List of edo-distinct 17c rank two temperaments
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Original Wikitext content:
The temperaments listed are 17edo-distinct, meaning that they are all different even if tuned in 17edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 17c val (<17 27 40 48 59 63|) was chosen as the representative for each class of edo-distinctness. =5-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<1 4 4]] || Meantone || 1.231 || 81/80 || || 2 || <<2 -9 -19]] || Beatles || 3.798 || 524288/492075 || || 3 || <<3 -5 -15]] || Progress || 2.877 || 32768/30375 || || 4 || <<4 -1 -11]] || Smate || 2.272 || 2048/1875 || || 5 || <<5 3 -7]] || Progression || 2.254 || 3456/3125 || || 6 || <<6 7 -3]] || Subklei || 2.833 || 17496/15625 || || 7 || <<7 11 1]] || Slurpee || 3.743 || 177147/156250 || || 8 || <<9 2 -18]] || Genocchi || 4.355 || 2359296/1953125 || =7-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<1 4 -2 4 -6 -16]] || Dominant || 1.466 || 36/35 64/63 || || 2 || <<2 8 13 8 15 8]] || Mohamaq || 2.958 || 81/80 392/375 || || 3 || <<3 -5 -6 -15 -18 0]] || Progress || 2.762 || 64/63 392/375 || || 4 || <<4 -1 9 -11 3 24]] || Smate || 2.575 || 36/35 2048/1875 || || 5 || <<5 3 7 -7 -3 8]] || Progression || 1.976 || 36/35 392/375 || || 6 || <<6 7 5 -3 -9 -8]] || Subklei || 2.340 || 36/35 1029/1000 || || 7 || <<7 11 3 1 -15 -24]] || Slurpee || 3.369 || 36/35 51200/50421 || || 8 || <<8 -2 1 -22 -21 8]] || Hemismate || 3.783 || 256/245 392/375 || =11-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<1 4 -2 -6 4 -6 -13 -16 -28 -10]] || Dominant || 1.864 || 36/35 56/55 64/63 || || 2 || <<2 8 -4 5 8 -12 1 -32 -16 28]] || Maqamic || 2.569 || 36/35 64/63 121/120 || || 3 || <<3 -5 -6 -1 -15 -18 -12 0 15 18]] || Progress || 2.399 || 56/55 64/63 77/75 || || 4 || <<4 -1 9 10 -11 3 2 24 27 -3]] || Smate || 2.443 || 36/35 56/55 243/242 || || 5 || <<5 3 7 4 -7 -3 -11 8 -1 -13]] || Progression || 1.749 || 36/35 56/55 77/75 || || 6 || <<6 7 5 15 -3 -9 3 -8 11 25]] || Subklei || 2.459 || 36/35 77/75 352/343 || || 7 || <<7 11 3 9 1 -15 -10 -24 -17 15]] || Slurpee || 2.916 || 36/35 121/120 352/343 || || 8 || <<8 -2 1 3 -22 -21 -23 8 14 5]] || Hemismate || 3.279 || 56/55 77/75 256/245 || =13-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<1 4 -2 11 8 4 -6 14 9 -16 12 4 38 30 -13]] || Domination || 2.061 || 26/25 36/35 64/63 66/65 || || 2 || <<2 8 -4 5 -1 8 -12 1 -9 -32 -16 -32 28 12 -22]] || Maqamic || 2.402 || 36/35 64/63 66/65 121/120 || || 3 || <<3 -5 -6 -1 -10 -15 -18 -12 -27 0 15 -5 18 -6 -31]] || Progressive || 2.485 || 26/25 56/55 64/63 77/75 || || 4 || <<4 -1 9 10 -2 -11 3 2 -18 24 27 -1 -3 -39 -44]] || Smate || 2.520 || 26/25 36/35 56/55 243/242 || || 5 || <<5 3 7 4 6 -7 -3 -11 -9 8 -1 3 -13 -9 6]] || Progression || 1.563 || 26/25 36/35 56/55 66/65 || || 6 || <<6 7 5 15 14 -3 -9 3 0 -8 11 7 25 21 -7]] || Subklei || 2.307 || 26/25 36/35 66/65 352/343 || || 7 || <<7 11 3 9 5 1 -15 -10 -18 -24 -17 -29 15 3 -16]] || Slurpee || 2.700 || 36/35 66/65 143/140 352/343 || || 8 || <<8 -2 1 3 -4 -22 -21 -23 -36 8 14 -2 5 -15 -25]] || Hemismate || 3.187 || 26/25 56/55 77/75 256/245 ||
Original HTML content:
<html><head><title>List of edo-distinct 17c rank two temperaments</title></head><body>The temperaments listed are 17edo-distinct, meaning that they are all different even if tuned in 17edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 17c val (<17 27 40 48 59 63|) 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>Number<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<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>2<br />
</td>
<td><<2 -9 -19]]<br />
</td>
<td>Beatles<br />
</td>
<td>3.798<br />
</td>
<td>524288/492075<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 -5 -15]]<br />
</td>
<td>Progress<br />
</td>
<td>2.877<br />
</td>
<td>32768/30375<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 -1 -11]]<br />
</td>
<td>Smate<br />
</td>
<td>2.272<br />
</td>
<td>2048/1875<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 3 -7]]<br />
</td>
<td>Progression<br />
</td>
<td>2.254<br />
</td>
<td>3456/3125<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 7 -3]]<br />
</td>
<td>Subklei<br />
</td>
<td>2.833<br />
</td>
<td>17496/15625<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 11 1]]<br />
</td>
<td>Slurpee<br />
</td>
<td>3.743<br />
</td>
<td>177147/156250<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<9 2 -18]]<br />
</td>
<td>Genocchi<br />
</td>
<td>4.355<br />
</td>
<td>2359296/1953125<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>Number<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<1 4 -2 4 -6 -16]]<br />
</td>
<td>Dominant<br />
</td>
<td>1.466<br />
</td>
<td>36/35 64/63<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 8 13 8 15 8]]<br />
</td>
<td>Mohamaq<br />
</td>
<td>2.958<br />
</td>
<td>81/80 392/375<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 -5 -6 -15 -18 0]]<br />
</td>
<td>Progress<br />
</td>
<td>2.762<br />
</td>
<td>64/63 392/375<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 -1 9 -11 3 24]]<br />
</td>
<td>Smate<br />
</td>
<td>2.575<br />
</td>
<td>36/35 2048/1875<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 3 7 -7 -3 8]]<br />
</td>
<td>Progression<br />
</td>
<td>1.976<br />
</td>
<td>36/35 392/375<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 7 5 -3 -9 -8]]<br />
</td>
<td>Subklei<br />
</td>
<td>2.340<br />
</td>
<td>36/35 1029/1000<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 11 3 1 -15 -24]]<br />
</td>
<td>Slurpee<br />
</td>
<td>3.369<br />
</td>
<td>36/35 51200/50421<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 -2 1 -22 -21 8]]<br />
</td>
<td>Hemismate<br />
</td>
<td>3.783<br />
</td>
<td>256/245 392/375<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>Number<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<1 4 -2 -6 4 -6 -13 -16 -28 -10]]<br />
</td>
<td>Dominant<br />
</td>
<td>1.864<br />
</td>
<td>36/35 56/55 64/63<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 8 -4 5 8 -12 1 -32 -16 28]]<br />
</td>
<td>Maqamic<br />
</td>
<td>2.569<br />
</td>
<td>36/35 64/63 121/120<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 -5 -6 -1 -15 -18 -12 0 15 18]]<br />
</td>
<td>Progress<br />
</td>
<td>2.399<br />
</td>
<td>56/55 64/63 77/75<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 -1 9 10 -11 3 2 24 27 -3]]<br />
</td>
<td>Smate<br />
</td>
<td>2.443<br />
</td>
<td>36/35 56/55 243/242<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 3 7 4 -7 -3 -11 8 -1 -13]]<br />
</td>
<td>Progression<br />
</td>
<td>1.749<br />
</td>
<td>36/35 56/55 77/75<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 7 5 15 -3 -9 3 -8 11 25]]<br />
</td>
<td>Subklei<br />
</td>
<td>2.459<br />
</td>
<td>36/35 77/75 352/343<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 11 3 9 1 -15 -10 -24 -17 15]]<br />
</td>
<td>Slurpee<br />
</td>
<td>2.916<br />
</td>
<td>36/35 121/120 352/343<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 -2 1 3 -22 -21 -23 8 14 5]]<br />
</td>
<td>Hemismate<br />
</td>
<td>3.279<br />
</td>
<td>56/55 77/75 256/245<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>Number<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td><<1 4 -2 11 8 4 -6 14 9 -16 12 4 38 30 -13]]<br />
</td>
<td>Domination<br />
</td>
<td>2.061<br />
</td>
<td>26/25 36/35 64/63 66/65<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 8 -4 5 -1 8 -12 1 -9 -32 -16 -32 28 12 -22]]<br />
</td>
<td>Maqamic<br />
</td>
<td>2.402<br />
</td>
<td>36/35 64/63 66/65 121/120<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 -5 -6 -1 -10 -15 -18 -12 -27 0 15 -5 18 -6 -31]]<br />
</td>
<td>Progressive<br />
</td>
<td>2.485<br />
</td>
<td>26/25 56/55 64/63 77/75<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 -1 9 10 -2 -11 3 2 -18 24 27 -1 -3 -39 -44]]<br />
</td>
<td>Smate<br />
</td>
<td>2.520<br />
</td>
<td>26/25 36/35 56/55 243/242<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 3 7 4 6 -7 -3 -11 -9 8 -1 3 -13 -9 6]]<br />
</td>
<td>Progression<br />
</td>
<td>1.563<br />
</td>
<td>26/25 36/35 56/55 66/65<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 7 5 15 14 -3 -9 3 0 -8 11 7 25 21 -7]]<br />
</td>
<td>Subklei<br />
</td>
<td>2.307<br />
</td>
<td>26/25 36/35 66/65 352/343<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 11 3 9 5 1 -15 -10 -18 -24 -17 -29 15 3 -16]]<br />
</td>
<td>Slurpee<br />
</td>
<td>2.700<br />
</td>
<td>36/35 66/65 143/140 352/343<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 -2 1 3 -4 -22 -21 -23 -36 8 14 -2 5 -15 -25]]<br />
</td>
<td>Hemismate<br />
</td>
<td>3.187<br />
</td>
<td>26/25 56/55 77/75 256/245<br />
</td>
</tr>
</table>
</body></html>