Augmented family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 336784810 - Original comment: ** |
Wikispaces>guest **Imported revision 357183434 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2012-08-10 10:13:57 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>357183434</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]] | <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 5-limit parent comma for the **augmented family** is 128/125, the [[128_125|diesis]]. Its [[monzo]] is |7 0 -3>, and flipping that yields <<3 0 -7|| for the [[wedgie]]. Hence the period is 1/3 octave, and this is what is used for a major third. The [[generator]] can be taken as a fifth or a semitone, and [[12edo]], with its excellent fifth, is an obvious tuning for [[5-limit]] augmented, though a sharper fifth might be preferred to go with the sharp third. | |||
=Seven limit children= | |||
=Seven limit children= | |||
The second comma of the [[Normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. August adds 36/35, augene 64/63, hexe 256/245, hemiaug 245/243, and hemis 49/48. Hexe splits the period to 1/6 octave, and hemiaug the generator, giving quarter-tones instead of semitones. | The second comma of the [[Normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. August adds 36/35, augene 64/63, hexe 256/245, hemiaug 245/243, and hemis 49/48. Hexe splits the period to 1/6 octave, and hemiaug the generator, giving quarter-tones instead of semitones. | ||
=August= | =August= | ||
[[Comma]]s: 36/35, 128/125 | [[Comma]]s: 36/35, 128/125 | ||
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[[Badness]]: 0.0265 | [[Badness]]: 0.0265 | ||
==11-limit== | ==11-limit== | ||
Commas: 36/35, 45/44, 56/55 | Commas: 36/35, 45/44, 56/55 | ||
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Badness: 0.0202 | Badness: 0.0202 | ||
==13-limit== | ==13-limit== | ||
Commas: 27/26, 36/35, 45/44, 56/55 | Commas: 27/26, 36/35, 45/44, 56/55 | ||
| Line 41: | Line 40: | ||
Badness: 0.0184 | Badness: 0.0184 | ||
==Augustus== | ==Augustus== | ||
Commas: 26/25, 36/35, 45/44, 56/55 | Commas: 26/25, 36/35, 45/44, 56/55 | ||
| Line 50: | Line 49: | ||
Badness: 0.0222 | Badness: 0.0222 | ||
=Augene= | =Augene= | ||
Commas: 64/63, 126/125 | Commas: 64/63, 126/125 | ||
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Badness: 0.0248 | Badness: 0.0248 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 64/63, 100/99 | Commas: 56/55, 64/63, 100/99 | ||
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Badness: 0.0196 | Badness: 0.0196 | ||
===13-limit=== | ===13-limit=== | ||
Commas: 40/39, 56/55, 64/63, 66/65 | Commas: 40/39, 56/55, 64/63, 66/65 | ||
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Badness: 0.0208 | Badness: 0.0208 | ||
===Ogene=== | ===Ogene=== | ||
Commas: 56/55, 64/63, 91/90, 100/99 | Commas: 56/55, 64/63, 91/90, 100/99 | ||
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Badness: 0.0229 | Badness: 0.0229 | ||
==Eugene== | ==Eugene== | ||
Commas: 55/54, 64/63, 77/75 | Commas: 55/54, 64/63, 77/75 | ||
POTE generator: ~3/2 = 714.150 | POTE generator: ~3/2 = 714.150 | ||
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[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]] by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]] | [[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]] by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]] | ||
=Inflated= | =Inflated= | ||
Commas: 28/27, 128/125 | Commas: 28/27, 128/125 | ||
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Badness: 0.0547 | Badness: 0.0547 | ||
==11-limit== | ==11-limit== | ||
Commas: 28/27, 55/54, 128/125 | Commas: 28/27, 55/54, 128/125 | ||
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Badness: 0.0312 | Badness: 0.0312 | ||
=Deflated= | =Deflated= | ||
Commas: 21/20, 128/125 | Commas: 21/20, 128/125 | ||
| Line 128: | Line 127: | ||
Badness: 0.0591 | Badness: 0.0591 | ||
=Hexe= | =Hexe= | ||
Commas: 50/49, 128/125 | Commas: 50/49, 128/125 | ||
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Badness: 0.0577 | Badness: 0.0577 | ||
==11-limit== | ==11-limit== | ||
Commas: 50/49, 56/55, 125/121 | Commas: 50/49, 56/55, 125/121 | ||
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Badness: 0.0384 | Badness: 0.0384 | ||
==13-limit== | ==13-limit== | ||
Commas: 50/49, 56/55, 66/65, 105/104 | Commas: 50/49, 56/55, 66/65, 105/104 | ||
| Line 156: | Line 155: | ||
Badness: 0.0359 | Badness: 0.0359 | ||
=Hemiaug= | =Hemiaug= | ||
Commas: 128/125, 245/243 | Commas: 128/125, 245/243 | ||
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Badness: 0.0705 | Badness: 0.0705 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 128/125, 245/243 | Commas: 56/55, 128/125, 245/243 | ||
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Badness: 0.0382 | Badness: 0.0382 | ||
==13-limit== | ==13-limit== | ||
Commas: 56/55, 91/90, 128/125, 245/243 | Commas: 56/55, 91/90, 128/125, 245/243 | ||
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Badness: 0.0302 | Badness: 0.0302 | ||
=Triforce= | =Triforce= | ||
Commas: 49/48, 128/125 | Commas: 49/48, 128/125 | ||
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[[image:triforce9.jpg]] | [[image:triforce9.jpg]] | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 77/75, 128/125 | Commas: 56/55, 77/75, 128/125 | ||
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Badness: 0.0262 | Badness: 0.0262 | ||
==13-limit== | ===Musical example:=== | ||
[[http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15|The Triforce of Courage (tuned in 15edo)]] by Igliashon Jones | |||
==13-limit== | |||
Commas: 49/48, 56/55, 66/65, 77/75 | Commas: 49/48, 56/55, 66/65, 77/75 | ||
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[[triphi|Triforce(9) with L:s = phi]] | [[triphi|Triforce(9) with L:s = phi]] | ||
==Semitriforce== | ==Semitriforce== | ||
Commas: 49/48, 56/55, 77/75, 507/500 | Commas: 49/48, 56/55, 77/75, 507/500 | ||
POTE generator: ~7/6 = 246.642 | POTE generator: ~7/6 = 246.642 | ||
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Badness: 0.0592 | Badness: 0.0592 | ||
=Hemiug= | === === | ||
=Hemiug= | |||
Commas: 128/125, 1323/1250 | Commas: 128/125, 1323/1250 | ||
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==11-limit== | ==11-limit== | ||
Commas: 56/55, 128/125, 1323/1250 | Commas: 56/55, 128/125, 1323/1250 | ||
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Badness: 0.0681 | Badness: 0.0681 | ||
==13-limit== | ==13-limit== | ||
Commas: 56/55, 66/65, 105/104, 507/500 | Commas: 56/55, 66/65, 105/104, 507/500 | ||
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Badness: 0.0423 | Badness: 0.0423 | ||
=Oodako= | =Oodako= | ||
Commas: 128/125, 2401/2400 | Commas: 128/125, 2401/2400 | ||
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Badness: 0.1132 | Badness: 0.1132 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 128/125, 3773/3750 | Commas: 56/55, 128/125, 3773/3750 | ||
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Badness: 0.0592 | Badness: 0.0592 | ||
==13-limit== | ==13-limit== | ||
Commas: 56/55, 78/77, 128/125, 507/500 | Commas: 56/55, 78/77, 128/125, 507/500 | ||
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Badness: 0.0423 | Badness: 0.0423 | ||
=Hemisemiaug= | =Hemisemiaug= | ||
Commas: 128/125, 12005/11664 | Commas: 128/125, 12005/11664 | ||
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Badness: 0.2110 | Badness: 0.2110 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 128/125, 3773/3645 | Commas: 56/55, 128/125, 3773/3645 | ||
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Badness: 0.0807 | Badness: 0.0807 | ||
=Niner= | =Niner= | ||
Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27edo. Niner[18], therefore, has nine such tetrads. | Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27edo. Niner[18], therefore, has nine such tetrads. | ||
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Badness: 0.0672 | Badness: 0.0672 | ||
==11-limit== | ==11-limit== | ||
Commas: 56/55, 128/125, 540/539 | Commas: 56/55, 128/125, 540/539 | ||
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Badness: 0.0349 | Badness: 0.0349 | ||
==13-limit== | ==13-limit== | ||
Commas: 56/55, 78/77, 91/90, 128/125 | Commas: 56/55, 78/77, 91/90, 128/125 | ||
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Badness: 0.0241</pre></div> | Badness: 0.0241</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Augmented family</title></head><body><!-- ws:start:WikiTextTocRule: | <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>Augmented family</title></head><body><!-- ws:start:WikiTextTocRule:72:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><div style="margin-left: 1em;"><a href="#Seven limit children">Seven limit children</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><div style="margin-left: 1em;"><a href="#August">August</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><div style="margin-left: 2em;"><a href="#August-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><div style="margin-left: 2em;"><a href="#August-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><div style="margin-left: 2em;"><a href="#August-Augustus">Augustus</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --><div style="margin-left: 1em;"><a href="#Augene">Augene</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><div style="margin-left: 2em;"><a href="#Augene-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><div style="margin-left: 3em;"><a href="#Augene-11-limit-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><div style="margin-left: 3em;"><a href="#Augene-11-limit-Ogene">Ogene</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><div style="margin-left: 2em;"><a href="#Augene-Eugene">Eugene</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --><div style="margin-left: 1em;"><a href="#Inflated">Inflated</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><div style="margin-left: 2em;"><a href="#Inflated-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><div style="margin-left: 1em;"><a href="#Deflated">Deflated</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><div style="margin-left: 1em;"><a href="#Hexe">Hexe</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><div style="margin-left: 2em;"><a href="#Hexe-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><div style="margin-left: 2em;"><a href="#Hexe-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><div style="margin-left: 1em;"><a href="#Hemiaug">Hemiaug</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><div style="margin-left: 2em;"><a href="#Hemiaug-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><div style="margin-left: 2em;"><a href="#Hemiaug-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><div style="margin-left: 1em;"><a href="#Triforce">Triforce</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><div style="margin-left: 2em;"><a href="#Triforce-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><div style="margin-left: 3em;"><a href="#Triforce-11-limit-Musical example:">Musical example:</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><div style="margin-left: 2em;"><a href="#Triforce-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><div style="margin-left: 2em;"><a href="#Triforce-Semitriforce">Semitriforce</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><div style="margin-left: 3em;"><a href="#toc24"> </a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --><div style="margin-left: 1em;"><a href="#Hemiug">Hemiug</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><div style="margin-left: 2em;"><a href="#Hemiug-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><div style="margin-left: 2em;"><a href="#Hemiug-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><div style="margin-left: 1em;"><a href="#Oodako">Oodako</a></div> | ||
<!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><div style="margin-left: 2em;"><a href="#Oodako-11-limit">11-limit</a></div> | |||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --><div style="margin-left: 2em;"><a href="#Oodako-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><div style="margin-left: 1em;"><a href="#Hemisemiaug">Hemisemiaug</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><div style="margin-left: 2em;"><a href="#Hemisemiaug-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><div style="margin-left: 1em;"><a href="#Niner">Niner</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --><div style="margin-left: 2em;"><a href="#Niner-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --><div style="margin-left: 2em;"><a href="#Niner-13-limit">13-limit</a></div> | ||
The 5-limit parent comma for the <strong>augmented family</strong> is 128/125, the <a class="wiki_link" href="/128_125">diesis</a>. Its <a class="wiki_link" href="/monzo">monzo</a> is |7 0 -3&gt;, and flipping that yields &lt;&lt;3 0 -7|| for the <a class="wiki_link" href="/wedgie">wedgie</a>. Hence the period is 1/3 octave, and this is what is used for a major third. The <a class="wiki_link" href="/generator">generator</a> can be taken as a fifth or a semitone, and <a class="wiki_link" href="/12edo">12edo</a>, with its excellent fifth, is an obvious tuning for <a class="wiki_link" href="/5-limit">5-limit</a> augmented, though a sharper fifth might be preferred to go with the sharp third. <br /> | <!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --></div> | ||
<!-- ws:end:WikiTextTocRule:109 -->The 5-limit parent comma for the <strong>augmented family</strong> is 128/125, the <a class="wiki_link" href="/128_125">diesis</a>. Its <a class="wiki_link" href="/monzo">monzo</a> is |7 0 -3&gt;, and flipping that yields &lt;&lt;3 0 -7|| for the <a class="wiki_link" href="/wedgie">wedgie</a>. Hence the period is 1/3 octave, and this is what is used for a major third. The <a class="wiki_link" href="/generator">generator</a> can be taken as a fifth or a semitone, and <a class="wiki_link" href="/12edo">12edo</a>, with its excellent fifth, is an obvious tuning for <a class="wiki_link" href="/5-limit">5-limit</a> augmented, though a sharper fifth might be preferred to go with the sharp third.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Seven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Seven limit children</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Seven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Seven limit children</h1> | ||
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. August adds 36/35, augene 64/63, hexe 256/245, hemiaug 245/243, and hemis 49/48. Hexe splits the period to 1/6 octave, and hemiaug the generator, giving quarter-tones instead of semitones.<br /> | 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. August adds 36/35, augene 64/63, hexe 256/245, hemiaug 245/243, and hemis 49/48. Hexe splits the period to 1/6 octave, and hemiaug the generator, giving quarter-tones instead of semitones.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="August"></a><!-- ws:end:WikiTextHeadingRule:2 -->August</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="August"></a><!-- ws:end:WikiTextHeadingRule:2 -->August</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 36/35, 128/125<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 36/35, 128/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 696.011<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 696.011<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="August-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="August-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | ||
Commas: 36/35, 45/44, 56/55<br /> | Commas: 36/35, 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 692.514<br /> | POTE generator: ~3/2 = 692.514<br /> | ||
| Line 392: | Line 395: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="August-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="August-13-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->13-limit</h2> | ||
Commas: 27/26, 36/35, 45/44, 56/55<br /> | Commas: 27/26, 36/35, 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 688.783<br /> | POTE generator: ~3/2 = 688.783<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="August-Augustus"></a><!-- ws:end:WikiTextHeadingRule:8 -->Augustus</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="August-Augustus"></a><!-- ws:end:WikiTextHeadingRule:8 -->Augustus</h2> | ||
Commas: 26/25, 36/35, 45/44, 56/55<br /> | Commas: 26/25, 36/35, 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 685.356<br /> | POTE generator: ~3/2 = 685.356<br /> | ||
| Line 410: | Line 413: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Augene"></a><!-- ws:end:WikiTextHeadingRule:10 -->Augene</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Augene"></a><!-- ws:end:WikiTextHeadingRule:10 -->Augene</h1> | ||
Commas: 64/63, 126/125<br /> | Commas: 64/63, 126/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 709.257<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 709.257<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Augene-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Augene-11-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-limit</h2> | ||
Commas: 56/55, 64/63, 100/99<br /> | Commas: 56/55, 64/63, 100/99<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 711.177<br /> | POTE generator: ~3/2 = 711.177<br /> | ||
| Line 429: | Line 432: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Augene-11-limit-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Augene-11-limit-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3> | ||
Commas: 40/39, 56/55, 64/63, 66/65<br /> | Commas: 40/39, 56/55, 64/63, 66/65<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 712.013<br /> | POTE generator: ~3/2 = 712.013<br /> | ||
| Line 438: | Line 441: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Augene-11-limit-Ogene"></a><!-- ws:end:WikiTextHeadingRule:16 -->Ogene</h3> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Augene-11-limit-Ogene"></a><!-- ws:end:WikiTextHeadingRule:16 -->Ogene</h3> | ||
Commas: 56/55, 64/63, 91/90, 100/99<br /> | Commas: 56/55, 64/63, 91/90, 100/99<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 712.609<br /> | POTE generator: ~3/2 = 712.609<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Augene-Eugene"></a><!-- ws:end:WikiTextHeadingRule:18 -->Eugene</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Augene-Eugene"></a><!-- ws:end:WikiTextHeadingRule:18 -->Eugene</h2> | ||
Commas: 55/54, 64/63, 77/75 <br /> | Commas: 55/54, 64/63, 77/75<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 714.150<br /> | POTE generator: ~3/2 = 714.150<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Inflated"></a><!-- ws:end:WikiTextHeadingRule:20 -->Inflated</h1> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Inflated"></a><!-- ws:end:WikiTextHeadingRule:20 -->Inflated</h1> | ||
Commas: 28/27, 128/125<br /> | Commas: 28/27, 128/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 722.719<br /> | POTE generator: ~3/2 = 722.719<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Inflated-11-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Inflated-11-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->11-limit</h2> | ||
Commas: 28/27, 55/54, 128/125<br /> | Commas: 28/27, 55/54, 128/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 722.663<br /> | POTE generator: ~3/2 = 722.663<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Deflated"></a><!-- ws:end:WikiTextHeadingRule:24 -->Deflated</h1> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Deflated"></a><!-- ws:end:WikiTextHeadingRule:24 -->Deflated</h1> | ||
Commas: 21/20, 128/125<br /> | Commas: 21/20, 128/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 681.629<br /> | POTE generator: ~3/2 = 681.629<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Hexe"></a><!-- ws:end:WikiTextHeadingRule:26 -->Hexe</h1> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Hexe"></a><!-- ws:end:WikiTextHeadingRule:26 -->Hexe</h1> | ||
Commas: 50/49, 128/125<br /> | Commas: 50/49, 128/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.963<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.963<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Hexe-11-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Hexe-11-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->11-limit</h2> | ||
Commas: 50/49, 56/55, 125/121<br /> | Commas: 50/49, 56/55, 125/121<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 714.304<br /> | POTE generator: ~3/2 = 714.304<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Hexe-13-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Hexe-13-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->13-limit</h2> | ||
Commas: 50/49, 56/55, 66/65, 105/104<br /> | Commas: 50/49, 56/55, 66/65, 105/104<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 710.005<br /> | POTE generator: ~3/2 = 710.005<br /> | ||
| Line 516: | Line 519: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Hemiaug"></a><!-- ws:end:WikiTextHeadingRule:32 -->Hemiaug</h1> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Hemiaug"></a><!-- ws:end:WikiTextHeadingRule:32 -->Hemiaug</h1> | ||
Commas: 128/125, 245/243<br /> | Commas: 128/125, 245/243<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~28/27 = 45.118<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~28/27 = 45.118<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Hemiaug-11-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Hemiaug-11-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->11-limit</h2> | ||
Commas: 56/55, 128/125, 245/243<br /> | Commas: 56/55, 128/125, 245/243<br /> | ||
<br /> | <br /> | ||
POTE generator: ~28/27 = 45.788<br /> | POTE generator: ~28/27 = 45.788<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Hemiaug-13-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Hemiaug-13-limit"></a><!-- ws:end:WikiTextHeadingRule:36 -->13-limit</h2> | ||
Commas: 56/55, 91/90, 128/125, 245/243<br /> | Commas: 56/55, 91/90, 128/125, 245/243<br /> | ||
<br /> | <br /> | ||
POTE generator: ~28/27 = 46.250<br /> | POTE generator: ~28/27 = 46.250<br /> | ||
| Line 544: | Line 547: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Triforce"></a><!-- ws:end:WikiTextHeadingRule:38 -->Triforce</h1> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Triforce"></a><!-- ws:end:WikiTextHeadingRule:38 -->Triforce</h1> | ||
Commas: 49/48, 128/125<br /> | Commas: 49/48, 128/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 247.049<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 247.049<br /> | ||
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Badness: 0.0202<br /> | Badness: 0.0202<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:110:&lt;img src=&quot;/file/view/triforce9.jpg/271381934/triforce9.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/triforce9.jpg/271381934/triforce9.jpg" alt="triforce9.jpg" title="triforce9.jpg" /><!-- ws:end:WikiTextLocalImageRule:110 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Triforce-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Triforce-11-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->11-limit</h2> | ||
Commas: 56/55, 77/75, 128/125<br /> | Commas: 56/55, 77/75, 128/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 247.068<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 247.068<br /> | ||
| Line 564: | Line 567: | ||
Badness: 0.0262<br /> | Badness: 0.0262<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id=" | <!-- ws:start:WikiTextHeadingRule:42:&lt;h3&gt; --><h3 id="toc21"><a name="Triforce-11-limit-Musical example:"></a><!-- ws:end:WikiTextHeadingRule:42 -->Musical example:</h3> | ||
Commas: 49/48, 56/55, 66/65, 77/75<br /> | <a class="wiki_link_ext" href="http://soundcloud.com/cityoftheasleep/the-triforce-of-courage15" rel="nofollow">The Triforce of Courage (tuned in 15edo)</a> by Igliashon Jones<br /> | ||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Triforce-13-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->13-limit</h2> | |||
Commas: 49/48, 56/55, 66/65, 77/75<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 248.313<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/6 = 248.313<br /> | ||
| Line 575: | Line 580: | ||
<a class="wiki_link" href="/triphi">Triforce(9) with L:s = phi</a><br /> | <a class="wiki_link" href="/triphi">Triforce(9) with L:s = phi</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Triforce-Semitriforce"></a><!-- ws:end:WikiTextHeadingRule:46 -->Semitriforce</h2> | ||
Commas: 49/48, 56/55, 77/75, 507/500 <br /> | Commas: 49/48, 56/55, 77/75, 507/500<br /> | ||
<br /> | <br /> | ||
POTE generator: ~7/6 = 246.642<br /> | POTE generator: ~7/6 = 246.642<br /> | ||
| Line 584: | Line 589: | ||
Badness: 0.0592<br /> | Badness: 0.0592<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:48:&lt;h3&gt; --><h3 id="toc24"><!-- ws:end:WikiTextHeadingRule:48 --> </h3> | ||
Commas: 128/125, 1323/1250<br /> | <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Hemiug"></a><!-- ws:end:WikiTextHeadingRule:50 -->Hemiug</h1> | ||
Commas: 128/125, 1323/1250<br /> | |||
<br /> | <br /> | ||
POTE generator: ~21/20 = 52.093<br /> | POTE generator: ~21/20 = 52.093<br /> | ||
| Line 595: | Line 601: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Hemiug-11-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->11-limit</h2> | ||
Commas: 56/55, 128/125, 1323/1250<br /> | Commas: 56/55, 128/125, 1323/1250<br /> | ||
<br /> | <br /> | ||
POTE generator: ~21/20 = 51.655<br /> | POTE generator: ~21/20 = 51.655<br /> | ||
| Line 604: | Line 610: | ||
Badness: 0.0681<br /> | Badness: 0.0681<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Hemiug-13-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->13-limit</h2> | ||
Commas: 56/55, 66/65, 105/104, 507/500<br /> | Commas: 56/55, 66/65, 105/104, 507/500<br /> | ||
<br /> | <br /> | ||
POTE generator: ~21/20 = 51.548<br /> | POTE generator: ~21/20 = 51.548<br /> | ||
| Line 613: | Line 619: | ||
Badness: 0.0423<br /> | Badness: 0.0423<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc28"><a name="Oodako"></a><!-- ws:end:WikiTextHeadingRule:56 -->Oodako</h1> | ||
Commas: 128/125, 2401/2400<br /> | Commas: 128/125, 2401/2400<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 223.3540873874507317<br /> | POTE generator: ~8/7 = 223.3540873874507317<br /> | ||
| Line 623: | Line 629: | ||
Badness: 0.1132<br /> | Badness: 0.1132<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Oodako-11-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->11-limit</h2> | ||
Commas: 56/55, 128/125, 3773/3750<br /> | Commas: 56/55, 128/125, 3773/3750<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 223.019<br /> | POTE generator: ~8/7 = 223.019<br /> | ||
| Line 632: | Line 638: | ||
Badness: 0.0592<br /> | Badness: 0.0592<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Oodako-13-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->13-limit</h2> | ||
Commas: 56/55, 78/77, 128/125, 507/500<br /> | Commas: 56/55, 78/77, 128/125, 507/500<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 223.449<br /> | POTE generator: ~8/7 = 223.449<br /> | ||
| Line 641: | Line 647: | ||
Badness: 0.0423<br /> | Badness: 0.0423<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:62:&lt;h1&gt; --><h1 id="toc31"><a name="Hemisemiaug"></a><!-- ws:end:WikiTextHeadingRule:62 -->Hemisemiaug</h1> | ||
Commas: 128/125, 12005/11664<br /> | Commas: 128/125, 12005/11664<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 144.515<br /> | POTE generator: ~15/14 = 144.515<br /> | ||
| Line 651: | Line 657: | ||
Badness: 0.2110<br /> | Badness: 0.2110<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:64:&lt;h2&gt; --><h2 id="toc32"><a name="Hemisemiaug-11-limit"></a><!-- ws:end:WikiTextHeadingRule:64 -->11-limit</h2> | ||
Commas: 56/55, 128/125, 3773/3645<br /> | Commas: 56/55, 128/125, 3773/3645<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 144.780<br /> | POTE generator: ~15/14 = 144.780<br /> | ||
| Line 660: | Line 666: | ||
Badness: 0.0807<br /> | Badness: 0.0807<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:66:&lt;h1&gt; --><h1 id="toc33"><a name="Niner"></a><!-- ws:end:WikiTextHeadingRule:66 -->Niner</h1> | ||
Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27edo. Niner[18], therefore, has nine such tetrads.<br /> | Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27edo. Niner[18], therefore, has nine such tetrads.<br /> | ||
<br /> | <br /> | ||
Commas: 128/125, 686/675<br /> | Commas: 128/125, 686/675<br /> | ||
| Line 672: | Line 678: | ||
Badness: 0.0672<br /> | Badness: 0.0672<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="Niner-11-limit"></a><!-- ws:end:WikiTextHeadingRule:68 -->11-limit</h2> | ||
Commas: 56/55, 128/125, 540/539<br /> | Commas: 56/55, 128/125, 540/539<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 706.726<br /> | POTE generator: ~3/2 = 706.726<br /> | ||
| Line 681: | Line 687: | ||
Badness: 0.0349<br /> | Badness: 0.0349<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Niner-13-limit"></a><!-- ws:end:WikiTextHeadingRule:70 -->13-limit</h2> | ||
Commas: 56/55, 78/77, 91/90, 128/125<br /> | Commas: 56/55, 78/77, 91/90, 128/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~3/2 = 706.889<br /> | POTE generator: ~3/2 = 706.889<br /> | ||