.863<br />
</td>
<td>56/55 64/63 540/539<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<11 18 5 41 3 -23 27 -39 33 98]]<br />
</td>
<td>Quartonic<br />
</td>
<td>34.031<br />
</td>
<td>176/175 540/539 2200/2187<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<9 0 9 9 -21 -11 -17 21 21 -6]]<br />
</td>
<td><br />
</td>
<td>34.861<br />
</td>
<td>56/55 128/125 540/539<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<4 9 -8 10 5 -24 2 -44 -8 56]]<br />
</td>
<td>Modus<br />
</td>
<td>35.149<br />
</td>
<td>64/63 100/99 243/242<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<54 81 54 162 3 -66 70 -102 96 268]]<br />
</td>
<td><br />
</td>
<td>36.101<br />
</td>
<td>2401/2400 4375/4374 42592/42525<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<28 36 25 70 -8 -39 14 -43 38 110]]<br />
</td>
<td><br />
</td>
<td>36.785<br />
</td>
<td>243/242 441/440 78408/78125<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<4 9 19 10 5 19 2 19 -8 -38]]<br />
</td>
<td><br />
</td>
<td>37.551<br />
</td>
<td>56/55 100/99 243/242<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<6 0 15 15 -14 7 3 35 35 -10]]<br />
</td>
<td><br />
</td>
<td>38.232<br />
</td>
<td>56/55 128/125 245/243<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<15 27 24 51 8 -4 29 -20 25 60]]<br />
</td>
<td><br />
</td>
<td>38.382<br />
</td>
<td>245/243 441/440 3388/3375<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<29 45 23 86 4 -45 36 -73 44 162]]<br />
</td>
<td><br />
</td>
<td>38.943<br />
</td>
<td>540/539 4375/4374 15488/15435<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><<5 18 17 26 17 13 24 -11 -2 14]]<br />
</td>
<td><br />
</td>
<td>40.485<br />
</td>
<td>100/99 245/242 686/675<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><<25 36 31 76 -1 -21 34 -29 52 106]]<br />
</td>
<td><br />
</td>
<td>41.568<br />
</td>
<td>441/440 3388/3375 4375/4374<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><<11 18 5 14 3 -23 -16 -39 -30 22]]<br />
</td>
<td><br />
</td>
<td>41.786<br />
</td>
<td>100/99 245/242 864/847<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><<1 9 -2 -11 12 -6 -21 -30 -57 -24]]<br />
</td>
<td><br />
</td>
<td>41.938<br />
</td>
<td>56/55 64/63 245/243<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td><<13 9 1 19 -16 -35 -15 -23 13 50]]<br />
</td>
<td><br />
</td>
<td>43.336<br />
</td>
<td>126/125 176/175 864/847<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td><<3 0 -6 21 -7 -18 23 -14 49 80]]<br />
</td>
<td><br />
</td>
<td>43.613<br />
</td>
<td>64/63 126/125 540/539<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><<2 -9 -4 -22 -19 -12 -42 16 -20 -48]]<br />
</td>
<td><br />
</td>
<td>45.639<br />
</td>
<td>64/63 100/99 686/675<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><<17 18 20 29 -11 -16 -13 -4 5 12]]<br />
</td>
<td><br />
</td>
<td>45.665<br />
</td>
<td>126/125 245/242 540/539<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><<19 36 16 61 13 -28 31 -64 17 116]]<br />
</td>
<td><br />
</td>
<td>45.895<br />
</td>
<td>540/539 2200/2187 4375/4356<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><<10 9 7 -2 -9 -17 -38 -9 -36 -30]]<br />
</td>
<td><br />
</td>
<td>48.687<br />
</td>
<td>56/55 100/99 1728/1715<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td><<14 18 26 35 -4 2 7 10 19 8]]<br />
</td>
<td><br />
</td>
<td>48.714<br />
</td>
<td>126/125 243/242 245/242<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><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 61 27e 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>
<tr>
<td>1<br />
</td>
<td><<10 9 7 25 -5 -9 -17 5 -45 -9 27 -45 46 -40 -110]]<br />
</td>
<td>Myna<br />
</td>
<td>17.125<br />
</td>
<td>126/125 144/143 176/175 196/195<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]]<br />
</td>
<td>Sensis<br />
</td>
<td>20.017<br />
</td>
<td>56/55 78/77 91/90 100/99<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<18 27 18 45 18 1 -22 9 -38 -34 11 -58 64 -16 -104]]<br />
</td>
<td><br />
</td>
<td>20.697<br />
</td>
<td>169/168 243/242 325/324 441/440<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<7 9 13 31 10 -2 1 25 -10 5 41 -10 42 -20 -80]]<br />
</td>
<td>Sensus<br />
</td>
<td>20.789<br />
</td>
<td>91/90 126/125 169/168 352/351<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<28 36 25 70 13 -8 -39 14 -83 -43 38 -103 110 -56 -214]]<br />
</td>
<td><br />
</td>
<td>21.694<br />
</td>
<td>243/242 351/350 441/440 10985/10976<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<2 -9 -4 5 -1 -19 -12 1 -9 16 43 31 28 12 -22]]<br />
</td>
<td><br />
</td>
<td>22.619<br />
</td>
<td>56/55 64/63 78/77 91/90<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<3 0 -6 -6 12 -7 -18 -20 8 -14 -14 28 4 56 64]]<br />
</td>
<td><br />
</td>
<td>22.890<br />
</td>
<td>56/55 64/63 91/90 100/99<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<3 0 -6 -6 -15 -7 -18 -20 -35 -14 -14 -35 4 -20 -30]]<br />
</td>
<td><br />
</td>
<td>23.113<br />
</td>
<td>56/55 64/63 78/77 100/99<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<8 18 11 20 -4 10 -5 4 -36 -25 -16 -76 18 -52 -88]]<br />
</td>
<td><br />
</td>
<td>23.276<br />
</td>
<td>100/99 144/143 243/242 245/242<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<4 9 -8 10 -2 5 -24 2 -18 -44 -8 -38 56 24 -44]]<br />
</td>
<td><br />
</td>
<td>23.806<br />
</td>
<td>64/63 78/77 100/99 144/143<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<11 18 5 41 8 3 -23 27 -28 -39 33 -48 98 4 -124]]<br />
</td>
<td><br />
</td>
<td>23.875<br />
</td>
<td>169/168 176/175 325/324 540/539<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<9 0 9 9 9 -21 -11 -17 -19 21 21 21 -6 -8 -2]]<br />
</td>
<td><br />
</td>
<td>24.143<br />
</td>
<td>56/55 78/77 91/90 128/125<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td><<1 9 -2 16 13 12 -6 22 17 -30 6 -3 52 44 -14]]<br />
</td>
<td><br />
</td>
<td>24.673<br />
</td>
<td>64/63 78/77 91/90 100/99<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td><<15 27 24 51 6 8 -4 29 -46 -20 25 -86 60 -72 -168]]<br />
</td>
<td><br />
</td>
<td>25.600<br />
</td>
<td>196/195 245/243 352/351 1001/1000<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td><<1 9 -2 16 -14 12 -6 22 -26 -30 6 -66 52 -32 -108]]<br />
</td>
<td><br />
</td>
<td>26.750<br />
</td>
<td>64/63 100/99 144/143 196/195<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td><<5 18 17 26 11 17 13 24 -1 -11 -2 -41 14 -32 -58]]<br />
</td>
<td><br />
</td>
<td>26.929<br />
</td>
<td>91/90 100/99 169/168 245/242<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td><<10 9 7 25 22 -9 -17 5 -2 -9 27 18 46 36 -16]]<br />
</td>
<td><br />
</td>
<td>27.568<br />
</td>
<td>78/77 91/90 126/125 176/175<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td><<8 18 11 20 23 10 -5 4 7 -25 -16 -13 18 24 6]]<br />
</td>
<td><br />
</td>
<td>27.601<br />
</td>
<td>78/77 91/90 100/99 245/242<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td><<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]]<br />
</td>
<td><br />
</td>
<td>27.692<br />
</td>
<td>78/77 100/99 144/143 245/242<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td><<19 36 16 61 4 13 -28 31 -64 -64 17 -124 116 -48 -212]]<br />
</td>
<td><br />
</td>
<td>28.492<br />
</td>
<td>325/324 352/351 540/539 1575/1573<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td><<13 9 1 19 7 -16 -35 -15 -37 -23 13 -17 50 16 -46]]<br />
</td>
<td><br />
</td>
<td>28.920<br />
</td>
<td>78/77 126/125 144/143 176/175<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td><<6 0 15 15 -3 -14 7 3 -27 35 35 -7 -10 -64 -66]]<br />
</td>
<td><br />
</td>
<td>30.159<br />
</td>
<td>56/55 91/90 128/125 245/243<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td><<2 -9 -4 -22 -1 -19 -12 -42 -9 16 -20 31 -48 12 78]]<br />
</td>
<td><br />
</td>
<td>30.161<br />
</td>
<td>64/63 91/90 100/99 169/168<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td><<4 9 19 10 -2 5 19 2 -18 19 -8 -38 -38 -76 -44]]<br />
</td>
<td><br />
</td>
<td>31.219<br />
</td>
<td>56/55 91/90 100/99 352/351<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td><<17 18 20 29 5 -11 -16 -13 -55 -4 5 -55 12 -60 -90]]<br />
</td>
<td><br />
</td>
<td>31.847<br />
</td>
<td>126/125 144/143 196/195 245/242<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td><<14 18 26 35 20 -4 2 7 -20 10 19 -20 8 -40 -60]]<br />
</td>
<td><br />
</td>
<td>33.016<br />
</td>
<td>91/90 126/125 169/168 245/242<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td><<43 63 49 121 19 0 -43 43 -129 -63 63 -189 170 -128 -382]]<br />
</td>
<td><br />
</td>
<td>33.431<br />
</td>
<td>441/440 1001/1000 4225/4224 4375/4374<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td><<1 9 -2 -11 13 12 -6 -21 17 -30 -57 -3 -24 44 86]]<br />
</td>
<td><br />
</td>
<td>33.840<br />
</td>
<td>56/55 64/63 91/90 245/243<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td><<26 45 29 92 14 11 -27 56 -74 -59 58 -134 158 -68 -292]]<br />
</td>
<td><br />
</td>
<td>34.147<br />
</td>
<td>325/324 352/351 1001/1000 1716/1715<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td><<4 9 19 10 25 5 19 2 25 19 -8 25 -38 0 50]]<br />
</td>
<td><br />
</td>
<td>34.792<br />
</td>
<td>56/55 78/77 100/99 243/242<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td><<21 27 12 66 3 -6 -40 32 -73 -48 60 -93 144 -36 -234]]<br />
</td>
<td><br />
</td>
<td>34.829<br />
</td>
<td>176/175 351/350 540/539 9295/9261<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td><<9 27 9 36 9 22 -11 26 -19 -55 -10 -79 70 -8 -102]]<br />
</td>
<td><br />
</td>
<td>34.906<br />
</td>
<td>100/99 169/168 245/243 352/351<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td><<3 0 -6 21 -15 -7 -18 23 -35 -14 49 -35 80 -20 -130]]<br />
</td>
<td><br />
</td>
<td>35.433<br />
</td>
<td>64/63 126/125 144/143 196/195<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td><<17 18 20 56 5 -11 -16 30 -55 -4 68 -55 88 -60 -190]]<br />
</td>
<td><br />
</td>
<td>35.582<br />
</td>
<td>126/125 176/175 196/195 13013/12960<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td><<3 0 -6 21 12 -7 -18 23 8 -14 49 28 80 56 -36]]<br />
</td>
<td><br />
</td>
<td>36.487<br />
</td>
<td>64/63 78/77 91/90 126/125<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td><<29 45 23 86 -1 4 -45 36 -109 -73 44 -169 162 -88 -322]]<br />
</td>
<td><br />
</td>
<td>36.611<br />
</td>
<td>352/351 540/539 1575/1573 4375/4374<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td><<6 0 15 15 24 -14 7 3 16 35 35 56 -10 12 28]]<br />
</td>
<td><br />
</td>
<td>37.026<br />
</td>
<td>56/55 78/77 128/125 325/324<br />
</td>
</tr>
<tr>
<td>38<br />
</td>
<td><<0 0 0 27 0 0 0 43 0 0 63 0 76 0 -100]]<br />
</td>
<td><br />
</td>
<td>37.047<br />
</td>
<td>64/63 91/90 126/125 169/168<br />
</td>
</tr>
<tr>
<td>39<br />
</td>
<td><<8 18 11 47 -4 10 -5 47 -36 -25 47 -76 94 -52 -188]]<br />
</td>
<td><br />
</td>
<td>37.112<br />
</td>
<td>176/175 196/195 245/243 512/507<br />
</td>
</tr>
<tr>
<td>40<br />
</td>
<td><<6 0 -12 15 -3 -14 -36 3 -27 -28 35 -7 84 36 -66]]<br />
</td>
<td><br />
</td>
<td>37.181<br />
</td>
<td>64/63 78/77 126/125 144/143<br />
</td>
</tr>
<tr>
<td>41<br />
</td>
<td><<1 9 -2 -11 -14 12 -6 -21 -26 -30 -57 -66 -24 -32 -8]]<br />
</td>
<td><br />
</td>
<td>37.212<br />
</td>
<td>56/55 64/63 78/77 245/243<br />
</td>
</tr>
<tr>
<td>42<br />
</td>
<td><<0 0 0 0 27 0 0 0 43 0 0 63 0 76 94]]<br />
</td>
<td><br />
</td>
<td>37.226<br />
</td>
<td>56/55 64/63 100/99 245/243<br />
</td>
</tr>
<tr>
<td>43<br />
</td>
<td><<10 9 7 -2 -5 -9 -17 -38 -45 -9 -36 -45 -30 -40 -10]]<br />
</td>
<td><br />
</td>
<td>37.726<br />
</td>
<td>56/55 78/77 100/99 640/637<br />
</td>
</tr>
<tr>
<td>44<br />
</td>
<td><<20 18 14 50 17 -18 -34 10 -47 -18 54 -27 92 -4 -126]]<br />
</td>
<td><br />
</td>
<td>37.854<br />
</td>
<td>126/125 169/168 176/175 540/539<br />
</td>
</tr>
<tr>
<td>45<br />
</td>
<td><<21 27 12 39 3 -6 -40 -11 -73 -48 -3 -93 68 -36 -134]]<br />
</td>
<td><br />
</td>
<td>38.042<br />
</td>
<td>144/143 351/350 441/440 975/968<br />
</td>
</tr>
<tr>
<td>46<br />
</td>
<td><<25 36 31 76 1 -1 -21 34 -91 -29 52 -131 106 -112 -278]]<br />
</td>
<td><br />
</td>
<td>38.133<br />
</td>
<td>196/195 352/351 1001/1000 4375/4374<br />
</td>
</tr>
<tr>
<td>47<br />
</td>
<td><<36 54 36 117 9 2 -44 61 -119 -68 85 -179 204 -108 -402]]<br />
</td>
<td><br />
</td>
<td>38.278<br />
</td>
<td>352/351 1001/1000 1716/1715 4375/4374<br />
</td>
</tr>
<tr>
<td>48<br />
</td>
<td><<14 18 -1 35 -7 -4 -41 7 -63 -53 19 -83 102 -16 -154]]<br />
</td>
<td><br />
</td>
<td>38.614<br />
</td>
<td>144/143 176/175 243/242 1040/1029<br />
</td>
</tr>
<tr>
<td>49<br />
</td>
<td><<18 27 18 45 -9 1 -22 9 -81 -34 11 -121 64 -92 -198]]<br />
</td>
<td><br />
</td>
<td>38.711<br />
</td>
<td>144/143 196/195 243/242 4375/4356<br />
</td>
</tr>
<tr>
<td>50<br />
</td>
<td><<33 54 42 96 24 9 -26 38 -84 -54 36 -144 124 -88 -272]]<br />
</td>
<td><br />
</td>
<td>39.392<br />
</td>
<td>325/324 441/440 1001/1000 10985/10976<br />
</td>
</tr>
<tr>
<td>51<br />
</td>
<td><<5 -9 -10 -1 -16 -26 -30 -19 -44 2 29 -4 32 -8 -52]]<br />
</td>
<td><br />
</td>
<td>39.705<br />
</td>
<td>56/55 64/63 78/77 507/500<br />
</td>
</tr>
</table>
</body></html>