10edo: Difference between revisions
Wikispaces>PiotrGrochowski **Imported revision 589879786 - Original comment: ** |
Wikispaces>PiotrGrochowski **Imported revision 591535428 - 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:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016- | : This revision was by author [[User:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-09-09 14:09:38 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>591535428</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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Ratios* || Additional Ratios of 3, 5 and 9 || Name || | Ratios* || Additional Ratios of 3, 5 and 9 || Name || | ||
|| 0 || 0 | || 0 || 0 | ||
0° || 1/1 || 256/243, 50/49 || unison || | 0° || 1/1 || 256/243, 50/49, 25/24 || unison || | ||
|| 1 || 120 | || 1 || 120 | ||
36° || 15/14 | 36° || 16/15, 15/14, 13/14 || 10/9, 13/12, 81/80 || small neutral second/large minor second || | ||
|| 2 || 240 | || 2 || 240 | ||
72° || 15/13, | 72° || 8/7, 15/13, 144/125 || 9/8, 7/6 || second/third || | ||
|| 3 || 360 | || 3 || 360 | ||
108° || 16/13 || 5/4 || large neutral third || | 108° || 16/13 || 5/4 || large neutral third || | ||
| Line 29: | Line 29: | ||
144° || 64/49, 169/128 || 4/3, 9/7, 13/10 || smaller fourth || | 144° || 64/49, 169/128 || 4/3, 9/7, 13/10 || smaller fourth || | ||
|| 5 || 600 | || 5 || 600 | ||
180° || 91/64, 169/120 || 7/5, 10/7, 13/9, 18/13 || tritone || | 180° || 91/64, 128/91, 169/120, 240/169 || 7/5, 10/7, 13/9, 18/13 || tritone || | ||
|| 6 || 720 | || 6 || 720 | ||
216° || 49/32, 256/169 || 3/2, 14/9, 20/13 || bigger fifth || | 216° || 49/32, 256/169 || 3/2, 14/9, 20/13 || bigger fifth || | ||
| Line 64: | Line 64: | ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 256/243 || | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd || || | ||= 256/243 || | 8 -5 > ||> 90.22 ||= Limma ||= Pythagorean Minor 2nd || || | ||
||= 25/24 || | -3 -1 2 > ||> 70.67 ||= 5-limit large semitone ||= 5-limit chromatic semitone || || | |||
||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || | ||= 16875/16384 || | -14 3 4 > ||> 51.12 ||= Negri Comma ||= Double Augmentation Diesis || || | ||
||= 9931568/9752117 || | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= || || | ||= 9931568/9752117 || | -25 7 6 > ||> 31.57 ||= Ampersand's Comma ||= || || | ||
| Line 151: | Line 152: | ||
<td>1/1<br /> | <td>1/1<br /> | ||
</td> | </td> | ||
<td>256/243, 50/49<br /> | <td>256/243, 50/49, 25/24<br /> | ||
</td> | </td> | ||
<td>unison<br /> | <td>unison<br /> | ||
| Line 162: | Line 163: | ||
36°<br /> | 36°<br /> | ||
</td> | </td> | ||
<td>15/14 | <td>16/15, 15/14, 13/14<br /> | ||
</td> | </td> | ||
<td>10/9, 13/12, 81/80<br /> | <td>10/9, 13/12, 81/80<br /> | ||
| Line 175: | Line 176: | ||
72°<br /> | 72°<br /> | ||
</td> | </td> | ||
<td>15/13, | <td>8/7, 15/13, 144/125<br /> | ||
</td> | </td> | ||
<td>9/8, 7/6<br /> | <td>9/8, 7/6<br /> | ||
| Line 214: | Line 215: | ||
180°<br /> | 180°<br /> | ||
</td> | </td> | ||
<td>91/64, 169/120<br /> | <td>91/64, 128/91, 169/120, 240/169<br /> | ||
</td> | </td> | ||
<td>7/5, 10/7, 13/9, 18/13<br /> | <td>7/5, 10/7, 13/9, 18/13<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc2"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:7 -->Images</h1> | <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc2"><a name="Images"></a><!-- ws:end:WikiTextHeadingRule:7 -->Images</h1> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc3"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:9 -->Linear temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc3"><a name="Linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:9 -->Linear temperaments</h1> | ||
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</td> | </td> | ||
<td style="text-align: center;">Pythagorean Minor 2nd<br /> | <td style="text-align: center;">Pythagorean Minor 2nd<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">25/24<br /> | |||
</td> | |||
<td>| -3 -1 2 &gt;<br /> | |||
</td> | |||
<td style="text-align: right;">70.67<br /> | |||
</td> | |||
<td style="text-align: center;">5-limit large semitone<br /> | |||
</td> | |||
<td style="text-align: center;">5-limit chromatic semitone<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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<em><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/Smooth10.mp3" rel="nofollow">Smooth 10</a></em> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/65405f5999f3960d5704b83c7318c673-170.html" rel="nofollow">blog entry</a>)<br /> | <em><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/Smooth10.mp3" rel="nofollow">Smooth 10</a></em> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/65405f5999f3960d5704b83c7318c673-170.html" rel="nofollow">blog entry</a>)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:565:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/10preview.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@10preview.ogg&quot; title=&quot;File: 10preview.ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/10preview.ogg/246873297/10preview.ogg" onclick="ws.common.trackFileLink('/file/view/10preview.ogg/246873297/10preview.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="10preview.ogg" /></a><div><a href="/file/view/10preview.ogg/246873297/10preview.ogg" onclick="ws.common.trackFileLink('/file/view/10preview.ogg/246873297/10preview.ogg');" class="filename" title="10preview.ogg">10preview.ogg</a><br /><ul><li><a href="/file/detail/10preview.ogg">Details</a></li><li><a href="/file/view/10preview.ogg/246873297/10preview.ogg">Download</a></li><li style="color: #666">3 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:565 --> A sample of orchestral possibilities made using ZynAddSubFx under Linux (cenobyte)<br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:566:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/decexperiment.ogg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@decexperiment.ogg&quot; title=&quot;File: decexperiment.ogg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg" onclick="ws.common.trackFileLink('/file/view/decexperiment.ogg/246971619/decexperiment.ogg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="decexperiment.ogg" /></a><div><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg" onclick="ws.common.trackFileLink('/file/view/decexperiment.ogg/246971619/decexperiment.ogg');" class="filename" title="decexperiment.ogg">decexperiment.ogg</a><br /><ul><li><a href="/file/detail/decexperiment.ogg">Details</a></li><li><a href="/file/view/decexperiment.ogg/246971619/decexperiment.ogg">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:566 -->3 tracks made in ZynAddSubFx simply mixed in Audacity (cenobyte)<br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/10edo/10_earwigs_invasive.mp3" rel="nofollow">10 Earwigs Invasive</a></em></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1397" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/10edo/10_earwigs_invasive.mp3" rel="nofollow">10 Earwigs Invasive</a></em></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1397" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/09%20-%209.%2010%20octave.mp3" rel="nofollow">Comets Over Flatland 9</a></em></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/09%20-%209.%2010%20octave.mp3" rel="nofollow">Comets Over Flatland 9</a></em></span> by <a class="wiki_link" href="/Randy%20Winchester">Randy Winchester</a><br /> | ||
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Retuning a convention keyboard to 10edo may be done in many ways, but neglecting or making redundant the Eb and Ab keys preserves the sLsLsLs scale on the white keys. Redundancy may make modulation easier, but another option is tuning the superfluous keys to selections from <a class="wiki_link" href="/20edo">20edo</a> which approximates the 11th harmonic with relative accuracy, among other features.<br /> | Retuning a convention keyboard to 10edo may be done in many ways, but neglecting or making redundant the Eb and Ab keys preserves the sLsLsLs scale on the white keys. Redundancy may make modulation easier, but another option is tuning the superfluous keys to selections from <a class="wiki_link" href="/20edo">20edo</a> which approximates the 11th harmonic with relative accuracy, among other features.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:562:&lt;img src=&quot;/file/view/Decaphonic_Classic_Guitar.png/234752078/Decaphonic_Classic_Guitar.png&quot; alt=&quot;A Decaphonic (10-EDO) Classical Guitar&quot; title=&quot;A Decaphonic (10-EDO) Classical Guitar&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Decaphonic_Classic_Guitar.png/234752078/Decaphonic_Classic_Guitar.png" alt="Decaphonic_Classic_Guitar.png" title="Decaphonic_Classic_Guitar.png" /></td></tr><tr><td class="imageCaption">A Decaphonic (10-EDO) Classical Guitar</td></tr></table><!-- ws:end:WikiTextLocalImageRule:562 --><!-- ws:start:WikiTextLocalImageRule:563:&lt;img src=&quot;/file/view/decaphonic-uke.JPG/251070060/526x406/decaphonic-uke.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 406px; width: 526px;&quot; /&gt; --><img src="/file/view/decaphonic-uke.JPG/251070060/526x406/decaphonic-uke.JPG" alt="decaphonic-uke.JPG" title="decaphonic-uke.JPG" style="height: 406px; width: 526px;" /><!-- ws:end:WikiTextLocalImageRule:563 --><!-- ws:start:WikiTextMediaRule:2:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/10021077?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;10021077&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | ||
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