19edo: Difference between revisions
Wikispaces>spt3125 **Imported revision 484154186 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 491212552 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-02-22 11:15:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>491212552</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> | ||
<h4>Original Wikitext content:</h4> | <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">[[toc | <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">[[toc]] | ||
---- | ---- | ||
=Theory= | =Theory= | ||
| Line 49: | Line 49: | ||
|| 18 || da || 1136.84 || || Unicorn/rhinocerus || | || 18 || da || 1136.84 || || Unicorn/rhinocerus || | ||
*based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | ||
===Intervals by patent val error=== | |||
|| Interval || Error || | |||
|| 6/5 || 0.148 || | |||
|| 14/13 || -1.982 || | |||
|| 15/13 || 4.891 || | |||
|| 18/13 || 5.039 || | |||
|| 15/14 || 6.873 || | |||
|| 9/7 || 7.021 || | |||
|| 10/9 || 7.070 || | |||
|| 4/3 || 7.218 || | |||
|| 5/4 || -7.366 || | |||
|| 13/10 || -12.109 || | |||
|| 13/12 || -12.257 || | |||
|| 7/5 || -14.091 || | |||
|| 7/6 || -14.239 || | |||
|| 9/8 || -14.436 || | |||
|| 16/15 || 14.585 || | |||
|| 11/8 || 17.103 || | |||
|| 16/13 || 19.475 || | |||
|| 8/7 || 21.457 || | |||
|| 12/11 || -24.321 || | |||
|| 11/10 || 24.469 || | |||
|| 11/9 || 31.539 || | |||
|| 15/11 || -31.688 || | |||
|| 13/11 || -36.578 || | |||
|| 14/11 || -38.561 || | |||
[[media type="custom" key="24906428"]] | [[media type="custom" key="24906428"]] | ||
| Line 146: | Line 173: | ||
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/_Movi_Nove__by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3|Movi-Nove]]// by [[https://soundcloud.com/lois-lancaster/movi-nove|Roncevaux (Löis Lancaster)]]</pre></div> | //[[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/_Movi_Nove__by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3|Movi-Nove]]// by [[https://soundcloud.com/lois-lancaster/movi-nove|Roncevaux (Löis Lancaster)]]</pre></div> | ||
<h4>Original HTML content:</h4> | <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>19edo</title></head><body><!-- ws:start:WikiTextTocRule: | <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>19edo</title></head><body><!-- ws:start:WikiTextTocRule:24:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Theory">Theory</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 2em;"><a href="#Theory-As an approximation of other temperaments">As an approximation of other temperaments</a></div> | ||
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#Theory-Intervals and linear temperaments">Intervals and linear temperaments</a></div> | |||
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 3em;"><a href="#Theory-Intervals and linear temperaments-Intervals by patent val error">Intervals by patent val error</a></div> | |||
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#Theory-Commas">Commas</a></div> | |||
<!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Theory-See also">See also</a></div> | |||
<!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#Theory-Articles">Articles</a></div> | |||
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#Theory-References">References</a></div> | |||
<!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 1em;"><a href="#toc8"> </a></div> | |||
<!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#Theory-Photos">Photos</a></div> | |||
<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Compositions">Compositions</a></div> | |||
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --></div> | |||
<!-- ws:end:WikiTextTocRule:36 --><hr /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:2 -->Theory</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:2 -->Theory</h1> | ||
<br /> | <br /> | ||
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*based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.<br /> | *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc3"><a name="Theory-Intervals and linear temperaments-Intervals by patent val error"></a><!-- ws:end:WikiTextHeadingRule:8 -->Intervals by patent val error</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Interval<br /> | |||
</td> | |||
<td>Error<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6/5<br /> | |||
</td> | |||
<td>0.148<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14/13<br /> | |||
</td> | |||
<td>-1.982<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15/13<br /> | |||
</td> | |||
<td>4.891<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>18/13<br /> | |||
</td> | |||
<td>5.039<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15/14<br /> | |||
</td> | |||
<td>6.873<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9/7<br /> | |||
</td> | |||
<td>7.021<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>10/9<br /> | |||
</td> | |||
<td>7.070<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4/3<br /> | |||
</td> | |||
<td>7.218<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5/4<br /> | |||
</td> | |||
<td>-7.366<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13/10<br /> | |||
</td> | |||
<td>-12.109<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13/12<br /> | |||
</td> | |||
<td>-12.257<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/5<br /> | |||
</td> | |||
<td>-14.091<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>7/6<br /> | |||
</td> | |||
<td>-14.239<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>9/8<br /> | |||
</td> | |||
<td>-14.436<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16/15<br /> | |||
</td> | |||
<td>14.585<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/8<br /> | |||
</td> | |||
<td>17.103<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>16/13<br /> | |||
</td> | |||
<td>19.475<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>8/7<br /> | |||
</td> | |||
<td>21.457<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>12/11<br /> | |||
</td> | |||
<td>-24.321<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/10<br /> | |||
</td> | |||
<td>24.469<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>11/9<br /> | |||
</td> | |||
<td>31.539<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>15/11<br /> | |||
</td> | |||
<td>-31.688<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>13/11<br /> | |||
</td> | |||
<td>-36.578<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>14/11<br /> | |||
</td> | |||
<td>-38.561<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc4"><a name="Theory-Commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->Commas</h2> | ||
19 EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 19 30 44 53 66 70 |.)<br /> | 19 EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 19 30 44 53 66 70 |.)<br /> | ||
| Line 819: | Line 1,014: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Theory-See also"></a><!-- ws:end:WikiTextHeadingRule:12 -->See also</h2> | ||
<ul><li><a class="wiki_link" href="/19edo%20Modes">19edo Modes</a></li><li><a class="wiki_link" href="/How%20to%20tune%20a%2019edo%20guitar%20by%20ear">How to tune a 19edo guitar by ear</a></li></ul><br /> | <ul><li><a class="wiki_link" href="/19edo%20Modes">19edo Modes</a></li><li><a class="wiki_link" href="/How%20to%20tune%20a%2019edo%20guitar%20by%20ear">How to tune a 19edo guitar by ear</a></li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><a name="Theory-Articles"></a><!-- ws:end:WikiTextHeadingRule:14 -->Articles</h2> | ||
<ul><li><a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow">A Case For Nineteen</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ivor%20Darreg">Ivor Darreg</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.microstick.net/nineteenarticle.htm" rel="nofollow">Nineteen for the Nineties</a> by Ivor Darreg</li><li><a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow">19-Tone Theory and Applications</a> by Hubert S. Howe Jr. <a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow">Tunings for 19 Tone Equal Tempered Guitar</a> by William A. Sethares <a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow">Microtonalism</a> by Bailey, Morrison, Pearson and Parncutt <a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow">Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar</a>.</li><li><a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow">Enneadecaphonic Scales for Guitar</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ron%20Sword">Ron Sword</a></li></ul><br /> | <ul><li><a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow">A Case For Nineteen</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ivor%20Darreg">Ivor Darreg</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.microstick.net/nineteenarticle.htm" rel="nofollow">Nineteen for the Nineties</a> by Ivor Darreg</li><li><a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow">19-Tone Theory and Applications</a> by Hubert S. Howe Jr. <a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow">Tunings for 19 Tone Equal Tempered Guitar</a> by William A. Sethares <a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow">Microtonalism</a> by Bailey, Morrison, Pearson and Parncutt <a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow">Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar</a>.</li><li><a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow">Enneadecaphonic Scales for Guitar</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ron%20Sword">Ron Sword</a></li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Theory-References"></a><!-- ws:end:WikiTextHeadingRule:16 -->References</h2> | ||
<ul><li>Bucht, Saku and Huovinen, Erkki, <em>Perceived consonance of harmonic intervals in 19-tone equal temperament</em>, CIM04_proceedings.</li><li>Levy, Kenneth J., <em>Costeley's Chromatic Chanson</em>, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul><!-- ws:start:WikiTextHeadingRule: | <ul><li>Bucht, Saku and Huovinen, Erkki, <em>Perceived consonance of harmonic intervals in 19-tone equal temperament</em>, CIM04_proceedings.</li><li>Levy, Kenneth J., <em>Costeley's Chromatic Chanson</em>, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul><!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc8"><!-- ws:end:WikiTextHeadingRule:18 --> </h1> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Theory-Photos"></a><!-- ws:end:WikiTextHeadingRule:20 -->Photos</h2> | ||
19 note per octave Ibanez conversion by Brad Smith (Indianapolis)<br /> | 19 note per octave Ibanez conversion by Brad Smith (Indianapolis)<br /> | ||
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<strong><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/" rel="nofollow">XA 19-ET Index</a></strong><br /> | <strong><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/" rel="nofollow">XA 19-ET Index</a></strong><br /> | ||