Mint temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 328250038 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 328261532 - Original comment: **
Line 1: Line 1:
<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>2012-05-01 19:21:04 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-01 19:46:13 UTC</tt>.<br>
: The original revision id was <tt>328250038</tt>.<br>
: The original revision id was <tt>328261532</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>
Line 103: Line 103:
Badness: 0.0368
Badness: 0.0368


= =
=Subklei=
Comma: 17496/15625
Comma: 17496/15625


Line 130: Line 130:
EDOs: 17c, 55cd
EDOs: 17c, 55cd
Badness: 0.0447
Badness: 0.0447
==Subkla==
Commas: 36/35, 56/55, 1029/1000
POTE generator: ~6/5 = 283.822
Map: [&lt;1 3 4 4 3|, &lt;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: [&lt;1 3 4 4 3 3|, &lt;0 -6 -7 -5 2 3|]
EDOs: 4, 17c, 21, 38ce, 55cde
Badness: 0.0367


==13-limit==
==13-limit==
Line 140: Line 158:
Badness: 0.0323</pre></div>
Badness: 0.0323</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Mint temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:28:&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:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;a href="#Progression"&gt;Progression&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt; | &lt;a href="#Ripple"&gt;Ripple&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt; | &lt;a href="#Smate"&gt;Smate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#toc10"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;
<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:32:&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:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;a href="#Progression"&gt;Progression&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt; | &lt;a href="#Ripple"&gt;Ripple&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt; | &lt;a href="#Smate"&gt;Smate&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt; | &lt;a href="#Subklei"&gt;Subklei&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;
&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;br /&gt;
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 both a square and a &lt;a class="wiki_link" href="/triangular%20number"&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;
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 both a square and a &lt;a class="wiki_link" href="/triangular%20number"&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;
&lt;br /&gt;
&lt;br /&gt;
Line 237: Line 255:
Badness: 0.0368&lt;br /&gt;
Badness: 0.0368&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt; &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Subklei"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Subklei&lt;/h1&gt;
Comma: 17496/15625&lt;br /&gt;
Comma: 17496/15625&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 246: Line 264:
Badness: 0.3559&lt;br /&gt;
Badness: 0.3559&lt;br /&gt;
&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;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Subklei-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;7-limit&lt;/h2&gt;
Commas: 36/35, 1029/1000&lt;br /&gt;
Commas: 36/35, 1029/1000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 256: Line 274:
Badness: 0.0611&lt;br /&gt;
Badness: 0.0611&lt;br /&gt;
&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;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Subklei-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;11-limit&lt;/h2&gt;
Commas: 36/35, 77/75, 352/343&lt;br /&gt;
Commas: 36/35, 77/75, 352/343&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 265: Line 283:
Badness: 0.0447&lt;br /&gt;
Badness: 0.0447&lt;br /&gt;
&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;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Subklei-Subkla"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&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:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Subklei-Subkla-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&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:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Subklei-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;13-limit&lt;/h2&gt;
Commas: 26/25, 36/35, 66/65, 352/343 &lt;br /&gt;
Commas: 26/25, 36/35, 66/65, 352/343 &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 19:46, 1 May 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-05-01 19:46:13 UTC.
The original revision id was 328261532.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

[[toc|flat]]

These are low complexity, high error temperaments tempering out the septimal quarter-tone, [[36_35|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=
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 tuning|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 tuning|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 tuning|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 tuning|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, [[94edo|94]]
Badness: 0.0168

=Ripple=
Commas: 36/35, 2560/2401

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

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

=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

=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

Original HTML content:

<html><head><title>Mint temperaments</title></head><body><!-- ws:start:WikiTextTocRule:32:&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:32 --><!-- ws:start:WikiTextTocRule:33: --><a href="#Progression">Progression</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Ripple">Ripple</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Smate">Smate</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <a href="#Subklei">Subklei</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: -->
<!-- ws:end:WikiTextTocRule:49 --><br />
These are low complexity, high error temperaments tempering out the septimal quarter-tone, <a class="wiki_link" href="/36_35">36/35</a>. 36 is both a square and a <a class="wiki_link" href="/triangular%20number">triangular number</a>, 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.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Progression"></a><!-- ws:end:WikiTextHeadingRule:0 -->Progression</h1>
Commas: 36/35, 392/375<br />
<br />
POTE generator: ~15/14 = 140.927<br />
<br />
Map: [&lt;1 1 2 2|, &lt;0 5 3 7|]<br />
Wedgie: &lt;&lt;5 3 7 -7 -3 8||<br />
EDOs: 9, 17c<br />
Badness: 0.0484<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Progression-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 36/35, 56/55, 77/75<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.747<br />
<br />
Map: [&lt;1 1 2 2 3|, &lt;0 5 3 7 4|]<br />
EDOs: 8, 9, 17<br />
Badness: 0.0261<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Progression-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 26/25, 36/35, 56/55, 66/65<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.751<br />
<br />
Map: Map: [&lt;1 1 2 2 3 3|, &lt;0 5 3 7 4 6|]<br />
EDOs: 8, 9, 17<br />
Badness: 0.0182<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Progression-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h2>
Commas: 26/25, 36/35, 51/50, 56/55, 66/65<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 141.404<br />
<br />
Map: [&lt;1 1 2 2 3 3 4|, &lt;0 5 3 7 4 6 1|]<br />
EDOs: 8, 9, 17<br />
Badness: 0.0167<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="Progression-17-limit-19-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->19-limit</h3>
Commas: 26/25, 36/35, 51/50, 56/55, 57/55, 66/65<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/14 = 140.479<br />
<br />
Map: [&lt;1 1 2 2 3 3 4 4|, &lt;0 5 3 7 4 6 1 2|]<br />
EDOs: 8, 9, 17, <a class="wiki_link" href="/94edo">94</a><br />
Badness: 0.0168<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Ripple"></a><!-- ws:end:WikiTextHeadingRule:10 -->Ripple</h1>
Commas: 36/35, 2560/2401<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~21/20 = 99.483<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -5 -8 -2|]<br />
Wedgie: &lt;&lt;5 8 2 1 -11 -18||<br />
EDOs: <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/23edo">23</a><br />
Badness: 0.0597<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Smate"></a><!-- ws:end:WikiTextHeadingRule:12 -->Smate</h1>
Comma: 2048/1875<br />
<br />
POTE generator: ~5/4 = 420.855<br />
<br />
Map: [&lt;1 3 2|, &lt;0 -4 1|]<br />
EDOs: 11, 14, 17c, 20c, 37c<br />
Badness: 0.179<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Smate-7-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->7-limit</h2>
Commas: 36/35, 2048/1875<br />
<br />
POTE generator: ~5/4 = 422.275<br />
<br />
Map: [&lt;1 3 2 6|, &lt;0 -4 1 -9|]<br />
Wedgie: &lt;&lt;4 -1 9 -11 3 24||<br />
EDOs: 14, 17c, 37cd<br />
Badness: 0.0779<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Smate-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2>
Commas: 36/35 56/55 243/242<br />
<br />
POTE generator: ~5/4 = 422.217<br />
<br />
Map: [&lt;1 3 2 6 7|, &lt;0 -4 1 -9 -10|]<br />
EDOs: 14, 17c, 37cde<br />
Badness: 0.0425<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Smate-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2>
Commas: 26/25, 36/35, 56/55, 243/242 <br />
<br />
POTE generator: ~5/4 = 423.020<br />
<br />
Map: [&lt;1 3 2 6 7 3|, &lt;0 -4 1 -9 -10 2|]<br />
EDOs: 14, 17c<br />
Badness: 0.0368<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Subklei"></a><!-- ws:end:WikiTextHeadingRule:20 -->Subklei</h1>
Comma: 17496/15625<br />
<br />
POTE generator: ~6/5 = 284.293<br />
<br />
Map: [&lt;1 3 4|, &lt;0 -6 -7|]<br />
EDOs: 4, 17c, 21, 38c<br />
Badness: 0.3559<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Subklei-7-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->7-limit</h2>
Commas: 36/35, 1029/1000<br />
<br />
POTE generator: ~6/5 = 284.219<br />
<br />
Map: [&lt;1 3 4 4|, &lt;0 -6 -7 -5|]<br />
Wedgie: &lt;&lt;6 7 5 -3 -9 -8||<br />
EDOs: 4, 17c, 21, 38c<br />
Badness: 0.0611<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Subklei-11-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->11-limit</h2>
Commas: 36/35, 77/75, 352/343<br />
<br />
POTE generator: ~6/5 = 283.253<br />
<br />
Map: [&lt;1 3 4 4 7|, &lt;0 -6 -7 -5 -15|]<br />
EDOs: 17c, 55cd<br />
Badness: 0.0447<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Subklei-Subkla"></a><!-- ws:end:WikiTextHeadingRule:26 -->Subkla</h2>
Commas: 36/35, 56/55, 1029/1000<br />
<br />
POTE generator: ~6/5 = 283.822<br />
<br />
Map: [&lt;1 3 4 4 3|, &lt;0 -6 -7 -5 2|]<br />
EDOs: 4, 17c, 21, 38ce, 55cde<br />
Badness: 0.0472<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="Subklei-Subkla-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h3>
Commas: 36/35, 56/55, 66/65, 640/637<br />
<br />
POTE generator: ~6/5 = 283.882<br />
<br />
Map: [&lt;1 3 4 4 3 3|, &lt;0 -6 -7 -5 2 3|]<br />
EDOs: 4, 17c, 21, 38ce, 55cde<br />
Badness: 0.0367<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Subklei-13-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->13-limit</h2>
Commas: 26/25, 36/35, 66/65, 352/343 <br />
<br />
POTE generator: ~6/5 = 282.856<br />
<br />
Map: [&lt;1 3 4 4 7 7|, &lt;0 -6 -7 -5 -15 -14|]<br />
EDOs: 17c<br />
Badness: 0.0323</body></html>