List of edo-distinct 24et rank two temperaments
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The temperaments listed are 24edo-distinct, meaning that they are all different even if tuned in 24edo. The ordering is by increasing complexity of 7. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness. =7-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<2 8 1 8 -4 -20]] || Godzilla || 2.181 || 49/48 81/80 || || 2 || <<4 -8 2 -22 -8 27]] || Anguirus || 3.533 || 49/48 2048/2025 || || 3 || <<6 0 3 -14 -12 7]] || Triforce || 2.529 || 49/48 128/125 || || 4 || <<8 8 4 -6 -16 -13]] || Hemidim || 3.134 || 49/48 648/625 || || 5 || <<10 16 5 2 -20 -33]] || Hemiripple || 4.771 || 49/48 6561/6250 || || 6 || <<12 0 18 -28 -5 42]] || Hemisemiaug || 5.760 || 128/125 12005/11664 || || 7 || <<10 16 17 2 -1 -5]] || Cohemiripple || 4.562 || 245/243 1323/1250 || || 8 || <<8 8 16 -6 3 15]] || Semidim || 3.611 || 245/243 392/375 || || 9 || <<6 0 15 -14 7 35]] || Semiaug || 3.844 || 128/125 245/243 || || 10 || <<4 -8 -10 -22 -27 -1]] || Shru || 4.153 || 392/375 1323/1280 || || 11 || <<2 8 13 8 15 8]] || Mohamaq || 2.958 || 81/80 392/375 || || 12 || <<0 0 12 0 19 28]] || Catler || 3.026 || 81/80 128/125 || =11-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<2 8 1 -7 8 -4 -18 -20 -44 -23]] || Baragon || 2.811 || 49/48 56/55 81/80 || || 2 || <<4 -8 2 10 -22 -8 2 27 51 21]] || Anguirus || 3.583 || 49/48 56/55 243/242 || || 3 || <<6 0 3 3 -14 -12 -16 7 7 -2]] || Triforce || 2.201 || 49/48 56/55 77/75 || || 4 || <<8 8 4 20 -6 -16 4 -13 19 42]] || Hemidim || 3.423 || 49/48 77/75 243/242 || || 5 || <<10 16 5 13 2 -20 -14 -33 -25 19]] || Hemiripple || 4.132 || 49/48 121/120 567/550 || || 6 || <<12 0 18 18 -28 -5 -13 42 42 -12]] || Hemisemiaug || 5.105 || 56/55 128/125 3773/3645 || || 7 || <<10 16 17 25 2 -1 5 -5 3 11]] || Cohemiripple || 4.235 || 77/75 243/242 245/242 || || 8 || <<8 8 16 8 -6 3 -15 15 -9 -33]] || Semidim || 3.223 || 56/55 77/75 245/243 || || 9 || <<6 0 15 15 -14 7 3 35 35 -10]] || Hemiaug || 3.575 || 56/55 128/125 245/243 || || 10 || <<4 -8 -10 -2 -22 -27 -17 -1 23 29]] || Shru || 3.613 || 56/55 77/75 1323/1280 || || 11 || <<2 8 13 5 8 15 1 8 -16 -31]] || Mohamaq || 2.623 || 56/55 77/75 243/242 || || 12 || <<0 0 12 12 0 19 19 28 28 -8]] || Catcall || 3.030 || 56/55 81/80 128/125 || =13-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<2 8 1 17 11 8 -4 20 10 -20 12 -4 44 27 -25]] || Varan || 2.724 || 49/48 66/65 77/75 81/80 || || 2 || <<4 -8 2 10 -2 -22 -8 2 -18 27 51 25 21 -13 -44]] || Anguirus || 3.265 || 49/48 56/55 91/90 352/351 || || 3 || <<6 0 3 3 9 -14 -12 -16 -8 7 7 21 -2 14 20]] || Triforce || 2.105 || 49/48 56/55 66/65 77/75 || || 4 || <<8 8 4 20 20 -6 -16 4 2 -13 19 17 42 41 -5]] || Hemidim || 3.328 || 49/48 66/65 77/75 648/625 || || 5 || <<10 16 5 13 7 2 -20 -14 -26 -33 -25 -43 19 1 -24]] || Hemiripple || 3.852 || 49/48 66/65 121/120 351/350 || || 6 || <<12 0 6 6 -6 -28 -24 -32 -54 14 14 -14 -4 -39 -43]] || Semitriforce || 4.540 || 49/48 56/55 77/75 507/500 || || 7 || <<10 16 17 25 19 2 -1 5 -7 -5 3 -15 11 -10 -27]] || Cohemiripple || 3.791 || 66/65 77/75 147/143 351/350 || || 8 || <<8 8 16 8 8 -6 3 -15 -17 15 -9 -11 -33 -37 -2]] || Semidim || 2.959 || 56/55 66/65 77/75 507/500 || || 9 || <<6 0 -9 -9 -3 -14 -31 -35 -27 -21 -21 -7 6 25 23]] || Hemiug || 3.505 || 56/55 66/65 105/104 507/500 || || 10 || <<4 -8 -10 -2 -14 -22 -27 -17 -37 -1 23 -3 29 -2 -41]] || Shru || 3.606 || 56/55 77/75 105/104 507/500 || || 11 || <<2 8 13 5 -1 8 15 1 -9 8 -16 -32 -31 -51 -22]] || Mohamaq || 2.734 || 56/55 66/65 77/75 243/242 || || 12 || <<0 0 12 12 12 0 19 19 19 28 28 28 -8 -11 -3]] || Catcall || 2.883 || 56/55 66/65 81/80 105/104 ||
Original HTML content:
<html><head><title>List of edo-distinct 24et rank two temperaments</title></head><body>The temperaments listed are 24edo-distinct, meaning that they are all different even if tuned in 24edo. The ordering is by increasing complexity of 7. 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="x7-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:0 -->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><<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>2<br />
</td>
<td><<4 -8 2 -22 -8 27]]<br />
</td>
<td>Anguirus<br />
</td>
<td>3.533<br />
</td>
<td>49/48 2048/2025<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<6 0 3 -14 -12 7]]<br />
</td>
<td>Triforce<br />
</td>
<td>2.529<br />
</td>
<td>49/48 128/125<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<8 8 4 -6 -16 -13]]<br />
</td>
<td>Hemidim<br />
</td>
<td>3.134<br />
</td>
<td>49/48 648/625<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<10 16 5 2 -20 -33]]<br />
</td>
<td>Hemiripple<br />
</td>
<td>4.771<br />
</td>
<td>49/48 6561/6250<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<12 0 18 -28 -5 42]]<br />
</td>
<td>Hemisemiaug<br />
</td>
<td>5.760<br />
</td>
<td>128/125 12005/11664<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<10 16 17 2 -1 -5]]<br />
</td>
<td>Cohemiripple<br />
</td>
<td>4.562<br />
</td>
<td>245/243 1323/1250<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 8 16 -6 3 15]]<br />
</td>
<td>Semidim<br />
</td>
<td>3.611<br />
</td>
<td>245/243 392/375<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<6 0 15 -14 7 35]]<br />
</td>
<td>Semiaug<br />
</td>
<td>3.844<br />
</td>
<td>128/125 245/243<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<4 -8 -10 -22 -27 -1]]<br />
</td>
<td>Shru<br />
</td>
<td>4.153<br />
</td>
<td>392/375 1323/1280<br />
</td>
</tr>
<tr>
<td>11<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>12<br />
</td>
<td><<0 0 12 0 19 28]]<br />
</td>
<td>Catler<br />
</td>
<td>3.026<br />
</td>
<td>81/80 128/125<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->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><<2 8 1 -7 8 -4 -18 -20 -44 -23]]<br />
</td>
<td>Baragon<br />
</td>
<td>2.811<br />
</td>
<td>49/48 56/55 81/80<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<4 -8 2 10 -22 -8 2 27 51 21]]<br />
</td>
<td>Anguirus<br />
</td>
<td>3.583<br />
</td>
<td>49/48 56/55 243/242<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<6 0 3 3 -14 -12 -16 7 7 -2]]<br />
</td>
<td>Triforce<br />
</td>
<td>2.201<br />
</td>
<td>49/48 56/55 77/75<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<8 8 4 20 -6 -16 4 -13 19 42]]<br />
</td>
<td>Hemidim<br />
</td>
<td>3.423<br />
</td>
<td>49/48 77/75 243/242<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<10 16 5 13 2 -20 -14 -33 -25 19]]<br />
</td>
<td>Hemiripple<br />
</td>
<td>4.132<br />
</td>
<td>49/48 121/120 567/550<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<12 0 18 18 -28 -5 -13 42 42 -12]]<br />
</td>
<td>Hemisemiaug<br />
</td>
<td>5.105<br />
</td>
<td>56/55 128/125 3773/3645<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<10 16 17 25 2 -1 5 -5 3 11]]<br />
</td>
<td>Cohemiripple<br />
</td>
<td>4.235<br />
</td>
<td>77/75 243/242 245/242<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 8 16 8 -6 3 -15 15 -9 -33]]<br />
</td>
<td>Semidim<br />
</td>
<td>3.223<br />
</td>
<td>56/55 77/75 245/243<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<6 0 15 15 -14 7 3 35 35 -10]]<br />
</td>
<td>Hemiaug<br />
</td>
<td>3.575<br />
</td>
<td>56/55 128/125 245/243<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<4 -8 -10 -2 -22 -27 -17 -1 23 29]]<br />
</td>
<td>Shru<br />
</td>
<td>3.613<br />
</td>
<td>56/55 77/75 1323/1280<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<2 8 13 5 8 15 1 8 -16 -31]]<br />
</td>
<td>Mohamaq<br />
</td>
<td>2.623<br />
</td>
<td>56/55 77/75 243/242<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<0 0 12 12 0 19 19 28 28 -8]]<br />
</td>
<td>Catcall<br />
</td>
<td>3.030<br />
</td>
<td>56/55 81/80 128/125<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x13-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->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><<2 8 1 17 11 8 -4 20 10 -20 12 -4 44 27 -25]]<br />
</td>
<td>Varan<br />
</td>
<td>2.724<br />
</td>
<td>49/48 66/65 77/75 81/80<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<4 -8 2 10 -2 -22 -8 2 -18 27 51 25 21 -13 -44]]<br />
</td>
<td>Anguirus<br />
</td>
<td>3.265<br />
</td>
<td>49/48 56/55 91/90 352/351<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<6 0 3 3 9 -14 -12 -16 -8 7 7 21 -2 14 20]]<br />
</td>
<td>Triforce<br />
</td>
<td>2.105<br />
</td>
<td>49/48 56/55 66/65 77/75<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<8 8 4 20 20 -6 -16 4 2 -13 19 17 42 41 -5]]<br />
</td>
<td>Hemidim<br />
</td>
<td>3.328<br />
</td>
<td>49/48 66/65 77/75 648/625<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<10 16 5 13 7 2 -20 -14 -26 -33 -25 -43 19 1 -24]]<br />
</td>
<td>Hemiripple<br />
</td>
<td>3.852<br />
</td>
<td>49/48 66/65 121/120 351/350<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td><<12 0 6 6 -6 -28 -24 -32 -54 14 14 -14 -4 -39 -43]]<br />
</td>
<td>Semitriforce<br />
</td>
<td>4.540<br />
</td>
<td>49/48 56/55 77/75 507/500<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td><<10 16 17 25 19 2 -1 5 -7 -5 3 -15 11 -10 -27]]<br />
</td>
<td>Cohemiripple<br />
</td>
<td>3.791<br />
</td>
<td>66/65 77/75 147/143 351/350<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td><<8 8 16 8 8 -6 3 -15 -17 15 -9 -11 -33 -37 -2]]<br />
</td>
<td>Semidim<br />
</td>
<td>2.959<br />
</td>
<td>56/55 66/65 77/75 507/500<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td><<6 0 -9 -9 -3 -14 -31 -35 -27 -21 -21 -7 6 25 23]]<br />
</td>
<td>Hemiug<br />
</td>
<td>3.505<br />
</td>
<td>56/55 66/65 105/104 507/500<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td><<4 -8 -10 -2 -14 -22 -27 -17 -37 -1 23 -3 29 -2 -41]]<br />
</td>
<td>Shru<br />
</td>
<td>3.606<br />
</td>
<td>56/55 77/75 105/104 507/500<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td><<2 8 13 5 -1 8 15 1 -9 8 -16 -32 -31 -51 -22]]<br />
</td>
<td>Mohamaq<br />
</td>
<td>2.734<br />
</td>
<td>56/55 66/65 77/75 243/242<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td><<0 0 12 12 12 0 19 19 19 28 28 28 -8 -11 -3]]<br />
</td>
<td>Catcall<br />
</td>
<td>2.883<br />
</td>
<td>56/55 66/65 81/80 105/104<br />
</td>
</tr>
</table>
</body></html>