3L 2s
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- This revision was by author keenanpepper and made on 2012-11-24 13:06:00 UTC.
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Original Wikitext content:
The only notable low-harmonic-entropy scale for this [[MOSScales|MOS]] pattern is [[Sensipent family|sensi]], in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper. ||||||||||||||~ Generator ||~ Cents ||~ s ||~ L-s ||~ Comments || || 1\3 || || || || || || || 400 || 0 || 400 ||= || || || || || || 6\17 || || || 423.53 || 70.59 || 282.35 ||= [[Skwares]] is around here || || || || || || || || 17\48 || 425 || 75 || 275 ||= [[Squares]] is around here || || || || || || || 11\31 || || 425.81 || 77.42 || 270.97 ||= || || || || || 5\14 || || || || 428.57 || 85.71 || 257.14 ||= L/s = 4 || || || || 4\11 || || || || || 436.36 || 109.09 || 218.18 ||= L/s = 3 || || || || || 7\19 || || || || 442.11 || 126.32 || 189.47 ||= [[Sensi]] is around here || || || 3\8 || || || || || || 450 || 150 || 150 ||= Boundary of propriety (larger generators than this are proper) || || || || || 8\21 || || || || 457.14 || 171.43 || 114.29 ||= || || || || || || || 21\55 || || 458.18 || 174.55 || 109.09 ||= || || || || || || || || || 1200/(1+phi) || 175.08 || 108.20 ||= Golden [[father]] || || || || || || 13\34 || || || 458.82 || 176.47 || 105.88 ||= || || || || 5\13 || || || || || 461.54 || 184.62 || 92.31 ||= Optimum rank range (L/s=3/2) father || || || || || 7\18 || || || || 466.67 || 200 || 66.67 ||= || || || || || || 9\23 || || || 469.57 || 208.70 || 52.17 ||= || || || || || || || 11\28 || || 471.43 || 214.29 || 42.86 ||= || || || || || || || || 13\33 || 472.73 || 218.18 || 36.36 ||= Slendro-like scales in this region || || 2\5 || || || || || || || 480 || 240 || 0 ||= ||
Original HTML content:
<html><head><title>3L 2s</title></head><body>The only notable low-harmonic-entropy scale for this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/Sensipent%20family">sensi</a>, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.<br />
<table class="wiki_table">
<tr>
<th colspan="7">Generator<br />
</th>
<th>Cents<br />
</th>
<th>s<br />
</th>
<th>L-s<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>1\3<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>400<br />
</td>
<td>0<br />
</td>
<td>400<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>6\17<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>423.53<br />
</td>
<td>70.59<br />
</td>
<td>282.35<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/Skwares">Skwares</a> 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>17\48<br />
</td>
<td>425<br />
</td>
<td>75<br />
</td>
<td>275<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/Squares">Squares</a> is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11\31<br />
</td>
<td><br />
</td>
<td>425.81<br />
</td>
<td>77.42<br />
</td>
<td>270.97<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5\14<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>428.57<br />
</td>
<td>85.71<br />
</td>
<td>257.14<br />
</td>
<td style="text-align: center;">L/s = 4<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>4\11<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>218.18<br />
</td>
<td style="text-align: center;">L/s = 3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>442.11<br />
</td>
<td>126.32<br />
</td>
<td>189.47<br />
</td>
<td style="text-align: center;"><a class="wiki_link" href="/Sensi">Sensi</a> is around here<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>3\8<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>450<br />
</td>
<td>150<br />
</td>
<td>150<br />
</td>
<td style="text-align: center;">Boundary of propriety (larger<br />
generators than this are proper)<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8\21<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>457.14<br />
</td>
<td>171.43<br />
</td>
<td>114.29<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>21\55<br />
</td>
<td><br />
</td>
<td>458.18<br />
</td>
<td>174.55<br />
</td>
<td>109.09<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>1200/(1+phi)<br />
</td>
<td>175.08<br />
</td>
<td>108.20<br />
</td>
<td style="text-align: center;">Golden <a class="wiki_link" href="/father">father</a><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13\34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>458.82<br />
</td>
<td>176.47<br />
</td>
<td>105.88<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5\13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>461.54<br />
</td>
<td>184.62<br />
</td>
<td>92.31<br />
</td>
<td style="text-align: center;">Optimum rank range (L/s=3/2) father<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7\18<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>466.67<br />
</td>
<td>200<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>9\23<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>469.57<br />
</td>
<td>208.70<br />
</td>
<td>52.17<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>11\28<br />
</td>
<td><br />
</td>
<td>471.43<br />
</td>
<td>214.29<br />
</td>
<td>42.86<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>13\33<br />
</td>
<td>472.73<br />
</td>
<td>218.18<br />
</td>
<td>36.36<br />
</td>
<td style="text-align: center;">Slendro-like scales in this region<br />
</td>
</tr>
<tr>
<td>2\5<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>480<br />
</td>
<td>240<br />
</td>
<td>0<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>