5L 4s: Difference between revisions

Revision as of 03:21, 12 May 2011

IMPORTED REVISION FROM WIKISPACES

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This revision was by author xenwolf and made on 2011-05-12 03:21:45 UTC.

The original revision id was 227758804.

The revision comment was: links to intervals

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Original Wikitext content:

The familiar harmonic entropy minimum with this MOS pattern is [[Semaphore family|semaphore]], 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 semaphore, 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 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 12\59 || 244.07 ||= Pseudo-semaphore is around here ||
||   ||   ||   ||   ||   ||   ||   ||   ||   || 11\54 ||   || 244.44 ||=   ||
||   ||   ||   ||   ||   ||   ||   ||   || 10\49 ||   ||   || 244.90 ||=   ||
||   ||   ||   ||   ||   ||   ||   || 9\44 ||   ||   ||   || 245.45 ||=   ||
||   ||   ||   ||   ||   ||   || 8\39 ||   ||   ||   ||   || 246.15 ||=   ||
||   ||   ||   ||   ||   || 7\34 ||   ||   ||   ||   ||   || 247.06 ||=   ||
||   ||   ||   ||   || 6\29 ||   ||   ||   ||   ||   ||   || 248.28 ||=   ||
||   ||   ||   ||   ||   || 11\53 ||   ||   ||   ||   ||   || 249.06 ||= No-5's semaphore (not
tempering out 81/80) is around here ||
||   ||   ||   || 5\24 ||   ||   ||   ||   ||   ||   ||   || 250 ||=   ||
||   ||   || 4\19 ||   ||   ||   ||   ||   ||   ||   ||   || 252.63 ||= Meantone-style semaphore
(tempering out 81/80) is around here ||
||   || 3\14 ||   ||   ||   ||   ||   ||   ||   ||   ||   || 257.14 ||= Boundary of propriety (generators
larger than this are proper) ||
|| 2\9 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   || 266.67 ||=   ||

Original HTML content:

<html><head><title>5L 4s</title></head><body>The familiar harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Semaphore%20family">semaphore</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 semaphore, 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 />


<table class="wiki_table">
    <tr>
        <th colspan="11">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>240<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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\59<br />
</td>
        <td>244.07<br />
</td>
        <td style="text-align: center;">Pseudo-semaphore 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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\54<br />
</td>
        <td><br />
</td>
        <td>244.44<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><br />
</td>
        <td>10\49<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>244.90<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>9\44<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>245.45<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>8\39<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>246.15<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>7\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>247.06<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\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>248.28<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\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>249.06<br />
</td>
        <td style="text-align: center;">No-5's semaphore (not<br />
tempering out 81/80) is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\24<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>250<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>252.63<br />
</td>
        <td style="text-align: center;">Meantone-style semaphore<br />
(tempering out 81/80) is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>257.14<br />
</td>
        <td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
</td>
    </tr>
    <tr>
        <td>2\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>266.67<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>2011-05-11 14:32:31 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-05-12 03:21:45 UTC</tt>.<br>
-: The original revision id was <tt>227597670</tt>.<br>
+: The original revision id was <tt>227758804</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>links to intervals</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 [[Semaphore family|semaphore]], in which a generator is 8/7 or 7/6 (tempered to be the same interval), so two of them make a 4/3. However, in addition to the 5's (tempering out 81/80) and no-5's versions of semaphore, there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of 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 [[Semaphore family|semaphore]], 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 semaphore, 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 25: / Line 25: @@
 || 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="/Semaphore%20family"&gt;semaphore&lt;/a&gt;, in which a generator is 8/7 or 7/6 (tempered to be the same interval), so two of them make a 4/3. However, in addition to the 5's (tempering out 81/80) and no-5's versions of semaphore, 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 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.&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="/Semaphore%20family"&gt;semaphore&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 semaphore, 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;

5L 4s: Difference between revisions

Revision as of 03:21, 12 May 2011

IMPORTED REVISION FROM WIKISPACES

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