3L 2s: Difference between revisions

Revision as of 22:03, 10 February 2015

IMPORTED REVISION FROM WIKISPACES

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This revision was by author JosephRuhf and made on 2015-02-10 22:03:36 UTC.

The original revision id was 540544628.

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 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 ||
||   ||   ||   ||   ||   ||   ||   || 436.09 || 108.29 || 219.55 ||= <span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span> ||
||   ||   || 4\11 ||   ||   ||   ||   || 436.36 || 109.09 || 218.18 ||= L/s = 3 ||
||   ||   ||   ||   ||   ||   ||   || 436.64 || 109.92 || 216.80 ||= <span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span> ||
||   ||   ||   || 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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>436.09<br />
</td>
        <td>108.29<br />
</td>
        <td>219.55<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span><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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>436.64<br />
</td>
        <td>109.92<br />
</td>
        <td>216.80<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span><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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-11-24 13:06:00 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-10 22:03:36 UTC</tt>.<br>
-: The original revision id was <tt>385546264</tt>.<br>
+: The original revision id was <tt>540544628</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 13: / Line 13: @@
 ||   ||   ||   ||   ||   || 11\31 ||   || 425.81 || 77.42 || 270.97 ||=   ||
 ||   ||   ||   || 5\14 ||   ||   ||   || 428.57 || 85.71 || 257.14 ||= L/s = 4 ||
+||   ||   ||   ||   ||   ||   ||   || 436.09 || 108.29 || 219.55 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt; ||
 ||   ||   || 4\11 ||   ||   ||   ||   || 436.36 || 109.09 || 218.18 ||= L/s = 3 ||
+||   ||   ||   ||   ||   ||   ||   || 436.64 || 109.92 || 216.80 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt; ||
 ||   ||   ||   || 7\19 ||   ||   ||   || 442.11 || 126.32 || 189.47 ||= [[Sensi]] is around here ||
 ||   || 3\8 ||   ||   ||   ||   ||   || 450 || 150 || 150 ||= Boundary of propriety (larger
@@ Line 162: / Line 164: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;436.09&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;108.29&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;219.55&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 186: / Line 212: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;L/s = 3&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;436.64&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;109.92&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;216.80&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

3L 2s: Difference between revisions

Revision as of 22:03, 10 February 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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