4L 4s
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The minimum harmonic entropy scale with this [[MOSScales|MOS]] pattern is [[Jubilismic clan|diminished]][8], basically the familiar [[Octatonic scale|octatonic scale]] of 12edo. There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.) ||||||||||~ Generator ||~ Cents ||~ Comments || || 0\4 || || || || || 0 || || || || || 1\16 || || || 75 || || || || 1\12 || || || || 100 || Diminished is around here || || || || || 3\32 || || 112.5 || || || || || || || 5\52 || 115.38 || Golden diminished || || || || 2\20 || || || 120 || || || 1\8 || || || || || 150 || ||
Original HTML content:
<html><head><title>4L 4s</title></head><body>The minimum harmonic entropy scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/Jubilismic%20clan">diminished</a>[8], basically the familiar <a class="wiki_link" href="/Octatonic%20scale">octatonic scale</a> of 12edo.<br /> <br /> There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)<br /> <table class="wiki_table"> <tr> <th colspan="5">Generator<br /> </th> <th>Cents<br /> </th> <th>Comments<br /> </th> </tr> <tr> <td>0\4<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>0<br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td>1\16<br /> </td> <td><br /> </td> <td><br /> </td> <td>75<br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td>1\12<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>100<br /> </td> <td>Diminished is around here<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>3\32<br /> </td> <td><br /> </td> <td>112.5<br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>5\52<br /> </td> <td>115.38<br /> </td> <td>Golden diminished<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td>2\20<br /> </td> <td><br /> </td> <td><br /> </td> <td>120<br /> </td> <td><br /> </td> </tr> <tr> <td>1\8<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>150<br /> </td> <td><br /> </td> </tr> </table> </body></html>