List of edo-distinct 22et rank two temperaments
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Original Wikitext content:
The temperaments listed are 22edo-distinct, meaning that they are all different even if tuned in 22edo. 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= || Rank || Wedgie || Name || Complexity || Commas || || 1 || <<1 9 12]] || Superpyth || 2.947 || 20480/19683 || || 2 || <<2 -4 -11]] || Srutal || 2.121 || 2048/2025 || || 3 || <<3 5 1]] || Porcupine || 1.663 || 250/243 || || 4 || <<4 14 13]] || Comic || 4.290 || 5120000/4782969 || || 5 || <<5 1 -10]] || Magic || 2.417 || 3072/3125 || || 6 || <<16 -10 -53]] || Kwazy || 10.454 || 9010162353515625/9007199254740992 || || 7 || <<7 -3 -21]] || Orson || 4.232 || 2109375/2097152 || || 8 || <<8 6 -9]] || Doublewide || 3.565 || 390625/373248 || || 9 || <<13 7 -19]] || Chromo || 5.860 || 1220703125/1146617856 || || 10 || <<12 -2 -31]] || Wizard || 6.558 || 2197265625/2147483648 || || 11 || <<11 11 -8]] || Undeka || 5.011 || 48828125/45349632 || =7-limit temperaments= || Rank || Wedgie || Name || Complexity || Commas || || 1 || <<1 9 -2 12 -6 -30]] || Superpyth || 2.874 || 64/63 245/243 || || 2 || <<2 -4 -4 -11 -12 2]] || Pajara || 1.953 || 50/49 64/63 || || 3 || <<3 5 -6 1 -18 -28]] || Porcupine || 2.819 || 64/63 250/243 || || 4 || <<4 14 14 13 11 -7]] || Comic || 3.815 || 50/49 2240/2187 || || 5 || <<5 1 12 -10 5 25]] || Magic || 2.937 || 225/224 245/243 || || 6 || <<6 10 10 2 -1 -5]] || Hedgehog || 2.784 || 50/49 245/243 || || 7 || <<7 -3 8 -21 -7 27]] || Orwell || 3.685 || 225/224 1728/1715 || || 8 || <<8 6 6 -9 -13 -3]] || Doublewide || 2.928 || 50/49 875/864 || || 9 || <<9 15 4 3 -19 -33]] || Ceratitid || 4.482 || 250/243 1728/1715 || || 10 || <<10 2 2 -20 -25 -1]] || Astrology || 4.127 || 50/49 3125/3072 || || 11 || <<11 11 0 -8 -31 -31]] || Undeka || 4.941 || 875/864 3200/3087 || =11-limit temperaments= || Rank || Wedgie || Name || Complexity || Commas || || 1 || <<1 9 -2 -6 12 -6 -13 -30 -45 -10]] || Suprapyth || 3.011 || 55/54 64/63 99/98 || || 2 || <<2 -4 -4 -12 -11 -12 -26 2 -14 -20]] || Pajara || 2.543 || 50/49 64/63 99/98 || || 3 || <<3 5 -6 4 1 -18 -4 -28 -8 32]] || Porcupine || 2.478 || 55/54 64/63 100/99 || || 4 || <<4 -8 -8 -2 -22 -24 -17 4 23 22]] || Hemipaj || 3.389 || 50/49 64/63 121/120 || || 5 || <<5 1 12 14 -10 5 5 25 29 -2]] || Telepathy || 2.864 || 55/54 99/98 176/175 || || 6 || <<6 10 10 8 2 -1 -8 -5 -16 -12]] || Hedgehog || 2.439 || 50/49 55/54 99/98 || || 7 || <<7 -3 8 2 -21 -7 -21 27 15 -22]] || Orwell || 3.242 || 99/98 121/120 176/175 || || 8 || <<8 6 6 18 -9 -13 1 -3 21 30]] || Fleetwood || 3.081 || 50/49 55/54 176/175 || || 9 || <<9 15 4 12 3 -19 -12 -33 -24 20]] || Ceratitid || 3.880 || 55/54 100/99 5324/5145 || || 10 || <<10 2 2 6 -20 -25 -25 -1 7 10]] || Astrology || 3.575 || 50/49 121/120 176/175 || || 11 || <<11 11 0 0 -8 -31 -38 -31 -38 0]] || Undeka || 4.657 || 100/99 352/343 385/384 || =13-limit temperaments= || Rank || Wedgie || Name || Complexity || Commas || || 1 || <<1 9 -2 -6 -9 12 -6 -13 -18 -30 -45 -54 -10 -18 -9]] || Suprapyth || 3.151 || 55/54 64/63 65/63 364/363 || || 2 || <<2 -4 -4 10 4 -11 -12 9 -1 2 37 24 42 26 -23]] || Pajarous || 2.481 || 50/49 55/54 64/63 65/63 || || 3 || <<3 5 -6 4 -5 1 -18 -4 -19 -28 -8 -30 32 8 -32]] || Porkpie || 2.487 || 55/54 64/63 65/63 100/99 || || 4 || <<4 14 14 20 8 13 11 18 -2 -7 -2 -33 8 -29 -46]] || Comic || 3.391 || 50/49 65/63 99/98 968/945 || || 5 || <<5 1 12 14 -1 -10 5 5 -20 25 29 -6 -2 -47 -55]] || Telepathy || 2.980 || 55/54 65/64 91/90 99/98 || || 6 || <<6 10 10 8 12 2 -1 -8 -3 -5 -16 -9 -12 -3 12]] || Hedgehog || 2.196 || 50/49 55/54 65/63 99/98 || || 7 || <<7 -3 8 2 3 -21 -7 -21 -21 27 15 18 -22 -21 3]] || Blair || 2.911 || 65/64 78/77 91/90 99/98 || || 8 || <<8 6 6 18 16 -9 -13 1 -4 -3 21 15 30 23 -11]] || Fleetwood || 2.861 || 50/49 55/54 65/63 176/175 || || 9 || <<9 15 4 12 7 3 -19 -12 -22 -33 -24 -39 20 5 -20]] || Ceratitid || 3.573 || 55/54 65/63 100/99 352/343 || || 10 || <<10 2 2 6 -2 -20 -25 -25 -40 -1 7 -12 10 -13 -29]] || || 3.495 || 50/49 65/64 78/77 121/120 || || 11 || <<11 11 0 0 11 -8 -31 -38 -23 -31 -38 -15 0 31 38]] || Undeka || 4.178 || 65/63 100/99 169/165 352/343 ||
Original HTML content:
<html><head><title>List of edo-distinct 22et rank two temperaments</title></head><body>The temperaments listed are 22edo-distinct, meaning that they are all different even if tuned in 22edo. 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.<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>Rank<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 9 12]]<br />
</td>
<td>Superpyth<br />
</td>
<td>2.947<br />
</td>
<td>20480/19683<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 -4 -11]]<br />
</td>
<td>Srutal<br />
</td>
<td>2.121<br />
</td>
<td>2048/2025<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 5 1]]<br />
</td>
<td>Porcupine<br />
</td>
<td>1.663<br />
</td>
<td>250/243<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 14 13]]<br />
</td>
<td>Comic<br />
</td>
<td>4.290<br />
</td>
<td>5120000/4782969<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 1 -10]]<br />
</td>
<td>Magic<br />
</td>
<td>2.417<br />
</td>
<td>3072/3125<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<16 -10 -53]]<br />
</td>
<td>Kwazy<br />
</td>
<td>10.454<br />
</td>
<td>9010162353515625/9007199254740992<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 -3 -21]]<br />
</td>
<td>Orson<br />
</td>
<td>4.232<br />
</td>
<td>2109375/2097152<br />
</td>
</tr>
<tr>
<td>8<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>9<br />
</td>
<td><<13 7 -19]]<br />
</td>
<td>Chromo<br />
</td>
<td>5.860<br />
</td>
<td>1220703125/1146617856<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<12 -2 -31]]<br />
</td>
<td>Wizard<br />
</td>
<td>6.558<br />
</td>
<td>2197265625/2147483648<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<11 11 -8]]<br />
</td>
<td>Undeka<br />
</td>
<td>5.011<br />
</td>
<td>48828125/45349632<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>Rank<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 9 -2 12 -6 -30]]<br />
</td>
<td>Superpyth<br />
</td>
<td>2.874<br />
</td>
<td>64/63 245/243<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 -4 -4 -11 -12 2]]<br />
</td>
<td>Pajara<br />
</td>
<td>1.953<br />
</td>
<td>50/49 64/63<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 5 -6 1 -18 -28]]<br />
</td>
<td>Porcupine<br />
</td>
<td>2.819<br />
</td>
<td>64/63 250/243<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 14 14 13 11 -7]]<br />
</td>
<td>Comic<br />
</td>
<td>3.815<br />
</td>
<td>50/49 2240/2187<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 1 12 -10 5 25]]<br />
</td>
<td>Magic<br />
</td>
<td>2.937<br />
</td>
<td>225/224 245/243<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 10 10 2 -1 -5]]<br />
</td>
<td>Hedgehog<br />
</td>
<td>2.784<br />
</td>
<td>50/49 245/243<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 -3 8 -21 -7 27]]<br />
</td>
<td>Orwell<br />
</td>
<td>3.685<br />
</td>
<td>225/224 1728/1715<br />
</td>
</tr>
<tr>
<td>8<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>9<br />
</td>
<td><<9 15 4 3 -19 -33]]<br />
</td>
<td>Ceratitid<br />
</td>
<td>4.482<br />
</td>
<td>250/243 1728/1715<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<10 2 2 -20 -25 -1]]<br />
</td>
<td>Astrology<br />
</td>
<td>4.127<br />
</td>
<td>50/49 3125/3072<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<11 11 0 -8 -31 -31]]<br />
</td>
<td>Undeka<br />
</td>
<td>4.941<br />
</td>
<td>875/864 3200/3087<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>Rank<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 9 -2 -6 12 -6 -13 -30 -45 -10]]<br />
</td>
<td>Suprapyth<br />
</td>
<td>3.011<br />
</td>
<td>55/54 64/63 99/98<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 -4 -4 -12 -11 -12 -26 2 -14 -20]]<br />
</td>
<td>Pajara<br />
</td>
<td>2.543<br />
</td>
<td>50/49 64/63 99/98<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 5 -6 4 1 -18 -4 -28 -8 32]]<br />
</td>
<td>Porcupine<br />
</td>
<td>2.478<br />
</td>
<td>55/54 64/63 100/99<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 -8 -8 -2 -22 -24 -17 4 23 22]]<br />
</td>
<td>Hemipaj<br />
</td>
<td>3.389<br />
</td>
<td>50/49 64/63 121/120<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 1 12 14 -10 5 5 25 29 -2]]<br />
</td>
<td>Telepathy<br />
</td>
<td>2.864<br />
</td>
<td>55/54 99/98 176/175<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 10 10 8 2 -1 -8 -5 -16 -12]]<br />
</td>
<td>Hedgehog<br />
</td>
<td>2.439<br />
</td>
<td>50/49 55/54 99/98<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 -3 8 2 -21 -7 -21 27 15 -22]]<br />
</td>
<td>Orwell<br />
</td>
<td>3.242<br />
</td>
<td>99/98 121/120 176/175<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 6 6 18 -9 -13 1 -3 21 30]]<br />
</td>
<td>Fleetwood<br />
</td>
<td>3.081<br />
</td>
<td>50/49 55/54 176/175<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<9 15 4 12 3 -19 -12 -33 -24 20]]<br />
</td>
<td>Ceratitid<br />
</td>
<td>3.880<br />
</td>
<td>55/54 100/99 5324/5145<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<10 2 2 6 -20 -25 -25 -1 7 10]]<br />
</td>
<td>Astrology<br />
</td>
<td>3.575<br />
</td>
<td>50/49 121/120 176/175<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<11 11 0 0 -8 -31 -38 -31 -38 0]]<br />
</td>
<td>Undeka<br />
</td>
<td>4.657<br />
</td>
<td>100/99 352/343 385/384<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>Rank<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 9 -2 -6 -9 12 -6 -13 -18 -30 -45 -54 -10 -18 -9]]<br />
</td>
<td>Suprapyth<br />
</td>
<td>3.151<br />
</td>
<td>55/54 64/63 65/63 364/363<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<2 -4 -4 10 4 -11 -12 9 -1 2 37 24 42 26 -23]]<br />
</td>
<td>Pajarous<br />
</td>
<td>2.481<br />
</td>
<td>50/49 55/54 64/63 65/63<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 5 -6 4 -5 1 -18 -4 -19 -28 -8 -30 32 8 -32]]<br />
</td>
<td>Porkpie<br />
</td>
<td>2.487<br />
</td>
<td>55/54 64/63 65/63 100/99<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<4 14 14 20 8 13 11 18 -2 -7 -2 -33 8 -29 -46]]<br />
</td>
<td>Comic<br />
</td>
<td>3.391<br />
</td>
<td>50/49 65/63 99/98 968/945<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<5 1 12 14 -1 -10 5 5 -20 25 29 -6 -2 -47 -55]]<br />
</td>
<td>Telepathy<br />
</td>
<td>2.980<br />
</td>
<td>55/54 65/64 91/90 99/98<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<6 10 10 8 12 2 -1 -8 -3 -5 -16 -9 -12 -3 12]]<br />
</td>
<td>Hedgehog<br />
</td>
<td>2.196<br />
</td>
<td>50/49 55/54 65/63 99/98<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<7 -3 8 2 3 -21 -7 -21 -21 27 15 18 -22 -21 3]]<br />
</td>
<td>Blair<br />
</td>
<td>2.911<br />
</td>
<td>65/64 78/77 91/90 99/98<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 6 6 18 16 -9 -13 1 -4 -3 21 15 30 23 -11]]<br />
</td>
<td>Fleetwood<br />
</td>
<td>2.861<br />
</td>
<td>50/49 55/54 65/63 176/175<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<9 15 4 12 7 3 -19 -12 -22 -33 -24 -39 20 5 -20]]<br />
</td>
<td>Ceratitid<br />
</td>
<td>3.573<br />
</td>
<td>55/54 65/63 100/99 352/343<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<10 2 2 6 -2 -20 -25 -25 -40 -1 7 -12 10 -13 -29]]<br />
</td>
<td><br />
</td>
<td>3.495<br />
</td>
<td>50/49 65/64 78/77 121/120<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<11 11 0 0 11 -8 -31 -38 -23 -31 -38 -15 0 31 38]]<br />
</td>
<td>Undeka<br />
</td>
<td>4.178<br />
</td>
<td>65/63 100/99 169/165 352/343<br />
</td>
</tr>
</table>
</body></html>