Starling family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 274568394 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 282626522 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-05 19:39:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>282626522</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">The head of the starling [[family]] is starling, which tempers out [[126_125|126/125]], the [[starling comma]] or [[septimal semicomma]]. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by [[77edo]]. Other possible tunings are [[108edo]] and [[185edo]], and the nonpatent [[135edo]] val <135 214 314 379|. | <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">[[toc|flat]] | ||
The head of the starling [[family]] is starling, which tempers out [[126_125|126/125]], the [[starling comma]] or [[septimal semicomma]]. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by [[77edo]]. Other possible tunings are [[108edo]] and [[185edo]], and the nonpatent [[135edo]] val <135 214 314 379|. | |||
In starling, (6/5)^3 = 126/125 * 12/7, and minor thirds/major sixths are low complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5-6/5-6/5-7/6 versions of the diminished seventh chord which is very characteristic of it. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds. | In starling, (6/5)^3 = 126/125 * 12/7, and minor thirds/major sixths are low complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5-6/5-6/5-7/6 versions of the diminished seventh chord which is very characteristic of it. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds. | ||
| Line 12: | Line 14: | ||
Because no appreciable tuning accuracy is lost by including 1029/1024 along with 126/125 in the comma list, which leads to [[Starling temperaments|valentine temperament]], there is a close relationship between the two. Even if tempering a 5-limit scale, one can assume valentine tempering. | Because no appreciable tuning accuracy is lost by including 1029/1024 along with 126/125 in the comma list, which leads to [[Starling temperaments|valentine temperament]], there is a close relationship between the two. Even if tempering a 5-limit scale, one can assume valentine tempering. | ||
= | =7-limit starling= | ||
[[Comma]] c = 126/125 | [[Comma]] c = 126/125 | ||
| Line 32: | Line 34: | ||
Scales: [[starling7]], [[starling8]], [[starling9]], [[starling11]], [[starling12]], [[starling15]], [[starling16]], [[starling17]], [[starling19]] | Scales: [[starling7]], [[starling8]], [[starling9]], [[starling11]], [[starling12]], [[starling15]], [[starling16]], [[starling17]], [[starling19]] | ||
==[[Minkowski blocks]]== | |||
7: 25/24, 81/80 | 7: 25/24, 81/80 | ||
8: 16/15, 648/625 | 8: 16/15, 648/625 | ||
| Line 47: | Line 49: | ||
34: 15625/15552, 2048/2025 | 34: 15625/15552, 2048/2025 | ||
=Thrush= | |||
[[Comma|Commas]]: 126/125, 176/175 | [[Comma|Commas]]: 126/125, 176/175 | ||
Associated linear temperament: [[Starling temperaments|myna]] | Associated linear temperament: [[Starling temperaments|myna]] | ||
| Line 70: | Line 71: | ||
Scales: [[thrush12]] | Scales: [[thrush12]] | ||
==13-limit== | |||
Commas: 126/125, 176/175, 196/195 | Commas: 126/125, 176/175, 196/195 | ||
| Line 77: | Line 78: | ||
Badness: 0.000677 | Badness: 0.000677 | ||
==Bluebird== | |||
Commas 126/125, 176/175, 144/143 | Commas 126/125, 176/175, 144/143 | ||
| Line 86: | Line 87: | ||
Projection pairs: 7 125/18 11 3125/288 13 41472/3125 | Projection pairs: 7 125/18 11 3125/288 13 41472/3125 | ||
==Nightingale== | |||
Commas: 126/125, 176/175, 66/65 | Commas: 126/125, 176/175, 66/65 | ||
| Line 93: | Line 94: | ||
Badness: 0.000837 | Badness: 0.000837 | ||
=Thrasher= | |||
[[Comma|Commas]]: 56/55, 100/99 | [[Comma|Commas]]: 56/55, 100/99 | ||
| Line 111: | Line 112: | ||
Badness: 0.000480 | Badness: 0.000480 | ||
==13-limit== | |||
Commas: 126/125, 100/99, 91/90 | Commas: 126/125, 100/99, 91/90 | ||
| Line 118: | Line 119: | ||
Badness: 0.000876 | Badness: 0.000876 | ||
==Mockingbird== | |||
Commas: 126/125, 100/99, 40/39 | Commas: 126/125, 100/99, 40/39 | ||
| Line 125: | Line 126: | ||
Badness: 0.000859 | Badness: 0.000859 | ||
==Catbird== | |||
Commas: 126/125, 100/99, 78/77 | Commas: 126/125, 100/99, 78/77 | ||
| Line 132: | Line 133: | ||
Badness: 0.000905 | Badness: 0.000905 | ||
=Aplonis= | |||
Commas: 126/125, 540/539 | Commas: 126/125, 540/539 | ||
| Line 139: | Line 140: | ||
Badness: 0.000648 | Badness: 0.000648 | ||
==13-limit== | |||
Commas: 126/125, 144/143, 196/195 | Commas: 126/125, 144/143, 196/195 | ||
Map: [<1 0 0 -1 4 0|, <0 1 0 -2 7 -5|, <0 0 1 3 -5 5|] | Map: [<1 0 0 -1 4 0|, <0 1 0 -2 7 -5|, <0 0 1 3 -5 5|] | ||
EDOs: 19, 31, 41, 43, 50, 58, 89f, 125ce, 135ce, 147cf, 166cef, 224cef | EDOs: 19, 31, 41, 43, 50, 58, 89f, 125ce, 135ce, 147cf, 166cef, 224cef | ||
Badness: 0.000821</pre></div> | Badness: 0.000821 | ||
=Oxpecker= | |||
Commas: 121/120, 126/125 | |||
Map: [<1 0 1 2 2|, <0 1 1 1 1|, <0 0 -2 -6 -1|] | |||
EDOs: 15, 31, 46, 77, 185e, 262cde | |||
Badness: 0.000699 | |||
==Woodpecker== | |||
Commas: 66/65, 121/120, 126/125 | |||
Map: [<1 0 1 2 2 2|, <0 1 1 1 1 1|, <0 0 -2 -6 -1 -1|] | |||
EDOs: 15, 31, 46f, 70f, 101f | |||
Badness: 0.001093</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>Starling family</title></head><body>The head of the starling <a class="wiki_link" href="/family">family</a> is starling, which tempers out <a class="wiki_link" href="/126_125">126/125</a>, the <a class="wiki_link" href="/starling%20comma">starling comma</a> or <a class="wiki_link" href="/septimal%20semicomma">septimal semicomma</a>. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by <a class="wiki_link" href="/77edo">77edo</a>. Other possible tunings are <a class="wiki_link" href="/108edo">108edo</a> and <a class="wiki_link" href="/185edo">185edo</a>, and the nonpatent <a class="wiki_link" href="/135edo">135edo</a> val &lt;135 214 314 379|.<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>Starling family</title></head><body><!-- 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="#x7-limit starling">7-limit starling</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | <a href="#Thrush">Thrush</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Thrasher">Thrasher</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Aplonis">Aplonis</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Oxpecker">Oxpecker</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | ||
<!-- ws:end:WikiTextTocRule:43 --><br /> | |||
The head of the starling <a class="wiki_link" href="/family">family</a> is starling, which tempers out <a class="wiki_link" href="/126_125">126/125</a>, the <a class="wiki_link" href="/starling%20comma">starling comma</a> or <a class="wiki_link" href="/septimal%20semicomma">septimal semicomma</a>. Starling has a normal list basis of [2, 3, 5]; hence a 5-limit scale can be converted to starling simply by tempering it. One way to do that, and an excellent starling tuning, is given by <a class="wiki_link" href="/77edo">77edo</a>. Other possible tunings are <a class="wiki_link" href="/108edo">108edo</a> and <a class="wiki_link" href="/185edo">185edo</a>, and the nonpatent <a class="wiki_link" href="/135edo">135edo</a> val &lt;135 214 314 379|.<br /> | |||
<br /> | <br /> | ||
In starling, (6/5)^3 = 126/125 * 12/7, and minor thirds/major sixths are low complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5-6/5-6/5-7/6 versions of the diminished seventh chord which is very characteristic of it. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds.<br /> | In starling, (6/5)^3 = 126/125 * 12/7, and minor thirds/major sixths are low complexity intervals. A suitable 5-limit scale to temper via starling will be one where there are chains of minor thirds. Starling has a 6/5-6/5-6/5-7/6 versions of the diminished seventh chord which is very characteristic of it. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds.<br /> | ||
| Line 152: | Line 169: | ||
Because no appreciable tuning accuracy is lost by including 1029/1024 along with 126/125 in the comma list, which leads to <a class="wiki_link" href="/Starling%20temperaments">valentine temperament</a>, there is a close relationship between the two. Even if tempering a 5-limit scale, one can assume valentine tempering.<br /> | Because no appreciable tuning accuracy is lost by including 1029/1024 along with 126/125 in the comma list, which leads to <a class="wiki_link" href="/Starling%20temperaments">valentine temperament</a>, there is a close relationship between the two. Even if tempering a 5-limit scale, one can assume valentine tempering.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x7-limit starling"></a><!-- ws:end:WikiTextHeadingRule:0 -->7-limit starling</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a> c = 126/125<br /> | <a class="wiki_link" href="/Comma">Comma</a> c = 126/125<br /> | ||
<br /> | <br /> | ||
| Line 172: | Line 189: | ||
Scales: <a class="wiki_link" href="/starling7">starling7</a>, <a class="wiki_link" href="/starling8">starling8</a>, <a class="wiki_link" href="/starling9">starling9</a>, <a class="wiki_link" href="/starling11">starling11</a>, <a class="wiki_link" href="/starling12">starling12</a>, <a class="wiki_link" href="/starling15">starling15</a>, <a class="wiki_link" href="/starling16">starling16</a>, <a class="wiki_link" href="/starling17">starling17</a>, <a class="wiki_link" href="/starling19">starling19</a><br /> | Scales: <a class="wiki_link" href="/starling7">starling7</a>, <a class="wiki_link" href="/starling8">starling8</a>, <a class="wiki_link" href="/starling9">starling9</a>, <a class="wiki_link" href="/starling11">starling11</a>, <a class="wiki_link" href="/starling12">starling12</a>, <a class="wiki_link" href="/starling15">starling15</a>, <a class="wiki_link" href="/starling16">starling16</a>, <a class="wiki_link" href="/starling17">starling17</a>, <a class="wiki_link" href="/starling19">starling19</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x7-limit starling-Minkowski blocks"></a><!-- ws:end:WikiTextHeadingRule:2 --><a class="wiki_link" href="/Minkowski%20blocks">Minkowski blocks</a></h2> | ||
7: 25/24, 81/80<br /> | 7: 25/24, 81/80<br /> | ||
8: 16/15, 648/625<br /> | 8: 16/15, 648/625<br /> | ||
| Line 187: | Line 204: | ||
34: 15625/15552, 2048/2025<br /> | 34: 15625/15552, 2048/2025<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Thrush"></a><!-- ws:end:WikiTextHeadingRule:4 -->Thrush</h1> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt; | |||
<a class="wiki_link" href="/Comma">Commas</a>: 126/125, 176/175<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 126/125, 176/175<br /> | ||
Associated linear temperament: <a class="wiki_link" href="/Starling%20temperaments">myna</a><br /> | Associated linear temperament: <a class="wiki_link" href="/Starling%20temperaments">myna</a><br /> | ||
| Line 210: | Line 226: | ||
Scales: <a class="wiki_link" href="/thrush12">thrush12</a><br /> | Scales: <a class="wiki_link" href="/thrush12">thrush12</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Thrush-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 126/125, 176/175, 196/195<br /> | Commas: 126/125, 176/175, 196/195<br /> | ||
<br /> | <br /> | ||
| Line 217: | Line 233: | ||
Badness: 0.000677<br /> | Badness: 0.000677<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt; | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Thrush-Bluebird"></a><!-- ws:end:WikiTextHeadingRule:8 -->Bluebird</h2> | ||
Commas 126/125, 176/175, 144/143<br /> | Commas 126/125, 176/175, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 226: | Line 242: | ||
Projection pairs: 7 125/18 11 3125/288 13 41472/3125<br /> | Projection pairs: 7 125/18 11 3125/288 13 41472/3125<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt; | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Thrush-Nightingale"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nightingale</h2> | ||
Commas: 126/125, 176/175, 66/65<br /> | Commas: 126/125, 176/175, 66/65<br /> | ||
<br /> | <br /> | ||
| Line 233: | Line 249: | ||
Badness: 0.000837<br /> | Badness: 0.000837<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt; | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Thrasher"></a><!-- ws:end:WikiTextHeadingRule:12 -->Thrasher</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 56/55, 100/99<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 56/55, 100/99<br /> | ||
<br /> | <br /> | ||
| Line 251: | Line 267: | ||
Badness: 0.000480<br /> | Badness: 0.000480<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt; | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Thrasher-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h2> | ||
Commas: 126/125, 100/99, 91/90<br /> | Commas: 126/125, 100/99, 91/90<br /> | ||
<br /> | <br /> | ||
| Line 258: | Line 274: | ||
Badness: 0.000876<br /> | Badness: 0.000876<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt; | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Thrasher-Mockingbird"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mockingbird</h2> | ||
Commas: 126/125, 100/99, 40/39<br /> | Commas: 126/125, 100/99, 40/39<br /> | ||
<br /> | <br /> | ||
| Line 265: | Line 281: | ||
Badness: 0.000859<br /> | Badness: 0.000859<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt; | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Thrasher-Catbird"></a><!-- ws:end:WikiTextHeadingRule:18 -->Catbird</h2> | ||
Commas: 126/125, 100/99, 78/77<br /> | Commas: 126/125, 100/99, 78/77<br /> | ||
<br /> | <br /> | ||
| Line 272: | Line 288: | ||
Badness: 0.000905<br /> | Badness: 0.000905<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt; | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Aplonis"></a><!-- ws:end:WikiTextHeadingRule:20 -->Aplonis</h1> | ||
Commas: 126/125, 540/539<br /> | Commas: 126/125, 540/539<br /> | ||
<br /> | <br /> | ||
| Line 279: | Line 295: | ||
Badness: 0.000648<br /> | Badness: 0.000648<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt; | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Aplonis-13-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->13-limit</h2> | ||
Commas: 126/125, 144/143, 196/195<br /> | Commas: 126/125, 144/143, 196/195<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 -1 4 0|, &lt;0 1 0 -2 7 -5|, &lt;0 0 1 3 -5 5|]<br /> | Map: [&lt;1 0 0 -1 4 0|, &lt;0 1 0 -2 7 -5|, &lt;0 0 1 3 -5 5|]<br /> | ||
EDOs: 19, 31, 41, 43, 50, 58, 89f, 125ce, 135ce, 147cf, 166cef, 224cef<br /> | EDOs: 19, 31, 41, 43, 50, 58, 89f, 125ce, 135ce, 147cf, 166cef, 224cef<br /> | ||
Badness: 0.000821</body></html></pre></div> | Badness: 0.000821<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Oxpecker"></a><!-- ws:end:WikiTextHeadingRule:24 -->Oxpecker</h1> | |||
Commas: 121/120, 126/125<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 2 2|, &lt;0 1 1 1 1|, &lt;0 0 -2 -6 -1|]<br /> | |||
EDOs: 15, 31, 46, 77, 185e, 262cde<br /> | |||
Badness: 0.000699<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Oxpecker-Woodpecker"></a><!-- ws:end:WikiTextHeadingRule:26 -->Woodpecker</h2> | |||
Commas: 66/65, 121/120, 126/125<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 2 2 2|, &lt;0 1 1 1 1 1|, &lt;0 0 -2 -6 -1 -1|]<br /> | |||
EDOs: 15, 31, 46f, 70f, 101f <br /> | |||
Badness: 0.001093</body></html></pre></div> | |||