Porcupine family

From Xenharmonic Wiki
Revision as of 13:40, 8 October 2012 by Wikispaces>jdfreivald (**Imported revision 371174480 - Original comment: **)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author jdfreivald and made on 2012-10-08 13:40:17 UTC.
The original revision id was 371174480.
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]]
----
The 5-limit parent comma for the porcupine family is 250/243, the maximal [[diesis]] or porcupine comma. Its [[monzo]] is |1 -5 3>, and flipping that yields <<3 5 1|| for the [[wedgie]]. This tells us the [[generator]] is a minor whole tone, the [[10_9|10/9]] interval, and that three of these add up to a fourth, with two more giving the minor sixth. In fact, (10/9)^3 = 4/3 * 250/243, and (10/9)^5 = 8/5 * (250/243)^2. 3/22 is a very recommendable generator, and MOS of 7, 8 and 15 notes make for some nice scale possibilities.

[[POTE tuning|POTE generator]]: 163.950

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

EDOs: [[15edo|15]], [[22edo|22]], [[95edo|95c]], [[117edo|117bc]], [[139edo|139bc]], [[161edo|161bc]], [[183edo|183bc]]

==Seven limit children== 
The second comma of the [[Normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. That means [[64_63|64/63]], the [[64_63|Archytas comma]], for [[Porcupine family#Porcupine|porcupine]], [[36_35|36/35]], the [[septimal quarter tone]], for [[Porcupine family#Hystrix|hystrix]], [[50_49|50/49]], the [[jubilisma]], for [[Porcupine family#Hedgehog|hedgehog]], and [[49_48|49/48]], the [[slendro diesis]], for [[Porcupine family#Nautilus|nautilus]].

=Porcupine= 
[[Porcupine]], with wedgie <<3 5 -6 1 -18 -28||, uses six of its minor tone generator steps to get to [[7_4|7/4]]. For this to work you need a small minor tone such as [[22edo]] provides, and once again 3\22 is a good tuning choice, though we might pick in preference 8\59, 11\81, or 19\140 for our generator.

Commas: 250/243, 64/63

[[POTE tuning|POTE generator]]: ~10/9 = 162.880

Map: [<1 2 3 2|, <0 -3 -5 6|]
EDOs: 22, [[59edo|59]], [[81edo|81bd]], [[140edo|140bd]]

==11-limit== 
Commas: 55/54, 64/63, 100/99

POTE generator: ~10/9 = 162.747

Map: [<1 2 3 2 4|, <0 -3 -5 6 -4|]
EDOs: [[7edo|7]], 15, 22, [[37edo|37]], [[59edo|59]]
Badness: 0.0217

==13-limit== 
Commas: 40/39, 55/54, 64/63, 66/65

POTE generator: ~10/9 = 162.708

Map: [<1 2 3 2 4 4|, <0 -3 -5 6 -4 -2|]
EDOs: 7, 15, 22f, 37f
Badness: 0.0213

==Porcupinefish== 
See also: [[The Biosphere]]
Commas: 55/54, 64/63, 91/90, 100/99

POTE generator: ~10/9 = 162.277

Map: [<1 2 3 2 4 6|, <0 -3 -5 6 -4 -17|]
EDOs: 15, 22, 37, 59, 96b
<span style="background-color: #ffffff;">Badness: 0.0253</span>

==???== 
Commas: 55/54, 64/63, 100/99, 196/195

POTE generator: ~10/9 = 162.482

Map: [<1 2 3 2 4 1|, <0 -3 -5 6 -4 20|]
EDOs: 15f, 22f, 37
Badness:

==Porkpie== 
Commas: 55/54, 64/63, 65/63, 100/99

POTE generator: ~10/9 = 163.688

Map: [<1 2 3 2 4 3|, <0 -3 -5 6 -4 5|]
EDOs: 7, 15f, 22
Badness: 0.0260

=Hystrix= 
Hystrix, with wedgie <<3 5 1 1 -7 -12||, provides a less complex avenue to the 7-limit. Unfortunately in temperaments as in life you get what you pay for, and hystrix, for which a generator of 2\15 or 9\68 can be used, is a temperament for the adventurous souls who have probably already tried [[15edo]]. They can try the even sharper fifth of hystrix in [[68edo]] and see how that suits.

Commas: 36/35, 160/147

[[POTE tuning|POTE generator]]: 158.868

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

EDOs: 10d, 12, 13d, 15

=Hedgehog= 
Hedgehog, with wedgie <<6 10 10 2 -1 -5||, has a period 1/2 octave and a generator which can be taken to be 9/7 instead of 10/9. It also tempers out 245/243, the sensamagic comma. 22et provides the obvious tuning, but if you are looking for an alternative, you could try the <146 232 338 411| val with generator 10\73, or you could try 164 cents if you are fond of round numbers. The 14 note MOS gives scope for harmony while stopping well short of 22.

Commas: 50/49, 245/243

[[POTE tuning|POTE generator]]: ~9/7 = 435.648

Map: [<2 1 1 2|, <0 3 5 5|]
Wedgie: <<6 10 10 2 -1 -5||
EDOs: 22, [[146edo|146]]
Badness: 0.0440

==11-limit== 
Commas: 50/49, 55/54, 99/98

POTE generator: ~9/7 = 435.386

Map: [<2 1 1 2 4|, <0 3 5 5 4|]
EDOs: 14c, 22, 58ce, 80ce, 102cde
Badness: 0.0231

==13-limit== 
Commas: 50/49, 55/54, 65/63, 99/98

POTE generator: ~9/7 = 435.861

Map: [<2 1 1 2 4 3|, <0 3 5 5 4 6|]
EDOs: 14cf, 22
Badness: 0.0215

==Urchin== 
Commas: 40/39, 50/49, 55/54, 66/65

POTE generator: ~9/7 = 437.078

Map: [<2 1 1 2 4 6|, <0 3 5 5 4 2|]
EDOs: 14c, 22f
Badness: 0.0252

==Hedgepig== 
Commas: 50/49, 245/243, 385/384

POTE generator: ~9/7 = 435.425

Map: [<2 1 1 2 12|, <0 3 5 5 -7|]
EDOs: 22, 80c, 102cd, 124cd
Badness: 0.0684

===Music=== 
[[http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3|Phobos Light]] by Chris Vaisvil in Hedgehog[14] [[hedgehog14|tuned]] to 22edo.

=Nautilus= 
Commas: 49/48, 250/243

POTE generator: ~21/20 = 82.505

Map: [<1 2 3 3|, <0 -6 -10 -3|]
Wedgie: <<6 10 3 2 -12 -21||
EDOs: 10, 15, 19, [[29edo|29]], [[102edo|102cd]]

==11-limit== 
Commas: 49/48, 55/54, 245/242

POTE generator: ~21/20 = 82.504

Map: [<1 2 3 3 4|, <0 -6 -10 -3 -8|]
EDOs: 10e, 14c, 15, 19, 22d, 29, 102cde

==13-limit== 
Commas: 49/48, 55/54, 91/90, 100/99

POTE generator: ~21/20 = 62.530

Map: [<1 2 3 3 4 5|, <0 -6 -10 -3 -8 -19|]
EDOs: 10e, 15f, 17d, 19, 22d, 29, 102cde
Badness: 0.0223

==Belauensis== 
Commas: 40/39, 49/48, 55/54, 66/65

POTE generator: ~21/20 = ~14/13 = 81.759

Map: [<1 2 3 3 4 4|, <0 -6 -10 -3 -8 -4|]
EDOs: 14c, 15, 29f, 44df
Badness: 0.0298

[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/NautilusReverie.mp3|Nautilus Reverie]] by [[IgliashonJones|Igliashon Calvin Jones-Coolidge]]
=Ammonite= 
Commas: 250/243, 686/675

POTE generator: ~9/7 = 454.448

Map: [<1 5 8 10|, <0 -9 -15 -19|]
Wedgie: <<9 15 19 3 5 2||
EDOs: 29, 37, 66
Badness: 0.1077

==11-limit== 
Commas: 55/54, 100/99, 686/675

POTE generator: ~9/7 = 454.512

Map: [<1 5 8 10 8|, <0 -9 -15 -19 -12|]
EDOs: 29, 37, 66
Badness: 0.0457

==13-limit== 
Commas: 55/54, 91/90, 100/99, 169/168

POTE generator: ~13/10 = 454.429

Map: [<1 5 8 10 8 9|, <0 -9 -15 -19 -12 -14|]
EDOs: 29, 37, 66
Badness: 0.0272

=Ceratitid= 
Commas: 250/243, 1728/1715

POTE generator: ~36/35 = 54.384

Map: [<1 2 3 3|, <0 -9 -15 -4|]
Wedgie: <<9 15 4 3 -19 -33||
EDOs: 22
Badness: 0.115

==11-limit== 
Commas: 55/54, 100/99, 5324/5145

POTE generator: ~36/35 = 54.376

Map: [<1 2 3 3 4|, <0 -9 -15 -4 -12|]
EDOs: 22
Badness: 0.0513

==13-limit== 
Commas: 55/54, 65/63, 100/99, 352/343

POTE generator: ~36/35 = 54.665

Map: [<1 2 3 3 4 4|, <0 -9 -15 -4 -12 -7|]
EDOs: 22
Badness: 0.0447

=Porky= 
Commas: 225/224, 250/243

POTE generator: ~10/9 = 164.412

Map: [<1 2 3 5|, <0 -3 -5 -16|]
Wedgie: <<3 5 16 1 17 23||
EDOS: 7, 8, 15, 22, 29, 51, 73
Badness: 0.0544

==11-limit== 
Commas: 55/54, 100/99, 225/224

POTE generator: ~10/9 = 164.552

Map: [<1 2 3 5 4|, <0 -3 -5 -16 -4|]
EDOs: 7, 8, 15, 22, 29, 51, 73
Badness: 0.0273

=Coendou= 
Commas: 250/243, 525/512

POTE generator: ~10/9 = 166.041

Map: [<1 2 3 1|, <0 -3 -5 13|]
Wedgie: <<3 5 -13 1 -29 -44||
EDOs: 7, 29, 65c, 94cd
Badness: 0.1183

==11-limit== 
Commas: 55/54, 100/99, 525/512

POTE generator: ~10/9 = 165.981

Map: [<1 2 3 1 4|, <0 -3 -5 13 -4|]
EDOs: 7, 29, 65ce, 94cde
Badness: 0.0497

==13-limit== 
Commas: 55/54, 65/64, 100/99, 105/104

POTE generator: ~10/9 = 165.974

Map: [<1 2 3 1 4 3|, <0 -3 -5 13 -4 5|]
EDOs: 7, 29, 65cef, 94cdef
Badness: 0.0302

Original HTML content:

<html><head><title>Porcupine family</title></head><body><!-- ws:start:WikiTextTocRule:58:&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:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Porcupine">Porcupine</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Hystrix">Hystrix</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Hedgehog">Hedgehog</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Nautilus">Nautilus</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Ammonite">Ammonite</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#Ceratitid">Ceratitid</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Porky">Porky</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --> | <a href="#Coendou">Coendou</a><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: -->
<!-- ws:end:WikiTextTocRule:88 --><hr />
The 5-limit parent comma for the porcupine family is 250/243, the maximal <a class="wiki_link" href="/diesis">diesis</a> or porcupine comma. Its <a class="wiki_link" href="/monzo">monzo</a> is |1 -5 3&gt;, and flipping that yields &lt;&lt;3 5 1|| for the <a class="wiki_link" href="/wedgie">wedgie</a>. This tells us the <a class="wiki_link" href="/generator">generator</a> is a minor whole tone, the <a class="wiki_link" href="/10_9">10/9</a> interval, and that three of these add up to a fourth, with two more giving the minor sixth. In fact, (10/9)^3 = 4/3 * 250/243, and (10/9)^5 = 8/5 * (250/243)^2. 3/22 is a very recommendable generator, and MOS of 7, 8 and 15 notes make for some nice scale possibilities.<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 163.950<br />
<br />
Map: [&lt;1 2 3|, &lt;0 -3 -5|]<br />
<br />
EDOs: <a class="wiki_link" href="/15edo">15</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/95edo">95c</a>, <a class="wiki_link" href="/117edo">117bc</a>, <a class="wiki_link" href="/139edo">139bc</a>, <a class="wiki_link" href="/161edo">161bc</a>, <a class="wiki_link" href="/183edo">183bc</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Seven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Seven limit children</h2>
 The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which <a class="wiki_link" href="/7-limit">7-limit</a> family member we are looking at. That means <a class="wiki_link" href="/64_63">64/63</a>, the <a class="wiki_link" href="/64_63">Archytas comma</a>, for <a class="wiki_link" href="/Porcupine%20family#Porcupine">porcupine</a>, <a class="wiki_link" href="/36_35">36/35</a>, the <a class="wiki_link" href="/septimal%20quarter%20tone">septimal quarter tone</a>, for <a class="wiki_link" href="/Porcupine%20family#Hystrix">hystrix</a>, <a class="wiki_link" href="/50_49">50/49</a>, the <a class="wiki_link" href="/jubilisma">jubilisma</a>, for <a class="wiki_link" href="/Porcupine%20family#Hedgehog">hedgehog</a>, and <a class="wiki_link" href="/49_48">49/48</a>, the <a class="wiki_link" href="/slendro%20diesis">slendro diesis</a>, for <a class="wiki_link" href="/Porcupine%20family#Nautilus">nautilus</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Porcupine"></a><!-- ws:end:WikiTextHeadingRule:2 -->Porcupine</h1>
 <a class="wiki_link" href="/Porcupine">Porcupine</a>, with wedgie &lt;&lt;3 5 -6 1 -18 -28||, uses six of its minor tone generator steps to get to <a class="wiki_link" href="/7_4">7/4</a>. For this to work you need a small minor tone such as <a class="wiki_link" href="/22edo">22edo</a> provides, and once again 3\22 is a good tuning choice, though we might pick in preference 8\59, 11\81, or 19\140 for our generator.<br />
<br />
Commas: 250/243, 64/63<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 162.880<br />
<br />
Map: [&lt;1 2 3 2|, &lt;0 -3 -5 6|]<br />
EDOs: 22, <a class="wiki_link" href="/59edo">59</a>, <a class="wiki_link" href="/81edo">81bd</a>, <a class="wiki_link" href="/140edo">140bd</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Porcupine-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2>
 Commas: 55/54, 64/63, 100/99<br />
<br />
POTE generator: ~10/9 = 162.747<br />
<br />
Map: [&lt;1 2 3 2 4|, &lt;0 -3 -5 6 -4|]<br />
EDOs: <a class="wiki_link" href="/7edo">7</a>, 15, 22, <a class="wiki_link" href="/37edo">37</a>, <a class="wiki_link" href="/59edo">59</a><br />
Badness: 0.0217<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Porcupine-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2>
 Commas: 40/39, 55/54, 64/63, 66/65<br />
<br />
POTE generator: ~10/9 = 162.708<br />
<br />
Map: [&lt;1 2 3 2 4 4|, &lt;0 -3 -5 6 -4 -2|]<br />
EDOs: 7, 15, 22f, 37f<br />
Badness: 0.0213<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Porcupine-Porcupinefish"></a><!-- ws:end:WikiTextHeadingRule:8 -->Porcupinefish</h2>
 See also: <a class="wiki_link" href="/The%20Biosphere">The Biosphere</a><br />
Commas: 55/54, 64/63, 91/90, 100/99<br />
<br />
POTE generator: ~10/9 = 162.277<br />
<br />
Map: [&lt;1 2 3 2 4 6|, &lt;0 -3 -5 6 -4 -17|]<br />
EDOs: 15, 22, 37, 59, 96b<br />
<span style="background-color: #ffffff;">Badness: 0.0253</span><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Porcupine-???"></a><!-- ws:end:WikiTextHeadingRule:10 -->???</h2>
 Commas: 55/54, 64/63, 100/99, 196/195<br />
<br />
POTE generator: ~10/9 = 162.482<br />
<br />
Map: [&lt;1 2 3 2 4 1|, &lt;0 -3 -5 6 -4 20|]<br />
EDOs: 15f, 22f, 37<br />
Badness:<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Porcupine-Porkpie"></a><!-- ws:end:WikiTextHeadingRule:12 -->Porkpie</h2>
 Commas: 55/54, 64/63, 65/63, 100/99<br />
<br />
POTE generator: ~10/9 = 163.688<br />
<br />
Map: [&lt;1 2 3 2 4 3|, &lt;0 -3 -5 6 -4 5|]<br />
EDOs: 7, 15f, 22<br />
Badness: 0.0260<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Hystrix"></a><!-- ws:end:WikiTextHeadingRule:14 -->Hystrix</h1>
 Hystrix, with wedgie &lt;&lt;3 5 1 1 -7 -12||, provides a less complex avenue to the 7-limit. Unfortunately in temperaments as in life you get what you pay for, and hystrix, for which a generator of 2\15 or 9\68 can be used, is a temperament for the adventurous souls who have probably already tried <a class="wiki_link" href="/15edo">15edo</a>. They can try the even sharper fifth of hystrix in <a class="wiki_link" href="/68edo">68edo</a> and see how that suits.<br />
<br />
Commas: 36/35, 160/147<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 158.868<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -3 -5 -1|]<br />
<br />
EDOs: 10d, 12, 13d, 15<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hedgehog"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hedgehog</h1>
 Hedgehog, with wedgie &lt;&lt;6 10 10 2 -1 -5||, has a period 1/2 octave and a generator which can be taken to be 9/7 instead of 10/9. It also tempers out 245/243, the sensamagic comma. 22et provides the obvious tuning, but if you are looking for an alternative, you could try the &lt;146 232 338 411| val with generator 10\73, or you could try 164 cents if you are fond of round numbers. The 14 note MOS gives scope for harmony while stopping well short of 22.<br />
<br />
Commas: 50/49, 245/243<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 435.648<br />
<br />
Map: [&lt;2 1 1 2|, &lt;0 3 5 5|]<br />
Wedgie: &lt;&lt;6 10 10 2 -1 -5||<br />
EDOs: 22, <a class="wiki_link" href="/146edo">146</a><br />
Badness: 0.0440<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Hedgehog-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
 Commas: 50/49, 55/54, 99/98<br />
<br />
POTE generator: ~9/7 = 435.386<br />
<br />
Map: [&lt;2 1 1 2 4|, &lt;0 3 5 5 4|]<br />
EDOs: 14c, 22, 58ce, 80ce, 102cde<br />
Badness: 0.0231<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Hedgehog-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h2>
 Commas: 50/49, 55/54, 65/63, 99/98<br />
<br />
POTE generator: ~9/7 = 435.861<br />
<br />
Map: [&lt;2 1 1 2 4 3|, &lt;0 3 5 5 4 6|]<br />
EDOs: 14cf, 22<br />
Badness: 0.0215<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Hedgehog-Urchin"></a><!-- ws:end:WikiTextHeadingRule:22 -->Urchin</h2>
 Commas: 40/39, 50/49, 55/54, 66/65<br />
<br />
POTE generator: ~9/7 = 437.078<br />
<br />
Map: [&lt;2 1 1 2 4 6|, &lt;0 3 5 5 4 2|]<br />
EDOs: 14c, 22f<br />
Badness: 0.0252<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc12"><a name="Hedgehog-Hedgepig"></a><!-- ws:end:WikiTextHeadingRule:24 -->Hedgepig</h2>
 Commas: 50/49, 245/243, 385/384<br />
<br />
POTE generator: ~9/7 = 435.425<br />
<br />
Map: [&lt;2 1 1 2 12|, &lt;0 3 5 5 -7|]<br />
EDOs: 22, 80c, 102cd, 124cd<br />
Badness: 0.0684<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h3&gt; --><h3 id="toc13"><a name="Hedgehog-Hedgepig-Music"></a><!-- ws:end:WikiTextHeadingRule:26 -->Music</h3>
 <a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/20120207-phobos-light-hedgehog14.mp3" rel="nofollow">Phobos Light</a> by Chris Vaisvil in Hedgehog[14] <a class="wiki_link" href="/hedgehog14">tuned</a> to 22edo.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Nautilus"></a><!-- ws:end:WikiTextHeadingRule:28 -->Nautilus</h1>
 Commas: 49/48, 250/243<br />
<br />
POTE generator: ~21/20 = 82.505<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -6 -10 -3|]<br />
Wedgie: &lt;&lt;6 10 3 2 -12 -21||<br />
EDOs: 10, 15, 19, <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/102edo">102cd</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Nautilus-11-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->11-limit</h2>
 Commas: 49/48, 55/54, 245/242<br />
<br />
POTE generator: ~21/20 = 82.504<br />
<br />
Map: [&lt;1 2 3 3 4|, &lt;0 -6 -10 -3 -8|]<br />
EDOs: 10e, 14c, 15, 19, 22d, 29, 102cde<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Nautilus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->13-limit</h2>
 Commas: 49/48, 55/54, 91/90, 100/99<br />
<br />
POTE generator: ~21/20 = 62.530<br />
<br />
Map: [&lt;1 2 3 3 4 5|, &lt;0 -6 -10 -3 -8 -19|]<br />
EDOs: 10e, 15f, 17d, 19, 22d, 29, 102cde<br />
Badness: 0.0223<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Nautilus-Belauensis"></a><!-- ws:end:WikiTextHeadingRule:34 -->Belauensis</h2>
 Commas: 40/39, 49/48, 55/54, 66/65<br />
<br />
POTE generator: ~21/20 = ~14/13 = 81.759<br />
<br />
Map: [&lt;1 2 3 3 4 4|, &lt;0 -6 -10 -3 -8 -4|]<br />
EDOs: 14c, 15, 29f, 44df<br />
Badness: 0.0298<br />
<br />
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/NautilusReverie.mp3" rel="nofollow">Nautilus Reverie</a> by <a class="wiki_link" href="/IgliashonJones">Igliashon Calvin Jones-Coolidge</a><br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Ammonite"></a><!-- ws:end:WikiTextHeadingRule:36 -->Ammonite</h1>
 Commas: 250/243, 686/675<br />
<br />
POTE generator: ~9/7 = 454.448<br />
<br />
Map: [&lt;1 5 8 10|, &lt;0 -9 -15 -19|]<br />
Wedgie: &lt;&lt;9 15 19 3 5 2||<br />
EDOs: 29, 37, 66<br />
Badness: 0.1077<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Ammonite-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2>
 Commas: 55/54, 100/99, 686/675<br />
<br />
POTE generator: ~9/7 = 454.512<br />
<br />
Map: [&lt;1 5 8 10 8|, &lt;0 -9 -15 -19 -12|]<br />
EDOs: 29, 37, 66<br />
Badness: 0.0457<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Ammonite-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2>
 Commas: 55/54, 91/90, 100/99, 169/168<br />
<br />
POTE generator: ~13/10 = 454.429<br />
<br />
Map: [&lt;1 5 8 10 8 9|, &lt;0 -9 -15 -19 -12 -14|]<br />
EDOs: 29, 37, 66<br />
Badness: 0.0272<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Ceratitid"></a><!-- ws:end:WikiTextHeadingRule:42 -->Ceratitid</h1>
 Commas: 250/243, 1728/1715<br />
<br />
POTE generator: ~36/35 = 54.384<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -9 -15 -4|]<br />
Wedgie: &lt;&lt;9 15 4 3 -19 -33||<br />
EDOs: 22<br />
Badness: 0.115<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Ceratitid-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2>
 Commas: 55/54, 100/99, 5324/5145<br />
<br />
POTE generator: ~36/35 = 54.376<br />
<br />
Map: [&lt;1 2 3 3 4|, &lt;0 -9 -15 -4 -12|]<br />
EDOs: 22<br />
Badness: 0.0513<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Ceratitid-13-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->13-limit</h2>
 Commas: 55/54, 65/63, 100/99, 352/343<br />
<br />
POTE generator: ~36/35 = 54.665<br />
<br />
Map: [&lt;1 2 3 3 4 4|, &lt;0 -9 -15 -4 -12 -7|]<br />
EDOs: 22<br />
Badness: 0.0447<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Porky"></a><!-- ws:end:WikiTextHeadingRule:48 -->Porky</h1>
 Commas: 225/224, 250/243<br />
<br />
POTE generator: ~10/9 = 164.412<br />
<br />
Map: [&lt;1 2 3 5|, &lt;0 -3 -5 -16|]<br />
Wedgie: &lt;&lt;3 5 16 1 17 23||<br />
EDOS: 7, 8, 15, 22, 29, 51, 73<br />
Badness: 0.0544<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Porky-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2>
 Commas: 55/54, 100/99, 225/224<br />
<br />
POTE generator: ~10/9 = 164.552<br />
<br />
Map: [&lt;1 2 3 5 4|, &lt;0 -3 -5 -16 -4|]<br />
EDOs: 7, 8, 15, 22, 29, 51, 73<br />
Badness: 0.0273<br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="Coendou"></a><!-- ws:end:WikiTextHeadingRule:52 -->Coendou</h1>
 Commas: 250/243, 525/512<br />
<br />
POTE generator: ~10/9 = 166.041<br />
<br />
Map: [&lt;1 2 3 1|, &lt;0 -3 -5 13|]<br />
Wedgie: &lt;&lt;3 5 -13 1 -29 -44||<br />
EDOs: 7, 29, 65c, 94cd<br />
Badness: 0.1183<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Coendou-11-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->11-limit</h2>
 Commas: 55/54, 100/99, 525/512<br />
<br />
POTE generator: ~10/9 = 165.981<br />
<br />
Map: [&lt;1 2 3 1 4|, &lt;0 -3 -5 13 -4|]<br />
EDOs: 7, 29, 65ce, 94cde<br />
Badness: 0.0497<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Coendou-13-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->13-limit</h2>
 Commas: 55/54, 65/64, 100/99, 105/104<br />
<br />
POTE generator: ~10/9 = 165.974<br />
<br />
Map: [&lt;1 2 3 1 4 3|, &lt;0 -3 -5 13 -4 5|]<br />
EDOs: 7, 29, 65cef, 94cdef<br />
Badness: 0.0302</body></html>