Dicot family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2010-06-~~11 21~~:04:34 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-29 10:58:40 UTC</tt>.<br>

: The original revision id was <tt>~~148455089~~</tt>.<br>

: The original revision id was <tt>190198000</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>

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==Seven limit children==

The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Septimal dicot, with wedgie <<2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie <<2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie <<4 2 2 -6 -8 -1|| adds 49/48, ~~and~~ sidi with wedgie <<4 2 9 -3 6 15|| adds 245/243. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth.

The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Septimal dicot, with wedgie <<2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie <<2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie <<4 2 2 -6 -8 -1|| adds 49/48, sidi with wedgie <<4 2 9 -3 6 15|| adds 245/243, and jamesbond with wedgie <<0 0 7 0 11 16|| adds 81/80. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth. Jamesbond has a period of 1/7 octave, and uses an approximate 15/14 as generator.

===Septimal dicot===

Commas: 15/14, 25/24

[[POTE tuning|POTE generator]]: 336.381

Map: [<1 1 2 3|, <0 2 1 3|]

EDOs: 4, 7, 25

===Sharp===

Commas: 25/24, 28/27

[[POTE tuning|POTE generator]]: 357.938

Map: [<1 1 2 1|, <0 2 1 6|]

EDOs: 7, 10, 57

===Decimal===

Commas: 25/24, 49/48

[[POTE tuning|POTE generator]]: 251.557

Map: [<2 0 3 4|, <0 2 1 1|]

EDOs: 4, 10, 14, 24, 62

===Jamesbond===

Commas: 25/24, 81/80

[[POTE tuning|POTE generator]]: 86.710

Map: [<7 11 16 20|, <0 0 0 -1|]

EDOs: 7, 14, 595, 609

===Sidi===

Commas: 25/24, 245/243

[[POTE tuning|POTE generator]]: 427.208

Map: [<1 3 3 6|, <0 -4 -2 -9|]

EDOs: 14, 59

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<br />

<h2 id="toc0"><a name="x-Seven limit children"></a>Seven limit children</h2>

The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &lt;&lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &lt;&lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &lt;&lt;4 2 2 -6 -8 -1|| adds 49/48, ~~and~~ sidi with wedgie &lt;&lt;4 2 9 -3 6 15|| adds 245/243. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth.</body></html></pre></div>

The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &lt;&lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &lt;&lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &lt;&lt;4 2 2 -6 -8 -1|| adds 49/48, sidi with wedgie &lt;&lt;4 2 9 -3 6 15|| adds 245/243, and jamesbond with wedgie &lt;&lt;0 0 7 0 11 16|| adds 81/80. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth. Jamesbond has a period of 1/7 octave, and uses an approximate 15/14 as generator.<br />

<br />

<h3 id="toc1"><a name="x-Seven limit children-Septimal dicot"></a>Septimal dicot</h3>

Commas: 15/14, 25/24<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 336.381<br />

<br />

Map: [&lt;1 1 2 3|, &lt;0 2 1 3|]<br />

EDOs: 4, 7, 25<br />

<br />

<h3 id="toc2"><a name="x-Seven limit children-Sharp"></a>Sharp</h3>

Commas: 25/24, 28/27<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 357.938<br />

<br />

Map: [&lt;1 1 2 1|, &lt;0 2 1 6|]<br />

EDOs: 7, 10, 57<br />

<br />

<h3 id="toc3"><a name="x-Seven limit children-Decimal"></a>Decimal</h3>

Commas: 25/24, 49/48<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 251.557<br />

<br />

Map: [&lt;2 0 3 4|, &lt;0 2 1 1|]<br />

EDOs: 4, 10, 14, 24, 62<br />

<br />

<h3 id="toc4"><a name="x-Seven limit children-Jamesbond"></a>Jamesbond</h3>

Commas: 25/24, 81/80<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 86.710<br />

<br />

Map: [&lt;7 11 16 20|, &lt;0 0 0 -1|]<br />

EDOs: 7, 14, 595, 609<br />

<br />

<h3 id="toc5"><a name="x-Seven limit children-Sidi"></a>Sidi</h3>

Commas: 25/24, 245/243<br />

<br />

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 427.208<br />

<br />

Map: [&lt;1 3 3 6|, &lt;0 -4 -2 -9|]<br />

EDOs: 14, 59</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-06-11 21:04:34 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-29 10:58:40 UTC</tt>.<br>
-: The original revision id was <tt>148455089</tt>.<br>
+: The original revision id was <tt>190198000</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>
@@ Line 9: / Line 9: @@
 ==Seven limit children==
-The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &lt;&lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &lt;&lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &lt;&lt;4 2 2 -6 -8 -1|| adds 49/48, and sidi with wedgie &lt;&lt;4 2 9 -3 6 15|| adds 245/243. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth.
+The second comma of the [[Normal lists|normal comma list]] defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &lt;&lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &lt;&lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &lt;&lt;4 2 2 -6 -8 -1|| adds 49/48, sidi with wedgie &lt;&lt;4 2 9 -3 6 15|| adds 245/243, and jamesbond with wedgie &lt;&lt;0 0 7 0 11 16|| adds 81/80. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth. Jamesbond has a period of 1/7 octave, and uses an approximate 15/14 as generator.
+===Septimal dicot===
+Commas: 15/14, 25/24
+[[POTE tuning|POTE generator]]: 336.381
+Map: [&lt;1 1 2 3|, &lt;0 2 1 3|]
+EDOs: 4, 7, 25
+===Sharp===
+Commas: 25/24, 28/27
+[[POTE tuning|POTE generator]]: 357.938
+Map: [&lt;1 1 2 1|, &lt;0 2 1 6|]
+EDOs: 7, 10, 57
+===Decimal===
+Commas: 25/24, 49/48
+[[POTE tuning|POTE generator]]: 251.557
+Map: [&lt;2 0 3 4|, &lt;0 2 1 1|]
+EDOs: 4, 10, 14, 24, 62
+===Jamesbond===
+Commas: 25/24, 81/80
+[[POTE tuning|POTE generator]]: 86.710
+Map: [&lt;7 11 16 20|, &lt;0 0 0 -1|]
+EDOs: 7, 14, 595, 609
+===Sidi===
+Commas: 25/24, 245/243
+[[POTE tuning|POTE generator]]: 427.208
+Map: [&lt;1 3 3 6|, &lt;0 -4 -2 -9|]
+EDOs: 14, 59
@@ Line 17: / Line 59: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Seven limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Seven limit children&lt;/h2&gt;
-The second comma of the &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &amp;lt;&amp;lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &amp;lt;&amp;lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &amp;lt;&amp;lt;4 2 2 -6 -8 -1|| adds 49/48, and sidi with wedgie &amp;lt;&amp;lt;4 2 9 -3 6 15|| adds 245/243. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth.&lt;/body&gt;&lt;/html&gt;</pre></div>
+The second comma of the &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; defines which 7-limit family member we are looking at. Septimal dicot, with wedgie &amp;lt;&amp;lt;2 1 3 -3 -1 4|| adds 36/35, sharp with wedgie &amp;lt;&amp;lt;2 1 6 -3 4 11|| adds 28/27, both retaining the same period and generator. Decimal with wedgie &amp;lt;&amp;lt;4 2 2 -6 -8 -1|| adds 49/48, sidi with wedgie &amp;lt;&amp;lt;4 2 9 -3 6 15|| adds 245/243, and jamesbond with wedgie &amp;lt;&amp;lt;0 0 7 0 11 16|| adds 81/80. Here decimal divides the period to 1/2 octave, and sidi uses 9/7 as a generator, with two of them making up the combined 5/3 and 8/5 neutral sixth. Jamesbond has a period of 1/7 octave, and uses an approximate 15/14 as generator.&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Seven limit children-Septimal dicot"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Septimal dicot&lt;/h3&gt;
+Commas: 15/14, 25/24&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 336.381&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 1 2 3|, &amp;lt;0 2 1 3|]&lt;br /&gt;
+EDOs: 4, 7, 25&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Seven limit children-Sharp"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Sharp&lt;/h3&gt;
+Commas: 25/24, 28/27&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 357.938&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 1 2 1|, &amp;lt;0 2 1 6|]&lt;br /&gt;
+EDOs: 7, 10, 57&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Seven limit children-Decimal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Decimal&lt;/h3&gt;
+Commas: 25/24, 49/48&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 251.557&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;2 0 3 4|, &amp;lt;0 2 1 1|]&lt;br /&gt;
+EDOs: 4, 10, 14, 24, 62&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Seven limit children-Jamesbond"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Jamesbond&lt;/h3&gt;
+Commas: 25/24, 81/80&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 86.710&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;7 11 16 20|, &amp;lt;0 0 0 -1|]&lt;br /&gt;
+EDOs: 7, 14, 595, 609&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Seven limit children-Sidi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Sidi&lt;/h3&gt;
+Commas: 25/24, 245/243&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: 427.208&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 3 3 6|, &amp;lt;0 -4 -2 -9|]&lt;br /&gt;
+EDOs: 14, 59&lt;/body&gt;&lt;/html&gt;</pre></div>