3L 2s
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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 || || || || || 4\11 || || || || || 436.36 || 109.09 || 218.18 ||= || || || || || 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 || || ||= || || || || || || || 21\55 || || 458.18 || || ||= || || || || || || || || || 1200/(1+phi) || 175.08 || 108.20 ||= Golden [[father]] || || || || || || 13\34 || || || 458.82 || || ||= || || || || 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 || || ||= 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><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><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;"><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><br /> </td> <td><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><br /> </td> <td><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><br /> </td> <td><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><br /> </td> <td><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>