11L 3s
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Original Wikitext content:
=<span style="color: #800061; font-size: 103%;">The Ketradektriatoh Scale</span>= This is a type of scale which denotes the use of a scale placed between [[11edo|11]] and [[14edo|14]] ED2's, employing a ratio generator between 41/32 ~ 9/7 (being [[25edo|25-ED2]] the middle size of the Ketradektriatoh spectrum, in the 2;1 relation), resulting in a variant of tetradecatonic scale comforms by this scheme: LLLsLLLLsLLLLs. __**ED2s that contains this scale:**__ **2 2 2 1 2 2 2 2 1 2 2 2 2 1: [[25edo|25]]** 3 3 3 1 3 3 3 3 1 3 3 3 3 1: [[36edo|36]] **3 3 3 2 3 3 3 3 2 3 3 3 3 2: [[39edo|39]]** **4 4 4 1 4 4 4 4 1 4 4 4 4 1: [[47edo|47]]** 4 4 4 2 4 4 4 4 2 4 4 4 4 2: [[50edo|50]] **4 4 4 3 4 4 4 4 3 4 4 4 4 3: [[53edo|53]]** 5 5 5 2 5 5 5 5 2 5 5 5 5 2: [[61edo|61]] 5 5 5 3 5 5 5 5 3 5 5 5 5 3: [[64edo|64]] 7 7 7 2 7 7 7 7 2 7 7 7 7 2: [[83edo|83]] 7 7 7 3 7 7 7 7 3 7 7 7 7 3: [[86edo|86]] 7 7 7 4 7 7 7 7 4 7 7 7 7 4: [[89edo|89]] 7 7 7 5 7 7 7 7 5 7 7 7 7 5: [[92edo|92]] 9 9 9 4 9 9 9 9 4 9 9 9 9 4: [[111edo|111]] 9 9 9 5 9 9 9 9 5 9 9 9 9 5: [[114edo|114]] 11 11 11 4 11 11 11 11 4 11 11 11 11 4: [[133edo|133]] 11 11 11 5 11 11 11 11 5 11 11 11 11 5: [[136edo|136]] 11 11 11 6 11 11 11 11 6 11 11 11 11 6: [[139edo|139]] 11 11 11 7 11 11 11 11 7 11 11 11 11 7: [[142edo|142]] 13 13 13 5 13 13 13 13 5 13 13 13 13 5: [[158edo|158]] 13 13 13 6 13 13 13 13 6 13 13 13 13 6: [[161edo|161]] 13 13 13 7 13 13 13 13 7 13 13 13 13 7: [[164edo|164]] 13 13 13 8 13 13 13 13 8 13 13 13 13 8: [[167edo|167]] || 4/11 || || || || || || 436.36: || 109.09 || 0 ||= || || || || || || || 25/69 || 434.78261 || 104.34783 || 17.39131 || || || || || || || 21/58 || || 434.48276 || 103.44828 || 22.03848 || || || || || || || || 38/105 || 434.28571 || 102.85714 || 22.85714 || || || || || || 17/47 || || || 434.04255 || 102.12766 || 25.53191 || || || || || || || || 47/130 || 433.84615 || 101.53846 || 28.6938 || || || || || || || 30/83 || || 433.73494 || 101.20842 || 28.91566 || || || || || || || || 43/119 || 433.61345 || 100.84034 || 30.2521 || || || || || 13/36 || || || || 433.3: || 100 || 33.3: || || || || || || || || 48/133 || 433.08271 || 99.24812 || 36.09023 || || || || || || || 35/97 || || 432.98969 || 98.96907 || 37.1134 || || || || || || || || 57/158 || 432.91139 || 98.73418 || 37.97468 || || || || || || 22/61 || || || 432.78689 || 98.36066 || 39.34426 || || || || || || || || 53/147 || 432.65306 || 97.95918 || 40.81633 || || || || || || || 31/86 || || 432.55814 || 97.67442 || 41.86047 || || || || || || || || 40/111 || 432.432: || 97.297: || 43.135: || || || || 9/25 || || || || || 432 || 96 || 48 ||= Boundary of propriety; generators smaller than this are proper || || || || || || || 41/114 || 431.57895 || 94.73684 || 52.63158 || || || || || || || 32/89 || || 431.46067 || 94.38202 || 53.93258 || || || || || || || || 55/153 || 431.37255 || 94.11765 || 54.90196 || || || || || || 23/64 || || || 431.25 || 93.75 || 56.25 || || || || || || || || 60/167 || || || || || || || || || || 37/103 || || 431.06796 || 93.20388 || 59.25263 || || || || || || || || 51/142 || || || || || || || || 14/39 || || || || 430.76923 || 92.30769 || 61.53846 || || || || || || || || 47/131 || || || || || || || || || || 33/92 || || 430.43478 || 91.30435 || 65.21739 || || || || || || || || 52/145 || || || || || || || || || 19/53 || || || 430.18868 || 90.56604 || 67.92453 || || || || || || || || 43/120 || || || || || || || || || || 24/67 || || 429.85075 || 89.55224 || 71.64179 || || || || || || || || 29/81 || || || || || || 5/14 || || || || || || 428.57143 || 85.714285: || 85.714285: ||= ||
Original HTML content:
<html><head><title>11L 3s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="The Ketradektriatoh Scale"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #800061; font-size: 103%;">The Ketradektriatoh Scale</span></h1>
<br />
This is a type of scale which denotes the use of a scale placed between <a class="wiki_link" href="/11edo">11</a> and <a class="wiki_link" href="/14edo">14</a> ED2's, employing a ratio generator between 41/32 ~ 9/7 (being <a class="wiki_link" href="/25edo">25-ED2</a> the middle size of the Ketradektriatoh spectrum, in the 2;1 relation), resulting in a variant of tetradecatonic scale comforms by this scheme: LLLsLLLLsLLLLs.<br />
<br />
<u><strong>ED2s that contains this scale:</strong></u><br />
<br />
<strong>2 2 2 1 2 2 2 2 1 2 2 2 2 1: <a class="wiki_link" href="/25edo">25</a></strong><br />
3 3 3 1 3 3 3 3 1 3 3 3 3 1: <a class="wiki_link" href="/36edo">36</a><br />
<strong>3 3 3 2 3 3 3 3 2 3 3 3 3 2: <a class="wiki_link" href="/39edo">39</a></strong><br />
<br />
<strong>4 4 4 1 4 4 4 4 1 4 4 4 4 1: <a class="wiki_link" href="/47edo">47</a></strong><br />
4 4 4 2 4 4 4 4 2 4 4 4 4 2: <a class="wiki_link" href="/50edo">50</a><br />
<strong>4 4 4 3 4 4 4 4 3 4 4 4 4 3: <a class="wiki_link" href="/53edo">53</a></strong><br />
<br />
5 5 5 2 5 5 5 5 2 5 5 5 5 2: <a class="wiki_link" href="/61edo">61</a><br />
5 5 5 3 5 5 5 5 3 5 5 5 5 3: <a class="wiki_link" href="/64edo">64</a><br />
<br />
7 7 7 2 7 7 7 7 2 7 7 7 7 2: <a class="wiki_link" href="/83edo">83</a><br />
7 7 7 3 7 7 7 7 3 7 7 7 7 3: <a class="wiki_link" href="/86edo">86</a><br />
7 7 7 4 7 7 7 7 4 7 7 7 7 4: <a class="wiki_link" href="/89edo">89</a><br />
7 7 7 5 7 7 7 7 5 7 7 7 7 5: <a class="wiki_link" href="/92edo">92</a><br />
<br />
9 9 9 4 9 9 9 9 4 9 9 9 9 4: <a class="wiki_link" href="/111edo">111</a><br />
9 9 9 5 9 9 9 9 5 9 9 9 9 5: <a class="wiki_link" href="/114edo">114</a><br />
<br />
11 11 11 4 11 11 11 11 4 11 11 11 11 4: <a class="wiki_link" href="/133edo">133</a><br />
11 11 11 5 11 11 11 11 5 11 11 11 11 5: <a class="wiki_link" href="/136edo">136</a><br />
11 11 11 6 11 11 11 11 6 11 11 11 11 6: <a class="wiki_link" href="/139edo">139</a><br />
11 11 11 7 11 11 11 11 7 11 11 11 11 7: <a class="wiki_link" href="/142edo">142</a><br />
<br />
13 13 13 5 13 13 13 13 5 13 13 13 13 5: <a class="wiki_link" href="/158edo">158</a><br />
13 13 13 6 13 13 13 13 6 13 13 13 13 6: <a class="wiki_link" href="/161edo">161</a><br />
13 13 13 7 13 13 13 13 7 13 13 13 13 7: <a class="wiki_link" href="/164edo">164</a><br />
13 13 13 8 13 13 13 13 8 13 13 13 13 8: <a class="wiki_link" href="/167edo">167</a><br />
<br />
<table class="wiki_table">
<tr>
<td>4/11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>436.36:<br />
</td>
<td>109.09<br />
</td>
<td>0<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/69<br />
</td>
<td>434.78261<br />
</td>
<td>104.34783<br />
</td>
<td>17.39131<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/58<br />
</td>
<td><br />
</td>
<td>434.48276<br />
</td>
<td>103.44828<br />
</td>
<td>22.03848<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>38/105<br />
</td>
<td>434.28571<br />
</td>
<td>102.85714<br />
</td>
<td>22.85714<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/47<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>434.04255<br />
</td>
<td>102.12766<br />
</td>
<td>25.53191<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/130<br />
</td>
<td>433.84615<br />
</td>
<td>101.53846<br />
</td>
<td>28.6938<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>30/83<br />
</td>
<td><br />
</td>
<td>433.73494<br />
</td>
<td>101.20842<br />
</td>
<td>28.91566<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/119<br />
</td>
<td>433.61345<br />
</td>
<td>100.84034<br />
</td>
<td>30.2521<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>13/36<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>433.3:<br />
</td>
<td>100<br />
</td>
<td>33.3:<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>48/133<br />
</td>
<td>433.08271<br />
</td>
<td>99.24812<br />
</td>
<td>36.09023<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>35/97<br />
</td>
<td><br />
</td>
<td>432.98969<br />
</td>
<td>98.96907<br />
</td>
<td>37.1134<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>57/158<br />
</td>
<td>432.91139<br />
</td>
<td>98.73418<br />
</td>
<td>37.97468<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>22/61<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>432.78689<br />
</td>
<td>98.36066<br />
</td>
<td>39.34426<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>53/147<br />
</td>
<td>432.65306<br />
</td>
<td>97.95918<br />
</td>
<td>40.81633<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/86<br />
</td>
<td><br />
</td>
<td>432.55814<br />
</td>
<td>97.67442<br />
</td>
<td>41.86047<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>40/111<br />
</td>
<td>432.432:<br />
</td>
<td>97.297:<br />
</td>
<td>43.135:<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/25<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>432<br />
</td>
<td>96<br />
</td>
<td>48<br />
</td>
<td style="text-align: center;">Boundary of propriety;<br />
generators smaller than this are proper<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/114<br />
</td>
<td>431.57895<br />
</td>
<td>94.73684<br />
</td>
<td>52.63158<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/89<br />
</td>
<td><br />
</td>
<td>431.46067<br />
</td>
<td>94.38202<br />
</td>
<td>53.93258<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>55/153<br />
</td>
<td>431.37255<br />
</td>
<td>94.11765<br />
</td>
<td>54.90196<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/64<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>431.25<br />
</td>
<td>93.75<br />
</td>
<td>56.25<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>60/167<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/103<br />
</td>
<td><br />
</td>
<td>431.06796<br />
</td>
<td>93.20388<br />
</td>
<td>59.25263<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>51/142<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>14/39<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>430.76923<br />
</td>
<td>92.30769<br />
</td>
<td>61.53846<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/131<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/92<br />
</td>
<td><br />
</td>
<td>430.43478<br />
</td>
<td>91.30435<br />
</td>
<td>65.21739<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>52/145<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/53<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>430.18868<br />
</td>
<td>90.56604<br />
</td>
<td>67.92453<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/120<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24/67<br />
</td>
<td><br />
</td>
<td>429.85075<br />
</td>
<td>89.55224<br />
</td>
<td>71.64179<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>29/81<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>5/14<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>428.57143<br />
</td>
<td>85.714285:<br />
</td>
<td>85.714285:<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>