Marveltwin: Difference between revisions
Wikispaces>genewardsmith **Imported revision 238036939 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 238052943 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-06-21 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-21 18:18:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>238052943</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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13-limit eigenmonzo subgroup: 2.7.11/5.13/5 | 13-limit eigenmonzo subgroup: 2.7.11/5.13/5 | ||
15-limit eigenmonzo subgroup: 2.7.15/11.15/13 | 15-limit eigenmonzo subgroup: 2.7.15/11.15/13 | ||
[[Spectrum of a temperament|Spectrum]]: 4/3, 5/4, 6/5, 16/15, 15/14, 9/8, 10/9, 7/5, 9/7, 7/6, 18/13, 8/7, 13/12, 16/13, 11/8, 12/11, 15/13, 11/10, 15/11, 11/9, 13/10, 14/13, 14/11, 13/11 | |||
Map: | Map: | ||
| Line 47: | Line 49: | ||
|| <0 0 0 0 1 0]] || | || <0 0 0 0 1 0]] || | ||
Edos: 12, 19, 41, 53, 72, 166 | Edos: 12, 19, 41, 53, 72, 166 | ||
10^6 * Badness: 3.668 | |||
==385/384== | ==385/384== | ||
Spectrum: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 11/8, 7/6, 12/11, 16/15, 18/13, 13/12, 9/7, 7/5, 16/13, 11/9, 11/10, 13/11, 14/13, 15/14, 15/11, 13/10, 15/13, 14/11 | |||
Edos: 7, 15, 19, 26, 34, 41, 46, 53, 72, 87, 140, 159, 212, 299 | |||
10^6 * Badness: 2.206 | |||
==364/363== | ==364/363== | ||
Spectrum: 4/3, 6/5, 10/9, 11/8, 5/4, 12/11, 14/11, 9/8, 13/11, 11/9, 8/7, 13/12, 18/13, 16/15, 7/6, 11/10, 7/5, 16/13, 9/7, 15/11, 15/14, 13/10, 15/13, 14/13 | |||
Edos: 15, 26, 41, 46, 72, 87, 121, 159, 193, 239, 280 | |||
10^6 * Badness: 3.011 | |||
==441/440== | ==441/440== | ||
Spectrum: 4/3, 6/5, 8/7, 10/9, 14/11, 5/4, 7/6, 9/8, 7/5, 16/15, 13/12, 18/13, 9/7, 11/8, 12/11, 15/14, 16/13, 11/9, 11/10, 13/11, 15/11, 14/13, 13/10, 15/13 | |||
Edos: 12, 15, 26, 41, 46, 72, 87, 159 | |||
10^6 * Badness: 3.037 | |||
==169/168== | ==169/168== | ||
Spectrum: 10/9, 6/5, 4/3, 14/13, 13/12, 16/13, 5/4, 18/13, 9/8, 13/10, 8/7, 7/6, 15/13, 16/15, 9/7, 7/5, 11/8, 12/11, 13/11, 11/10, 15/14, 11/9, 14/11, 15/11 | |||
Edos: 7, 19, 26, 46, 53, 72, 152 | |||
10^6 * Badness: 2.975 | |||
==540/539== | ==540/539== | ||
Spectrum: 4/3, 6/5, 7/6, 9/7, 10/9, 5/4, 7/5, 9/8, 15/14, 8/7, 16/15, 18/13, 13/12, 12/11, 11/9, 11/10, 11/8, 15/11, 16/13, 14/13, 15/13, 13/10, 13/11, 14/11 | |||
Edos: 19, 41, 53, 72, 121, 166, 193 | |||
10^6 * Badness: 3.281 | |||
==352/351== | ==352/351== | ||
Spectrum: 4/3, 10/9, 6/5, 9/8, 5/4, 13/11, 16/13, 11/9, 13/12, 12/11, 16/15, 18/13, 8/7, 7/6, 11/8, 9/7, 15/11, 11/10, 7/5, 14/13, 13/10, 15/14, 14/11, 15/13 | |||
Edos: 7, 34, 41, 46, 53, 80, 87, 121, 140, 261, 358, 401 | |||
10^6 * Badness: 3.434 | |||
==625/624== | ==625/624== | ||
Spectrum: 6/5, 18/13, 15/13, 5/4, 4/3, 10/9, 13/12, 13/10, 16/15, 9/8, 16/13, 8/7, 7/5, 7/6, 15/14, 11/8, 9/7, 11/10, 12/11, 14/13, 15/11, 11/9, 13/11, 14/11 | |||
Edos: 15, 19, 34, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 | |||
10^6 * Badness: 3.563 | |||
=Rank three= | =Rank three= | ||
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13-limit eigenmonzo subgroup: 2.7.11/5.13/5<br /> | 13-limit eigenmonzo subgroup: 2.7.11/5.13/5<br /> | ||
15-limit eigenmonzo subgroup: 2.7.15/11.15/13<br /> | 15-limit eigenmonzo subgroup: 2.7.15/11.15/13<br /> | ||
<br /> | |||
<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 4/3, 5/4, 6/5, 16/15, 15/14, 9/8, 10/9, 7/5, 9/7, 7/6, 18/13, 8/7, 13/12, 16/13, 11/8, 12/11, 15/13, 11/10, 15/11, 11/9, 13/10, 14/13, 14/11, 13/11<br /> | |||
<br /> | <br /> | ||
Map:<br /> | Map:<br /> | ||
| Line 180: | Line 220: | ||
Edos: 12, 19, 41, 53, 72, 166<br /> | Edos: 12, 19, 41, 53, 72, 166<br /> | ||
10^6 * Badness: 3.668<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Rank four-385/384"></a><!-- ws:end:WikiTextHeadingRule:8 -->385/384</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Rank four-385/384"></a><!-- ws:end:WikiTextHeadingRule:8 -->385/384</h2> | ||
<br /> | |||
Spectrum: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 11/8, 7/6, 12/11, 16/15, 18/13, 13/12, 9/7, 7/5, 16/13, 11/9, 11/10, 13/11, 14/13, 15/14, 15/11, 13/10, 15/13, 14/11<br /> | |||
<br /> | |||
Edos: 7, 15, 19, 26, 34, 41, 46, 53, 72, 87, 140, 159, 212, 299<br /> | |||
10^6 * Badness: 2.206<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Rank four-364/363"></a><!-- ws:end:WikiTextHeadingRule:10 -->364/363</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Rank four-364/363"></a><!-- ws:end:WikiTextHeadingRule:10 -->364/363</h2> | ||
<br /> | |||
Spectrum: 4/3, 6/5, 10/9, 11/8, 5/4, 12/11, 14/11, 9/8, 13/11, 11/9, 8/7, 13/12, 18/13, 16/15, 7/6, 11/10, 7/5, 16/13, 9/7, 15/11, 15/14, 13/10, 15/13, 14/13<br /> | |||
<br /> | |||
Edos: 15, 26, 41, 46, 72, 87, 121, 159, 193, 239, 280<br /> | |||
10^6 * Badness: 3.011<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Rank four-441/440"></a><!-- ws:end:WikiTextHeadingRule:12 -->441/440</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Rank four-441/440"></a><!-- ws:end:WikiTextHeadingRule:12 -->441/440</h2> | ||
<br /> | |||
Spectrum: 4/3, 6/5, 8/7, 10/9, 14/11, 5/4, 7/6, 9/8, 7/5, 16/15, 13/12, 18/13, 9/7, 11/8, 12/11, 15/14, 16/13, 11/9, 11/10, 13/11, 15/11, 14/13, 13/10, 15/13<br /> | |||
<br /> | |||
Edos: 12, 15, 26, 41, 46, 72, 87, 159<br /> | |||
10^6 * Badness: 3.037<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Rank four-169/168"></a><!-- ws:end:WikiTextHeadingRule:14 -->169/168</h2> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Rank four-169/168"></a><!-- ws:end:WikiTextHeadingRule:14 -->169/168</h2> | ||
<br /> | |||
Spectrum: 10/9, 6/5, 4/3, 14/13, 13/12, 16/13, 5/4, 18/13, 9/8, 13/10, 8/7, 7/6, 15/13, 16/15, 9/7, 7/5, 11/8, 12/11, 13/11, 11/10, 15/14, 11/9, 14/11, 15/11<br /> | |||
<br /> | |||
Edos: 7, 19, 26, 46, 53, 72, 152<br /> | |||
10^6 * Badness: 2.975<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Rank four-540/539"></a><!-- ws:end:WikiTextHeadingRule:16 -->540/539</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Rank four-540/539"></a><!-- ws:end:WikiTextHeadingRule:16 -->540/539</h2> | ||
<br /> | |||
Spectrum: 4/3, 6/5, 7/6, 9/7, 10/9, 5/4, 7/5, 9/8, 15/14, 8/7, 16/15, 18/13, 13/12, 12/11, 11/9, 11/10, 11/8, 15/11, 16/13, 14/13, 15/13, 13/10, 13/11, 14/11<br /> | |||
<br /> | |||
Edos: 19, 41, 53, 72, 121, 166, 193<br /> | |||
10^6 * Badness: 3.281<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Rank four-352/351"></a><!-- ws:end:WikiTextHeadingRule:18 -->352/351</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Rank four-352/351"></a><!-- ws:end:WikiTextHeadingRule:18 -->352/351</h2> | ||
<br /> | |||
Spectrum: 4/3, 10/9, 6/5, 9/8, 5/4, 13/11, 16/13, 11/9, 13/12, 12/11, 16/15, 18/13, 8/7, 7/6, 11/8, 9/7, 15/11, 11/10, 7/5, 14/13, 13/10, 15/14, 14/11, 15/13<br /> | |||
<br /> | |||
Edos: 7, 34, 41, 46, 53, 80, 87, 121, 140, 261, 358, 401<br /> | |||
10^6 * Badness: 3.434<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Rank four-625/624"></a><!-- ws:end:WikiTextHeadingRule:20 -->625/624</h2> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Rank four-625/624"></a><!-- ws:end:WikiTextHeadingRule:20 -->625/624</h2> | ||
<br /> | |||
Spectrum: 6/5, 18/13, 15/13, 5/4, 4/3, 10/9, 13/12, 13/10, 16/15, 9/8, 16/13, 8/7, 7/5, 7/6, 15/14, 11/8, 9/7, 11/10, 12/11, 14/13, 15/11, 11/9, 13/11, 14/11<br /> | |||
<br /> | |||
Edos: 15, 19, 34, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333<br /> | |||
10^6 * Badness: 3.563<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Rank three"></a><!-- ws:end:WikiTextHeadingRule:22 -->Rank three</h1> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Rank three"></a><!-- ws:end:WikiTextHeadingRule:22 -->Rank three</h1> | ||