Aberschismic temperaments: Difference between revisions

Revision as of 12:36, 6 September 2011

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The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1> = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.

[[toc|flat]]
=Buzzard= 
Commas: 1728/1715, 5120/5103

[[POTE tuning|POTE generator]]: 475.636

Map: [<1 0 -6 4|, <0 4 21 -3|]
Wedgie: <<4 21 -3 24 -16 -66||
EDOs: 48, 53, 111, 164, 275

==11-limit== 
Commas: 176/175, 540/539, 5120/5103

[[POTE tuning|POTE generator]]: 475.700

Map: [<1 0 -6 4 -12|, <0 4 21 -3 39|]
EDOs: 53, 58, 111, 391

==13-limit== 
Commas: 176/175, 351/350, 540/539, 676/675

[[POTE tuning|POTE generator]]: 475.697

Map: [<1 0 -6 4 -12 -7|, <0 4 21 -3 39 27|]
EDOs: 53, 58, 111, 391, 502

==17-limit== 
Commas: 176/175, 256/255, 351/350, 442/441, 540/539

[[POTE tuning|POTE generator]]: 475.692

Map: [<1 0 -6 4 -12 -7 14|, <0 4 21 -3 39 27 -25|]
EDOs: 53, 58, 111, 613

=Undecental= 
Commas: 5120/5103, 235298/234375

[[POTE tuning|POTE generator]]: 703.039

Map: [<1 0 61 71|, <0 1 -37 -43|]
Wedgie: <<1 -37 -43 -61 -71 4||
EDOs: 12, 29, 70, 99

=Leapday= 
Commas: 686/675, 5120/5103

[[POTE tuning|POTE generator]]: 704.263

Map: [<1 0 -31 -21|, <0 1 21 15|]
Wedgie: <<1 21 15 31 21 -24||
EDOs: 29, 46, 305

==11-limit== 
Commas: 121/120, 441/440, 686/675

[[POTE tuning|POTE generator]]: 704.250

Map: [<1 0 -31 -21 -14|, <0 1 21 15 11|]
EDOs: 29, 46, 259

==13-limit== 
Commas: 91/90, 121/120, 169/168, 441/440

[[POTE tuning|POTE generator]]: 704.214

Map: [<1 0 -31 -21 -14 -9|, <0 1 21 15 11 8|]
EDOs: 29, 46, 167, 213, 380

=Mystery= 
Commas: 5120/5103, 50421/50000

[[POTE tuning|POTE generator]]: 388.646

Map: [<29 46 0 14|, <0 0 1 1|]
Wedgie: <<0 29 29 46 46 -14||
EDOs: 29, 58, 87, 145
Badness: 0.1037

==11-limit== 
Commas: 441/440, 896/891, 3388/3375

[[POTE tuning|POTE generator]]: 388.460

Map: [<29 46 0 14 33|, <0 0 1 1 1|]
EDOs: 29, 58, 87, 145
Badness: 0.0343

==13-limit== 
Commas: 196/195, 352/351, 364/363, 676/675

[[POTE tuning|POTE generator]]: 388.354

Map: [<29 46 0 14 33 40|, <0 0 1 1 1 1|]
EDOs: 29, 58, 87, 145, 377
Badness: 0.0186

=Quanic= 
Commas: 5120/5103, 5832000/5764801

POTE generator: ~160/147 = 140.493

Map: [<1 1 -4 0|, <0 5 54 24|]
EDOs: 94, 111, 205
Badness: 0.1795

==11-limit== 
Commas: 540/539, 1331/1323, 5120/5103

POTE generator: ~88/81 = 140.489

Map: [<1 1 -4 0 1|, <0 5 54 24 21|]
EDOs: 94, 111, 205
Badness: 0.0587

==13-limit== 
Commas: 352/351, 540/539, 729/728, 1331/1323

POTE generator: ~13/12 = 140.496

Map: [<1 1 -4 0 1 3|, <0 5 54 24 21 6|]
EDOs: 94, 111, 205
Badness: 0.0325

Original HTML content:

<html><head><title>Hemifamity temperaments</title></head><body>The hemifamity temperaments temper out the hemifamity comma, |10 -6 1 -1&gt; = 5120/5103. Belonging to it and considered below are buzzard, undecental, leapday, mystery and quanic. Other hemifamity temperaments are dominant, garibaldi, hemififths, amity, misty, rodan, countercata and kwai.<br />
<br />
<!-- ws:start:WikiTextTocRule:28:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><a href="#Buzzard">Buzzard</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Undecental">Undecental</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Leapday">Leapday</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#Mystery">Mystery</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --> | <a href="#Quanic">Quanic</a><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: -->
<!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Buzzard"></a><!-- ws:end:WikiTextHeadingRule:0 -->Buzzard</h1>
 Commas: 1728/1715, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 475.636<br />
<br />
Map: [&lt;1 0 -6 4|, &lt;0 4 21 -3|]<br />
Wedgie: &lt;&lt;4 21 -3 24 -16 -66||<br />
EDOs: 48, 53, 111, 164, 275<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Buzzard-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
 Commas: 176/175, 540/539, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 475.700<br />
<br />
Map: [&lt;1 0 -6 4 -12|, &lt;0 4 21 -3 39|]<br />
EDOs: 53, 58, 111, 391<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Buzzard-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
 Commas: 176/175, 351/350, 540/539, 676/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 475.697<br />
<br />
Map: [&lt;1 0 -6 4 -12 -7|, &lt;0 4 21 -3 39 27|]<br />
EDOs: 53, 58, 111, 391, 502<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Buzzard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h2>
 Commas: 176/175, 256/255, 351/350, 442/441, 540/539<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 475.692<br />
<br />
Map: [&lt;1 0 -6 4 -12 -7 14|, &lt;0 4 21 -3 39 27 -25|]<br />
EDOs: 53, 58, 111, 613<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Undecental"></a><!-- ws:end:WikiTextHeadingRule:8 -->Undecental</h1>
 Commas: 5120/5103, 235298/234375<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.039<br />
<br />
Map: [&lt;1 0 61 71|, &lt;0 1 -37 -43|]<br />
Wedgie: &lt;&lt;1 -37 -43 -61 -71 4||<br />
EDOs: 12, 29, 70, 99<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Leapday"></a><!-- ws:end:WikiTextHeadingRule:10 -->Leapday</h1>
 Commas: 686/675, 5120/5103<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.263<br />
<br />
Map: [&lt;1 0 -31 -21|, &lt;0 1 21 15|]<br />
Wedgie: &lt;&lt;1 21 15 31 21 -24||<br />
EDOs: 29, 46, 305<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Leapday-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2>
 Commas: 121/120, 441/440, 686/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.250<br />
<br />
Map: [&lt;1 0 -31 -21 -14|, &lt;0 1 21 15 11|]<br />
EDOs: 29, 46, 259<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Leapday-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2>
 Commas: 91/90, 121/120, 169/168, 441/440<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 704.214<br />
<br />
Map: [&lt;1 0 -31 -21 -14 -9|, &lt;0 1 21 15 11 8|]<br />
EDOs: 29, 46, 167, 213, 380<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Mystery"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mystery</h1>
 Commas: 5120/5103, 50421/50000<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.646<br />
<br />
Map: [&lt;29 46 0 14|, &lt;0 0 1 1|]<br />
Wedgie: &lt;&lt;0 29 29 46 46 -14||<br />
EDOs: 29, 58, 87, 145<br />
Badness: 0.1037<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Mystery-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
 Commas: 441/440, 896/891, 3388/3375<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.460<br />
<br />
Map: [&lt;29 46 0 14 33|, &lt;0 0 1 1 1|]<br />
EDOs: 29, 58, 87, 145<br />
Badness: 0.0343<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Mystery-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2>
 Commas: 196/195, 352/351, 364/363, 676/675<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 388.354<br />
<br />
Map: [&lt;29 46 0 14 33 40|, &lt;0 0 1 1 1 1|]<br />
EDOs: 29, 58, 87, 145, 377<br />
Badness: 0.0186<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Quanic"></a><!-- ws:end:WikiTextHeadingRule:22 -->Quanic</h1>
 Commas: 5120/5103, 5832000/5764801<br />
<br />
POTE generator: ~160/147 = 140.493<br />
<br />
Map: [&lt;1 1 -4 0|, &lt;0 5 54 24|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.1795<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Quanic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2>
 Commas: 540/539, 1331/1323, 5120/5103<br />
<br />
POTE generator: ~88/81 = 140.489<br />
<br />
Map: [&lt;1 1 -4 0 1|, &lt;0 5 54 24 21|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0587<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Quanic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h2>
 Commas: 352/351, 540/539, 729/728, 1331/1323<br />
<br />
POTE generator: ~13/12 = 140.496<br />
<br />
Map: [&lt;1 1 -4 0 1 3|, &lt;0 5 54 24 21 6|]<br />
EDOs: 94, 111, 205<br />
Badness: 0.0325</body></html>

Aberschismic temperaments: Difference between revisions

Revision as of 12:36, 6 September 2011

IMPORTED REVISION FROM WIKISPACES

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