7L 1s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2011-08-~~28 10~~:31:04 UTC</tt>.

: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 04:06:17 UTC</tt>.

: The original revision id was <tt>~~248894123~~</tt>.

: The original revision id was <tt>249048777</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step.

||||||||||||~ [[Generator]] ||~ [[Cent]]s ||~ Scale in [[EDO]] steps ||~ Comments ||

|| 1\7 || || || || || || 171.43 ||= 1 1 1 1 1 1 1 0 || ||

|| 1\7 || || || || || || 171.43 ||= 1 1 1 1 1 1 1 0 ||= ||

|| || || || 4\29 || || || 165.52 ||= 4 4 4 4 4 4 4 1 || ||

|| || || || 4\29 || || || 165.52 ||= 4 4 4 4 4 4 4 1 ||= ||

|| || || 3\22 || || || || 163.64 ||= 3 3 3 3 3 3 3 1 || ||

|| || || 3\22 || || || || 163.64 ||= 3 3 3 3 3 3 3 1 ||= ||

|| || || || 5\37 || || || 162.16 ||= 5 5 5 5 5 5 5 2 || Porcupine is in this general region ||

|| || || || 5\37 || || || 162.16 ||= 5 5 5 5 5 5 5 2 ||= Porcupine is in this general region ||

|| || || || || 7\52 || || 161.54 ||= 7 7 7 7 7 7 7 3 || ||

|| || || || || 7\52 || || 161.54 ||= 7 7 7 7 7 7 7 3 ||= ||

|| || 2\15 || || || || || 160 ||= 2 2 2 2 2 2 2 1 || ||

|| || 2\15 || || || || || 160 ||= 2 2 2 2 2 2 2 1 ||= Optimum rank range (L/s=2/1) porcupine ||

|| || || || 5\38 || || || 157.89 ||= 5 5 5 5 5 5 5 3 || ||

|| || || || 5\38 || || || 157.89 ||= 5 5 5 5 5 5 5 3 ||= ||

|| || || || || || 13\99 || 157.58 ||= 13 13 13 13 13 13 13 8 || Golden porcupine / golden hemikleismic ||

|| || || || || || 13\99 || 157.58 ||= 13 13 13 13 13 13 13 8 ||= Golden porcupine / golden hemikleismic ||

|| || || || || 8\61 || || 157.38 ||= 8 8 8 8 8 8 8 5 || ||

|| || || || || 8\61 || || 157.38 ||= 8 8 8 8 8 8 8 5 ||= ||

|| || || 3\23 || || || || 156.52 ||= 3 3 3 3 3 3 3 2 || ||

|| || || 3\23 || || || || 156.52 ||= 3 3 3 3 3 3 3 2 ||= ||

|| || || || || || 10\77 || 155.84 ||= 10 10 10 10 10 10 10 7 || Greely is around here ||

|| || || || || || 10\77 || 155.84 ||= 10 10 10 10 10 10 10 7 ||= Greely is around here ||

|| || || || || 7\54 || || 155.56 ||= 7 7 7 7 7 7 7 5 || ||

|| || || || || 7\54 || || 155.56 ||= 7 7 7 7 7 7 7 5 ||= ||

|| || || || 4\31 || || || 154.84 ||= 4 4 4 4 4 4 4 3 || ||

|| || || || 4\31 || || || 154.84 ||= 4 4 4 4 4 4 4 3 ||= ||

|| 1\8 || || || || || || 150 ||= 1 1 1 1 1 1 1 1 || ||</pre></div>

|| 1\8 || || || || || || 150 ||= 1 1 1 1 1 1 1 1 ||= ||</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7L 1s</title></head><body>There are two notable <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a> minima with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Porcupine%20family">porcupine</a>, in which two generators make a 6/5 and three make a 4/3. The range of porcupine tunings is about 2\15 to 3\22. Less well-known is <a class="wiki_link" href="/Chromatic%20pairs#Greeley">greely</a>, in which two generators are still 6/5 but three fall quite short of a 4/3, but the scale happens to closely approximate a lot of higher-complexity intervals like 10/7, 11/7, etc.

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<td style="text-align: center;">1 1 1 1 1 1 1 0

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">4 4 4 4 4 4 4 1

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">3 3 3 3 3 3 3 1

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">5 5 5 5 5 5 5 2

</td>

<td>Porcupine is in this general region

<td style="text-align: center;">Porcupine is in this general region

</td>

</tr>

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<td style="text-align: center;">7 7 7 7 7 7 7 3

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">2 2 2 2 2 2 2 1

</td>

<td>

<td style="text-align: center;">Optimum rank range (L/s=2/1) porcupine

</td>

</tr>

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<td style="text-align: center;">5 5 5 5 5 5 5 3

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">13 13 13 13 13 13 13 8

</td>

<td>Golden porcupine / golden hemikleismic

<td style="text-align: center;">Golden porcupine / golden hemikleismic

</td>

</tr>

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<td style="text-align: center;">8 8 8 8 8 8 8 5

</td>

<td>

</td>

</tr>

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<td style="text-align: center;">3 3 3 3 3 3 3 2

</td>

<td>

</td>

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<td style="text-align: center;">10 10 10 10 10 10 10 7

</td>

<td>Greely is around here

<td style="text-align: center;">Greely is around here

</td>

</tr>

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<td style="text-align: center;">7 7 7 7 7 7 7 5

</td>

<td>

</td>

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<td style="text-align: center;">4 4 4 4 4 4 4 3

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<td>

</td>

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<td style="text-align: center;">1 1 1 1 1 1 1 1

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<td>

</td>

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@@ 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:genewardsmith|genewardsmith]] and made on <tt>2011-08-28 10:31:04 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 04:06:17 UTC</tt>.<br>
-: The original revision id was <tt>248894123</tt>.<br>
+: The original revision id was <tt>249048777</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 10: / Line 10: @@
 Scales of this form are always [[Rothenberg propriety|proper]], because there is only one small step.
 ||||||||||||~ [[Generator]] ||~ [[Cent]]s ||~ Scale in [[EDO]] steps ||~ Comments ||
-|| 1\7 ||   ||   ||   ||   ||   || 171.43 ||= 1 1 1 1 1 1 1 0 ||   ||
+|| 1\7 ||   ||   ||   ||   ||   || 171.43 ||= 1 1 1 1 1 1 1 0 ||=   ||
-||   ||   ||   || 4\29 ||   ||   || 165.52 ||= 4 4 4 4 4 4 4 1 ||   ||
+||   ||   ||   || 4\29 ||   ||   || 165.52 ||= 4 4 4 4 4 4 4 1 ||=   ||
-||   ||   || 3\22 ||   ||   ||   || 163.64 ||= 3 3 3 3 3 3 3 1 ||   ||
+||   ||   || 3\22 ||   ||   ||   || 163.64 ||= 3 3 3 3 3 3 3 1 ||=   ||
-||   ||   ||   || 5\37 ||   ||   || 162.16 ||= 5 5 5 5 5 5 5 2 || Porcupine is in this general region ||
+||   ||   ||   || 5\37 ||   ||   || 162.16 ||= 5 5 5 5 5 5 5 2 ||= Porcupine is in this general region ||
-||   ||   ||   ||   || 7\52 ||   || 161.54 ||= 7 7 7 7 7 7 7 3 ||   ||
+||   ||   ||   ||   || 7\52 ||   || 161.54 ||= 7 7 7 7 7 7 7 3 ||=   ||
-||   || 2\15 ||   ||   ||   ||   || 160 ||= 2 2 2 2 2 2 2 1 ||   ||
+||   || 2\15 ||   ||   ||   ||   || 160 ||= 2 2 2 2 2 2 2 1 ||= Optimum rank range (L/s=2/1) porcupine ||
-||   ||   ||   || 5\38 ||   ||   || 157.89 ||= 5 5 5 5 5 5 5 3 ||   ||
+||   ||   ||   || 5\38 ||   ||   || 157.89 ||= 5 5 5 5 5 5 5 3 ||=   ||
-||   ||   ||   ||   ||   || 13\99 || 157.58 ||= 13 13 13 13 13 13 13 8 || Golden porcupine / golden hemikleismic ||
+||   ||   ||   ||   ||   || 13\99 || 157.58 ||= 13 13 13 13 13 13 13 8 ||= Golden porcupine / golden hemikleismic ||
-||   ||   ||   ||   || 8\61 ||   || 157.38 ||= 8 8 8 8 8 8 8 5 ||   ||
+||   ||   ||   ||   || 8\61 ||   || 157.38 ||= 8 8 8 8 8 8 8 5 ||=   ||
-||   ||   || 3\23 ||   ||   ||   || 156.52 ||= 3 3 3 3 3 3 3 2 ||   ||
+||   ||   || 3\23 ||   ||   ||   || 156.52 ||= 3 3 3 3 3 3 3 2 ||=   ||
-||   ||   ||   ||   ||   || 10\77 || 155.84 ||= 10 10 10 10 10 10 10 7 || Greely is around here ||
+||   ||   ||   ||   ||   || 10\77 || 155.84 ||= 10 10 10 10 10 10 10 7 ||= Greely is around here ||
-||   ||   ||   ||   || 7\54 ||   || 155.56 ||= 7 7 7 7 7 7 7 5 ||   ||
+||   ||   ||   ||   || 7\54 ||   || 155.56 ||= 7 7 7 7 7 7 7 5 ||=   ||
-||   ||   ||   || 4\31 ||   ||   || 154.84 ||= 4 4 4 4 4 4 4 3 ||   ||
+||   ||   ||   || 4\31 ||   ||   || 154.84 ||= 4 4 4 4 4 4 4 3 ||=   ||
-|| 1\8 ||   ||   ||   ||   ||   || 150 ||= 1 1 1 1 1 1 1 1 ||   ||</pre></div>
+|| 1\8 ||   ||   ||   ||   ||   || 150 ||= 1 1 1 1 1 1 1 1 ||=   ||</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;7L 1s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable &lt;a class="wiki_link" href="/harmonic%20entropy"&gt;harmonic entropy&lt;/a&gt; minima with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Porcupine%20family"&gt;porcupine&lt;/a&gt;, in which two generators make a 6/5 and three make a 4/3. The range of porcupine tunings is about 2\15 to 3\22. Less well-known is &lt;a class="wiki_link" href="/Chromatic%20pairs#Greeley"&gt;greely&lt;/a&gt;, in which two generators are still 6/5 but three fall quite short of a 4/3, but the scale happens to closely approximate a lot of higher-complexity intervals like 10/7, 11/7, etc.&lt;br /&gt;
@@ Line 58: / Line 58: @@
          &lt;td style="text-align: center;"&gt;1 1 1 1 1 1 1 0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 78: / Line 78: @@
          &lt;td style="text-align: center;"&gt;4 4 4 4 4 4 4 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
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@@ Line 98: / Line 98: @@
          &lt;td style="text-align: center;"&gt;3 3 3 3 3 3 3 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 118: / Line 118: @@
          &lt;td style="text-align: center;"&gt;5 5 5 5 5 5 5 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Porcupine is in this general region&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Porcupine is in this general region&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 138: / Line 138: @@
          &lt;td style="text-align: center;"&gt;7 7 7 7 7 7 7 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td style="text-align: center;"&gt;2 2 2 2 2 2 2 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=2/1) porcupine&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 178: / Line 178: @@
          &lt;td style="text-align: center;"&gt;5 5 5 5 5 5 5 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 198: / Line 198: @@
          &lt;td style="text-align: center;"&gt;13 13 13 13 13 13 13 8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Golden porcupine / golden hemikleismic&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Golden porcupine / golden hemikleismic&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td style="text-align: center;"&gt;8 8 8 8 8 8 8 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td style="text-align: center;"&gt;3 3 3 3 3 3 3 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td style="text-align: center;"&gt;10 10 10 10 10 10 10 7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Greely is around here&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Greely is around here&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td style="text-align: center;"&gt;7 7 7 7 7 7 7 5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
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          &lt;td style="text-align: center;"&gt;4 4 4 4 4 4 4 3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
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          &lt;td style="text-align: center;"&gt;1 1 1 1 1 1 1 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;