1L 7s: Difference between revisions

Revision as of 15:47, 4 November 2015

IMPORTED REVISION FROM WIKISPACES

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This revision was by author JosephRuhf and made on 2015-11-04 15:47:37 UTC.

The original revision id was 565209253.

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:

This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic pairs#Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
||||||||||~ Generator ||~   ||~   ||~ Cents ||~ Comments ||
|| 0\1 ||   ||   ||   ||   ||   ||   || 0 ||=   ||
||   ||   ||   || 1\11 ||   ||   ||   || 109.09 ||= L/s = 4 ||
||   ||   ||   ||   ||   ||   ||   || 1200/(7+pi) ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
||   ||   || 1\10 ||   ||   ||   ||   || 120 ||= L/s = 3 ||
||   ||   ||   ||   ||   ||   ||   || 1200/(7+e) ||= <span style="display: block; text-align: center;">L/s = e</span> ||
||   ||   ||   ||   || 3\29 ||   ||   || 124.14 ||   ||
||   ||   ||   ||   ||   ||   || 8\77 || 124.675 ||   ||
||   ||   ||   ||   ||   || 5\48 ||   || 125 ||   ||
||   ||   ||   || 2\19 ||   ||   ||   || 126.32 ||   ||
||   || 1\9 ||   ||   ||   ||   ||   || 133.33 ||= Boundary of propriety:
generators larger than this are proper ||
||   ||   ||   ||   ||   ||   ||   || 1200/(7+sqrt(3)) ||   ||
||   ||   ||   || 3\26 ||   ||   ||   || 138.46 ||=   ||
||   ||   ||   ||   ||   || 8\69 ||   || 139.13 ||=   ||
||   ||   ||   ||   ||   ||   || 13\112 || 139.29 ||= Golden bleu ||
||   ||   ||   ||   || 5\43 ||   ||   || 139.53 ||=   ||
||   ||   ||   ||   ||   ||   ||   || 1200/(7+pi/2) ||   ||
||   ||   || 2\17 ||   ||   ||   ||   || 141.18 ||= Bleu is around here
Optimum rank range (L/s=3/2) ||
|| 1\8 ||   ||   ||   ||   ||   ||   || 150 ||=   ||

Original HTML content:

<html><head><title>1L 7s</title></head><body>This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, <a class="wiki_link" href="/Chromatic%20pairs#Bleu">bleu</a>. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">Generator<br />
</th>
        <th><br />
</th>
        <th><br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>0\1<br />
</td>
        <td><br />
</td>
        <td><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>1\11<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109.09<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>1200/(7+pi)<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<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>1200/(7+e)<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>124.14<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\77<br />
</td>
        <td>124.675<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\48<br />
</td>
        <td><br />
</td>
        <td>125<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>126.32<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>133.33<br />
</td>
        <td style="text-align: center;">Boundary of propriety:<br />
generators larger than this are proper<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/(7+sqrt(3))<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\26<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>138.46<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>8\69<br />
</td>
        <td><br />
</td>
        <td>139.13<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\112<br />
</td>
        <td>139.29<br />
</td>
        <td style="text-align: center;">Golden bleu<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\43<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>139.53<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/(7+pi/2)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\17<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>141.18<br />
</td>
        <td style="text-align: center;">Bleu is around here<br />
Optimum rank range (L/s=3/2)<br />
</td>
    </tr>
    <tr>
        <td>1\8<br />
</td>
        <td><br />
</td>
        <td><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>

@@ 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 14:48:12 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-04 15:47:37 UTC</tt>.<br>
-: The original revision id was <tt>551970156</tt>.<br>
+: The original revision id was <tt>565209253</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: @@
 ||   ||   || 1\10 ||   ||   ||   ||   || 120 ||= L/s = 3 ||
 ||   ||   ||   ||   ||   ||   ||   || 1200/(7+e) ||= &lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt; ||
+||   ||   ||   ||   || 3\29 ||   ||   || 124.14 ||   ||
+||   ||   ||   ||   ||   ||   || 8\77 || 124.675 ||   ||
+||   ||   ||   ||   ||   || 5\48 ||   || 125 ||   ||
+||   ||   ||   || 2\19 ||   ||   ||   || 126.32 ||   ||
 ||   || 1\9 ||   ||   ||   ||   ||   || 133.33 ||= Boundary of propriety:
 generators larger than this are proper ||
+||   ||   ||   ||   ||   ||   ||   || 1200/(7+sqrt(3)) ||   ||
 ||   ||   ||   || 3\26 ||   ||   ||   || 138.46 ||=   ||
 ||   ||   ||   ||   ||   || 8\69 ||   || 139.13 ||=   ||
 ||   ||   ||   ||   ||   ||   || 13\112 || 139.29 ||= Golden bleu ||
 ||   ||   ||   ||   || 5\43 ||   ||   || 139.53 ||=   ||
+||   ||   ||   ||   ||   ||   ||   || 1200/(7+pi/2) ||   ||
 ||   ||   || 2\17 ||   ||   ||   ||   || 141.18 ||= Bleu is around here
 Optimum rank range (L/s=3/2) ||
@@ Line 137: / Line 143: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt;&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;3\29&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;124.14&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&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;8\77&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;124.675&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&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;5\48&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;125&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&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;2\19&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;126.32&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 158: / Line 244: @@
          &lt;td style="text-align: center;"&gt;Boundary of propriety:&lt;br /&gt;
 generators larger than this are proper&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;1200/(7+sqrt(3))&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 238: / Line 344: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&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;1200/(7+pi/2)&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

1L 7s: Difference between revisions

Revision as of 15:47, 4 November 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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