Porcupine/Chords: Difference between revisions
Wikispaces>phylingual **Imported revision 355204548 - Original comment: ** |
Wikispaces>phylingual **Imported revision 355207832 - 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>2012-07-28 | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-28 18:06:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>355207832</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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine. | <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">Below are listed the [[Dyadic chord|dyadic chords]] of 11-limit [[Porcupine|porcupine temperament]] that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 ptolemismic, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine. | ||
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|| Chord || Transversal || Type || | || Chord || Transversal || Type || | ||
|| 0-1-2-3 || 1-10/9-11/9-4/3 || otonal || | || 0-1-2-3 || 1-10/9-11/9-4/3 || otonal || | ||
|| 0-1-2-4 || 1-11/10-11/9-22/15 || utonal || | |||
|| 0-1-3-4 || 1-10/9-4/3-22/15 || otonal || | |||
|| 0-1-2-5 || 1-11/10-6/5-8/5 || otonal || | || 0-1-2-5 || 1-11/10-6/5-8/5 || otonal || | ||
|| 0- | || 0-1-3-5 || 1-11/10-4/3-8/5 || ptolemismic || | ||
|| 0-1-4-5 || 1-11/10-16/11-8/5 || biyatismic || | |||
|| 0-2-3-5 || 1-6/5-4/3-8/5 || ambitonal || | || 0-2-3-5 || 1-6/5-4/3-8/5 || ambitonal || | ||
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|| 0-1-2-5-11 || || ||</pre></div> | || 0-1-2-5-11 || || ||</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>Chords of porcupine</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Porcupine">porcupine temperament</a> that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.<br /> | <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>Chords of porcupine</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Porcupine">porcupine temperament</a> that do not have generator steps 7 or 13 as dyads. <span style="background-color: #ffffff;">Typing the chords requires consideration of the fact that porcupine conflates 10/9, 11/10 and 12/11 and also 16/9 and 7/4. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal.</span> If a chord is essentially tempered, the chord is analyzed in terms of the transversals 11/10, 6/5, 16/11 and 7/4. Chords that require only 64/63 tempering are marked archytas, by 100/99 ptolemismic, by 121/120 biyatismic, 176/175 valinorsmic, and by 385/384 keenanismic. Chords that require 64/63 and 176/175 tempering are marked ares, and 176/175 and 385/384 tempered chords are marked zeus. Chords that receive tempering by three independent commas above are labeled porcupine.<br /> | ||
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</td> | </td> | ||
<td>1-10/9-11/9-4/3<br /> | <td>1-10/9-11/9-4/3<br /> | ||
</td> | |||
<td>otonal<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0-1-2-4<br /> | |||
</td> | |||
<td>1-11/10-11/9-22/15<br /> | |||
</td> | |||
<td>utonal<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0-1-3-4<br /> | |||
</td> | |||
<td>1-10/9-4/3-22/15<br /> | |||
</td> | </td> | ||
<td>otonal<br /> | <td>otonal<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0- | <td>0-1-3-5<br /> | ||
</td> | |||
<td>1-11/10-4/3-8/5<br /> | |||
</td> | |||
<td>ptolemismic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0-1-4-5<br /> | |||
</td> | </td> | ||
<td>1- | <td>1-11/10-16/11-8/5<br /> | ||
</td> | </td> | ||
<td><br /> | <td>biyatismic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||