2L 6s
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Original Wikitext content:
Two notable harmonic entropy minima for this [[MOSScales|MOS]] pattern are [[Diaschismic family|srutal/pajara]] and shrutar. They are both improper. As for proper scales, I can't think of any. In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals. ||||||||||||||||||||~ Generator ||~ Cents ||~ Comments || || 0\2 || || || || || || || || || || 0 ||= || || || || || || || || || || || 1\26 || 46.15 || || || || || || || || || || || 1\24 || || 50 ||= || || || || || || || || || || || 2\46 || 52.17 ||= Shrutar is around here || || || || || || || || || 1\22 || || || 54.55 ||= || || || || || || || || 1\20 || || || || 60 ||= || || || || || || || 1\18 || || || || || 66.67 ||= || || || || || || 1\16 || || || || || || 75 ||= || || || || || 1\14 || || || || || || || 85.71 ||= L/s = 4 || || || || || || || || || || || || 600/(3+pi) ||= <span style="display: block; text-align: center;">L/s = pi</span> || || || || 1\12 || || || || || || || || 100 ||= L/s = 3 || || || || || || || || || || || || 600/(3+e) ||= <span style="display: block; text-align: center;">L/s = e</span> || || || || || || 3\34 || || || || || || 105.88 ||= Srutal/Pajara is around here || || || || || || || || 8\90 || || || || 106.67 || || || || || || || || || || || 21\236 || || 106.78 || || || || || || || || || || || || 34\382 || 106.81 || || || || || || || || || || 13\146 || || || 106.85 || || || || || || || || 5\56 || || || || || 107.14 || || || || || || 2\22 || || || || || || || 109.09 ||= || || || 1\10 || || || || || || || || || 120 ||= Boundary of propriety (generators larger than this are proper) || || || || || || || || || || || || 600/(3+sqrt(3)) || || || || || || 3\28 || || || || || || || 128.57 ||= Supersharp || || || || || || || 8\74 || || || || || 129.73 ||= Supersharp || || || || || || || || || 21\194 || || || 129.9 || || || || || || || || || || || || 55\508 || 129.92 ||= Unnamed golden temperament || || || || || || || || || || 34\314 || || 129.94 || || || || || || || || || 13\120 || || || || 130 ||= || || || || || || 5\46 || || || || || || 130.43 ||= Twothirdtonic || || || || || || || || || || || || 600/(3+pi/2) || || || || || 2\18 || || || || || || || || 133.33 ||= Optimum rank range (L/s=3/2) || || 1\8 || || || || || || || || || || 150 ||= ||
Original HTML content:
<html><head><title>2L 6s</title></head><body>Two notable harmonic entropy minima for this <a class="wiki_link" href="/MOSScales">MOS</a> pattern are <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a> and shrutar. They are both improper. As for proper scales, I can't think of any.<br />
<br />
In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.<br />
<table class="wiki_table">
<tr>
<th colspan="10">Generator<br />
</th>
<th>Cents<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>0\2<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><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><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\26<br />
</td>
<td>46.15<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\24<br />
</td>
<td><br />
</td>
<td>50<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><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2\46<br />
</td>
<td>52.17<br />
</td>
<td style="text-align: center;">Shrutar is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\22<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>54.55<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><br />
</td>
<td>1\20<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>60<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>1\18<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>66.67<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\16<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>75<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\14<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>85.71<br />
</td>
<td style="text-align: center;">L/s = 4<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>600/(3+pi)<br />
</td>
<td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>1\12<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>100<br />
</td>
<td style="text-align: center;">L/s = 3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>600/(3+e)<br />
</td>
<td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>105.88<br />
</td>
<td style="text-align: center;">Srutal/Pajara is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\90<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>106.67<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21\236<br />
</td>
<td><br />
</td>
<td>106.78<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>34\382<br />
</td>
<td>106.81<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13\146<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>106.85<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\56<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>107.14<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2\22<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>109.09<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>1\10<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>120<br />
</td>
<td style="text-align: center;">Boundary of propriety<br />
(generators larger than this are proper)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>600/(3+sqrt(3))<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3\28<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>128.57<br />
</td>
<td style="text-align: center;">Supersharp<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\74<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>129.73<br />
</td>
<td style="text-align: center;">Supersharp<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21\194<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>129.9<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>55\508<br />
</td>
<td>129.92<br />
</td>
<td style="text-align: center;">Unnamed golden temperament<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>34\314<br />
</td>
<td><br />
</td>
<td>129.94<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13\120<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>130<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\46<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>130.43<br />
</td>
<td style="text-align: center;">Twothirdtonic<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>600/(3+pi/2)<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>2\18<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>133.33<br />
</td>
<td style="text-align: center;">Optimum rank range (L/s=3/2)<br />
</td>
</tr>
<tr>
<td>1\8<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>150<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>