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Wikispaces>Natebedell **Imported revision 250905368 - 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:Natebedell|Natebedell]] and made on <tt>2011-09-05 14:53:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>250905368</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|flat]] | <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]] | ||
The //pelogic family// tempers out [[135_128|135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] 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. | |||
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. | |||
Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different Mavila MOS scales to choose from that are not decidedly chromatic in nature; (5, 7, and 9 note scales) This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament. | |||
=Mavila= | =Mavila= | ||
| Line 32: | Line 35: | ||
EDOs: [[16edo|16]], [[23edo|23d]] | EDOs: [[16edo|16]], [[23edo|23d]] | ||
=Pelogic= | =Pelogic= | ||
[[Comma]]s: 135/128, 21/20 | [[Comma]]s: 135/128, 21/20 | ||
[[POTE tuning|POTE generator]]: 672.853 | [[POTE tuning|POTE generator]]: 672.853 | ||
| Line 39: | Line 42: | ||
EDOs: [[9edo|9]], [[11edo|11]] | EDOs: [[9edo|9]], [[11edo|11]] | ||
=Armodue= | =Armodue= | ||
[[Comma]]s: 135/128, 36/35 | [[Comma]]s: 135/128, 36/35 | ||
[[POTE tuning|POTE generator]]: 673.997 | [[POTE tuning|POTE generator]]: 673.997 | ||
| Line 46: | Line 49: | ||
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]] | ||
=Hornbostel= | =Hornbostel= | ||
[[Comma]]s: 135/128, 875/864 | [[Comma]]s: 135/128, 875/864 | ||
[[POTE tuning|POTE generator]]: 678.947 | [[POTE tuning|POTE generator]]: 678.947 | ||
| Line 53: | Line 56: | ||
EDOs: [[7edo|7]], [[23edo|23d]], [[30edo|30bc]] | EDOs: [[7edo|7]], [[23edo|23d]], [[30edo|30bc]] | ||
=Superpelog= | =Superpelog= | ||
[[Comma]]s: 135/128, 49/48 | [[Comma]]s: 135/128, 49/48 | ||
[[POTE tuning|POTE generator]]: 259.952 | [[POTE tuning|POTE generator]]: 259.952 | ||
| Line 60: | Line 63: | ||
EDOs: [[5edo|5]], [[9edo|9]], [[14edo|14]], [[23edo|23]], [[37edo|37]], [[60edo|60]] | EDOs: [[5edo|5]], [[9edo|9]], [[14edo|14]], [[23edo|23]], [[37edo|37]], [[60edo|60]] | ||
=Bipelog= | =Bipelog= | ||
[[Comma]]s: 135/128, 50/49 | [[Comma]]s: 135/128, 50/49 | ||
[[POTE tuning|POTE generator]]: 681.195 | [[POTE tuning|POTE generator]]: 681.195 | ||
Map: [<2 0 14 15|, <0 1 -3 -3|] | Map: [<2 0 14 15|, <0 1 -3 -3|] | ||
[[Wedgie]]: <<2 -6 -6 -14 -15 3|| | [[Wedgie]]: <<2 -6 -6 -14 -15 3|| | ||
EDOs: [[14edo|14]], [[16edo|16]], [[30edo|30]], [[44edo|44]], [[74edo|74]] | EDOs: [[14edo|14]], [[16edo|16]], [[30edo|30]], [[44edo|44]], [[74edo|74]]</pre></div> | ||
</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:14:&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:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#Mavila">Mavila</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Septimal Mavila">Septimal Mavila</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Pelogic">Pelogic</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Armodue">Armodue</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Hornbostel">Hornbostel</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Superpelog">Superpelog</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Bipelog">Bipelog</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <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:14:&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:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#Mavila">Mavila</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Septimal Mavila">Septimal Mavila</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Pelogic">Pelogic</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Armodue">Armodue</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Hornbostel">Hornbostel</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Superpelog">Superpelog</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Bipelog">Bipelog</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | ||
<!-- ws:end:WikiTextTocRule:22 --> | <!-- ws:end:WikiTextTocRule:22 -->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 /> | ||
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 /> | ||
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. <br /> | |||
<br /> | |||
Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different Mavila MOS scales to choose from that are not decidedly chromatic in nature; (5, 7, and 9 note scales) This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mavila</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mavila</h1> | ||
| Line 95: | Line 100: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pelogic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pelogic</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Pelogic"></a><!-- ws:end:WikiTextHeadingRule:4 -->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 /> | ||
Map: [&lt;1 0 7 9|, &lt;0 1 -3 -4|]<br /> | Map: [&lt;1 0 7 9|, &lt;0 1 -3 -4|]<br /> | ||
| Line 102: | Line 107: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Armodue"></a><!-- ws:end:WikiTextHeadingRule:6 -->Armodue</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Armodue"></a><!-- ws:end:WikiTextHeadingRule:6 -->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 /> | ||
Map: [&lt;1 0 7 -5], &lt;0 1 -3 5|]<br /> | Map: [&lt;1 0 7 -5], &lt;0 1 -3 5|]<br /> | ||
| Line 109: | Line 114: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Hornbostel"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hornbostel</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Hornbostel"></a><!-- ws:end:WikiTextHeadingRule:8 -->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 /> | ||
Map: [&lt;1 0 7 -16], &lt;0 1 -3 12|]<br /> | Map: [&lt;1 0 7 -16], &lt;0 1 -3 12|]<br /> | ||
| Line 116: | Line 121: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Superpelog"></a><!-- ws:end:WikiTextHeadingRule:10 -->Superpelog</h1> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Superpelog"></a><!-- ws:end:WikiTextHeadingRule:10 -->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 /> | ||
Map: [&lt;1 0 7 2|, &lt;0 2 -6 1|]<br /> | Map: [&lt;1 0 7 2|, &lt;0 2 -6 1|]<br /> | ||
| Line 123: | Line 128: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Bipelog"></a><!-- ws:end:WikiTextHeadingRule:12 -->Bipelog</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Bipelog"></a><!-- ws:end:WikiTextHeadingRule:12 -->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 /> | ||
Map: [&lt;2 0 14 15|, &lt;0 1 -3 -3|]<br /> | Map: [&lt;2 0 14 15|, &lt;0 1 -3 -3|]<br /> | ||
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 -6 -6 -14 -15 3||<br /> | <a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;2 -6 -6 -14 -15 3||<br /> | ||
EDOs: <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/30edo">30</a>, <a class="wiki_link" href="/44edo">44</a>, <a class="wiki_link" href="/74edo">74</a></body></html></pre></div> | EDOs: <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/30edo">30</a>, <a class="wiki_link" href="/44edo">44</a>, <a class="wiki_link" href="/74edo">74</a></body></html></pre></div> | ||
Revision as of 14:53, 5 September 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 Natebedell and made on 2011-09-05 14:53:52 UTC.
- The original revision id was 250905368.
- 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]] The //pelogic family// tempers out [[135_128|135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] 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. 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. Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different Mavila MOS scales to choose from that are not decidedly chromatic in nature; (5, 7, and 9 note scales) This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal 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]], [[125edo|25b]], [[30edo|30b]] [[Gene Ward Smith]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg|Mysterious Mush (spectrally mapped)]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mush.ogg|Mysterious Mush (unmapped)]] [[Mike Battaglia]] [[http://soundcloud.com/mikebattagliamusic/sets/the-mavila-experiments|The Mavila Experiments]] [[John Moriarty]] [[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3|Mavila]] =Septimal Mavila= [[Comma]]s: 135/128, 126/125 [[POTE tuning|POTE generator]]: 677.912 Map: [<1 0 7 20], <0 1 -3 -11|] EDOs: [[16edo|16]], [[23edo|23d]] =Pelogic= [[Comma]]s: 135/128, 21/20 [[POTE tuning|POTE generator]]: 672.853 Map: [<1 0 7 9|, <0 1 -3 -4|] [[Wedgie]]: <<1 -3 -4 -7 -9 -1|| EDOs: [[9edo|9]], [[11edo|11]] =Armodue= [[Comma]]s: 135/128, 36/35 [[POTE tuning|POTE generator]]: 673.997 Map: [<1 0 7 -5], <0 1 -3 5|] [[Wedgie]]: <<11 -3 5 -7 5 20|| EDOs: [[7edo|7]], [[9edo|9]], [[16edo|16]], [[23edo|23p]], [[25edo|25b]], [[73edo|73]] =Hornbostel= [[Comma]]s: 135/128, 875/864 [[POTE tuning|POTE generator]]: 678.947 Map: [<1 0 7 -16], <0 1 -3 12|] [[Wedgie]]: <<1 -3 12 -7 16 36|| EDOs: [[7edo|7]], [[23edo|23d]], [[30edo|30bc]] =Superpelog= [[Comma]]s: 135/128, 49/48 [[POTE tuning|POTE generator]]: 259.952 Map: [<1 0 7 2|, <0 2 -6 1|] [[Wedgie]]: <<2 -6 1 -14 -4 19|| EDOs: [[5edo|5]], [[9edo|9]], [[14edo|14]], [[23edo|23]], [[37edo|37]], [[60edo|60]] =Bipelog= [[Comma]]s: 135/128, 50/49 [[POTE tuning|POTE generator]]: 681.195 Map: [<2 0 14 15|, <0 1 -3 -3|] [[Wedgie]]: <<2 -6 -6 -14 -15 3|| EDOs: [[14edo|14]], [[16edo|16]], [[30edo|30]], [[44edo|44]], [[74edo|74]]
Original HTML content:
<html><head><title>Pelogic family</title></head><body><!-- ws:start:WikiTextTocRule:14:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><a href="#Mavila">Mavila</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Septimal Mavila">Septimal Mavila</a><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --> | <a href="#Pelogic">Pelogic</a><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --> | <a href="#Armodue">Armodue</a><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --> | <a href="#Hornbostel">Hornbostel</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Superpelog">Superpelog</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --> | <a href="#Bipelog">Bipelog</a><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> <!-- ws:end:WikiTextTocRule:22 -->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 /> 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. <br /> <br /> Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different Mavila MOS scales to choose from that are not decidedly chromatic in nature; (5, 7, and 9 note scales) This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:0 -->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: [[1 0 7], [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="/125edo">25b</a>, <a class="wiki_link" href="/30edo">30b</a><br /> <br /> <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</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 /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mush.ogg" rel="nofollow">Mysterious Mush (unmapped)</a><br /> <br /> <a class="wiki_link" href="/Mike%20Battaglia">Mike Battaglia</a><br /> <a class="wiki_link_ext" href="http://soundcloud.com/mikebattagliamusic/sets/the-mavila-experiments" rel="nofollow">The Mavila Experiments</a><br /> <br /> <a class="wiki_link" href="/John%20Moriarty">John Moriarty</a><br /> <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3" rel="nofollow">Mavila</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Septimal Mavila"></a><!-- ws:end:WikiTextHeadingRule:2 -->Septimal Mavila</h1> <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 /> Map: [<1 0 7 20], <0 1 -3 -11|]<br /> EDOs: <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/23edo">23d</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Pelogic"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pelogic</h1> <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 /> Map: [<1 0 7 9|, <0 1 -3 -4|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<1 -3 -4 -7 -9 -1||<br /> EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/11edo">11</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Armodue"></a><!-- ws:end:WikiTextHeadingRule:6 -->Armodue</h1> <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 /> Map: [<1 0 7 -5], <0 1 -3 5|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Hornbostel"></a><!-- ws:end:WikiTextHeadingRule:8 -->Hornbostel</h1> <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 /> Map: [<1 0 7 -16], <0 1 -3 12|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<1 -3 12 -7 16 36||<br /> EDOs: <a class="wiki_link" href="/7edo">7</a>, <a class="wiki_link" href="/23edo">23d</a>, <a class="wiki_link" href="/30edo">30bc</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Superpelog"></a><!-- ws:end:WikiTextHeadingRule:10 -->Superpelog</h1> <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 /> Map: [<1 0 7 2|, <0 2 -6 1|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<2 -6 1 -14 -4 19||<br /> EDOs: <a class="wiki_link" href="/5edo">5</a>, <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/23edo">23</a>, <a class="wiki_link" href="/37edo">37</a>, <a class="wiki_link" href="/60edo">60</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="Bipelog"></a><!-- ws:end:WikiTextHeadingRule:12 -->Bipelog</h1> <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 /> Map: [<2 0 14 15|, <0 1 -3 -3|]<br /> <a class="wiki_link" href="/Wedgie">Wedgie</a>: <<2 -6 -6 -14 -15 3||<br /> EDOs: <a class="wiki_link" href="/14edo">14</a>, <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/30edo">30</a>, <a class="wiki_link" href="/44edo">44</a>, <a class="wiki_link" href="/74edo">74</a></body></html>