5L 4s: Difference between revisions

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 12:22:48 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-28 13:26:10 UTC</tt>.<br>

: The original revision id was <tt>~~248907069~~</tt>.<br>

: The original revision id was <tt>248914101</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>

<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval), so two of them make a [[4_3|4/3]]. However, in addition to ~~the 5's~~ (tempering out 81/80) and ~~no-5's versions of godzilla~~, there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.

<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;white-space: pre-wrap ! important" class="old-revision-html">The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval), so two of them make a [[4_3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic pairs#semiphore|semiphore]], there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.

||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||

|| 1\5 || || || || || || || || || || || 240 ||= ||

Line 16:

|| || || || || || 7\34 || || || || || || 247.06 ||= ||

|| || || || || 6\29 || || || || || || || 248.28 ||= ||

|| || || || || || 11\53 || || || || || || 249.06 ||= ~~No-5's semaphore (not~~

|| || || || || || 11\53 || || || || || || 249.06 ||= Semiphore is around here ||

~~tempering out 81/80)~~ is around here ||

|| || || || 5\24 || || || || || || || || 250 ||= ||

|| || || 4\19 || || || || || || || || || 252.63 ||= ~~Meantone-style semaphore~~

|| || || 4\19 || || || || || || || || || 252.63 ||= Godzilla is around here ||

~~(tempering out 81/80)~~ is around here ||

|| || 3\14 || || || || || || || || || || 257.14 ||= Boundary of propriety (generators

larger than this are proper) ||

Line 29:

Line 27:

|| 2\9 || || || || || || || || || || || 266.67 ||= ||</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>5L 4s</title></head><body>The familiar harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/meantone%20family#Godzilla">godzilla</a>, in which a generator is <a class="wiki_link" href="/8_7">8/7</a> or <a class="wiki_link" href="/7_6">7/6</a> (tempered to be the same interval), so two of them make a <a class="wiki_link" href="/4_3">4/3</a>. However, in addition to ~~the 5's~~ (tempering out 81/80) and ~~no-5's versions of godzilla~~, there is also a weird scale called &quot;<a class="wiki_link" href="/pseudo-semaphore">pseudo-semaphore</a>&quot;, in which two different flavors of <a class="wiki_link" href="/3_2">3/2</a> exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.<br />

<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>5L 4s</title></head><body>The familiar harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/meantone%20family#Godzilla">godzilla</a>, in which a generator is <a class="wiki_link" href="/8_7">8/7</a> or <a class="wiki_link" href="/7_6">7/6</a> (tempered to be the same interval), so two of them make a <a class="wiki_link" href="/4_3">4/3</a>. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament <a class="wiki_link" href="/Chromatic%20pairs#semiphore">semiphore</a>, there is also a weird scale called &quot;<a class="wiki_link" href="/pseudo-semaphore">pseudo-semaphore</a>&quot;, in which two different flavors of <a class="wiki_link" href="/3_2">3/2</a> exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.<br />

Line 290:

Line 288:

</td>

<td style="text-align: center;">~~No-5's semaphore (not<br />~~

<td style="text-align: center;">Semiphore is around here<br />

~~tempering out 81/80)~~ is around here<br />

</td>

</tr>

Line 347:

Line 344:

</td>

<td style="text-align: center;">~~Meantone-style semaphore<br />~~

<td style="text-align: center;">Godzilla is around here<br />

~~(tempering out 81/80)~~ is around here<br />

</td>

</tr>

@@ 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 12:22:48 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-28 13:26:10 UTC</tt>.<br>
-: The original revision id was <tt>248907069</tt>.<br>
+: The original revision id was <tt>248914101</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval), so two of them make a [[4_3|4/3]]. However, in addition to the 5's (tempering out 81/80) and no-5's versions of godzilla, there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.
+<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;white-space: pre-wrap ! important" class="old-revision-html">The familiar harmonic entropy minimum with this MOS pattern is [[meantone family#Godzilla|godzilla]], in which a generator is [[8_7|8/7]] or [[7_6|7/6]] (tempered to be the same interval), so two of them make a [[4_3|4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[Chromatic pairs#semiphore|semiphore]], there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3_2|3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.
 ||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
 || 1\5 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 240 ||=   ||
@@ Line 16: / Line 16: @@
 ||   ||   ||   ||   ||   || 7\34 ||   ||   ||   ||   ||   || 247.06 ||=   ||
 ||   ||   ||   ||   || 6\29 ||   ||   ||   ||   ||   ||   || 248.28 ||=   ||
-||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.06 ||= No-5's semaphore (not
+||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.06 ||= Semiphore is around here ||
-tempering out 81/80) is around here ||
 ||   ||   ||   || 5\24 ||   ||   ||   ||   ||   ||   ||   || 250 ||=   ||
-||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.63 ||= Meantone-style semaphore
+||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.63 ||= Godzilla is around here ||
-(tempering out 81/80) is around here ||
 ||   || 3\14 ||   ||   ||   ||   ||   ||   ||   ||   ||   || 257.14 ||= Boundary of propriety (generators
 larger than this are proper) ||
@@ Line 29: / Line 27: @@
 || 2\9 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 266.67 ||=   ||</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;5L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The familiar harmonic entropy minimum with this MOS pattern is &lt;a class="wiki_link" href="/meantone%20family#Godzilla"&gt;godzilla&lt;/a&gt;, in which a generator is &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; or &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; (tempered to be the same interval), so two of them make a &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;. However, in addition to the 5's (tempering out 81/80) and no-5's versions of godzilla, there is also a weird scale called &amp;quot;&lt;a class="wiki_link" href="/pseudo-semaphore"&gt;pseudo-semaphore&lt;/a&gt;&amp;quot;, in which two different flavors of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.&lt;br /&gt;
+<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;5L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The familiar harmonic entropy minimum with this MOS pattern is &lt;a class="wiki_link" href="/meantone%20family#Godzilla"&gt;godzilla&lt;/a&gt;, in which a generator is &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt; or &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; (tempered to be the same interval), so two of them make a &lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament &lt;a class="wiki_link" href="/Chromatic%20pairs#semiphore"&gt;semiphore&lt;/a&gt;, there is also a weird scale called &amp;quot;&lt;a class="wiki_link" href="/pseudo-semaphore"&gt;pseudo-semaphore&lt;/a&gt;&amp;quot;, in which two different flavors of &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2.&lt;br /&gt;
@@ Line 290: / Line 288: @@
          &lt;td&gt;249.06&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;No-5's semaphore (not&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Semiphore is around here&lt;br /&gt;
-tempering out 81/80) is around here&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 347: / Line 344: @@
          &lt;td&gt;252.63&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Meantone-style semaphore&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Godzilla is around here&lt;br /&gt;
-(tempering out 81/80) is around here&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;