14edo: Difference between revisions
Wikispaces>jdfreivald **Imported revision 233333448 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 233693666 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-06-02 02:55:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>233693666</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">=<span style="color: # | <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">=<span style="color: #790025; font-size: 109%;">14 tone equal temperament</span>= | ||
**14-EDO intervals:** | ==**14-EDO intervals:**== | ||
|| **DEGREE** || **NOTE** || **CENTS** || **Nearest Just Interval** || **Cents** || **Error** || | || **DEGREE** || **NOTE** || **CENTS** || **Nearest Just Interval** || **Cents** || **Error** || | ||
|| 0 || **C** || 0 || **1/1** || 0 || **None** || | || 0 || **C** || 0 || **1/1** || 0 || **None** || | ||
| Line 25: | Line 25: | ||
|| 13 || B* || 1114.286 || 40/21 || 1115.533 || -1.247 || | || 13 || B* || 1114.286 || 40/21 || 1115.533 || -1.247 || | ||
|| **14··(or 0)** || **C** || **1200** || **2/1** || **1200** || **None** || | || **14··(or 0)** || **C** || **1200** || **2/1** || **1200** || **None** || | ||
[[image:Ciclo_Tetradecafonía.png width="456" height="468" caption="Intervallic Cycle of 14 steps Equal per Octave"]] | |||
**14 tone equal [[modes]]:** | ==<span style="font-size: 1.3em;">Commas:</span>== | ||
14 EDO tempers out the following commas. (Note: This assumes the val < 14 22 33 39 48 52 |.) | |||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 || | |||
||= 2187/2048 ||< | -11 7 > ||> 113.69 ||= Apotome ||= || | |||
||= 2048/2025 ||< | 11 -4 -2 > ||> 19.55 ||= Diaschisma ||= || | |||
||= 36/35 ||< | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= || | |||
||= 49/48 ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||= || | |||
||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma || | |||
||= 10976/10935 ||< | 5 -7 -1 3 > ||> 6.48 ||= Hemimage ||= || | |||
||= 394839/394762 ||< | 47 -7 -7 -7 > ||> 0.34 ||= Akjaysma ||= 5\7 Octave Comma || | |||
||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= || | |||
||= 243/242 ||< | -1 5 0 0 -2 > ||> 7.14 ||= Rastma ||= || | |||
||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= || | |||
||= 91/90 ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||= || | |||
||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||= || | |||
==**14 tone equal [[modes]]:**== | |||
6 6 2 - [[MOSScales|MOS]] of [[2L1s]] | 6 6 2 - [[MOSScales|MOS]] of [[2L1s]] | ||
5 5 4 - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[2L1s]]</span> | 5 5 4 - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[2L1s]]</span> | ||
| Line 53: | Line 70: | ||
**1 1 2 1 1 1 2 1 1 1 2** - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[3L8s]]</span> | **1 1 2 1 1 1 2 1 1 1 2** - <span style="cursor: pointer;">[[MOSScales|MOS]]</span> of <span style="cursor: pointer;">[[3L8s]]</span> | ||
==Instruments:== | |||
[[image:http://4.bp.blogspot.com/_7rDA1Q80rL8/S9M8H2YTpaI/AAAAAAAAAHM/Qkxp5gioOF0/s1600/14edo+guitar+%282%29.jpg width="750" height="256"]] | [[image:http://4.bp.blogspot.com/_7rDA1Q80rL8/S9M8H2YTpaI/AAAAAAAAAHM/Qkxp5gioOF0/s1600/14edo+guitar+%282%29.jpg width="750" height="256"]] | ||
//A Tetradecaphonic Guitar. 14-EDO Guitar by Ron Sword.// | //A Tetradecaphonic Guitar. 14-EDO Guitar by Ron Sword.// | ||
**Books:** | ==**Books:**== | ||
[[image:Libro_Tetradecafónico.PNG]] | [[image:Libro_Tetradecafónico.PNG width="360" height="431"]] | ||
//Sword, Ron. "Tetradecaphonic Scales for Guitar" IAAA Press. First Ed: June 2009.// | //Sword, Ron. "Tetradecaphonic Scales for Guitar" IAAA Press. First Ed: June 2009.// | ||
**Compositions:** | ==**Compositions:**== | ||
[[http://ralphjarzombek.webs.com/|14-tone Equal Temperament]] by Ralph Jarzombek | [[http://ralphjarzombek.webs.com/|14-tone Equal Temperament]] by Ralph Jarzombek | ||
[[http://micro.soonlabel.com/14-et/Thorium-Road-jon-lyle-smith.mp3|Thorium Road]] by [[John Lyle Smith]] | [[http://micro.soonlabel.com/14-et/Thorium-Road-jon-lyle-smith.mp3|Thorium Road]] by [[John Lyle Smith]] | ||
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||= ||< ||> ||= ||= ||</pre></div> | ||= ||< ||> ||= ||= ||</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>14edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x14 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: # | <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>14edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x14 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #790025; font-size: 109%;">14 tone equal temperament</span></h1> | ||
<br /> | <br /> | ||
<strong>14-EDO intervals:</strong>< | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x14 tone equal temperament-14-EDO intervals:"></a><!-- ws:end:WikiTextHeadingRule:2 --><strong>14-EDO intervals:</strong></h2> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
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</table> | </table> | ||
<!-- ws:start:WikiTextLocalImageRule:556:&lt;img src=&quot;/file/view/Ciclo_Tetradecafon%C3%ADa.png/233692646/456x468/Ciclo_Tetradecafon%C3%ADa.png&quot; alt=&quot;Intervallic Cycle of 14 steps Equal per Octave&quot; title=&quot;Intervallic Cycle of 14 steps Equal per Octave&quot; style=&quot;height: 468px; width: 456px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Ciclo_Tetradecafon%C3%ADa.png/233692646/456x468/Ciclo_Tetradecafon%C3%ADa.png" alt="Ciclo_Tetradecafonía.png" title="Ciclo_Tetradecafonía.png" style="height: 468px; width: 456px;" /></td></tr><tr><td class="imageCaption">Intervallic Cycle of 14 steps Equal per Octave</td></tr></table><!-- ws:end:WikiTextLocalImageRule:556 --><br /> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x14 tone equal temperament-Commas:"></a><!-- ws:end:WikiTextHeadingRule:4 --><span style="font-size: 1.3em;">Commas:</span></h2> | ||
4 | |||
14 EDO tempers out the following commas. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)<br /> | 14 EDO tempers out the following commas. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)<br /> | ||
| Line 523: | Line 497: | ||
</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x14 tone equal temperament-14 tone equal modes:"></a><!-- ws:end:WikiTextHeadingRule:6 --><strong>14 tone equal <a class="wiki_link" href="/modes">modes</a>:</strong></h2> | ||
6 6 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a><br /> | |||
5 5 4 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/2L1s">2L1s</a></span><br /> | |||
5 4 5 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/2L1s">2L1s</a></span><br /> | |||
4 4 4 2 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/3L1s">3L1s</a><br /> | |||
4 2 4 4 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/3L1s">3L1s</a></span><br /> | |||
4 1 4 4 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/3L2s">3L2s</a><br /> | |||
4 1 4 1 4 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/3L2s">3L2s</a></span><br /> | |||
3 3 3 3 2 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/4L1s">4L1s</a><br /> | |||
3 2 3 3 3 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/4L1s">4L1s</a></span><br /> | |||
3 2 2 2 2 3 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/2L4s">2L4s</a><br /> | |||
2 2 3 2 2 3 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/2L4s">2L4s</a></span><br /> | |||
<strong>3 3 1 3 3 1 -</strong> <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/4L2s">4L2s</a><br /> | |||
3 1 3 3 1 3 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/4L2s">4L2s</a></span><br /> | |||
3 1 3 1 3 3 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/4L2s">4L2s</a></span><br /> | |||
2 2 2 2 2 2 2 = <a class="wiki_link" href="/7edo">7edo</a><br /> | |||
2 2 1 2 2 2 2 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/6L2s">6L2s</a><br /> | |||
2 2 2 1 2 2 2 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/6L2s">6L2s</a></span><br /> | |||
<strong>2 2 2 2 1 2 2 1 -</strong> <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/6L2s">6L2s</a></span><br /> | |||
2 1 2 2 1 2 2 2 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/6L2s">6L2s</a></span><br /> | |||
2 1 2 1 2 1 2 1 2 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/5L4s">5L4s</a><br /> | |||
2 1 2 1 2 1 2 2 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/5L4s">5L4s</a></span><br /> | |||
2 1 2 1 2 2 1 2 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/5L4s">5L4s</a></span><br /> | |||
2 1 1 2 1 2 1 1 2 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/4L6s">4L6s</a><br /> | |||
2 1 1 1 2 1 1 2 1 1 1 - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <a class="wiki_link" href="/3L8s">3L8s</a><br /> | |||
<strong>1 1 2 1 1 1 2 1 1 1 2</strong> - <span style="cursor: pointer;"><a class="wiki_link" href="/MOSScales">MOS</a></span> of <span style="cursor: pointer;"><a class="wiki_link" href="/3L8s">3L8s</a></span><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x14 tone equal temperament-Instruments:"></a><!-- ws:end:WikiTextHeadingRule:8 -->Instruments:</h2> | |||
<!-- ws:start:WikiTextRemoteImageRule:558:&lt;img src=&quot;http://4.bp.blogspot.com/_7rDA1Q80rL8/S9M8H2YTpaI/AAAAAAAAAHM/Qkxp5gioOF0/s1600/14edo+guitar+%282%29.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 256px; width: 750px;&quot; /&gt; --><img src="http://4.bp.blogspot.com/_7rDA1Q80rL8/S9M8H2YTpaI/AAAAAAAAAHM/Qkxp5gioOF0/s1600/14edo+guitar+%282%29.jpg" alt="external image 14edo+guitar+%282%29.jpg" title="external image 14edo+guitar+%282%29.jpg" style="height: 256px; width: 750px;" /><!-- ws:end:WikiTextRemoteImageRule:558 --><br /> | |||
<em>A Tetradecaphonic Guitar. 14-EDO Guitar by Ron Sword.</em><br /> | <em>A Tetradecaphonic Guitar. 14-EDO Guitar by Ron Sword.</em><br /> | ||
<br /> | <br /> | ||
<strong>Books:</strong>< | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x14 tone equal temperament-Books:"></a><!-- ws:end:WikiTextHeadingRule:10 --><strong>Books:</strong></h2> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:557:&lt;img src=&quot;/file/view/Libro_Tetradecaf%C3%B3nico.PNG/163539671/360x431/Libro_Tetradecaf%C3%B3nico.PNG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 431px; width: 360px;&quot; /&gt; --><img src="/file/view/Libro_Tetradecaf%C3%B3nico.PNG/163539671/360x431/Libro_Tetradecaf%C3%B3nico.PNG" alt="Libro_Tetradecafónico.PNG" title="Libro_Tetradecafónico.PNG" style="height: 431px; width: 360px;" /><!-- ws:end:WikiTextLocalImageRule:557 --><br /> | ||
<em>Sword, Ron. &quot;Tetradecaphonic Scales for Guitar&quot; IAAA Press. First Ed: June 2009.</em><br /> | <em>Sword, Ron. &quot;Tetradecaphonic Scales for Guitar&quot; IAAA Press. First Ed: June 2009.</em><br /> | ||
<br /> | <br /> | ||
<strong>Compositions:</strong>< | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x14 tone equal temperament-Compositions:"></a><!-- ws:end:WikiTextHeadingRule:12 --><strong>Compositions:</strong></h2> | ||
<a class="wiki_link_ext" href="http://ralphjarzombek.webs.com/" rel="nofollow">14-tone Equal Temperament</a> by Ralph Jarzombek<br /> | <a class="wiki_link_ext" href="http://ralphjarzombek.webs.com/" rel="nofollow">14-tone Equal Temperament</a> by Ralph Jarzombek<br /> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/14-et/Thorium-Road-jon-lyle-smith.mp3" rel="nofollow">Thorium Road</a> by <a class="wiki_link" href="/John%20Lyle%20Smith">John Lyle Smith</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/14-et/Thorium-Road-jon-lyle-smith.mp3" rel="nofollow">Thorium Road</a> by <a class="wiki_link" href="/John%20Lyle%20Smith">John Lyle Smith</a><br /> | ||
<a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/egress.mid" rel="nofollow">This Way to the Egress</a> by <a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/music/index.html" rel="nofollow">Herman Miller</a><br /> | <a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/egress.mid" rel="nofollow">This Way to the Egress</a> by <a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/music/index.html" rel="nofollow">Herman Miller</a><br /> | ||