List of edo-distinct 26et rank two temperaments
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The [[temperament|temperaments]] listed are 26edo-distinct, meaning that they are all different even if tuned in [[26edo]]. The ordering is by increasing complexity of 3. The temperament of lowest [[TE complexity]] was chosen as the representative for each class of edo-distinctness. =5-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 26, 11 || <<1 4 4]] || Meantone || 1.231 || 81/80 || || 13, 2 || <<2 -18 -33]] || Phillips || 6.882 || 9685512225/8589934592 || || 26, 5 || <<3 -14 -29]] || Archaeotherium || 5.832 || 597871125/536870912 || || 13, 1 || <<4 -10 -25]] || Elvis || 4.867 || 36905625/33554432 || || 26, 3 || <<5 -6 -21]] || Secund || 4.049 || 2278125/2097152 || || 13, 5 || <<6 -2 -17]] || Lemba || 3.484 || 140625/131072 || || 26, 9 || <<7 2 -13]] || Wesley || 3.303 || 78125/73728 || || 13, 6 || <<8 6 -9]] || Doublewide || 3.565 || 390625/373248 || || 26, 7 || <<9 10 -5]] || Shibboleth || 4.189 || 1953125/1889568 || || 13, 3 || <<10 14 -1]] || Fifive || 5.041 || 9765625/9565938 || || 26, 1 || <<11 18 3]] || Quartonic || 6.026 || 390625000/387420489 || || 13, 4 || <<12 22 7]] || Unidec || 7.088 || 31381059609/31250000000 || || 2, 1 || <<13 0 -30]] || Triskaidekic || 6.676 || 1220703125/1073741824 || =7-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 26, 11 || <<1 4 -9 4 -17 -32]] || Flattone || 2.987 || 81/80 525/512 || || 13, 2 || <<2 8 8 8 7 -4]] || Injera || 2.205 || 50/49 81/80 || || 26, 5 || <<3 12 -1 12 -10 -36]] || Mothra || 3.573 || 81/80 1029/1024 || || 13, 1 || <<4 -10 -10 -25 -27 5]] || Elvis || 4.494 || 50/49 8505/8192 || || 26, 3 || <<5 -6 7 -21 -3 33]] || Secund || 3.685 || 405/392 525/512 || || 13, 5 || <<6 -2 -2 -17 -20 1]] || Lemba || 3.086 || 50/49 525/512 || || 26, 9 || <<7 2 15 -13 4 29]] || Wesley || 3.694 || 405/392 875/864 || || 13, 6 || <<8 6 6 -9 -13 -3]] || Doublewide || 2.928 || 50/49 875/864 || || 26, 7 || <<9 10 -3 -5 -30 -35]] || Superkleismic || 4.620 || 875/864 1029/1024 || || 13, 3 || <<10 14 14 -1 -6 -7]] || Crepuscular || 4.165 || 50/49 4375/4374 || || 26, 1 || <<11 18 5 3 -23 -39]] || Quartonic || 5.395 || 1728/1715 4000/3969 || || 13, 4 || <<14 4 4 -26 -33 -2]] || Dubbla || 5.598 || 50/49 78125/73728 || || 2, 1 || <<13 0 13 -30 -16 30]] || Triskaidekic || 5.617 || 1728/1715 1875/1792 || =11-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 26, 11 || <<1 4 -9 6 4 -17 6 -32 0 48]] || Flattone || 2.866 || 45/44 81/80 385/384 || || 13, 2 || <<2 8 8 12 8 7 12 -4 0 6]] || Injera || 2.153 || 45/44 50/49 99/98 || || 26, 5 || <<3 12 -1 18 12 -10 18 -36 0 54]] || Cynder || 3.813 || 45/44 81/80 1029/1024 || || 13, 1 || <<4 -10 -10 -2 -25 -27 -17 5 30 29]] || Elvis || 3.924 || 45/44 50/49 1344/1331 || || 26, 3 || <<5 -6 7 4 -21 -3 -11 33 30 -13]] || Secund || 3.203 || 45/44 99/98 385/384 || || 13, 5 || <<6 -2 -2 10 -17 -20 -5 1 30 35]] || Lemba || 3.054 || 45/44 50/49 385/384 || || 26, 9 || <<7 2 15 16 -13 4 1 29 30 -7]] || Wesley || 3.432 || 45/44 99/98 875/864 || || 13, 6 || <<8 6 6 -4 -9 -13 -34 -3 -30 -32]] || Doublewide || 3.407 || 50/49 99/98 875/864 || || 26, 7 || <<9 10 -3 2 -5 -30 -28 -35 -30 16]] || Superkleismic || 4.137 || 100/99 245/242 385/384 || || 13, 3 || <<10 14 14 8 -1 -6 -22 -7 -30 -26]] || Crepuscular || 3.829 || 50/49 99/98 1944/1925 || || 26, 1 || <<11 18 5 14 3 -23 -16 -39 -30 22]] || Quarto || 4.675 || 100/99 245/242 864/847 || || 13, 4 || <<14 4 4 6 -26 -33 -39 -2 0 3]] || Dubbla || 4.917 || 50/49 125/121 1344/1331 || || 2, 1 || <<13 0 13 0 -30 -16 -45 30 0 -45]] || Triskaidekic || 5.274 || 99/98 125/121 385/384 || =13-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 26, 11 || <<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]] || Flattone || 2.664 || 45/44 65/64 78/77 81/80 || || 13, 2 || <<2 8 8 12 18 8 7 12 21 -4 0 12 6 21 18]] || Injera || 2.461 || 45/44 50/49 78/77 99/98 || || 26, 5 || <<3 12 -1 18 14 12 -10 18 11 -36 0 -12 54 43 -18]] || Cynder || 3.505 || 45/44 78/77 81/80 640/637 || || 13, 1 || <<4 -10 -10 -2 -16 -25 -27 -17 -40 5 30 0 29 -8 -48]] || Elvis || 3.948 || 45/44 50/49 78/77 1053/1024 || || 26, 3 || <<5 -6 7 4 6 -21 -3 -11 -9 33 30 36 -13 -9 6]] || Secundly || 2.899 || 45/44 65/64 78/77 99/98 || || 13, 5 || <<6 -2 -2 10 2 -17 -20 -5 -19 1 30 12 35 13 -30]] || Lemba || 2.745 || 45/44 50/49 65/64 78/77 || || 26, 9 || <<7 2 15 16 24 -13 4 1 12 29 30 48 -7 12 24]] || Wesley || 3.652 || 45/44 78/77 99/98 325/324 || || 13, 6 || <<8 6 6 22 20 -9 -13 7 2 -3 30 24 41 34 -12]] || Cavalier || 3.406 || 45/44 50/49 78/77 325/324 || || 26, 7 || <<9 10 -3 2 16 -5 -30 -28 -8 -35 -30 0 16 56 48]] || Superkleismic || 3.957 || 100/99 105/104 245/242 1188/1183 || || 13, 3 || <<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]] || Crepuscular || 3.447 || 50/49 78/77 99/98 144/143 || || 26, 1 || <<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]] || Quarto || 4.328 || 78/77 100/99 144/143 245/242 || || 13, 4 || <<14 4 4 6 22 -26 -33 -39 -17 -2 0 36 3 47 54]] || Dubbla || 4.770 || 50/49 105/104 125/121 144/143 || || 2, 1 || <<13 0 13 0 0 -30 -16 -45 -48 30 0 0 -45 -48 0]] || Triskaidekic || 4.943 || 78/77 99/98 125/121 1200/1183 ||
Original HTML content:
<html><head><title>List of edo-distinct 26et rank two temperaments</title></head><body>The <a class="wiki_link" href="/temperament">temperaments</a> listed are 26edo-distinct, meaning that they are all different even if tuned in <a class="wiki_link" href="/26edo">26edo</a>. The ordering is by increasing complexity of 3. The temperament of lowest <a class="wiki_link" href="/TE%20complexity">TE complexity</a> was chosen as the representative for each class of edo-distinctness.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x5-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit temperaments</h1>
<table class="wiki_table">
<tr>
<td>Period,<br />
generator<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>26, 11<br />
</td>
<td><<1 4 4]]<br />
</td>
<td>Meantone<br />
</td>
<td>1.231<br />
</td>
<td>81/80<br />
</td>
</tr>
<tr>
<td>13, 2<br />
</td>
<td><<2 -18 -33]]<br />
</td>
<td>Phillips<br />
</td>
<td>6.882<br />
</td>
<td>9685512225/8589934592<br />
</td>
</tr>
<tr>
<td>26, 5<br />
</td>
<td><<3 -14 -29]]<br />
</td>
<td>Archaeotherium<br />
</td>
<td>5.832<br />
</td>
<td>597871125/536870912<br />
</td>
</tr>
<tr>
<td>13, 1<br />
</td>
<td><<4 -10 -25]]<br />
</td>
<td>Elvis<br />
</td>
<td>4.867<br />
</td>
<td>36905625/33554432<br />
</td>
</tr>
<tr>
<td>26, 3<br />
</td>
<td><<5 -6 -21]]<br />
</td>
<td>Secund<br />
</td>
<td>4.049<br />
</td>
<td>2278125/2097152<br />
</td>
</tr>
<tr>
<td>13, 5<br />
</td>
<td><<6 -2 -17]]<br />
</td>
<td>Lemba<br />
</td>
<td>3.484<br />
</td>
<td>140625/131072<br />
</td>
</tr>
<tr>
<td>26, 9<br />
</td>
<td><<7 2 -13]]<br />
</td>
<td>Wesley<br />
</td>
<td>3.303<br />
</td>
<td>78125/73728<br />
</td>
</tr>
<tr>
<td>13, 6<br />
</td>
<td><<8 6 -9]]<br />
</td>
<td>Doublewide<br />
</td>
<td>3.565<br />
</td>
<td>390625/373248<br />
</td>
</tr>
<tr>
<td>26, 7<br />
</td>
<td><<9 10 -5]]<br />
</td>
<td>Shibboleth<br />
</td>
<td>4.189<br />
</td>
<td>1953125/1889568<br />
</td>
</tr>
<tr>
<td>13, 3<br />
</td>
<td><<10 14 -1]]<br />
</td>
<td>Fifive<br />
</td>
<td>5.041<br />
</td>
<td>9765625/9565938<br />
</td>
</tr>
<tr>
<td>26, 1<br />
</td>
<td><<11 18 3]]<br />
</td>
<td>Quartonic<br />
</td>
<td>6.026<br />
</td>
<td>390625000/387420489<br />
</td>
</tr>
<tr>
<td>13, 4<br />
</td>
<td><<12 22 7]]<br />
</td>
<td>Unidec<br />
</td>
<td>7.088<br />
</td>
<td>31381059609/31250000000<br />
</td>
</tr>
<tr>
<td>2, 1<br />
</td>
<td><<13 0 -30]]<br />
</td>
<td>Triskaidekic<br />
</td>
<td>6.676<br />
</td>
<td>1220703125/1073741824<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x7-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->7-limit temperaments</h1>
<table class="wiki_table">
<tr>
<td>Period,<br />
generator<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>26, 11<br />
</td>
<td><<1 4 -9 4 -17 -32]]<br />
</td>
<td>Flattone<br />
</td>
<td>2.987<br />
</td>
<td>81/80 525/512<br />
</td>
</tr>
<tr>
<td>13, 2<br />
</td>
<td><<2 8 8 8 7 -4]]<br />
</td>
<td>Injera<br />
</td>
<td>2.205<br />
</td>
<td>50/49 81/80<br />
</td>
</tr>
<tr>
<td>26, 5<br />
</td>
<td><<3 12 -1 12 -10 -36]]<br />
</td>
<td>Mothra<br />
</td>
<td>3.573<br />
</td>
<td>81/80 1029/1024<br />
</td>
</tr>
<tr>
<td>13, 1<br />
</td>
<td><<4 -10 -10 -25 -27 5]]<br />
</td>
<td>Elvis<br />
</td>
<td>4.494<br />
</td>
<td>50/49 8505/8192<br />
</td>
</tr>
<tr>
<td>26, 3<br />
</td>
<td><<5 -6 7 -21 -3 33]]<br />
</td>
<td>Secund<br />
</td>
<td>3.685<br />
</td>
<td>405/392 525/512<br />
</td>
</tr>
<tr>
<td>13, 5<br />
</td>
<td><<6 -2 -2 -17 -20 1]]<br />
</td>
<td>Lemba<br />
</td>
<td>3.086<br />
</td>
<td>50/49 525/512<br />
</td>
</tr>
<tr>
<td>26, 9<br />
</td>
<td><<7 2 15 -13 4 29]]<br />
</td>
<td>Wesley<br />
</td>
<td>3.694<br />
</td>
<td>405/392 875/864<br />
</td>
</tr>
<tr>
<td>13, 6<br />
</td>
<td><<8 6 6 -9 -13 -3]]<br />
</td>
<td>Doublewide<br />
</td>
<td>2.928<br />
</td>
<td>50/49 875/864<br />
</td>
</tr>
<tr>
<td>26, 7<br />
</td>
<td><<9 10 -3 -5 -30 -35]]<br />
</td>
<td>Superkleismic<br />
</td>
<td>4.620<br />
</td>
<td>875/864 1029/1024<br />
</td>
</tr>
<tr>
<td>13, 3<br />
</td>
<td><<10 14 14 -1 -6 -7]]<br />
</td>
<td>Crepuscular<br />
</td>
<td>4.165<br />
</td>
<td>50/49 4375/4374<br />
</td>
</tr>
<tr>
<td>26, 1<br />
</td>
<td><<11 18 5 3 -23 -39]]<br />
</td>
<td>Quartonic<br />
</td>
<td>5.395<br />
</td>
<td>1728/1715 4000/3969<br />
</td>
</tr>
<tr>
<td>13, 4<br />
</td>
<td><<14 4 4 -26 -33 -2]]<br />
</td>
<td>Dubbla<br />
</td>
<td>5.598<br />
</td>
<td>50/49 78125/73728<br />
</td>
</tr>
<tr>
<td>2, 1<br />
</td>
<td><<13 0 13 -30 -16 30]]<br />
</td>
<td>Triskaidekic<br />
</td>
<td>5.617<br />
</td>
<td>1728/1715 1875/1792<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit temperaments</h1>
<table class="wiki_table">
<tr>
<td>Period,<br />
generator<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>26, 11<br />
</td>
<td><<1 4 -9 6 4 -17 6 -32 0 48]]<br />
</td>
<td>Flattone<br />
</td>
<td>2.866<br />
</td>
<td>45/44 81/80 385/384<br />
</td>
</tr>
<tr>
<td>13, 2<br />
</td>
<td><<2 8 8 12 8 7 12 -4 0 6]]<br />
</td>
<td>Injera<br />
</td>
<td>2.153<br />
</td>
<td>45/44 50/49 99/98<br />
</td>
</tr>
<tr>
<td>26, 5<br />
</td>
<td><<3 12 -1 18 12 -10 18 -36 0 54]]<br />
</td>
<td>Cynder<br />
</td>
<td>3.813<br />
</td>
<td>45/44 81/80 1029/1024<br />
</td>
</tr>
<tr>
<td>13, 1<br />
</td>
<td><<4 -10 -10 -2 -25 -27 -17 5 30 29]]<br />
</td>
<td>Elvis<br />
</td>
<td>3.924<br />
</td>
<td>45/44 50/49 1344/1331<br />
</td>
</tr>
<tr>
<td>26, 3<br />
</td>
<td><<5 -6 7 4 -21 -3 -11 33 30 -13]]<br />
</td>
<td>Secund<br />
</td>
<td>3.203<br />
</td>
<td>45/44 99/98 385/384<br />
</td>
</tr>
<tr>
<td>13, 5<br />
</td>
<td><<6 -2 -2 10 -17 -20 -5 1 30 35]]<br />
</td>
<td>Lemba<br />
</td>
<td>3.054<br />
</td>
<td>45/44 50/49 385/384<br />
</td>
</tr>
<tr>
<td>26, 9<br />
</td>
<td><<7 2 15 16 -13 4 1 29 30 -7]]<br />
</td>
<td>Wesley<br />
</td>
<td>3.432<br />
</td>
<td>45/44 99/98 875/864<br />
</td>
</tr>
<tr>
<td>13, 6<br />
</td>
<td><<8 6 6 -4 -9 -13 -34 -3 -30 -32]]<br />
</td>
<td>Doublewide<br />
</td>
<td>3.407<br />
</td>
<td>50/49 99/98 875/864<br />
</td>
</tr>
<tr>
<td>26, 7<br />
</td>
<td><<9 10 -3 2 -5 -30 -28 -35 -30 16]]<br />
</td>
<td>Superkleismic<br />
</td>
<td>4.137<br />
</td>
<td>100/99 245/242 385/384<br />
</td>
</tr>
<tr>
<td>13, 3<br />
</td>
<td><<10 14 14 8 -1 -6 -22 -7 -30 -26]]<br />
</td>
<td>Crepuscular<br />
</td>
<td>3.829<br />
</td>
<td>50/49 99/98 1944/1925<br />
</td>
</tr>
<tr>
<td>26, 1<br />
</td>
<td><<11 18 5 14 3 -23 -16 -39 -30 22]]<br />
</td>
<td>Quarto<br />
</td>
<td>4.675<br />
</td>
<td>100/99 245/242 864/847<br />
</td>
</tr>
<tr>
<td>13, 4<br />
</td>
<td><<14 4 4 6 -26 -33 -39 -2 0 3]]<br />
</td>
<td>Dubbla<br />
</td>
<td>4.917<br />
</td>
<td>50/49 125/121 1344/1331<br />
</td>
</tr>
<tr>
<td>2, 1<br />
</td>
<td><<13 0 13 0 -30 -16 -45 30 0 -45]]<br />
</td>
<td>Triskaidekic<br />
</td>
<td>5.274<br />
</td>
<td>99/98 125/121 385/384<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="x13-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit temperaments</h1>
<table class="wiki_table">
<tr>
<td>Period,<br />
generator<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>26, 11<br />
</td>
<td><<1 4 -9 6 -4 4 -17 6 -10 -32 0 -24 48 22 -36]]<br />
</td>
<td>Flattone<br />
</td>
<td>2.664<br />
</td>
<td>45/44 65/64 78/77 81/80<br />
</td>
</tr>
<tr>
<td>13, 2<br />
</td>
<td><<2 8 8 12 18 8 7 12 21 -4 0 12 6 21 18]]<br />
</td>
<td>Injera<br />
</td>
<td>2.461<br />
</td>
<td>45/44 50/49 78/77 99/98<br />
</td>
</tr>
<tr>
<td>26, 5<br />
</td>
<td><<3 12 -1 18 14 12 -10 18 11 -36 0 -12 54 43 -18]]<br />
</td>
<td>Cynder<br />
</td>
<td>3.505<br />
</td>
<td>45/44 78/77 81/80 640/637<br />
</td>
</tr>
<tr>
<td>13, 1<br />
</td>
<td><<4 -10 -10 -2 -16 -25 -27 -17 -40 5 30 0 29 -8 -48]]<br />
</td>
<td>Elvis<br />
</td>
<td>3.948<br />
</td>
<td>45/44 50/49 78/77 1053/1024<br />
</td>
</tr>
<tr>
<td>26, 3<br />
</td>
<td><<5 -6 7 4 6 -21 -3 -11 -9 33 30 36 -13 -9 6]]<br />
</td>
<td>Secundly<br />
</td>
<td>2.899<br />
</td>
<td>45/44 65/64 78/77 99/98<br />
</td>
</tr>
<tr>
<td>13, 5<br />
</td>
<td><<6 -2 -2 10 2 -17 -20 -5 -19 1 30 12 35 13 -30]]<br />
</td>
<td>Lemba<br />
</td>
<td>2.745<br />
</td>
<td>45/44 50/49 65/64 78/77<br />
</td>
</tr>
<tr>
<td>26, 9<br />
</td>
<td><<7 2 15 16 24 -13 4 1 12 29 30 48 -7 12 24]]<br />
</td>
<td>Wesley<br />
</td>
<td>3.652<br />
</td>
<td>45/44 78/77 99/98 325/324<br />
</td>
</tr>
<tr>
<td>13, 6<br />
</td>
<td><<8 6 6 22 20 -9 -13 7 2 -3 30 24 41 34 -12]]<br />
</td>
<td>Cavalier<br />
</td>
<td>3.406<br />
</td>
<td>45/44 50/49 78/77 325/324<br />
</td>
</tr>
<tr>
<td>26, 7<br />
</td>
<td><<9 10 -3 2 16 -5 -30 -28 -8 -35 -30 0 16 56 48]]<br />
</td>
<td>Superkleismic<br />
</td>
<td>3.957<br />
</td>
<td>100/99 105/104 245/242 1188/1183<br />
</td>
</tr>
<tr>
<td>13, 3<br />
</td>
<td><<10 14 14 8 12 -1 -6 -22 -18 -7 -30 -24 -26 -18 12]]<br />
</td>
<td>Crepuscular<br />
</td>
<td>3.447<br />
</td>
<td>50/49 78/77 99/98 144/143<br />
</td>
</tr>
<tr>
<td>26, 1<br />
</td>
<td><<11 18 5 14 8 3 -23 -16 -28 -39 -30 -48 22 4 -24]]<br />
</td>
<td>Quarto<br />
</td>
<td>4.328<br />
</td>
<td>78/77 100/99 144/143 245/242<br />
</td>
</tr>
<tr>
<td>13, 4<br />
</td>
<td><<14 4 4 6 22 -26 -33 -39 -17 -2 0 36 3 47 54]]<br />
</td>
<td>Dubbla<br />
</td>
<td>4.770<br />
</td>
<td>50/49 105/104 125/121 144/143<br />
</td>
</tr>
<tr>
<td>2, 1<br />
</td>
<td><<13 0 13 0 0 -30 -16 -45 -48 30 0 0 -45 -48 0]]<br />
</td>
<td>Triskaidekic<br />
</td>
<td>4.943<br />
</td>
<td>78/77 99/98 125/121 1200/1183<br />
</td>
</tr>
</table>
</body></html>