List of edo-distinct 19et rank two temperaments
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Original Wikitext content:
The temperaments listed are 19edo-distinct, meaning that they are all different even if tuned in 19edo. 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 || || 19, 8 || <<1 4 4]] || Meantone || 1.231 || 81/80 || || 19, 4 || <<2 -11 -22]] || Hogzilla || 4.464 || 4428675/4194304 || || 19, 9 || <<3 -7 -18]] || Stump || 3.493 || 273375/262144 || || 19, 2 || <<4 -3 -14]] || Negri || 2.739 || 16875/16384 || || 19, 6 || <<5 1 -10]] || Magic || 2.417 || 3125/3072 || || 19, 5 || <<6 5 -6]] || Hanson || 2.685 || 15625/15552 || || 19, 7 || <<7 9 -2]] || Sensi || 3.407 || 78732/78125 || || 19, 1 || <<8 13 2]] || Unicorn || 4.363 || 1594323/1562500 || || 19, 3 || <<9 -2 -24]] || Unsmate || 5.017 || 17578125/16777216 || =7-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 19, 8 || <<1 4 10 4 13 12]] || Meantone || 2.205 || 81/80 126/125 || || 19, 4 || <<2 8 1 8 -4 -20]] || Godzilla || 2.181 || 49/48 81/80 || || 19, 9 || <<3 12 11 12 9 -8]] || Liese || 3.211 || 81/80 686/675 || || 19, 2 || <<4 -3 2 -14 -8 13]] || Negri || 2.245 || 49/48 225/224 || || 19, 6 || <<5 1 12 -10 5 25]] || Magic || 2.937 || 225/224 245/243 || || 19, 5 || <<6 5 3 -6 -12 -7]] || Keemun || 2.280 || 49/48 126/125 || || 19, 7 || <<7 9 13 -2 1 5]] || Sensi || 3.080 || 126/125 245/243 || || 19, 1 || <<8 13 4 2 -16 -27]] || Rhinoceros || 3.857 || 49/48 4375/4374 || || 19, 3 || <<10 2 5 -20 -20 6]] || Spell || 3.965 || 49/48 3125/3072 || =11-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 19, 8 || <<1 4 10 6 4 13 6 12 0 -18]] || Meanenneadecal || 1.918 || 45/44 56/55 81/80 || || 19, 4 || <<2 8 1 12 8 -4 12 -20 0 30]] || Godzilla || 2.343 || 45/44 49/48 81/80 || || 19, 9 || <<3 -7 -8 -1 -18 -21 -12 1 22 25]] || Triton || 2.933 || 45/44 56/55 1029/1000 || || 19, 2 || <<4 -3 2 5 -14 -8 -6 13 22 7]] || Negri || 2.038 || 45/44 49/48 56/55 || || 19, 6 || <<5 1 12 11 -10 5 0 25 22 -11]] || Charisma || 2.658 || 45/44 56/55 245/243 || || 19, 5 || <<6 5 3 -2 -6 -12 -24 -7 -22 -16]] || Keemun || 2.468 || 49/48 56/55 100/99 || || 19, 7 || <<7 9 13 4 -2 1 -18 5 -22 -34]] || Sensis || 2.980 || 56/55 100/99 245/243 || || 19, 1 || <<8 13 4 10 2 -16 -12 -27 -22 14]] || Rhinoceros || 3.346 || 49/48 100/99 126/121 || || 19, 3 || <<10 2 5 3 -20 -20 -30 6 0 -9]] || Spell || 3.548 || 49/48 56/55 125/121 || =13-limit temperaments= || Period, generator || Wedgie || Name || Complexity || Commas || || 19, 8 || <<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]] || Meanenneadecal || 2.251 || 45/44 56/55 78/77 81/80 || || 19, 4 || <<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]] || Godzilla || 2.219 || 45/44 49/48 78/77 81/80 || || 19, 9 || <<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]] || Lisa || 2.947 || 45/44 81/80 91/88 147/143 || || 19, 2 || <<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]] || Negri || 1.824 || 45/44 49/48 56/55 78/77 || || 19, 6 || <<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]] || Glamour || 2.770 || 45/44 56/55 91/88 507/500 || || 19, 5 || <<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]] || Qeema || 2.633 || 45/44 49/48 78/77 126/125 || || 19, 7 || <<7 9 13 4 10 -2 1 -18 -10 5 -22 -10 -34 -20 20]] || Sensis || 2.664 || 56/55 78/77 91/90 100/99 || || 19, 1 || <<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]] || Rhinoceros || 3.093 || 49/48 78/77 100/99 126/121 || || 19, 3 || <<10 2 5 3 -2 -20 -20 -30 -40 6 0 -12 -9 -24 -18]] || Spell || 3.483 || 49/48 56/55 78/77 125/121 ||
Original HTML content:
<html><head><title>List of edo-distinct 19et rank two temperaments</title></head><body>The temperaments listed are 19edo-distinct, meaning that they are all different even if tuned in 19edo. 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>Period,<br />
generator<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<br />
</td>
</tr>
<tr>
<td>19, 8<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>19, 4<br />
</td>
<td><<2 -11 -22]]<br />
</td>
<td>Hogzilla<br />
</td>
<td>4.464<br />
</td>
<td>4428675/4194304<br />
</td>
</tr>
<tr>
<td>19, 9<br />
</td>
<td><<3 -7 -18]]<br />
</td>
<td>Stump<br />
</td>
<td>3.493<br />
</td>
<td>273375/262144<br />
</td>
</tr>
<tr>
<td>19, 2<br />
</td>
<td><<4 -3 -14]]<br />
</td>
<td>Negri<br />
</td>
<td>2.739<br />
</td>
<td>16875/16384<br />
</td>
</tr>
<tr>
<td>19, 6<br />
</td>
<td><<5 1 -10]]<br />
</td>
<td>Magic<br />
</td>
<td>2.417<br />
</td>
<td>3125/3072<br />
</td>
</tr>
<tr>
<td>19, 5<br />
</td>
<td><<6 5 -6]]<br />
</td>
<td>Hanson<br />
</td>
<td>2.685<br />
</td>
<td>15625/15552<br />
</td>
</tr>
<tr>
<td>19, 7<br />
</td>
<td><<7 9 -2]]<br />
</td>
<td>Sensi<br />
</td>
<td>3.407<br />
</td>
<td>78732/78125<br />
</td>
</tr>
<tr>
<td>19, 1<br />
</td>
<td><<8 13 2]]<br />
</td>
<td>Unicorn<br />
</td>
<td>4.363<br />
</td>
<td>1594323/1562500<br />
</td>
</tr>
<tr>
<td>19, 3<br />
</td>
<td><<9 -2 -24]]<br />
</td>
<td>Unsmate<br />
</td>
<td>5.017<br />
</td>
<td>17578125/16777216<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>19, 8<br />
</td>
<td><<1 4 10 4 13 12]]<br />
</td>
<td>Meantone<br />
</td>
<td>2.205<br />
</td>
<td>81/80 126/125<br />
</td>
</tr>
<tr>
<td>19, 4<br />
</td>
<td><<2 8 1 8 -4 -20]]<br />
</td>
<td>Godzilla<br />
</td>
<td>2.181<br />
</td>
<td>49/48 81/80<br />
</td>
</tr>
<tr>
<td>19, 9<br />
</td>
<td><<3 12 11 12 9 -8]]<br />
</td>
<td>Liese<br />
</td>
<td>3.211<br />
</td>
<td>81/80 686/675<br />
</td>
</tr>
<tr>
<td>19, 2<br />
</td>
<td><<4 -3 2 -14 -8 13]]<br />
</td>
<td>Negri<br />
</td>
<td>2.245<br />
</td>
<td>49/48 225/224<br />
</td>
</tr>
<tr>
<td>19, 6<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>19, 5<br />
</td>
<td><<6 5 3 -6 -12 -7]]<br />
</td>
<td>Keemun<br />
</td>
<td>2.280<br />
</td>
<td>49/48 126/125<br />
</td>
</tr>
<tr>
<td>19, 7<br />
</td>
<td><<7 9 13 -2 1 5]]<br />
</td>
<td>Sensi<br />
</td>
<td>3.080<br />
</td>
<td>126/125 245/243<br />
</td>
</tr>
<tr>
<td>19, 1<br />
</td>
<td><<8 13 4 2 -16 -27]]<br />
</td>
<td>Rhinoceros<br />
</td>
<td>3.857<br />
</td>
<td>49/48 4375/4374<br />
</td>
</tr>
<tr>
<td>19, 3<br />
</td>
<td><<10 2 5 -20 -20 6]]<br />
</td>
<td>Spell<br />
</td>
<td>3.965<br />
</td>
<td>49/48 3125/3072<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>19, 8<br />
</td>
<td><<1 4 10 6 4 13 6 12 0 -18]]<br />
</td>
<td>Meanenneadecal<br />
</td>
<td>1.918<br />
</td>
<td>45/44 56/55 81/80<br />
</td>
</tr>
<tr>
<td>19, 4<br />
</td>
<td><<2 8 1 12 8 -4 12 -20 0 30]]<br />
</td>
<td>Godzilla<br />
</td>
<td>2.343<br />
</td>
<td>45/44 49/48 81/80<br />
</td>
</tr>
<tr>
<td>19, 9<br />
</td>
<td><<3 -7 -8 -1 -18 -21 -12 1 22 25]]<br />
</td>
<td>Triton<br />
</td>
<td>2.933<br />
</td>
<td>45/44 56/55 1029/1000<br />
</td>
</tr>
<tr>
<td>19, 2<br />
</td>
<td><<4 -3 2 5 -14 -8 -6 13 22 7]]<br />
</td>
<td>Negri<br />
</td>
<td>2.038<br />
</td>
<td>45/44 49/48 56/55<br />
</td>
</tr>
<tr>
<td>19, 6<br />
</td>
<td><<5 1 12 11 -10 5 0 25 22 -11]]<br />
</td>
<td>Charisma<br />
</td>
<td>2.658<br />
</td>
<td>45/44 56/55 245/243<br />
</td>
</tr>
<tr>
<td>19, 5<br />
</td>
<td><<6 5 3 -2 -6 -12 -24 -7 -22 -16]]<br />
</td>
<td>Keemun<br />
</td>
<td>2.468<br />
</td>
<td>49/48 56/55 100/99<br />
</td>
</tr>
<tr>
<td>19, 7<br />
</td>
<td><<7 9 13 4 -2 1 -18 5 -22 -34]]<br />
</td>
<td>Sensis<br />
</td>
<td>2.980<br />
</td>
<td>56/55 100/99 245/243<br />
</td>
</tr>
<tr>
<td>19, 1<br />
</td>
<td><<8 13 4 10 2 -16 -12 -27 -22 14]]<br />
</td>
<td>Rhinoceros<br />
</td>
<td>3.346<br />
</td>
<td>49/48 100/99 126/121<br />
</td>
</tr>
<tr>
<td>19, 3<br />
</td>
<td><<10 2 5 3 -20 -20 -30 6 0 -9]]<br />
</td>
<td>Spell<br />
</td>
<td>3.548<br />
</td>
<td>49/48 56/55 125/121<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>19, 8<br />
</td>
<td><<1 4 10 6 15 4 13 6 20 12 0 20 -18 5 30]]<br />
</td>
<td>Meanenneadecal<br />
</td>
<td>2.251<br />
</td>
<td>45/44 56/55 78/77 81/80<br />
</td>
</tr>
<tr>
<td>19, 4<br />
</td>
<td><<2 8 1 12 11 8 -4 12 10 -20 0 -4 30 27 -6]]<br />
</td>
<td>Godzilla<br />
</td>
<td>2.219<br />
</td>
<td>45/44 49/48 78/77 81/80<br />
</td>
</tr>
<tr>
<td>19, 9<br />
</td>
<td><<3 12 11 18 7 12 9 18 0 -8 0 -28 12 -21 -42]]<br />
</td>
<td>Lisa<br />
</td>
<td>2.947<br />
</td>
<td>45/44 81/80 91/88 147/143<br />
</td>
</tr>
<tr>
<td>19, 2<br />
</td>
<td><<4 -3 2 5 3 -14 -8 -6 -10 13 22 18 7 1 -8]]<br />
</td>
<td>Negri<br />
</td>
<td>1.824<br />
</td>
<td>45/44 49/48 56/55 78/77<br />
</td>
</tr>
<tr>
<td>19, 6<br />
</td>
<td><<5 1 12 11 -1 -10 5 0 -20 25 22 -6 -11 -47 -44]]<br />
</td>
<td>Glamour<br />
</td>
<td>2.770<br />
</td>
<td>45/44 56/55 91/88 507/500<br />
</td>
</tr>
<tr>
<td>19, 5<br />
</td>
<td><<6 5 3 17 14 -6 -12 6 0 -7 22 14 37 28 -14]]<br />
</td>
<td>Qeema<br />
</td>
<td>2.633<br />
</td>
<td>45/44 49/48 78/77 126/125<br />
</td>
</tr>
<tr>
<td>19, 7<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>2.664<br />
</td>
<td>56/55 78/77 91/90 100/99<br />
</td>
</tr>
<tr>
<td>19, 1<br />
</td>
<td><<8 13 4 10 6 2 -16 -12 -20 -27 -22 -34 14 2 -16]]<br />
</td>
<td>Rhinoceros<br />
</td>
<td>3.093<br />
</td>
<td>49/48 78/77 100/99 126/121<br />
</td>
</tr>
<tr>
<td>19, 3<br />
</td>
<td><<10 2 5 3 -2 -20 -20 -30 -40 6 0 -12 -9 -24 -18]]<br />
</td>
<td>Spell<br />
</td>
<td>3.483<br />
</td>
<td>49/48 56/55 78/77 125/121<br />
</td>
</tr>
</table>
</body></html>