Trienstonic clan: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 205295050 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 229795855 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-18 19:35:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>229795855</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"> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | ||
Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith. | |||
=Father= | |||
Commas: 16/15, 28/27 | Commas: 16/15, 28/27 | ||
7-limit minimax | 7-limit minimax | ||
[<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|] | [<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|] | ||
[[Eigenmonzo subgroup]]: 2.7/5 | |||
9-limit | 9-limit eigenmonzo subgroup: 2.9/5 | ||
[[POTE tuning|POTE generator]]: 742.002 | [[POTE tuning|POTE generator]]: 742.002 | ||
| Line 25: | Line 25: | ||
EDOs: 5, 8, 13, 21, 55, 76 | EDOs: 5, 8, 13, 21, 55, 76 | ||
==Octokaidecal | =Uncle= | ||
Commas: 28/27, 256/245 | |||
7-limit eigenmonzo subgroup: 2.5/3 | |||
9-limit eigenmonzo subgroup: 2.9/5 | |||
=Octokaidecal= | |||
Commas: 28/27, 50/49 | Commas: 28/27, 50/49 | ||
7-limit eigenmonzo subgroup: 2.5 | |||
9-limit eigenmonzo subgroup: 2.5 | |||
[[POTE tuning|POTE generator]]: 728.874 | [[POTE tuning|POTE generator]]: 728.874 | ||
| Line 34: | Line 44: | ||
EDOs: 10, 18, 28 | EDOs: 10, 18, 28 | ||
=Opossum= | |||
Commas: 28/27, 126/125 | Commas: 28/27, 126/125 | ||
7-limit eigenmonzo subgroup: 2.7 | |||
9-limit eigenmonzo subgroup: 2.7 | |||
[[POTE tuning|POTE generator]]: ~10/9 = 159.691 | [[POTE tuning|POTE generator]]: ~10/9 = 159.691 | ||
| Line 44: | Line 57: | ||
Badness: 0.0407 | Badness: 0.0407 | ||
==11-limit== | |||
Commas: 28/27, 55/54, 77/75 | Commas: 28/27, 55/54, 77/75 | ||
11-limit eigenmonzo subgroup: 2.7 | |||
[[POTE tuning|POTE generator]]: ~10/9 = 159.807 | [[POTE tuning|POTE generator]]: ~10/9 = 159.807 | ||
| Line 53: | Line 68: | ||
Badness: 0.0223 | Badness: 0.0223 | ||
==13-limit== | |||
Commas: 28/27, 40/39, 55/54, 66/65 | Commas: 28/27, 40/39, 55/54, 66/65 | ||
13-limit eigenmonzo subgroup: 2.7 | |||
15-limit eigenmonzo subgroup: 2.7 | |||
[[POTE tuning|POTE generator]]: ~10/9 = 158.805 | [[POTE tuning|POTE generator]]: ~10/9 = 158.805 | ||
| Line 62: | Line 80: | ||
Badness: 0.0194</pre></div> | Badness: 0.0194</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>Trienstonic clan</title></head><body>Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.<br /> | <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>Trienstonic clan</title></head><body><!-- ws:start:WikiTextTocRule:12:&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:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Father">Father</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Uncle">Uncle</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Octokaidecal">Octokaidecal</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Opossum">Opossum</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | ||
<!-- ws:end:WikiTextTocRule:19 --><br /> | |||
Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt; | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h1> | ||
Commas: 16/15, 28/27<br /> | Commas: 16/15, 28/27<br /> | ||
<br /> | <br /> | ||
7-limit minimax<br /> | 7-limit minimax<br /> | ||
[&lt;1 0 0 0|, &lt;3/2 0 -1/4 1/4|, &lt;5/2 0 1/4 -1/4|, &lt;5/2 0 -3/4 3/4|]<br /> | [&lt;1 0 0 0|, &lt;3/2 0 -1/4 1/4|, &lt;5/2 0 1/4 -1/4|, &lt;5/2 0 -3/4 3/4|]<br /> | ||
<a class="wiki_link" href="/Eigenmonzo%20subgroup">Eigenmonzo subgroup</a>: 2.7/5<br /> | |||
<br /> | <br /> | ||
9-limit | 9-limit eigenmonzo subgroup: 2.9/5<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br /> | ||
| Line 81: | Line 99: | ||
EDOs: 5, 8, 13, 21, 55, 76<br /> | EDOs: 5, 8, 13, 21, 55, 76<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt; | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Uncle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Uncle</h1> | ||
Commas: 28/27, 256/245<br /> | |||
<br /> | |||
7-limit eigenmonzo subgroup: 2.5/3<br /> | |||
9-limit eigenmonzo subgroup: 2.9/5<br /> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Octokaidecal"></a><!-- ws:end:WikiTextHeadingRule:4 -->Octokaidecal</h1> | |||
Commas: 28/27, 50/49<br /> | Commas: 28/27, 50/49<br /> | ||
<br /> | |||
7-limit eigenmonzo subgroup: 2.5<br /> | |||
9-limit eigenmonzo subgroup: 2.5<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 728.874<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 728.874<br /> | ||
| Line 90: | Line 118: | ||
EDOs: 10, 18, 28<br /> | EDOs: 10, 18, 28<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Opossum"></a><!-- ws:end:WikiTextHeadingRule:6 -->Opossum</h1> | ||
Commas: 28/27, 126/125<br /> | Commas: 28/27, 126/125<br /> | ||
<br /> | |||
7-limit eigenmonzo subgroup: 2.7<br /> | |||
9-limit eigenmonzo subgroup: 2.7<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.691<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.691<br /> | ||
| Line 100: | Line 131: | ||
Badness: 0.0407<br /> | Badness: 0.0407<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Opossum-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> | ||
Commas: 28/27, 55/54, 77/75<br /> | Commas: 28/27, 55/54, 77/75<br /> | ||
<br /> | |||
11-limit eigenmonzo subgroup: 2.7<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.807<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.807<br /> | ||
| Line 109: | Line 142: | ||
Badness: 0.0223<br /> | Badness: 0.0223<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Opossum-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> | ||
Commas: 28/27, 40/39, 55/54, 66/65<br /> | Commas: 28/27, 40/39, 55/54, 66/65<br /> | ||
<br /> | |||
13-limit eigenmonzo subgroup: 2.7<br /> | |||
15-limit eigenmonzo subgroup: 2.7<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 158.805<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 158.805<br /> | ||
Revision as of 19:35, 18 May 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-05-18 19:35:16 UTC.
- The original revision id was 229795855.
- 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]] Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith. =Father= Commas: 16/15, 28/27 7-limit minimax [<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|] [[Eigenmonzo subgroup]]: 2.7/5 9-limit eigenmonzo subgroup: 2.9/5 [[POTE tuning|POTE generator]]: 742.002 Map: [<1 0 4 -2|, <0 1 -1 3|] Wedgie: <<1 -1 3 -4 2 10|| EDOs: 5, 8, 13, 21, 55, 76 =Uncle= Commas: 28/27, 256/245 7-limit eigenmonzo subgroup: 2.5/3 9-limit eigenmonzo subgroup: 2.9/5 =Octokaidecal= Commas: 28/27, 50/49 7-limit eigenmonzo subgroup: 2.5 9-limit eigenmonzo subgroup: 2.5 [[POTE tuning|POTE generator]]: 728.874 Map: [<2 0 -5 -4|, <0 1 3 3|] Wedgie: <<2 6 6 5 4 -2|| EDOs: 10, 18, 28 =Opossum= Commas: 28/27, 126/125 7-limit eigenmonzo subgroup: 2.7 9-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 159.691 Map: [<1 2 3 4|, <0 -3 -5 -9|] Wedgie: <<3 5 9 1 6 7|| EDOs: 7, 8, 15 Badness: 0.0407 ==11-limit== Commas: 28/27, 55/54, 77/75 11-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 159.807 Map: [<1 2 3 4 4|, <0 -3 -5 -9 -4|] EDOs: 7, 8, 15 Badness: 0.0223 ==13-limit== Commas: 28/27, 40/39, 55/54, 66/65 13-limit eigenmonzo subgroup: 2.7 15-limit eigenmonzo subgroup: 2.7 [[POTE tuning|POTE generator]]: ~10/9 = 158.805 Map: [<1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|] EDOs: 7, 8, 15, 53, 68 Badness: 0.0194
Original HTML content:
<html><head><title>Trienstonic clan</title></head><body><!-- ws:start:WikiTextTocRule:12:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Father">Father</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Uncle">Uncle</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Octokaidecal">Octokaidecal</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Opossum">Opossum</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> <!-- ws:end:WikiTextTocRule:19 --><br /> Adding 16/15 to the trienstonic comma of 28/27 leads to father temperament, adding 256/245 gives uncle, adding 50/49 gives octokaidecal and adding 126/125 gives opossum. Other members of the clan discussed elsewhere are sharptone, sharp, and blacksmith.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Father"></a><!-- ws:end:WikiTextHeadingRule:0 -->Father</h1> Commas: 16/15, 28/27<br /> <br /> 7-limit minimax<br /> [<1 0 0 0|, <3/2 0 -1/4 1/4|, <5/2 0 1/4 -1/4|, <5/2 0 -3/4 3/4|]<br /> <a class="wiki_link" href="/Eigenmonzo%20subgroup">Eigenmonzo subgroup</a>: 2.7/5<br /> <br /> 9-limit eigenmonzo subgroup: 2.9/5<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 742.002<br /> <br /> Map: [<1 0 4 -2|, <0 1 -1 3|]<br /> Wedgie: <<1 -1 3 -4 2 10||<br /> EDOs: 5, 8, 13, 21, 55, 76<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Uncle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Uncle</h1> Commas: 28/27, 256/245<br /> <br /> 7-limit eigenmonzo subgroup: 2.5/3<br /> 9-limit eigenmonzo subgroup: 2.9/5<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Octokaidecal"></a><!-- ws:end:WikiTextHeadingRule:4 -->Octokaidecal</h1> Commas: 28/27, 50/49<br /> <br /> 7-limit eigenmonzo subgroup: 2.5<br /> 9-limit eigenmonzo subgroup: 2.5<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 728.874<br /> <br /> Map: [<2 0 -5 -4|, <0 1 3 3|]<br /> Wedgie: <<2 6 6 5 4 -2||<br /> EDOs: 10, 18, 28<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Opossum"></a><!-- ws:end:WikiTextHeadingRule:6 -->Opossum</h1> Commas: 28/27, 126/125<br /> <br /> 7-limit eigenmonzo subgroup: 2.7<br /> 9-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.691<br /> <br /> Map: [<1 2 3 4|, <0 -3 -5 -9|]<br /> Wedgie: <<3 5 9 1 6 7||<br /> EDOs: 7, 8, 15<br /> Badness: 0.0407<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Opossum-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2> Commas: 28/27, 55/54, 77/75<br /> <br /> 11-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 159.807<br /> <br /> Map: [<1 2 3 4 4|, <0 -3 -5 -9 -4|]<br /> EDOs: 7, 8, 15<br /> Badness: 0.0223<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="Opossum-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2> Commas: 28/27, 40/39, 55/54, 66/65<br /> <br /> 13-limit eigenmonzo subgroup: 2.7<br /> 15-limit eigenmonzo subgroup: 2.7<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 158.805<br /> <br /> Map: [<1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|]<br /> EDOs: 7, 8, 15, 53, 68<br /> Badness: 0.0194</body></html>