List of edo-distinct 15et rank two temperaments
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-05-06 15:32:45 UTC.
- The original revision id was 330746226.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The temperaments listed are 15edo-distinct, meaning that they are all different even if tuned in 15edo. The ordering is by increasing complexity of 6/5. The temperament of lowest TE complexity was chosen as the representative for each class of edo-distinctness. =5-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || =7-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<6 5 3 -6 -12 -7]] || Keemun || 2.280 || 49/48 126/125 || || 2 || <<3 5 9 1 6 7]] || Opossum || 1.895 || 28/27 126/125 || || 3 || <<3 0 -6 -7 -18 -14]] || Augene || 2.336 || 64/63 126/125 || || 4 || <<6 10 3 2 -12 -21]] || Nautilus || 2.943 || 49/48 250/243 || || 5 || <<0 5 0 8 0 -14]] || Blacksmith || 1.526 || 28/27 49/48 || || 6 || <<6 0 3 -14 -12 7]] || Triforce || 2.529 || 49/48 128/125 || || 7 || <<3 10 9 9 6 -7]] || Kangaroo || 2.626 || 28/27 1029/1000 || =11-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<6 5 3 13 -6 -12 0 -7 13 26]] || Darjeeling || 2.347 || 49/48 55/54 77/75 || || 2 || <<3 5 9 4 1 6 -4 7 -8 -20]] || Opossum || 1.692 || 28/27 55/54 77/75 || || 3 || <<3 0 9 9 -7 6 4 21 21 -6]] || Inflated || 2.102 || 28/27 55/54 128/125 || || 4 || <<6 10 3 8 2 -12 -8 -21 -16 12]] || Nautilus || 2.548 || 49/48 55/54 100/99 || || 5 || <<0 5 0 -5 8 0 -8 -14 -29 -14]] || Blacksmith || 1.825 || 28/27 49/48 55/54 || || 6 || <<6 0 3 3 -14 -12 -16 7 7 -2]] || Triforce || 2.201 || 49/48 56/55 77/75 || || 7 || <<3 -5 -6 -1 -15 -18 -12 0 15 18]] || Progress || 2.399 || 56/55 64/63 77/75 || =13-limit temperaments= || Number || Wedgie || Name || Complexity || Commas || || 1 || <<6 5 3 13 14 -6 -12 0 0 -7 13 14 26 28 0]] || Darjeeling || 2.300 || 49/48 55/54 66/65 77/75 || || 2 || <<3 5 9 4 2 1 6 -4 -8 7 -8 -14 -20 -28 -8]] || Opossum || 1.655 || 28/27 40/39 55/54 66/65 || || 3 || <<3 0 -6 -6 -3 -7 -18 -20 -16 -14 -14 -7 4 14 12]] || Augene || 2.061 || 40/39 56/55 64/63 66/65 || || 4 || <<6 10 3 8 4 2 -12 -8 -16 -21 -16 -28 12 0 -16]] || Belauensis || 2.391 || 40/39 49/48 55/54 66/65 || || 5 || <<0 5 0 -5 5 8 0 -8 8 -14 -29 -7 -14 14 36]] || Blacksmith || 1.777 || 28/27 40/39 49/48 55/54 || || 6 || <<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 || || 7 || <<3 10 9 14 7 9 6 12 0 -7 -2 -21 8 -14 -28]] || Kangaroo || 2.301 || 28/27 40/39 77/75 147/143 ||
Original HTML content:
<html><head><title>List of edo-distinct 15et rank two temperaments</title></head><body>The temperaments listed are 15edo-distinct, meaning that they are all different even if tuned in 15edo. The ordering is by increasing complexity of 6/5. 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>Number<br />
</td>
<td>Wedgie<br />
</td>
<td>Name<br />
</td>
<td>Complexity<br />
</td>
<td>Commas<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><<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>2<br />
</td>
<td><<3 5 9 1 6 7]]<br />
</td>
<td>Opossum<br />
</td>
<td>1.895<br />
</td>
<td>28/27 126/125<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 0 -6 -7 -18 -14]]<br />
</td>
<td>Augene<br />
</td>
<td>2.336<br />
</td>
<td>64/63 126/125<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<6 10 3 2 -12 -21]]<br />
</td>
<td>Nautilus<br />
</td>
<td>2.943<br />
</td>
<td>49/48 250/243<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<0 5 0 8 0 -14]]<br />
</td>
<td>Blacksmith<br />
</td>
<td>1.526<br />
</td>
<td>28/27 49/48<br />
</td>
</tr>
<tr>
<td>6<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>7<br />
</td>
<td><<3 10 9 9 6 -7]]<br />
</td>
<td>Kangaroo<br />
</td>
<td>2.626<br />
</td>
<td>28/27 1029/1000<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><<6 5 3 13 -6 -12 0 -7 13 26]]<br />
</td>
<td>Darjeeling<br />
</td>
<td>2.347<br />
</td>
<td>49/48 55/54 77/75<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<3 5 9 4 1 6 -4 7 -8 -20]]<br />
</td>
<td>Opossum<br />
</td>
<td>1.692<br />
</td>
<td>28/27 55/54 77/75<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 0 9 9 -7 6 4 21 21 -6]]<br />
</td>
<td>Inflated<br />
</td>
<td>2.102<br />
</td>
<td>28/27 55/54 128/125<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<6 10 3 8 2 -12 -8 -21 -16 12]]<br />
</td>
<td>Nautilus<br />
</td>
<td>2.548<br />
</td>
<td>49/48 55/54 100/99<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<0 5 0 -5 8 0 -8 -14 -29 -14]]<br />
</td>
<td>Blacksmith<br />
</td>
<td>1.825<br />
</td>
<td>28/27 49/48 55/54<br />
</td>
</tr>
<tr>
<td>6<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>7<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>
</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><<6 5 3 13 14 -6 -12 0 0 -7 13 14 26 28 0]]<br />
</td>
<td>Darjeeling<br />
</td>
<td>2.300<br />
</td>
<td>49/48 55/54 66/65 77/75<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td><<3 5 9 4 2 1 6 -4 -8 7 -8 -14 -20 -28 -8]]<br />
</td>
<td>Opossum<br />
</td>
<td>1.655<br />
</td>
<td>28/27 40/39 55/54 66/65<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td><<3 0 -6 -6 -3 -7 -18 -20 -16 -14 -14 -7 4 14 12]]<br />
</td>
<td>Augene<br />
</td>
<td>2.061<br />
</td>
<td>40/39 56/55 64/63 66/65<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td><<6 10 3 8 4 2 -12 -8 -16 -21 -16 -28 12 0 -16]]<br />
</td>
<td>Belauensis<br />
</td>
<td>2.391<br />
</td>
<td>40/39 49/48 55/54 66/65<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td><<0 5 0 -5 5 8 0 -8 8 -14 -29 -7 -14 14 36]]<br />
</td>
<td>Blacksmith<br />
</td>
<td>1.777<br />
</td>
<td>28/27 40/39 49/48 55/54<br />
</td>
</tr>
<tr>
<td>6<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>7<br />
</td>
<td><<3 10 9 14 7 9 6 12 0 -7 -2 -21 8 -14 -28]]<br />
</td>
<td>Kangaroo<br />
</td>
<td>2.301<br />
</td>
<td>28/27 40/39 77/75 147/143<br />
</td>
</tr>
</table>
</body></html>