Mint temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36/35|36/35]]. 36 is [http://en.wikipedia.org/wiki/Square_triangular_number both] a [http://mathworld.wolfram.com/SquareNumber.html square] and a [http://en.wikipedia.org/wiki/Triangular_number triangular number], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-17 15:46:38 UTC</tt>.<br>
: The original revision id was <tt>336772140</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>
<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">[[toc|flat]]
 
These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|36/35]]. 36 is [[http://en.wikipedia.org/wiki/Square_triangular_number|both]] a [[http://mathworld.wolfram.com/SquareNumber.html|square]] and a [[http://en.wikipedia.org/wiki/Triangular_number|triangular number]], and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.


=Progression=
=Progression=
Line 16: Line 8:


Map: [&lt;1 1 2|, &lt;0 5 3|]
Map: [&lt;1 1 2|, &lt;0 5 3|]
EDOs: 8, 9, 17c
EDOs: 8, 9, 17c
Badness: 0.2005
Badness: 0.2005


Line 25: Line 19:


Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]
Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]
Wedgie: &lt;&lt;5 3 7 -7 -3 8||
Wedgie: &lt;&lt;5 3 7 -7 -3 8||
EDOs: 9, 17c
EDOs: 9, 17c
Badness: 0.0484
Badness: 0.0484


Line 32: Line 29:
Commas: 36/35, 56/55, 77/75
Commas: 36/35, 56/55, 77/75


[[POTE tuning|POTE generator]]: ~15/14 = 140.747
[[POTE_tuning|POTE generator]]: ~15/14 = 140.747


Map: [&lt;1 1 2 2 3|, &lt;0 5 3 7 4|]
Map: [&lt;1 1 2 2 3|, &lt;0 5 3 7 4|]
EDOs: 8, 9, 17
EDOs: 8, 9, 17
Badness: 0.0261
Badness: 0.0261


Line 41: Line 40:
Commas: 26/25, 36/35, 56/55, 66/65
Commas: 26/25, 36/35, 56/55, 66/65


[[POTE tuning|POTE generator]]: ~15/14 = 140.751
[[POTE_tuning|POTE generator]]: ~15/14 = 140.751


Map: Map: [&lt;1 1 2 2 3 3|, &lt;0 5 3 7 4 6|]
Map: Map: [&lt;1 1 2 2 3 3|, &lt;0 5 3 7 4 6|]
EDOs: 8, 9, 17
EDOs: 8, 9, 17
Badness: 0.0182
Badness: 0.0182


Line 50: Line 51:
Commas: 26/25, 36/35, 51/50, 56/55, 66/65
Commas: 26/25, 36/35, 51/50, 56/55, 66/65


[[POTE tuning|POTE generator]]: ~15/14 = 141.404
[[POTE_tuning|POTE generator]]: ~15/14 = 141.404


Map: [&lt;1 1 2 2 3 3 4|, &lt;0 5 3 7 4 6 1|]
Map: [&lt;1 1 2 2 3 3 4|, &lt;0 5 3 7 4 6 1|]
EDOs: 8, 9, 17
EDOs: 8, 9, 17
Badness: 0.0167
Badness: 0.0167


Line 59: Line 62:
Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65
Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65


[[POTE tuning|POTE generator]]: ~15/14 = 140.479
[[POTE_tuning|POTE generator]]: ~15/14 = 140.479


Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]
Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]
EDOs: 8, 9, 17, [[94edo|94]]
EDOs: 8, 9, 17, [[94edo|94]]
Badness: 0.0168
Badness: 0.0168


Line 71: Line 76:


Map: [&lt;1 2 3|, &lt;0 -5 -8|]
Map: [&lt;1 2 3|, &lt;0 -5 -8|]
EDOs: 12, 71b, 83b, 95b, 107bc, 119bc
EDOs: 12, 71b, 83b, 95b, 107bc, 119bc
Badness: 0.1389
Badness: 0.1389


Line 77: Line 84:
Commas: 36/35, 2560/2401
Commas: 36/35, 2560/2401


[[POTE tuning|POTE generator]]: ~21/20 = 99.483
[[POTE_tuning|POTE generator]]: ~21/20 = 99.483


Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]
Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]
Wedgie: &lt;&lt;5 8 2 1 -11 -18||
Wedgie: &lt;&lt;5 8 2 1 -11 -18||
EDOs: [[12edo|12]], [[23edo|23]]
EDOs: [[12edo|12]], [[23edo|23]]
Badness: 0.0597
Badness: 0.0597


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Map: [&lt;1 2 3 3 4|, &lt;0 -5 -8 -2 -6|]
Map: [&lt;1 2 3 3 4|, &lt;0 -5 -8 -2 -6|]
EDOs: 12
EDOs: 12
Badness: 0.0388
Badness: 0.0388


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Map: [&lt;1 2 3 3 4 4|, &lt;0 -5 -8 -2 -6 -3|]
Map: [&lt;1 2 3 3 4 4|, &lt;0 -5 -8 -2 -6 -3|]
EDOs: 12f
EDOs: 12f
Badness: 0.0316
Badness: 0.0316


Line 108: Line 122:


Map: [&lt;1 3 2|, &lt;0 -4 1|]
Map: [&lt;1 3 2|, &lt;0 -4 1|]
EDOs: 11, 14, 17c, 20c, 37c
EDOs: 11, 14, 17c, 20c, 37c
Badness: 0.179
Badness: 0.179


Line 117: Line 133:


Map: [&lt;1 3 2 6|, &lt;0 -4 1 -9|]
Map: [&lt;1 3 2 6|, &lt;0 -4 1 -9|]
Wedgie: &lt;&lt;4 -1 9 -11 3 24||
Wedgie: &lt;&lt;4 -1 9 -11 3 24||
EDOs: 14, 17c, 37cd
EDOs: 14, 17c, 37cd
Badness: 0.0779
Badness: 0.0779


Line 127: Line 146:


Map: [&lt;1 3 2 6 7|, &lt;0 -4 1 -9 -10|]
Map: [&lt;1 3 2 6 7|, &lt;0 -4 1 -9 -10|]
EDOs: 14, 17c, 37cde
EDOs: 14, 17c, 37cde
Badness: 0.0425
Badness: 0.0425


Line 136: Line 157:


Map: [&lt;1 3 2 6 7 3|, &lt;0 -4 1 -9 -10 2|]
Map: [&lt;1 3 2 6 7 3|, &lt;0 -4 1 -9 -10 2|]
EDOs: 14, 17c
EDOs: 14, 17c
Badness: 0.0368
Badness: 0.0368


Line 145: Line 168:


Map: [&lt;1 3 2 3|, &lt;0 -8 2 -1|]
Map: [&lt;1 3 2 3|, &lt;0 -8 2 -1|]
Wedgie: &lt;&lt;8 -2 1 -22 -21 8||
Wedgie: &lt;&lt;8 -2 1 -22 -21 8||
EDOs: 6, 11, 17c, 40bcd
EDOs: 6, 11, 17c, 40bcd
Badness: 0.1543
Badness: 0.1543


Line 155: Line 181:


Map: [&lt;1 3 2 3 4|, &lt;0 -8 2 -1 -3|]
Map: [&lt;1 3 2 3 4|, &lt;0 -8 2 -1 -3|]
EDOs: 6, 11, 17c, 40bcde
EDOs: 6, 11, 17c, 40bcde
Badness: 0.0655
Badness: 0.0655


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Map: [&lt;1 3 2 3 4 3|, &lt;0 -8 2 -1 -3 4|]
Map: [&lt;1 3 2 3 4 3|, &lt;0 -8 2 -1 -3 4|]
EDOs: 6, 11, 17c
EDOs: 6, 11, 17c
Badness: 0.0505
Badness: 0.0505


Line 173: Line 203:


Map: [&lt;1 3 4|, &lt;0 -6 -7|]
Map: [&lt;1 3 4|, &lt;0 -6 -7|]
EDOs: 4, 17c, 21, 38c
EDOs: 4, 17c, 21, 38c
Badness: 0.3559
Badness: 0.3559


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Map: [&lt;1 3 4 4|, &lt;0 -6 -7 -5|]
Map: [&lt;1 3 4 4|, &lt;0 -6 -7 -5|]
Wedgie: &lt;&lt;6 7 5 -3 -9 -8||
Wedgie: &lt;&lt;6 7 5 -3 -9 -8||
EDOs: 4, 17c, 21, 38c
EDOs: 4, 17c, 21, 38c
Badness: 0.0611
Badness: 0.0611


Line 192: Line 227:


Map: [&lt;1 3 4 4 7|, &lt;0 -6 -7 -5 -15|]
Map: [&lt;1 3 4 4 7|, &lt;0 -6 -7 -5 -15|]
EDOs: 17c, 55cd
EDOs: 17c, 55cd
Badness: 0.0447
Badness: 0.0447


Line 201: Line 238:


Map: [&lt;1 3 4 4 3|, &lt;0 -6 -7 -5 2|]
Map: [&lt;1 3 4 4 3|, &lt;0 -6 -7 -5 2|]
EDOs: 4, 17c, 21, 38ce, 55cde
EDOs: 4, 17c, 21, 38ce, 55cde
Badness: 0.0472
Badness: 0.0472


Line 210: Line 249:


Map: [&lt;1 3 4 4 3 3|, &lt;0 -6 -7 -5 2 3|]
Map: [&lt;1 3 4 4 3 3|, &lt;0 -6 -7 -5 2 3|]
EDOs: 4, 17c, 21, 38ce, 55cde
EDOs: 4, 17c, 21, 38ce, 55cde
Badness: 0.0367
Badness: 0.0367


Line 219: Line 260:


Map: [&lt;1 3 4 4 7 7|, &lt;0 -6 -7 -5 -15 -14|]
Map: [&lt;1 3 4 4 7 7|, &lt;0 -6 -7 -5 -15 -14|]
EDOs: 17c
EDOs: 17c
Badness: 0.0323
Badness: 0.0323


Line 228: Line 271:


Map: [&lt;1 2 3|, &lt;0 -7 -11|]
Map: [&lt;1 2 3|, &lt;0 -7 -11|]
EDOs: 16, 17c, 33
EDOs: 16, 17c, 33
Badness: 0.6893
Badness: 0.6893


Line 237: Line 282:


Map: [&lt;1 2 3 3|, &lt;0 -7 -11 -3|]
Map: [&lt;1 2 3 3|, &lt;0 -7 -11 -3|]
Wedgie: &lt;&lt;7 11 3 1 -15 -24||
Wedgie: &lt;&lt;7 11 3 1 -15 -24||
EDOs: 16, 17c, 33, 50cd, 83bcd
EDOs: 16, 17c, 33, 50cd, 83bcd
Badness: 0.1149
Badness: 0.1149


Line 247: Line 295:


Map: [&lt;1 2 3 3 4|, &lt;0 -7 -11 -3 -9|]
Map: [&lt;1 2 3 3 4|, &lt;0 -7 -11 -3 -9|]
EDOs: 16, 17c, 33, 50cd, 83bcd
EDOs: 16, 17c, 33, 50cd, 83bcd
Badness: 0.0505
Badness: 0.0505


Line 256: Line 306:


Map: [&lt;1 2 3 3 4 4|, &lt;0 -7 -11 -3 -9 -5|]
Map: [&lt;1 2 3 3 4 4|, &lt;0 -7 -11 -3 -9 -5|]
EDOs: 16, 17c, 33, 83bcd
EDOs: 16, 17c, 33, 83bcd
Badness: 0.0331</pre></div>
 
<h4>Original HTML content:</h4>
Badness: 0.0331
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:54:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;a href="#Progression"&gt;Progression&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt; | &lt;a href="#Ripple"&gt;Ripple&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt;&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;!-- ws:start:WikiTextTocRule:65: --&gt; | &lt;a href="#Smate"&gt;Smate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:65 --&gt;&lt;!-- ws:start:WikiTextTocRule:66: --&gt;&lt;!-- ws:end:WikiTextTocRule:66 --&gt;&lt;!-- ws:start:WikiTextTocRule:67: --&gt;&lt;!-- ws:end:WikiTextTocRule:67 --&gt;&lt;!-- ws:start:WikiTextTocRule:68: --&gt;&lt;!-- ws:end:WikiTextTocRule:68 --&gt;&lt;!-- ws:start:WikiTextTocRule:69: --&gt; | &lt;a href="#Hemismate"&gt;Hemismate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:69 --&gt;&lt;!-- ws:start:WikiTextTocRule:70: --&gt;&lt;!-- ws:end:WikiTextTocRule:70 --&gt;&lt;!-- ws:start:WikiTextTocRule:71: --&gt;&lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt; | &lt;a href="#Subklei"&gt;Subklei&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;!-- ws:start:WikiTextTocRule:74: --&gt;&lt;!-- ws:end:WikiTextTocRule:74 --&gt;&lt;!-- ws:start:WikiTextTocRule:75: --&gt;&lt;!-- ws:end:WikiTextTocRule:75 --&gt;&lt;!-- ws:start:WikiTextTocRule:76: --&gt;&lt;!-- ws:end:WikiTextTocRule:76 --&gt;&lt;!-- ws:start:WikiTextTocRule:77: --&gt;&lt;!-- ws:end:WikiTextTocRule:77 --&gt;&lt;!-- ws:start:WikiTextTocRule:78: --&gt; | &lt;a href="#Slurpee"&gt;Slurpee&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt;
[[Category:definition]]
&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;br /&gt;
[[Category:overview]]
These are low complexity, high error temperaments tempering out the septimal quarter-tone, &lt;a class="wiki_link" href="/36_35"&gt;36/35&lt;/a&gt;. 36 is &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Square_triangular_number" rel="nofollow"&gt;both&lt;/a&gt; a &lt;a class="wiki_link_ext" href="http://mathworld.wolfram.com/SquareNumber.html" rel="nofollow"&gt;square&lt;/a&gt; and a &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Triangular_number" rel="nofollow"&gt;triangular number&lt;/a&gt;, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.&lt;br /&gt;
[[Category:quartonic]]
&lt;br /&gt;
[[Category:temperaments]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Progression"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Progression&lt;/h1&gt;
Comma: 3456/3125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~25/24 = 140.995&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2|, &amp;lt;0 5 3|]&lt;br /&gt;
EDOs: 8, 9, 17c&lt;br /&gt;
Badness: 0.2005&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Progression-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 392/375&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~15/14 = 140.927&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 5 3 7|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;5 3 7 -7 -3 8||&lt;br /&gt;
EDOs: 9, 17c&lt;br /&gt;
Badness: 0.0484&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Progression-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 56/55, 77/75&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/14 = 140.747&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2 3|, &amp;lt;0 5 3 7 4|]&lt;br /&gt;
EDOs: 8, 9, 17&lt;br /&gt;
Badness: 0.0261&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Progression-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 36/35, 56/55, 66/65&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/14 = 140.751&lt;br /&gt;
&lt;br /&gt;
Map: Map: [&amp;lt;1 1 2 2 3 3|, &amp;lt;0 5 3 7 4 6|]&lt;br /&gt;
EDOs: 8, 9, 17&lt;br /&gt;
Badness: 0.0182&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Progression-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;17-limit&lt;/h2&gt;
Commas: 26/25, 36/35, 51/50, 56/55, 66/65&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/14 = 141.404&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2 3 3 4|, &amp;lt;0 5 3 7 4 6 1|]&lt;br /&gt;
EDOs: 8, 9, 17&lt;br /&gt;
Badness: 0.0167&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="Progression-17-limit-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;19-limit&lt;/h3&gt;
Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/14 = 140.479&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2 3 3 4 4|, &amp;lt;0 5 3 7 4 6 1 2|]&lt;br /&gt;
EDOs: 8, 9, 17, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;&lt;br /&gt;
Badness: 0.0168&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Ripple"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Ripple&lt;/h1&gt;
Comma: 6561/6250&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~27/25 = 100.838&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3|, &amp;lt;0 -5 -8|]&lt;br /&gt;
EDOs: 12, 71b, 83b, 95b, 107bc, 119bc&lt;br /&gt;
Badness: 0.1389&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Ripple-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 2560/2401&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~21/20 = 99.483&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3|, &amp;lt;0 -5 -8 -2|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;5 8 2 1 -11 -18||&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/23edo"&gt;23&lt;/a&gt;&lt;br /&gt;
Badness: 0.0597&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Ripple-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 80/77, 126/121&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = ~12/11 = 99.385&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3 4|, &amp;lt;0 -5 -8 -2 -6|]&lt;br /&gt;
EDOs: 12&lt;br /&gt;
Badness: 0.0388&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Ripple-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13-limit&lt;/h2&gt;
Commas: 36/35, 40/39, 66/65, 147/143&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = ~12/11 = ~14/13 = 98.572&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3 4 4|, &amp;lt;0 -5 -8 -2 -6 -3|]&lt;br /&gt;
EDOs: 12f&lt;br /&gt;
Badness: 0.0316&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Smate"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Smate&lt;/h1&gt;
Comma: 2048/1875&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 420.855&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2|, &amp;lt;0 -4 1|]&lt;br /&gt;
EDOs: 11, 14, 17c, 20c, 37c&lt;br /&gt;
Badness: 0.179&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Smate-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 2048/1875&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 422.275&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 6|, &amp;lt;0 -4 1 -9|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;4 -1 9 -11 3 24||&lt;br /&gt;
EDOs: 14, 17c, 37cd&lt;br /&gt;
Badness: 0.0779&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Smate-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35 56/55 243/242&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 422.217&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 6 7|, &amp;lt;0 -4 1 -9 -10|]&lt;br /&gt;
EDOs: 14, 17c, 37cde&lt;br /&gt;
Badness: 0.0425&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Smate-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 36/35, 56/55, 243/242 &lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 423.020&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 6 7 3|, &amp;lt;0 -4 1 -9 -10 2|]&lt;br /&gt;
EDOs: 14, 17c&lt;br /&gt;
Badness: 0.0368&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Hemismate"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Hemismate&lt;/h1&gt;
commas: 256/245, 392/375 &lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 210.452&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 3|, &amp;lt;0 -8 2 -1|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;8 -2 1 -22 -21 8||&lt;br /&gt;
EDOs: 6, 11, 17c, 40bcd&lt;br /&gt;
Badness: 0.1543&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Hemismate-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;11-limit&lt;/h2&gt;
Commas: 56/55, 77/75, 256/245&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 =  210.481&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 3 4|, &amp;lt;0 -8 2 -1 -3|]&lt;br /&gt;
EDOs: 6, 11, 17c, 40bcde&lt;br /&gt;
Badness: 0.0655&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Hemismate-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 56/55, 77/75, 256/245&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 210.974&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 2 3 4 3|, &amp;lt;0 -8 2 -1 -3 4|]&lt;br /&gt;
EDOs: 6, 11, 17c&lt;br /&gt;
Badness: 0.0505&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Subklei"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Subklei&lt;/h1&gt;
Comma: 17496/15625&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 284.293&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4|, &amp;lt;0 -6 -7|]&lt;br /&gt;
EDOs: 4, 17c, 21, 38c&lt;br /&gt;
Badness: 0.3559&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Subklei-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 1029/1000&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 284.219&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4 4|, &amp;lt;0 -6 -7 -5|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;6 7 5 -3 -9 -8||&lt;br /&gt;
EDOs: 4, 17c, 21, 38c&lt;br /&gt;
Badness: 0.0611&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Subklei-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 77/75, 352/343&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 283.253&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4 4 7|, &amp;lt;0 -6 -7 -5 -15|]&lt;br /&gt;
EDOs: 17c, 55cd&lt;br /&gt;
Badness: 0.0447&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Subklei-Subkla"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Subkla&lt;/h2&gt;
Commas: 36/35, 56/55, 1029/1000&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 283.822&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4 4 3|, &amp;lt;0 -6 -7 -5 2|]&lt;br /&gt;
EDOs: 4, 17c, 21, 38ce, 55cde&lt;br /&gt;
Badness: 0.0472&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="Subklei-Subkla-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;13-limit&lt;/h3&gt;
Commas: 36/35, 56/55, 66/65, 640/637&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 283.882&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4 4 3 3|, &amp;lt;0 -6 -7 -5 2 3|]&lt;br /&gt;
EDOs: 4, 17c, 21, 38ce, 55cde&lt;br /&gt;
Badness: 0.0367&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Subklei-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 36/35, 66/65, 352/343 &lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 282.856&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 4 4 7 7|, &amp;lt;0 -6 -7 -5 -15 -14|]&lt;br /&gt;
EDOs: 17c&lt;br /&gt;
Badness: 0.0323&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Slurpee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Slurpee&lt;/h1&gt;
Comma: 177147/156250 &lt;br /&gt;
&lt;br /&gt;
POTE generator: ~27/25 = 72.742&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3|, &amp;lt;0 -7 -11|]&lt;br /&gt;
EDOs: 16, 17c, 33&lt;br /&gt;
Badness: 0.6893&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="Slurpee-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 51200/50421&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 72.303&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3|, &amp;lt;0 -7 -11 -3|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;7 11 3 1 -15 -24||&lt;br /&gt;
EDOs: 16, 17c, 33, 50cd, 83bcd&lt;br /&gt;
Badness: 0.1149&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="Slurpee-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 121/120, 352/343 &lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 72.297&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3 4|, &amp;lt;0 -7 -11 -3 -9|]&lt;br /&gt;
EDOs: 16, 17c, 33, 50cd, 83bcd&lt;br /&gt;
Badness: 0.0505&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Slurpee-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;13-limit&lt;/h2&gt;
Commas: 36/35. 66/65, 143/140, 352/343&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 72.409&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 3 4 4|, &amp;lt;0 -7 -11 -3 -9 -5|]&lt;br /&gt;
EDOs: 16, 17c, 33, 83bcd&lt;br /&gt;
Badness: 0.0331&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. 36 is both a square and a triangular number, and this helps make 36/35 a septimal interval of considerable significance. Temperaments tempering it out include beep, dicot, dominant, father, diminished, august, hystrix, penta, hexadecimal, ripple and gorgo.

Progression

Comma: 3456/3125

POTE generator: ~25/24 = 140.995

Map: [<1 1 2|, <0 5 3|]

EDOs: 8, 9, 17c

Badness: 0.2005

7-limit

Commas: 36/35, 392/375

POTE generator: ~15/14 = 140.927

Map: [<1 1 2 2|, <0 5 3 7|]

Wedgie: <<5 3 7 -7 -3 8||

EDOs: 9, 17c

Badness: 0.0484

11-limit

Commas: 36/35, 56/55, 77/75

POTE generator: ~15/14 = 140.747

Map: [<1 1 2 2 3|, <0 5 3 7 4|]

EDOs: 8, 9, 17

Badness: 0.0261

13-limit

Commas: 26/25, 36/35, 56/55, 66/65

POTE generator: ~15/14 = 140.751

Map: Map: [<1 1 2 2 3 3|, <0 5 3 7 4 6|]

EDOs: 8, 9, 17

Badness: 0.0182

17-limit

Commas: 26/25, 36/35, 51/50, 56/55, 66/65

POTE generator: ~15/14 = 141.404

Map: [<1 1 2 2 3 3 4|, <0 5 3 7 4 6 1|]

EDOs: 8, 9, 17

Badness: 0.0167

19-limit

Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65

POTE generator: ~15/14 = 140.479

Map: [<1 1 2 2 3 3 4 4|, <0 5 3 7 4 6 1 2|]

EDOs: 8, 9, 17, 94

Badness: 0.0168

Ripple

Comma: 6561/6250

POTE generator: ~27/25 = 100.838

Map: [<1 2 3|, <0 -5 -8|]

EDOs: 12, 71b, 83b, 95b, 107bc, 119bc

Badness: 0.1389

7-limit

Commas: 36/35, 2560/2401

POTE generator: ~21/20 = 99.483

Map: [<1 2 3 3|, <0 -5 -8 -2|]

Wedgie: <<5 8 2 1 -11 -18||

EDOs: 12, 23

Badness: 0.0597

11-limit

Commas: 36/35, 80/77, 126/121

POTE generator: ~21/20 = ~12/11 = 99.385

Map: [<1 2 3 3 4|, <0 -5 -8 -2 -6|]

EDOs: 12

Badness: 0.0388

13-limit

Commas: 36/35, 40/39, 66/65, 147/143

POTE generator: ~21/20 = ~12/11 = ~14/13 = 98.572

Map: [<1 2 3 3 4 4|, <0 -5 -8 -2 -6 -3|]

EDOs: 12f

Badness: 0.0316

Smate

Comma: 2048/1875

POTE generator: ~5/4 = 420.855

Map: [<1 3 2|, <0 -4 1|]

EDOs: 11, 14, 17c, 20c, 37c

Badness: 0.179

7-limit

Commas: 36/35, 2048/1875

POTE generator: ~5/4 = 422.275

Map: [<1 3 2 6|, <0 -4 1 -9|]

Wedgie: <<4 -1 9 -11 3 24||

EDOs: 14, 17c, 37cd

Badness: 0.0779

11-limit

Commas: 36/35 56/55 243/242

POTE generator: ~5/4 = 422.217

Map: [<1 3 2 6 7|, <0 -4 1 -9 -10|]

EDOs: 14, 17c, 37cde

Badness: 0.0425

13-limit

Commas: 26/25, 36/35, 56/55, 243/242

POTE generator: ~5/4 = 423.020

Map: [<1 3 2 6 7 3|, <0 -4 1 -9 -10 2|]

EDOs: 14, 17c

Badness: 0.0368

Hemismate

commas: 256/245, 392/375

POTE generator: ~8/7 = 210.452

Map: [<1 3 2 3|, <0 -8 2 -1|]

Wedgie: <<8 -2 1 -22 -21 8||

EDOs: 6, 11, 17c, 40bcd

Badness: 0.1543

11-limit

Commas: 56/55, 77/75, 256/245

POTE generator: ~8/7 = 210.481

Map: [<1 3 2 3 4|, <0 -8 2 -1 -3|]

EDOs: 6, 11, 17c, 40bcde

Badness: 0.0655

13-limit

Commas: 26/25, 56/55, 77/75, 256/245

POTE generator: ~8/7 = 210.974

Map: [<1 3 2 3 4 3|, <0 -8 2 -1 -3 4|]

EDOs: 6, 11, 17c

Badness: 0.0505

Subklei

Comma: 17496/15625

POTE generator: ~6/5 = 284.293

Map: [<1 3 4|, <0 -6 -7|]

EDOs: 4, 17c, 21, 38c

Badness: 0.3559

7-limit

Commas: 36/35, 1029/1000

POTE generator: ~6/5 = 284.219

Map: [<1 3 4 4|, <0 -6 -7 -5|]

Wedgie: <<6 7 5 -3 -9 -8||

EDOs: 4, 17c, 21, 38c

Badness: 0.0611

11-limit

Commas: 36/35, 77/75, 352/343

POTE generator: ~6/5 = 283.253

Map: [<1 3 4 4 7|, <0 -6 -7 -5 -15|]

EDOs: 17c, 55cd

Badness: 0.0447

Subkla

Commas: 36/35, 56/55, 1029/1000

POTE generator: ~6/5 = 283.822

Map: [<1 3 4 4 3|, <0 -6 -7 -5 2|]

EDOs: 4, 17c, 21, 38ce, 55cde

Badness: 0.0472

13-limit

Commas: 36/35, 56/55, 66/65, 640/637

POTE generator: ~6/5 = 283.882

Map: [<1 3 4 4 3 3|, <0 -6 -7 -5 2 3|]

EDOs: 4, 17c, 21, 38ce, 55cde

Badness: 0.0367

13-limit

Commas: 26/25, 36/35, 66/65, 352/343

POTE generator: ~6/5 = 282.856

Map: [<1 3 4 4 7 7|, <0 -6 -7 -5 -15 -14|]

EDOs: 17c

Badness: 0.0323

Slurpee

Comma: 177147/156250

POTE generator: ~27/25 = 72.742

Map: [<1 2 3|, <0 -7 -11|]

EDOs: 16, 17c, 33

Badness: 0.6893

7-limit

Commas: 36/35, 51200/50421

POTE generator: ~21/20 = 72.303

Map: [<1 2 3 3|, <0 -7 -11 -3|]

Wedgie: <<7 11 3 1 -15 -24||

EDOs: 16, 17c, 33, 50cd, 83bcd

Badness: 0.1149

11-limit

Commas: 36/35, 121/120, 352/343

POTE generator: ~21/20 = 72.297

Map: [<1 2 3 3 4|, <0 -7 -11 -3 -9|]

EDOs: 16, 17c, 33, 50cd, 83bcd

Badness: 0.0505

13-limit

Commas: 36/35. 66/65, 143/140, 352/343

POTE generator: ~21/20 = 72.409

Map: [<1 2 3 3 4 4|, <0 -7 -11 -3 -9 -5|]

EDOs: 16, 17c, 33, 83bcd

Badness: 0.0331

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