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Chromatic pairs: Difference between revisions

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Wikispaces>phylingual
**Imported revision 349884252 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 350597476 - 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>2012-07-02 20:39:07 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-06 02:51:49 UTC</tt>.<br>
: The original revision id was <tt>349884252</tt>.<br>
: The original revision id was <tt>350597476</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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Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]
Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]


[[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462
[[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.461


[[Gencom]]: [63/50 10/9; 250047/250000]
[[Gencom]]: [63/50 10/9; 250047/250000]
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Map: [&lt;3 0 -4|, &lt;0 1 2|]
Map: [&lt;3 0 -4|, &lt;0 1 2|]
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
Error: 0.0443 cents
[[Lp tuning#L2 tuning|L2 error]]: 0.0169 cents


Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
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Svalname: 3&amp;5
Svalname: 3&amp;5


POTE generator: ~13/10 = 455.062
POTE generator: ~13/10 = 455.012


[[Gencom]]: [2 13/10; 2200/2197]
[[Gencom]]: [2 13/10; 2200/2197]
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Map: [&lt;1 0 1|, &lt;0 3 1|]
Map: [&lt;1 0 1|, &lt;0 3 1|]
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
Error: 0.6258 cents
[[Lp tuning#L2 tuning|L2 error]]: 0.1745 cents


[[image:petrtri_385edo.png]]
[[image:petrtri_385edo.png]]
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Map: [&lt;1 2 4|, &lt;0 3 -2|]
Map: [&lt;1 2 4|, &lt;0 3 -2|]
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
Error: 0.7313
[[Lp tuning#L2 tuning|L2 error]]: 0.4197 cents


[[image:orgone_308edo.jpg]]
[[image:orgone_308edo.jpg]]
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Related temperament: [[xenharmonic/The Archipelago|barabados]]
Related temperament: [[xenharmonic/The Archipelago|barabados]]


POTE generator: ~15/13 = 248.285
POTE generator: ~15/13 = 248.399


[[Gencom]]: [2 15/13; 352/351 676/675]
[[Gencom]]: [2 15/13; 352/351 676/675]
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Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
EDOs: 5, 9, 14, 19, 24, 29
EDOs: 5, 9, 14, 19, 24, 29
Error: 0.8996 cents
[[Lp tuning#L2 tuning|L2 error]]: 0.3920 cents


[[image:bridgetown_29edo.png]]
[[image:bridgetown_29edo.png]]
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Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~10/9 = 182.462&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~10/9 = 182.461&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
Line 1,109: Line 1,109:
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
Error: 0.0443 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0169 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
Line 1,123: Line 1,123:
Svalname: 3&amp;amp;5&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/10 = 455.062&lt;br /&gt;
POTE generator: ~13/10 = 455.012&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 2200/2197]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 2200/2197]&lt;br /&gt;
Line 1,130: Line 1,130:
Map: [&amp;lt;1 0 1|, &amp;lt;0 3 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 3 1|]&lt;br /&gt;
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c&lt;br /&gt;
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c&lt;br /&gt;
Error: 0.6258 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.1745 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:188:&amp;lt;img src=&amp;quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:188 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:188:&amp;lt;img src=&amp;quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:188 --&gt;&lt;br /&gt;
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Map: [&amp;lt;1 2 4|, &amp;lt;0 3 -2|]&lt;br /&gt;
Map: [&amp;lt;1 2 4|, &amp;lt;0 3 -2|]&lt;br /&gt;
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308&lt;br /&gt;
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308&lt;br /&gt;
Error: 0.7313&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4197 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:189:&amp;lt;img src=&amp;quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:189 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:189:&amp;lt;img src=&amp;quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:189 --&gt;&lt;br /&gt;
Line 1,164: Line 1,164:
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~15/13 = 248.285&lt;br /&gt;
POTE generator: ~15/13 = 248.399&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 15/13; 352/351 676/675]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 15/13; 352/351 676/675]&lt;br /&gt;
Line 1,171: Line 1,171:
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
Error: 0.8996 cents&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.3920 cents&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:190:&amp;lt;img src=&amp;quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:190 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:190:&amp;lt;img src=&amp;quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:190 --&gt;&lt;br /&gt;
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