Gamelismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 209884856 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 209943040 - 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>2011-03- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-13 00:02:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>209943040</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
| Line 361: | Line 361: | ||
By [[Herman Miller]] | By [[Herman Miller]] | ||
[[file:02_HermanMiller_LembaGalatsia.mp3]] | [[file:02_HermanMiller_LembaGalatsia.mp3]] | ||
http://sites.google.com/site/teamouse/</pre></div> | http://sites.google.com/site/teamouse/ | ||
=Gidorah= | |||
Commas: 21/20, 144/125 | |||
POTE generator: ~8/7 = 230.762 | |||
Map: [<1 1 2 3|, <0 3 2 -1|] | |||
EDOs: 5, 11, 21, 26 | |||
Badness: 0.0623</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>Gamelismic clan</title></head><body>The [2,3,5]-<a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&gt;. For any member of the clan, and for the gamelismic temperament itself, this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. <a class="wiki_link" href="/36edo">36edo</a> is a good tuning for gamelismic itself, though if the full 7-limit is desired, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/77edo">77edo</a> or <a class="wiki_link" href="/118edo">118edo</a> might be preferred. <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>Gamelismic clan</title></head><body>The [2,3,5]-<a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&gt;. For any member of the clan, and for the gamelismic temperament itself, this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. <a class="wiki_link" href="/36edo">36edo</a> is a good tuning for gamelismic itself, though if the full 7-limit is desired, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/77edo">77edo</a> or <a class="wiki_link" href="/118edo">118edo</a> might be preferred. <br /> | ||
| Line 388: | Line 397: | ||
To the gamelisma itself we need to add the comma which appears next on the modified <a class="wiki_link" href="/Normal%20lists">normal comma list</a>, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.<br /> | To the gamelisma itself we need to add the comma which appears next on the modified <a class="wiki_link" href="/Normal%20lists">normal comma list</a>, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule: | <!-- ws:start:WikiTextTocRule:70:&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:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Miracle">Miracle</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- 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: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Rodan">Rodan</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- 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="#Valentine">Valentine</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Unidec">Unidec</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Hemithirds">Hemithirds</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Tritikleismic">Tritikleismic</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Superkleismic">Superkleismic</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Gorgo">Gorgo</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Lemba">Lemba</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Gidorah">Gidorah</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:106 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Miracle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Miracle</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Miracle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Miracle</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224<br /> | ||
| Line 455: | Line 464: | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Miracle-Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Miracle-Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h2> | ||
By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:516:http://notonlymusic.com/board/download/file.php?id=423 --><a class="wiki_link_ext" href="http://notonlymusic.com/board/download/file.php?id=423" rel="nofollow">http://notonlymusic.com/board/download/file.php?id=423</a><!-- ws:end:WikiTextUrlRule:516 --> <br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:517:http://notonlymusic.com/board/download/file.php?id=424 --><a class="wiki_link_ext" href="http://notonlymusic.com/board/download/file.php?id=424" rel="nofollow">http://notonlymusic.com/board/download/file.php?id=424</a><!-- ws:end:WikiTextUrlRule:517 --><br /> | ||
By <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | By <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:518:http://www.archive.org/details/RachmaninoffPlaysBlackjack --><a class="wiki_link_ext" href="http://www.archive.org/details/RachmaninoffPlaysBlackjack" rel="nofollow">http://www.archive.org/details/RachmaninoffPlaysBlackjack</a><!-- ws:end:WikiTextUrlRule:518 --><br /> | ||
By <a class="wiki_link" href="/Joseph%20Pehrson">Joseph Pehrson</a><br /> | By <a class="wiki_link" href="/Joseph%20Pehrson">Joseph Pehrson</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:519:http://www.youtube.com/watch?v=NFvcpgk7Z_k --><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=NFvcpgk7Z_k" rel="nofollow">http://www.youtube.com/watch?v=NFvcpgk7Z_k</a><!-- ws:end:WikiTextUrlRule:519 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:520:http://www.youtube.com/watch?v=-tWGoWS-J6k --><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=-tWGoWS-J6k" rel="nofollow">http://www.youtube.com/watch?v=-tWGoWS-J6k</a><!-- ws:end:WikiTextUrlRule:520 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Rodan"></a><!-- ws:end:WikiTextHeadingRule:14 -->Rodan</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Rodan"></a><!-- ws:end:WikiTextHeadingRule:14 -->Rodan</h1> | ||
| Line 511: | Line 520: | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Rodan-13-limit-Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h3> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Rodan-13-limit-Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h3> | ||
By Gene Ward Smith<br /> | By Gene Ward Smith<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:521:http://www.archive.org/details/Pianodactyl --><a class="wiki_link_ext" href="http://www.archive.org/details/Pianodactyl" rel="nofollow">http://www.archive.org/details/Pianodactyl</a><!-- ws:end:WikiTextUrlRule:521 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Rodan-Superduper"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superduper</h2> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Rodan-Superduper"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superduper</h2> | ||
| Line 704: | Line 713: | ||
<!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Gorgo-Music"></a><!-- ws:end:WikiTextHeadingRule:62 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Gorgo-Music"></a><!-- ws:end:WikiTextHeadingRule:62 -->Music</h2> | ||
By Herman Miller<br /> | By Herman Miller<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:522:http://sites.google.com/site/teamouse/ --><a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow">http://sites.google.com/site/teamouse/</a><!-- ws:end:WikiTextUrlRule:522 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:64:&lt;h1&gt; --><h1 id="toc32"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:64 -->Lemba</h1> | <!-- ws:start:WikiTextHeadingRule:64:&lt;h1&gt; --><h1 id="toc32"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:64 -->Lemba</h1> | ||
| Line 717: | Line 726: | ||
<!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Lemba-Music"></a><!-- ws:end:WikiTextHeadingRule:66 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Lemba-Music"></a><!-- ws:end:WikiTextHeadingRule:66 -->Music</h2> | ||
By <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a><br /> | By <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a><br /> | ||
<!-- ws:start:WikiTextFileRule: | <!-- ws:start:WikiTextFileRule:107:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/02_HermanMiller_LembaGalatsia.mp3?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@02_HermanMiller_LembaGalatsia.mp3&quot; title=&quot;File: 02_HermanMiller_LembaGalatsia.mp3&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="02_HermanMiller_LembaGalatsia.mp3" /></a><div><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');" class="filename" title="02_HermanMiller_LembaGalatsia.mp3">02_HermanMiller_LembaGalatsia.mp3</a><br /><ul><li><a href="/file/detail/02_HermanMiller_LembaGalatsia.mp3">Details</a></li><li><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:107 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:523:http://sites.google.com/site/teamouse/ --><a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow">http://sites.google.com/site/teamouse/</a><!-- ws:end:WikiTextUrlRule:523 --><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Gidorah"></a><!-- ws:end:WikiTextHeadingRule:68 -->Gidorah</h1> | |||
Commas: 21/20, 144/125<br /> | |||
<br /> | |||
POTE generator: ~8/7 = 230.762<br /> | |||
<br /> | |||
Map: [&lt;1 1 2 3|, &lt;0 3 2 -1|]<br /> | |||
EDOs: 5, 11, 21, 26<br /> | |||
Badness: 0.0623</body></html></pre></div> | |||