Mavila family: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 300783082 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 300784064 - 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:mbattaglia1|mbattaglia1]] and made on <tt>2012-02-11 13: | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-02-11 13:39:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>300784064</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 14: | Line 14: | ||
One of the most common temperaments talked about in the pelogic family is **mavila**, the 5-limit temperament eliminating 138/125, from which higher-limit extensions are derived. | One of the most common temperaments talked about in the pelogic family is **mavila**, the 5-limit temperament eliminating 138/125, from which higher-limit extensions are derived. | ||
=__5-limit Parent Temperament__= | |||
=Mavila= | |||
[[Comma]]s: 135/128 | |||
[[POTE tuning|POTE generator]]: 679.806 | |||
Map: [<1 0 7|, <0 1 -3|] | |||
EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23]], [[25edo|25b]], [[30edo|30bc]] | |||
===Mavila Listening examples:=== | ===Mavila Listening examples:=== | ||
| Line 25: | Line 32: | ||
**[[John Moriarty]]:** | **[[John Moriarty]]:** | ||
[[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3|Mavila]] | [[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3|Mavila]] | ||
---- | |||
=__**7-limit children**__= | =__**7-limit children**__= | ||
| Line 39: | Line 39: | ||
[[POTE tuning|POTE generator]]: 677.912 | [[POTE tuning|POTE generator]]: 677.912 | ||
Map: [<1 0 7 20|, <0 1 -3 -11|] | Map: [<1 0 7 20|, <0 1 -3 -11|] | ||
EDOs: [[ | EDOs: [[7edo|7]], [[16edo|16]], [[23edo|23d]] | ||
---- | |||
=Pelogic= | =Pelogic= | ||
| Line 49: | Line 51: | ||
EDOs: [[9edo|9]], [[16edo|16d]], [[25edo|25bd]] | EDOs: [[9edo|9]], [[16edo|16d]], [[25edo|25bd]] | ||
---- | |||
=Armodue= | =Armodue= | ||
| Line 56: | Line 59: | ||
[[Wedgie]]: <<11 -3 5 -7 5 20|| | [[Wedgie]]: <<11 -3 5 -7 5 20|| | ||
EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23p]], [[25edo|25b]], [[73edo|73]] | EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23p]], [[25edo|25b]], [[73edo|73]] | ||
==11-limit Armodue== | ==11-limit Armodue== | ||
Commas: 33/32 36/35 45/44 | Commas: 33/32 36/35 45/44 | ||
POTE generator: ~3/2 = 673.807 | POTE generator: ~3/2 = 673.807 | ||
Map: [<1 0 7 -5 5|, <0 1 -3 5 -1|] | Map: [<1 0 7 -5 5|, <0 1 -3 5 -1|] | ||
EDOs: 7, 9, 16, 41be, 57be | EDOs: 7, 9, 16, 23p, 25b, 41be, 57be | ||
Badness: 0.0272 | Badness: 0.0272 | ||
---- | |||
=Hornbostel= | =Hornbostel= | ||
[[Comma]]s: 135/128, 875/864 | [[Comma]]s: 135/128, 875/864 | ||
| Line 70: | Line 73: | ||
[[Wedgie]]: <<1 -3 12 -7 16 36|| | [[Wedgie]]: <<1 -3 12 -7 16 36|| | ||
EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23d]], [[41edo|41d]], [[57edo|57d]] | EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23d]], [[41edo|41d]], [[57edo|57d]] | ||
---- | |||
=Superpelog= | =Superpelog= | ||
[[Comma]]s: 135/128, 49/48 | [[Comma]]s: 135/128, 49/48 | ||
| Line 78: | Line 80: | ||
[[Wedgie]]: <<2 -6 1 -14 -4 19|| | [[Wedgie]]: <<2 -6 1 -14 -4 19|| | ||
EDOs: [[9edo|9]], [[14edo|14c]], [[23edo|23d]], [[37edo|37bcd]], [[60edo|60bcd]] | EDOs: [[9edo|9]], [[14edo|14c]], [[23edo|23d]], [[37edo|37bcd]], [[60edo|60bcd]] | ||
---- | |||
=Bipelog= | =Bipelog= | ||
[[Comma]]s: 135/128, 50/49 | [[Comma]]s: 135/128, 50/49 | ||
| Line 87: | Line 88: | ||
EDOs: [[14edo|14c]], [[16edo|16]], [[23edo|23d]], [[37edo|37bcd]]</pre></div> | EDOs: [[14edo|14c]], [[16edo|16]], [[23edo|23d]], [[37edo|37bcd]]</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:22:&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:22 --><!-- ws:start:WikiTextTocRule:23: --><a href="#x5-limit Parent Temperament">5-limit Parent Temperament</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Mavila">Mavila</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#x7-limit children">7-limit children</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --> | <a href="#Septimal Mavila">Septimal Mavila</a><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | <a href="#Pelogic">Pelogic</a><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --> | <a href="#Armodue">Armodue</a><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --> | <a href="#Hornbostel">Hornbostel</a><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --> | <a href="#Superpelog">Superpelog</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Bipelog">Bipelog</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:34 -->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 96: | Line 97: | ||
One of the most common temperaments talked about in the pelogic family is <strong>mavila</strong>, the 5-limit temperament eliminating 138/125, from which higher-limit extensions are derived.<br /> | One of the most common temperaments talked about in the pelogic family is <strong>mavila</strong>, the 5-limit temperament eliminating 138/125, from which higher-limit extensions are derived.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id=" | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x5-limit Parent Temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><u>5-limit Parent Temperament</u></h1> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:2 -->Mavila</h1> | |||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 679.806<br /> | |||
Map: [&lt;1 0 7|, &lt;0 1 -3|]<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">23</a>, <a class="wiki_link" href="/25edo">25b</a>, <a class="wiki_link" href="/30edo">30bc</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="Mavila--Mavila Listening examples:"></a><!-- ws:end:WikiTextHeadingRule:4 -->Mavila Listening examples:</h3> | |||
<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 /> | ||
| Line 106: | Line 114: | ||
<strong><a class="wiki_link" href="/John%20Moriarty">John Moriarty</a>:</strong><br /> | <strong><a class="wiki_link" href="/John%20Moriarty">John Moriarty</a>:</strong><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3" rel="nofollow">Mavila</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3" rel="nofollow">Mavila</a><br /> | ||
<hr /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="x7-limit children"></a><!-- ws:end:WikiTextHeadingRule:6 --><u><strong>7-limit children</strong></u></h1> | |||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Septimal Mavila"></a><!-- ws:end:WikiTextHeadingRule:8 -->Septimal Mavila</h1> | ||
<!-- ws:start:WikiTextHeadingRule: | |||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 126/125<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 126/125<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 677.912<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 677.912<br /> | ||
Map: [&lt;1 0 7 20|, &lt;0 1 -3 -11|]<br /> | Map: [&lt;1 0 7 20|, &lt;0 1 -3 -11|]<br /> | ||
EDOs: <a class="wiki_link" href="/ | EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23d</a><br /> | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <hr /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Pelogic"></a><!-- ws:end:WikiTextHeadingRule:10 -->Pelogic</h1> | |||
<a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 21/20<br /> | <a class="wiki_link" href="/Comma">Comma</a>s: 135/128, 21/20<br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 672.853<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 672.853<br /> | ||
| Line 130: | Line 133: | ||
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 /> | <br /> | ||
<hr /> | |||
<br /> | <br /> | ||
<!-- 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 137: | Line 141: | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;11 -3 5 -7 5 20||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;11 -3 5 -7 5 20||<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 /> | 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 /> | ||
<!-- ws:start:WikiTextHeadingRule: | <br /> | ||
<!-- 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 /> | ||
Map: [&lt;1 0 7 -5 5|, &lt;0 1 -3 5 -1|]<br /> | Map: [&lt;1 0 7 -5 5|, &lt;0 1 -3 5 -1|]<br /> | ||
EDOs: 7, 9, 16, 41be, 57be<br /> | EDOs: 7, 9, 16, 23p, 25b, 41be, 57be<br /> | ||
Badness: 0.0272<br /> | Badness: 0.0272<br /> | ||
< | <hr /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hornbostel"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hornbostel</h1> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
<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 151: | Line 155: | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;1 -3 12 -7 16 36||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;1 -3 12 -7 16 36||<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 /> | 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 /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Superpelog"></a><!-- ws:end:WikiTextHeadingRule:18 -->Superpelog</h1> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
<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 159: | Line 162: | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 -6 1 -14 -4 19||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 -6 1 -14 -4 19||<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 /> | 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 /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bipelog"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bipelog</h1> | |||
<!-- ws:start:WikiTextHeadingRule: | |||
<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 /> | ||