17edo: Difference between revisions

Wikispaces>phylingual
**Imported revision 328991254 - Original comment: **
Wikispaces>phylingual
**Imported revision 328992388 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-02 19:13:20 UTC</tt>.<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-02 19:16:20 UTC</tt>.<br>
: The original revision id was <tt>328991254</tt>.<br>
: The original revision id was <tt>328992388</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] &lt; 17 27 39 48 59 63 |, cent values ​​rounded to 5 digits.)
17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] &lt; 17 27 39 48 59 63 |, cent values ​​rounded to 5 digits.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
|| &lt;span style="display: block; text-align: center;"&gt;134217728/129140163&lt;/span&gt; || | 27 -17 &gt; ||&gt; 66.765 || &lt;span style="display: block; text-align: center;"&gt;17-Comma&lt;/span&gt; ||  ||  ||
||= &lt;span style="display: block; text-align: center;"&gt;134217728/129140163&lt;/span&gt; || | 27 -17 &gt; ||&gt; 66.765 || &lt;span style="display: block; text-align: center;"&gt;17-Comma&lt;/span&gt; ||  ||  ||
||= 25/24 || |-3 -1 2&gt; ||&gt; 70.762 || Chromatic semitone || Dicot comma ||  ||
||= 32805/32768 ||&lt; | -15 8 1 &gt; ||&gt; 1.9537 ||= Schisma ||=  ||=  ||
||= 32805/32768 ||&lt; | -15 8 1 &gt; ||&gt; 1.9537 ||= Schisma ||=  ||=  ||
||= 64/63 ||&lt; | 6 -2 0 -1 &gt; ||&gt; 27.264 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 64/63 ||&lt; | 6 -2 0 -1 &gt; ||&gt; 27.264 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
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||= 243/242 ||&lt; | -1 5 0 0 -2 &gt; ||&gt; 7.1391 ||= Rastma ||=  ||=  ||
||= 243/242 ||&lt; | -1 5 0 0 -2 &gt; ||&gt; 7.1391 ||= Rastma ||=  ||=  ||
||= 385/384 ||&lt; | -7 -1 1 1 1 &gt; ||&gt; 4.5026 ||= Keenanisma ||=  ||=  ||
||= 385/384 ||&lt; | -7 -1 1 1 1 &gt; ||&gt; 4.5026 ||= Keenanisma ||=  ||=  ||
||=   ||&lt;   ||&gt;   ||=  ||=  ||=  ||
||= &lt;span style="display: block; text-align: center;"&gt;525/512&lt;/span&gt; ||&lt; &lt;span style="display: block; text-align: left;"&gt;| -9 1 2 1 &gt;&lt;/span&gt; ||&gt; 43.408 ||= &lt;span style="display: block; text-align: center;"&gt;Avicennma &lt;/span&gt; ||= Avicenna's Enharmonic Diesis ||=  ||
||= 25/24 ||&lt; | -3 -1 2 &gt; ||&gt; //70.762// ||= Chromatic Semitone ||= Dicot Comma ||=  ||
||= 525/512 ||&lt; | -9 1 2 1 &gt; ||&gt; //43.408// ||= Avicennma ||= Avicenna's Enharmonic Diesis ||=  ||


Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.
Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;134217728/129140163&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;134217728/129140163&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;| 27 -17 &amp;gt;&lt;br /&gt;
         &lt;td&gt;| 27 -17 &amp;gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;25/24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;|-3 -1 2&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: right;"&gt;70.762&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Chromatic semitone&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Dicot comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;525/512&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: right;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;25/24&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;| -3 -1 2 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: right;"&gt;&lt;em&gt;70.762&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Chromatic Semitone&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Dicot Comma&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;525/512&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;| -9 1 2 1 &amp;gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;&lt;span style="display: block; text-align: left;"&gt;| -9 1 2 1 &amp;gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: right;"&gt;&lt;em&gt;43.408&lt;/em&gt;&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;43.408&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Avicennma&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Avicennma &lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Avicenna's Enharmonic Diesis&lt;br /&gt;
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  &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc7"&gt;&lt;a name="x17 tone equal temperament-Instruments--Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc7"&gt;&lt;a name="x17 tone equal temperament-Instruments--Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc8"&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:522:&amp;lt;img src=&amp;quot;http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 249px; width: 706px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg" alt="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" title="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" style="height: 249px; width: 706px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:522 --&gt;&lt;/h4&gt;
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&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc9"&gt;&lt;a name="x17 tone equal temperament-Instruments--Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
&lt;ul&gt;&lt;li&gt;&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc9"&gt;&lt;a name="x17 tone equal temperament-Instruments--Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;&lt;strong&gt;&lt;a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow"&gt;Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani&lt;/a&gt;&lt;/strong&gt;&lt;/h4&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:21:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc10"&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:523:&amp;lt;img src=&amp;quot;http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 256px; width: 689px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg" alt="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" title="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" style="height: 256px; width: 689px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:523 --&gt;&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:21:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc10"&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:509:&amp;lt;img src=&amp;quot;http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 256px; width: 689px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg" alt="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" title="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" style="height: 256px; width: 689px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:509 --&gt;&lt;/h4&gt;
&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=436" rel="nofollow" target="_blank"&gt;17 note per octave conversion from a &amp;quot;standard&amp;quot; stratocastor copy&lt;/a&gt; - conversion by Brad Smith&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=436" rel="nofollow" target="_blank"&gt;17 note per octave conversion from a &amp;quot;standard&amp;quot; stratocastor copy&lt;/a&gt; - conversion by Brad Smith&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
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