Pseudo-semaphore: Difference between revisions

Revision as of 20:01, 28 August 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author keenanpepper and made on 2011-08-28 20:01:55 UTC.

The original revision id was 248974729.

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:

Pseudo-semiphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.

It's called "pseudo-semiphore" because it has the same MOS structure as [[semiphore]], but 49/48 is not tempered out. Perhaps it's better to think of it as [[Superpyth|superpyth]] in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
==Interval chain== 
|| 204. || 448. || 692. || 936. || 1180. || 224. || 468. || 712. || 956. || 0. || 244. || 488. || 732. || 976. || 20. || 264. || 508. || 752. || 996. ||
|| 9/8 || 9/7 || 3/2 (flat) || 12/7 ||   || 9/8~8/7 ||   || 3/2 (sharp) ||   || 1/1 ||   || 4/3 (flat) ||   || 7/4~16/9 ||   || 7/6 || 4/3 (sharp) || 14/9 || 16/9 ||
==MOSes== 
===5-note (LLLLs, proper)=== 
The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using [[semiphore]][5] or [[superpyth]][5] (or [[5edo]]).
|| Small ("minor") interval || 224. || 468. || 712. || 956. ||
|| JI intervals represented || 9/8~8/7 ||   || 3/2 ||   ||
|| Large ("major") interval || 244. || 488. || 732. || 976. ||
|| JI intervals represented ||   || 4/3 ||   || 7/4~16/9 ||
===9-note (LLsLsLsLs, improper)=== 
Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in [[9edo]].
|| Small ("minor") interval || 20. || 244. || 264. || 488. || 508. || 732. || 752. || 976. ||
|| JI intervals represented ||   ||   || 7/6 || 4/3 (flat) || 4/3 (sharp) ||   || 14/9 || 7/4~16/9 ||
|| Large ("major") interval || 224. || 448. || 468. || 692. || 712. || 936. || 956. || 1180. ||
|| JI intervals represented || 9/8~8/7 || 9/7 ||   || 3/2 (flat) || 3/2 (sharp) || 12/7 ||   ||   ||

Original HTML content:

<html><head><title>Pseudo-semaphore</title></head><body>Pseudo-semiphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.<br />
<br />
It's called &quot;pseudo-semiphore&quot; because it has the same MOS structure as <a class="wiki_link" href="/semiphore">semiphore</a>, but 49/48 is not tempered out. Perhaps it's better to think of it as <a class="wiki_link" href="/Superpyth">superpyth</a> in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Interval chain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Interval chain</h2>
 

<table class="wiki_table">
    <tr>
        <td>204.<br />
</td>
        <td>448.<br />
</td>
        <td>692.<br />
</td>
        <td>936.<br />
</td>
        <td>1180.<br />
</td>
        <td>224.<br />
</td>
        <td>468.<br />
</td>
        <td>712.<br />
</td>
        <td>956.<br />
</td>
        <td>0.<br />
</td>
        <td>244.<br />
</td>
        <td>488.<br />
</td>
        <td>732.<br />
</td>
        <td>976.<br />
</td>
        <td>20.<br />
</td>
        <td>264.<br />
</td>
        <td>508.<br />
</td>
        <td>752.<br />
</td>
        <td>996.<br />
</td>
    </tr>
    <tr>
        <td>9/8<br />
</td>
        <td>9/7<br />
</td>
        <td>3/2 (flat)<br />
</td>
        <td>12/7<br />
</td>
        <td><br />
</td>
        <td>9/8~8/7<br />
</td>
        <td><br />
</td>
        <td>3/2 (sharp)<br />
</td>
        <td><br />
</td>
        <td>1/1<br />
</td>
        <td><br />
</td>
        <td>4/3 (flat)<br />
</td>
        <td><br />
</td>
        <td>7/4~16/9<br />
</td>
        <td><br />
</td>
        <td>7/6<br />
</td>
        <td>4/3 (sharp)<br />
</td>
        <td>14/9<br />
</td>
        <td>16/9<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-MOSes"></a><!-- ws:end:WikiTextHeadingRule:2 -->MOSes</h2>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-MOSes-5-note (LLLLs, proper)"></a><!-- ws:end:WikiTextHeadingRule:4 -->5-note (LLLLs, proper)</h3>
 The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using <a class="wiki_link" href="/semiphore">semiphore</a>[5] or <a class="wiki_link" href="/superpyth">superpyth</a>[5] (or <a class="wiki_link" href="/5edo">5edo</a>).<br />


<table class="wiki_table">
    <tr>
        <td>Small (&quot;minor&quot;) interval<br />
</td>
        <td>224.<br />
</td>
        <td>468.<br />
</td>
        <td>712.<br />
</td>
        <td>956.<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td>9/8~8/7<br />
</td>
        <td><br />
</td>
        <td>3/2<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>Large (&quot;major&quot;) interval<br />
</td>
        <td>244.<br />
</td>
        <td>488.<br />
</td>
        <td>732.<br />
</td>
        <td>976.<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td><br />
</td>
        <td>4/3<br />
</td>
        <td><br />
</td>
        <td>7/4~16/9<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-MOSes-9-note (LLsLsLsLs, improper)"></a><!-- ws:end:WikiTextHeadingRule:6 -->9-note (LLsLsLsLs, improper)</h3>
 Here's where all the action begins. Note that this nine-note scale contains nine 4/3s and nine 3/2s. The only way this is possible with a single mapping for 3 is an equal temperament, and all of these 4/3s and 3/2s are much more accurate than in <a class="wiki_link" href="/9edo">9edo</a>.<br />


<table class="wiki_table">
    <tr>
        <td>Small (&quot;minor&quot;) interval<br />
</td>
        <td>20.<br />
</td>
        <td>244.<br />
</td>
        <td>264.<br />
</td>
        <td>488.<br />
</td>
        <td>508.<br />
</td>
        <td>732.<br />
</td>
        <td>752.<br />
</td>
        <td>976.<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/6<br />
</td>
        <td>4/3 (flat)<br />
</td>
        <td>4/3 (sharp)<br />
</td>
        <td><br />
</td>
        <td>14/9<br />
</td>
        <td>7/4~16/9<br />
</td>
    </tr>
    <tr>
        <td>Large (&quot;major&quot;) interval<br />
</td>
        <td>224.<br />
</td>
        <td>448.<br />
</td>
        <td>468.<br />
</td>
        <td>692.<br />
</td>
        <td>712.<br />
</td>
        <td>936.<br />
</td>
        <td>956.<br />
</td>
        <td>1180.<br />
</td>
    </tr>
    <tr>
        <td>JI intervals represented<br />
</td>
        <td>9/8~8/7<br />
</td>
        <td>9/7<br />
</td>
        <td><br />
</td>
        <td>3/2 (flat)<br />
</td>
        <td>3/2 (sharp)<br />
</td>
        <td>12/7<br />
</td>
        <td><br />
</td>
        <td><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>2011-08-17 15:45:22 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-28 20:01:55 UTC</tt>.<br>
-: The original revision id was <tt>246543337</tt>.<br>
+: The original revision id was <tt>248974729</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">Pseudo-semaphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.
+<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">Pseudo-semiphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.
-It's called "pseudo-semaphore" because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as [[Superpyth|superpyth]] in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
+It's called "pseudo-semiphore" because it has the same MOS structure as [[semiphore]], but 49/48 is not tempered out. Perhaps it's better to think of it as [[Superpyth|superpyth]] in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.
 ==Interval chain==
 || 204. || 448. || 692. || 936. || 1180. || 224. || 468. || 712. || 956. || 0. || 244. || 488. || 732. || 976. || 20. || 264. || 508. || 752. || 996. ||
@@ Line 14: / Line 14: @@
 ==MOSes==
 ===5-note (LLLLs, proper)===
-The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using [[semaphore]][5] or [[superpyth]][5] (or [[5edo]]).
+The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using [[semiphore]][5] or [[superpyth]][5] (or [[5edo]]).
 || Small ("minor") interval || 224. || 468. || 712. || 956. ||
 || JI intervals represented || 9/8~8/7 ||   || 3/2 ||   ||
@@ Line 26: / Line 26: @@
 || JI intervals represented || 9/8~8/7 || 9/7 ||   || 3/2 (flat) || 3/2 (sharp) || 12/7 ||   ||   ||</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;Pseudo-semaphore&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Pseudo-semaphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.&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;Pseudo-semaphore&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Pseudo-semiphore is a weird temperament in which the third harmonic does not have a single consistent mapping. If you want to force it into the regular mapping paradigm you have to think of it as a 2.3.3'.7 temperament.&lt;br /&gt;
 &lt;br /&gt;
-It's called &amp;quot;pseudo-semaphore&amp;quot; because it has the same MOS structure as semaphore, but 49/48 is not tempered out. Perhaps it's better to think of it as &lt;a class="wiki_link" href="/Superpyth"&gt;superpyth&lt;/a&gt; in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.&lt;br /&gt;
+It's called &amp;quot;pseudo-semiphore&amp;quot; because it has the same MOS structure as &lt;a class="wiki_link" href="/semiphore"&gt;semiphore&lt;/a&gt;, but 49/48 is not tempered out. Perhaps it's better to think of it as &lt;a class="wiki_link" href="/Superpyth"&gt;superpyth&lt;/a&gt; in which the 4/3 generator has been split in half forming a weird interval that's neither 8/7 nor 7/6.&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Interval chain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Interval chain&lt;/h2&gt;
@@ Line 117: / Line 117: @@
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-MOSes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;MOSes&lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-MOSes-5-note (LLLLs, proper)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;5-note (LLLLs, proper)&lt;/h3&gt;
-  The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using &lt;a class="wiki_link" href="/semaphore"&gt;semaphore&lt;/a&gt;[5] or &lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;[5] (or &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;).&lt;br /&gt;
+  The 5-note MOS is not much use because only one of the two different mappings shows up. You'd be better off using &lt;a class="wiki_link" href="/semiphore"&gt;semiphore&lt;/a&gt;[5] or &lt;a class="wiki_link" href="/superpyth"&gt;superpyth&lt;/a&gt;[5] (or &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt;).&lt;br /&gt;

Pseudo-semaphore: Difference between revisions

Revision as of 20:01, 28 August 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search