Hemimean clan: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>~~2013~~-01-~~10 09~~:22:27 UTC</tt>.<br>

: This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-03-07 12:30:13 UTC</tt>.<br>

: The original revision id was <tt>~~397272172~~</tt>.<br>

: The original revision id was <tt>494295216</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]]

The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.

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EDOs: [[6edo|6]], [[12edo|12]], [[19edo|12]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]]

=Misty=

Commas: 3136/3125, 5120/5103

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EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]

==11-limit==

Commas: 441/440, 3136/3125, 4375/4356

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EDOs: 12, 87, 99e, 186e

==13-limit==

Commas: 196/195, 352/351, 364/363, 625/624

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EDOs: 12, 87, 186ef, 273ef

=Mystic=

Commas: 325/324, 441/440, 896/891, 1001/1000

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EDOs: 12, 87, 186e, 273e, 633bde

==17-limit==

Commas: 196/195, 352/351, 364/363, 625/624

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EDOs: 87, 186ef, 273ef

==19-limit==

Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324

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EDOs: 46, 87, 133, 326de, 413degh

=Semisept=

Comma: 782757789696/762939453125

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Badness: 0.6306

==7-limit==

Commas: 3136/~~3126~~, 1728/1715

Commas: 3136/3125, 1728/1715

[[POTE tuning|POTE generator]]: (~75/49) 735.155

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EDOs: [[18edo|18]], 31, [[80edo|80]], 111

==11-limit==

Commas: 176/175, 540/539, 1331/1323

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Map: [<1 12 6 12 20|, <0 -17 -6 -15 -27|]

EDOs: 18, 31, 80, 111, 364cd,

EDOs: 18e, 31, 80, 111, 364cd,

Badness: 0.0225

===Semishly===

Commas: 144/143, 176/175, 196/195, 275/273

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Badness: 0.0284

==13-limit==

Commas: 176/175, 351/350, 540/539, 1375/1372

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Badness: 0.0252

==17-limit==

Commas: 176/175, 256/255, 351/350, 640/637, 715/714

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EDOs: 31, 80, 111

==19-limit==

Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323

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EDOs: 31, 80, 111

==23-limit==

Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459

[[POTE tuning|POTE generator]]: 435.106

Map: [<1 12 6 12 20 -11 -10 -8 18|,

<0 -17 -6 -15 -27 24 23 20 -22|]

EDOs: 31, 80, 111, 191cdh, 302cdgh

=Sengagen=

Commas: 3136/3125, 420175/419904

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Badness: 0.0580

=Subpental=

Commas: 3136/3125, 19683/19600

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Badness: 0.0543

==11-limit==

Commas: 540/539, 3136/3125, 8019/8000

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Badness: 0.0453

==13-limit==

Commas: 351/350, 540/539, 676/675, 3136/3125

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Badness: 0.0239

=Arch=

Commas: 3136/3125, 5250987/5242880

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Badness: 0.0943

==11-limit==

Commas: 441/440, 3136/3125, 4000/3993

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Badness: 0.0365

==13-limit==

Commas: 364/363, 441/440, 676/675, 3136/3125

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Badness: 0.0195

=Emka=

Commas: 3136/3125, 84035/82944

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Badness: 0.1443

==11-limit==

Commas: 385/384, 2401/2376, 3136/3125

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Badness: 0.0547

==13-limit==

Commas: 196/195, 364/363, 385/384, 625/624

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Map: [<1 14 6 12 3 6|, <0 -27 -8 -20 1 -5|]

EDOs: 37, 50, 87, 224d, 311d, 398d

Badness: 0.0297

Badness: 0.0297</pre></div>

</pre></div>

<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>Hemimean clan</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Misty">Misty</a></div>

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<div style="margin-left: 2em;"><a href="#Emka-13-limit">13-limit</a></div>

</div>

~~<br />~~

The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.<br />

The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.<br />

<br />

Comma: 3136/3125<br />

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<br />

<h1 id="toc0"><a name="Misty"></a>Misty</h1>

Commas: 3136/3125, 5120/5103<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.021<br />

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<br />

<h2 id="toc1"><a name="Misty-11-limit"></a>11-limit</h2>

Commas: 441/440, 3136/3125, 4375/4356<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.210<br />

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<br />

<h2 id="toc2"><a name="Misty-13-limit"></a>13-limit</h2>

Commas: 196/195, 352/351, 364/363, 625/624<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.303<br />

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<br />

<h1 id="toc3"><a name="Mystic"></a>Mystic</h1>

Commas: 325/324, 441/440, 896/891, 1001/1000<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.311<br />

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<br />

<h2 id="toc4"><a name="Mystic-17-limit"></a>17-limit</h2>

Commas: 196/195, 352/351, 364/363, 625/624<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.233<br />

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<br />

<h2 id="toc5"><a name="Mystic-19-limit"></a>19-limit</h2>

Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 703.253<br />

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<br />

<h1 id="toc6"><a name="Semisept"></a>Semisept</h1>

Comma: 782757789696/762939453125<br />

<br />

POTE generator: ~192/125 = 735.146<br />

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<br />

<h2 id="toc7"><a name="Semisept-7-limit"></a>7-limit</h2>

Commas: 3136/~~3126~~, 1728/1715<br />

Commas: 3136/3125, 1728/1715<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~75/49) 735.155<br />

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<br />

<h2 id="toc8"><a name="Semisept-11-limit"></a>11-limit</h2>

Commas: 176/175, 540/539, 1331/1323<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~55/36) 735.125<br />

<br />

Map: [&lt;1 12 6 12 20|, &lt;0 -17 -6 -15 -27|]<br />

EDOs: 18, 31, 80, 111, 364cd, <br />

EDOs: 18e, 31, 80, 111, 364cd,<br />

Badness: 0.0225<br />

<br />

<h3 id="toc9"><a name="Semisept-11-limit-Semishly"></a>Semishly</h3>

Commas: 144/143, 176/175, 196/195, 275/273<br />

<br />

POTE generator: ~13/10 = 464.980<br />

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<br />

<h2 id="toc10"><a name="Semisept-13-limit"></a>13-limit</h2>

Commas: 176/175, 351/350, 540/539, 1375/1372<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.126<br />

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<br />

<h2 id="toc11"><a name="Semisept-17-limit"></a>17-limit</h2>

Commas: 176/175, 256/255, 351/350, 640/637, 715/714<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: (~26/17) 735.125<br />

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<br />

<h2 id="toc12"><a name="Semisept-19-limit"></a>19-limit</h2>

Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 735.116<br />

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<br />

<h2 id="toc13"><a name="Semisept-23-limit"></a>23-limit</h2>

Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 435.106<br />

<br />

Map: [&lt;1 12 6 12 20 -11 -10 -8 18|, <br />

Map: [&lt;1 12 6 12 20 -11 -10 -8 18|,<br />

&lt;0 -17 -6 -15 -27 24 23 20 -22|]<br />

EDOs: 31, 80, 111, 191cdh, 302cdgh<br />

<br />

<h1 id="toc14"><a name="Sengagen"></a>Sengagen</h1>

Commas: 3136/3125, 420175/419904<br />

<br />

POTE generator: ~686/675 = 24.217<br />

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<br />

<h1 id="toc15"><a name="Subpental"></a>Subpental</h1>

Commas: 3136/3125, 19683/19600<br />

<br />

POTE generator: ~56/45 = 378.467<br />

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<br />

<h2 id="toc16"><a name="Subpental-11-limit"></a>11-limit</h2>

Commas: 540/539, 3136/3125, 8019/8000<br />

<br />

POTE generator: ~56/45 = 378.440<br />

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<br />

<h2 id="toc17"><a name="Subpental-13-limit"></a>13-limit</h2>

Commas: 351/350, 540/539, 676/675, 3136/3125<br />

<br />

POTE generator: ~56/45 = 378.437<br />

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<br />

<h1 id="toc18"><a name="Arch"></a>Arch</h1>

Commas: 3136/3125, 5250987/5242880<br />

<br />

POTE generator: ~64/63 = 27.668<br />

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<br />

<h2 id="toc19"><a name="Arch-11-limit"></a>11-limit</h2>

Commas: 441/440, 3136/3125, 4000/3993<br />

<br />

POTE generator: ~64/63 = 27.663<br />

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<br />

<h2 id="toc20"><a name="Arch-13-limit"></a>13-limit</h2>

Commas: 364/363, 441/440, 676/675, 3136/3125<br />

<br />

POTE generator: ~64/63 = 27.660<br />

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<br />

<h1 id="toc21"><a name="Emka"></a>Emka</h1>

Commas: 3136/3125, 84035/82944<br />

<br />

POTE generator: ~48/35 = 551.782<br />

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<br />

<h2 id="toc22"><a name="Emka-11-limit"></a>11-limit</h2>

Commas: 385/384, 2401/2376, 3136/3125<br />

<br />

POTE generator: ~11/8 = 551.765<br />

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<br />

<h2 id="toc23"><a name="Emka-13-limit"></a>13-limit</h2>

Commas: 196/195, 364/363, 385/384, 625/624<br />

<br />

POTE generator: ~11/8 = 551.758<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2013-01-10 09:22:27 UTC</tt>.<br>
+: This revision was by author [[User:Gedankenwelt|Gedankenwelt]] and made on <tt>2014-03-07 12:30:13 UTC</tt>.<br>
-: The original revision id was <tt>397272172</tt>.<br>
+: The original revision id was <tt>494295216</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]]
 The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.
@@ Line 17: / Line 16: @@
 EDOs: [[6edo|6]], [[12edo|12]], [[19edo|12]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]]
 =Misty=
 Commas: 3136/3125, 5120/5103
@@ Line 26: / Line 25: @@
 EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]
 ==11-limit==
 Commas: 441/440, 3136/3125, 4375/4356
@@ Line 34: / Line 33: @@
 EDOs: 12, 87, 99e, 186e
 ==13-limit==
 Commas: 196/195, 352/351, 364/363, 625/624
@@ Line 42: / Line 41: @@
 EDOs: 12, 87, 186ef, 273ef
 =Mystic=
 Commas: 325/324, 441/440, 896/891, 1001/1000
@@ Line 50: / Line 49: @@
 EDOs: 12, 87, 186e, 273e, 633bde
 ==17-limit==
 Commas: 196/195, 352/351, 364/363, 625/624
@@ Line 58: / Line 57: @@
 EDOs: 87, 186ef, 273ef
 ==19-limit==
 Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324
@@ Line 66: / Line 65: @@
 EDOs: 46, 87, 133, 326de, 413degh
 =Semisept=
 Comma: 782757789696/762939453125
@@ Line 75: / Line 74: @@
 Badness: 0.6306
 ==7-limit==
-Commas: 3136/3126, 1728/1715
+Commas: 3136/3125, 1728/1715
 [[POTE tuning|POTE generator]]: (~75/49) 735.155
@@ Line 84: / Line 83: @@
 EDOs: [[18edo|18]], 31, [[80edo|80]], 111
 ==11-limit==
 Commas: 176/175, 540/539, 1331/1323
@@ Line 90: / Line 89: @@
 Map: [&lt;1 12 6 12 20|, &lt;0 -17 -6 -15 -27|]
-EDOs: 18, 31, 80, 111, 364cd,
+EDOs: 18e, 31, 80, 111, 364cd,
 Badness: 0.0225
 ===Semishly===
 Commas: 144/143, 176/175, 196/195, 275/273
@@ Line 102: / Line 101: @@
 Badness: 0.0284
 ==13-limit==
 Commas: 176/175, 351/350, 540/539, 1375/1372
@@ Line 111: / Line 110: @@
 Badness: 0.0252
 ==17-limit==
 Commas: 176/175, 256/255, 351/350, 640/637, 715/714
@@ Line 119: / Line 118: @@
 EDOs: 31, 80, 111
 ==19-limit==
 Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323
@@ Line 127: / Line 126: @@
 EDOs: 31, 80, 111
 ==23-limit==
 Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459
 [[POTE tuning|POTE generator]]: 435.106
 Map: [&lt;1 12 6 12 20 -11 -10 -8 18|,
 &lt;0 -17 -6 -15 -27 24 23 20 -22|]
 EDOs: 31, 80, 111, 191cdh, 302cdgh
 =Sengagen=
 Commas: 3136/3125, 420175/419904
@@ Line 146: / Line 145: @@
 Badness: 0.0580
 =Subpental=
 Commas: 3136/3125, 19683/19600
@@ Line 156: / Line 155: @@
 Badness: 0.0543
 ==11-limit==
 Commas: 540/539, 3136/3125, 8019/8000
@@ Line 165: / Line 164: @@
 Badness: 0.0453
 ==13-limit==
 Commas: 351/350, 540/539, 676/675, 3136/3125
@@ Line 174: / Line 173: @@
 Badness: 0.0239
 =Arch=
 Commas: 3136/3125, 5250987/5242880
@@ Line 184: / Line 183: @@
 Badness: 0.0943
 ==11-limit==
 Commas: 441/440, 3136/3125, 4000/3993
@@ Line 193: / Line 192: @@
 Badness: 0.0365
 ==13-limit==
 Commas: 364/363, 441/440, 676/675, 3136/3125
@@ Line 202: / Line 201: @@
 Badness: 0.0195
 =Emka=
 Commas: 3136/3125, 84035/82944
@@ Line 211: / Line 210: @@
 Badness: 0.1443
 ==11-limit==
 Commas: 385/384, 2401/2376, 3136/3125
@@ Line 220: / Line 219: @@
 Badness: 0.0547
 ==13-limit==
 Commas: 196/195, 364/363, 385/384, 625/624
@@ Line 227: / Line 226: @@
 Map: [&lt;1 14 6 12 3 6|, &lt;0 -27 -8 -20 1 -5|]
 EDOs: 37, 50, 87, 224d, 311d, 398d
-Badness: 0.0297
+Badness: 0.0297</pre></div>
-</pre></div>
 <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;Hemimean clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:48:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Misty"&gt;Misty&lt;/a&gt;&lt;/div&gt;
@@ Line 257: / Line 253: @@
 &lt;!-- ws:end:WikiTextTocRule:71 --&gt;&lt;!-- ws:start:WikiTextTocRule:72: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Emka-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:72 --&gt;&lt;!-- ws:start:WikiTextTocRule:73: --&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:73 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:73 --&gt;The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.&lt;br /&gt;
-The hemimean clan, tempering out the no-threes hemimean comma 3136/3125, contains the temperaments misty and semisept, considered below, as well as meantone, hemiwuerschmidt, parakleismic, hemithirds, clyde, hemischismic, passion, hexe and sycamore considered elsewhere.&lt;br /&gt;
 &lt;br /&gt;
 Comma: 3136/3125&lt;br /&gt;
@@ Line 268: / Line 263: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Misty"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Misty&lt;/h1&gt;
-Commas: 3136/3125, 5120/5103&lt;br /&gt;
+ Commas: 3136/3125, 5120/5103&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.021&lt;br /&gt;
@@ Line 277: / Line 272: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Misty-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
-Commas: 441/440, 3136/3125, 4375/4356&lt;br /&gt;
+ Commas: 441/440, 3136/3125, 4375/4356&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.210&lt;br /&gt;
@@ Line 285: / Line 280: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Misty-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
-Commas: 196/195, 352/351, 364/363, 625/624&lt;br /&gt;
+ Commas: 196/195, 352/351, 364/363, 625/624&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.303&lt;br /&gt;
@@ Line 293: / Line 288: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Mystic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Mystic&lt;/h1&gt;
-Commas: 325/324, 441/440, 896/891, 1001/1000&lt;br /&gt;
+ Commas: 325/324, 441/440, 896/891, 1001/1000&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.311&lt;br /&gt;
@@ Line 301: / Line 296: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Mystic-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;17-limit&lt;/h2&gt;
-Commas: 196/195, 352/351, 364/363, 625/624&lt;br /&gt;
+ Commas: 196/195, 352/351, 364/363, 625/624&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.233&lt;br /&gt;
@@ Line 309: / Line 304: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Mystic-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;19-limit&lt;/h2&gt;
-Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324&lt;br /&gt;
+ Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 703.253&lt;br /&gt;
@@ Line 317: / Line 312: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Semisept"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Semisept&lt;/h1&gt;
-Comma: 782757789696/762939453125&lt;br /&gt;
+ Comma: 782757789696/762939453125&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~192/125 = 735.146&lt;br /&gt;
@@ Line 326: / Line 321: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Semisept-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;7-limit&lt;/h2&gt;
-Commas: 3136/3126, 1728/1715&lt;br /&gt;
+ Commas: 3136/3125, 1728/1715&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: (~75/49) 735.155&lt;br /&gt;
@@ Line 335: / Line 330: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Semisept-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h2&gt;
-Commas: 176/175, 540/539, 1331/1323&lt;br /&gt;
+ Commas: 176/175, 540/539, 1331/1323&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: (~55/36) 735.125&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 12 6 12 20|, &amp;lt;0 -17 -6 -15 -27|]&lt;br /&gt;
-EDOs: 18, 31, 80, 111, 364cd, &lt;br /&gt;
+EDOs: 18e, 31, 80, 111, 364cd,&lt;br /&gt;
 Badness: 0.0225&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="Semisept-11-limit-Semishly"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Semishly&lt;/h3&gt;
-Commas: 144/143, 176/175, 196/195, 275/273&lt;br /&gt;
+ Commas: 144/143, 176/175, 196/195, 275/273&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~13/10 = 464.980&lt;br /&gt;
@@ Line 353: / Line 348: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Semisept-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;13-limit&lt;/h2&gt;
-Commas: 176/175, 351/350, 540/539, 1375/1372&lt;br /&gt;
+ Commas: 176/175, 351/350, 540/539, 1375/1372&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 735.126&lt;br /&gt;
@@ Line 362: / Line 357: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Semisept-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;17-limit&lt;/h2&gt;
-Commas: 176/175, 256/255, 351/350, 640/637, 715/714&lt;br /&gt;
+ Commas: 176/175, 256/255, 351/350, 640/637, 715/714&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: (~26/17) 735.125&lt;br /&gt;
@@ Line 370: / Line 365: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Semisept-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;19-limit&lt;/h2&gt;
-Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323&lt;br /&gt;
+ Commas: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 735.116&lt;br /&gt;
@@ Line 378: / Line 373: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Semisept-23-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;23-limit&lt;/h2&gt;
-Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459&lt;br /&gt;
+ Commas: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 435.106&lt;br /&gt;
 &lt;br /&gt;
-Map: [&amp;lt;1 12 6 12 20 -11 -10 -8 18|, &lt;br /&gt;
+Map: [&amp;lt;1 12 6 12 20 -11 -10 -8 18|,&lt;br /&gt;
 &amp;lt;0 -17 -6 -15 -27 24 23 20 -22|]&lt;br /&gt;
 EDOs: 31, 80, 111, 191cdh, 302cdgh&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="Sengagen"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Sengagen&lt;/h1&gt;
-Commas: 3136/3125, 420175/419904&lt;br /&gt;
+ Commas: 3136/3125, 420175/419904&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~686/675 = 24.217&lt;br /&gt;
@@ Line 397: / Line 392: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Subpental"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Subpental&lt;/h1&gt;
-Commas: 3136/3125, 19683/19600&lt;br /&gt;
+ Commas: 3136/3125, 19683/19600&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~56/45 = 378.467&lt;br /&gt;
@@ Line 407: / Line 402: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Subpental-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;11-limit&lt;/h2&gt;
-Commas: 540/539, 3136/3125, 8019/8000&lt;br /&gt;
+ Commas: 540/539, 3136/3125, 8019/8000&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~56/45 = 378.440&lt;br /&gt;
@@ Line 416: / Line 411: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Subpental-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;13-limit&lt;/h2&gt;
-Commas: 351/350, 540/539, 676/675, 3136/3125&lt;br /&gt;
+ Commas: 351/350, 540/539, 676/675, 3136/3125&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~56/45 = 378.437&lt;br /&gt;
@@ Line 425: / Line 420: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Arch"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Arch&lt;/h1&gt;
-Commas: 3136/3125, 5250987/5242880&lt;br /&gt;
+ Commas: 3136/3125, 5250987/5242880&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~64/63 = 27.668&lt;br /&gt;
@@ Line 435: / Line 430: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Arch-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;11-limit&lt;/h2&gt;
-Commas: 441/440, 3136/3125, 4000/3993&lt;br /&gt;
+ Commas: 441/440, 3136/3125, 4000/3993&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~64/63 = 27.663&lt;br /&gt;
@@ Line 444: / Line 439: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Arch-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;13-limit&lt;/h2&gt;
-Commas: 364/363, 441/440, 676/675, 3136/3125&lt;br /&gt;
+ Commas: 364/363, 441/440, 676/675, 3136/3125&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~64/63 = 27.660&lt;br /&gt;
@@ Line 453: / Line 448: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Emka"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Emka&lt;/h1&gt;
-Commas: 3136/3125, 84035/82944&lt;br /&gt;
+ Commas: 3136/3125, 84035/82944&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~48/35 = 551.782&lt;br /&gt;
@@ Line 462: / Line 457: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Emka-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;11-limit&lt;/h2&gt;
-Commas: 385/384, 2401/2376, 3136/3125&lt;br /&gt;
+ Commas: 385/384, 2401/2376, 3136/3125&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~11/8 = 551.765&lt;br /&gt;
@@ Line 471: / Line 466: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Emka-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;13-limit&lt;/h2&gt;
-Commas: 196/195, 364/363, 385/384, 625/624&lt;br /&gt;
+ Commas: 196/195, 364/363, 385/384, 625/624&lt;br /&gt;
 &lt;br /&gt;
 POTE generator: ~11/8 = 551.758&lt;br /&gt;