Mavila family: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 300786102 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 309698456 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-10 18:33:50 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>309698456</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 36: | Line 36: | ||
[[Wedgie]]: <<1 -3 -4 -7 -9 -1|| | [[Wedgie]]: <<1 -3 -4 -7 -9 -1|| | ||
EDOs: [[9edo|9]], [[16edo|16d]], [[25edo|25bd]] | EDOs: [[9edo|9]], [[16edo|16d]], [[25edo|25bd]] | ||
==11-limit== | |||
Commas: 21/20 33/32 45/44 | |||
POTE generator: ~3/2 = 672.644 | |||
Map: [<1 0 7 9 5|, <0 1 -3 -4 -1|] | |||
EDOs: 2, 9, 16d, 25bd | |||
Badness: 0.0228 | |||
---- | ---- | ||
=Armodue= | =Armodue= | ||
| Line 85: | Line 95: | ||
[[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3|Mavila]]</pre></div> | [[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3|Mavila]]</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>Pelogic 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>Pelogic family</title></head><body><!-- ws:start:WikiTextTocRule:24:&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:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#x5-limit Parent Temperament">5-limit Parent Temperament</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#Mavila">Mavila</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#x7-limit children">7-limit children</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Septimal Mavila">Septimal Mavila</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 1em;"><a href="#Pelogic">Pelogic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#Pelogic-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 1em;"><a href="#Armodue">Armodue</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#Armodue-11-limit Armodue">11-limit Armodue</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 1em;"><a href="#Hornbostel">Hornbostel</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 1em;"><a href="#Superpelog">Superpelog</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Bipelog">Bipelog</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 1em;"><a href="#Mavila Listening examples:">Mavila Listening examples:</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --></div> | ||
<!-- ws:end:WikiTextTocRule:37 -->The <em>pelogic family</em> tempers out <a class="wiki_link" href="/135_128">135/128</a>, the pelogic comma, also known as the major chroma or major limma. The <a class="wiki_link" href="/5-limit">5-limit</a> temperament is (5-limit) mavila, so named after the Chopi village where it was discovered. The generator for all of these is a very flat fifth, lying on the spectrum between 7-equal and 9-equal.<br /> | |||
<br /> | <br /> | ||
One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; Mavila has 2 large steps and 5 small steps. (see <a class="wiki_link" href="/2L%205s">2L 5s)</a><br /> | One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; Mavila has 2 large steps and 5 small steps. (see <a class="wiki_link" href="/2L%205s">2L 5s)</a><br /> | ||
| Line 126: | Line 137: | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;1 -3 -4 -7 -9 -1||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;1 -3 -4 -7 -9 -1||<br /> | ||
EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16d</a>, <a class="wiki_link" href="/25edo">25bd</a><br /> | EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16d</a>, <a class="wiki_link" href="/25edo">25bd</a><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Pelogic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit</h2> | |||
Commas: 21/20 33/32 45/44<br /> | |||
<br /> | |||
POTE generator: ~3/2 = 672.644<br /> | |||
<br /> | |||
Map: [&lt;1 0 7 9 5|, &lt;0 1 -3 -4 -1|]<br /> | |||
EDOs: 2, 9, 16d, 25bd<br /> | |||
Badness: 0.0228<br /> | |||
<br /> | |||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Armodue"></a><!-- ws:end:WikiTextHeadingRule:12 -->Armodue</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 36/35<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 36/35<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 673.997<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 673.997<br /> | ||
| Line 134: | Line 155: | ||
EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23p</a>, <a class="wiki_link" href="/25edo">25b</a>, <a class="wiki_link" href="/73edo">73</a><br /> | EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23p</a>, <a class="wiki_link" href="/25edo">25b</a>, <a class="wiki_link" href="/73edo">73</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Armodue-11-limit Armodue"></a><!-- ws:end:WikiTextHeadingRule:14 -->11-limit Armodue</h2> | ||
Commas: 33/32 36/35 45/44<br /> | Commas: 33/32 36/35 45/44<br /> | ||
POTE generator: ~3/2 = 673.807<br /> | POTE generator: ~3/2 = 673.807<br /> | ||
| Line 141: | Line 162: | ||
Badness: 0.0272<br /> | Badness: 0.0272<br /> | ||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hornbostel"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hornbostel</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 875/864<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 875/864<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 678.947<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 678.947<br /> | ||
| Line 148: | Line 169: | ||
EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23d</a>, <a class="wiki_link" href="/41edo">41d</a>, <a class="wiki_link" href="/57edo">57d</a><br /> | EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23d</a>, <a class="wiki_link" href="/41edo">41d</a>, <a class="wiki_link" href="/57edo">57d</a><br /> | ||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Superpelog"></a><!-- ws:end:WikiTextHeadingRule:18 -->Superpelog</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 49/48<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 49/48<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 259.952<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 259.952<br /> | ||
| Line 155: | Line 176: | ||
EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/14edo">14c</a>, <a class="wiki_link" href="/23edo">23d</a>, <a class="wiki_link" href="/37edo">37bcd</a>, <a class="wiki_link" href="/60edo">60bcd</a><br /> | EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/14edo">14c</a>, <a class="wiki_link" href="/23edo">23d</a>, <a class="wiki_link" href="/37edo">37bcd</a>, <a class="wiki_link" href="/60edo">60bcd</a><br /> | ||
<hr /> | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bipelog"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bipelog</h1> | ||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 50/49<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 50/49<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 681.195<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 681.195<br /> | ||
| Line 164: | Line 185: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Mavila Listening examples:"></a><!-- ws:end:WikiTextHeadingRule:22 -->Mavila Listening examples:</h1> | ||
<strong><a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a>:</strong><br /> | <strong><a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a>:</strong><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg" rel="nofollow">Mysterious Mush (spectrally mapped)</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg" rel="nofollow">Mysterious Mush (spectrally mapped)</a><br /> | ||