Kite's thoughts on pergens: Difference between revisions

Wikispaces>TallKite
**Imported revision 630821523 - Original comment: **
Wikispaces>TallKite
**Imported revision 630846777 - 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:TallKite|TallKite]] and made on <tt>2018-07-05 19:32:29 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2018-07-10 00:55:31 UTC</tt>.<br>
: The original revision id was <tt>630821523</tt>.<br>
: The original revision id was <tt>630846777</tt>.<br>
: The revision comment was: <tt></tt><br>
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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>
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||~ " ||~ 3 = P8/8 ||= P5 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||
||~ " ||~ 3 = P8/8 ||= P5 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||
||~  ||~  ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||
||~  ||~  ||~ 1 ||~ 2 ||~ 3 ||~ 4 ||~ 5 ||~ 6 ||~ 7 ||~ 8 ||~ 9 ||~ 10 ||~ 11 ||
Larger edos can have very awkward pergens. For example, 31edo with G = 14/31 is (P8, W&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;P4/12). It's much simpler to think of these rank-2 scales as generated by the mavila 5th = 17\31.
Larger edos can have very awkward pergens. For example, 31edo with G = 14/31 is (P8, W&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;P4/12). It's much simpler to think of the generator as the downfifth = 17\31, and the pergen as the pseudopergen (P8, v5).


__**EDO-pair names**__
__**EDO-pair names**__
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&lt;/table&gt;
&lt;/table&gt;


Larger edos can have very awkward pergens. For example, 31edo with G = 14/31 is (P8, W&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;P4/12). It's much simpler to think of these rank-2 scales as generated by the mavila 5th = 17\31.&lt;br /&gt;
Larger edos can have very awkward pergens. For example, 31edo with G = 14/31 is (P8, W&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;P4/12). It's much simpler to think of the generator as the downfifth = 17\31, and the pergen as the pseudopergen (P8, v5).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;EDO-pair names&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;EDO-pair names&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;