4L 4s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2012-11-25 20:09:23 UTC.
- The original revision id was 385876448.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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\24 || 50 || || || || || || 1\20 || || 60 ||= L/s=4: generators smaller than this are "impractical" || || || || 1\16 || || || 75 ||= L/s=3: generators smaller than this may be considered "impractical" || || || 1\12 || || || || 100 ||= Diminished is around here Optimum rank range (L/s=2/1) for MOS || || || || || 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 style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\24<br />
</td>
<td>50<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>1\20<br />
</td>
<td><br />
</td>
<td>60<br />
</td>
<td style="text-align: center;">L/s=4:<br />
generators smaller than this are "impractical"<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 style="text-align: center;">L/s=3:<br />
generators smaller than this may be considered "impractical"<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 style="text-align: center;">Diminished is around here<br />
Optimum rank range (L/s=2/1) for MOS<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 style="text-align: center;"><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 style="text-align: center;">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 style="text-align: center;"><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 style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>