25edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 489081348 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 545566968 - 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:genewardsmith|genewardsmith]] and made on <tt>2014-02-12 13:18:00 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-27 11:45:39 UTC</tt>.<br>
: The original revision id was <tt>489081348</tt>.<br>
: The original revision id was <tt>545566968</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>
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Notation ||
Notation ||
|| 0 || 0 ||= 1/1 ||= 1 ||
|| 0 || 0 ||= 1/1 ||= 1 ||
|| 1 || 48 ||= 33/32, 39/38, 34/33 ||= 1# ||
|| 1 || 48
|| 2 || 96 ||= 17/16, 20/19, 18/17 ||= 2b ||
14°24' ||= 33/32, 39/38, 34/33 ||= 1# ||
|| 3 || 144 ||= 12/11, 38/35 ||= 2 ||
|| 2 || 96
|| 4 || 192 ||= 9/8, 10/9, 19/17 ||= 2# ||
28°48' ||= 17/16, 20/19, 18/17 ||= 2b ||
|| 5· || 240 ||= 8/7 ||= 3b ||
|| 3 || 144
|| 6 || 288 ||= 19/16, 20/17 ||= 3 ||
43°12' ||= 12/11, 38/35 ||= 2 ||
|| 4 || 192
57°36' ||= 9/8, 10/9, 19/17 ||= 2# ||
|| 5· || 240
72° ||= 8/7 ||= 3b ||
|| 6 || 288
86°24' ||= 19/16, 20/17 ||= 3 ||
|| 7 || 336 ||= 39/32, 17/14, 40/33 ||= 3# ||
|| 7 || 336 ||= 39/32, 17/14, 40/33 ||= 3# ||
|| 8· || 384 ||= 5/4 ||= 4b ||
|| 8· || 384
|| 9 || 432 ||= 9/7, 32/25, 50/39 ||= 4 ||
100°48' ||= 5/4 ||= 4b ||
|| 10 || 480 ||= 33/25, 25/19 ||= 4#/5b ||
|| 9 || 432
|| 11· || 528 ||= 31/21, 34/25 ||= 5 ||
115°12' ||= 9/7, 32/25, 50/39 ||= 4 ||
|| 12 || 576 ||= 7/5, 39/28 ||= 5# ||
|| 10 || 480
|| 13 || 624 ||= 10/7, 56/39 ||= 6b ||
144° ||= 33/25, 25/19 ||= 4#/5b ||
|| 14· || 672 ||= 42/31, 25/17 ||= 6 ||
|| 11· || 528
|| 15 || 720 ||= 50/33, 38/25 ||= 6# ||
158°24' ||= 31/21, 34/25 ||= 5 ||
|| 16 || 768 ||= 14/9, 25/16, 39/25 ||= 7b ||
|| 12 || 576
|| 17· || 816 ||= 8/5 ||= 7 ||
172°48' ||= 7/5, 39/28 ||= 5# ||
|| 18 || 864 ||= 64/39, 28/17, 33/20 ||= 7# ||
|| 13 || 624
|| 19 || 912 ||= 32/19, 17/10 ||= 8b ||
187°12' ||= 10/7, 56/39 ||= 6b ||
|| 20· || 960 ||= 7/4 ||= 8 ||
|| 14· || 672
|| 21 || 1008 ||= 16/9, 9/5, 34/19 ||= 8# ||
201°36' ||= 42/31, 25/17 ||= 6 ||
|| 22 || 1056 ||= 11/6, 35/19 ||= 9b ||
|| 15 || 720
|| 23 || 1104 ||= 32/17, 17/9, 19/10 ||= 9 ||
216° ||= 50/33, 38/25 ||= 6# ||
|| 24 || 1152 ||= 33/17, 64/33, 76/39 ||= 9#/1b ||
|| 16 || 768
|| 25 || 1200 ||= 2/1 ||= 1 ||
230°24' ||= 14/9, 25/16, 39/25 ||= 7b ||
|| 17· || 816
244°48' ||= 8/5 ||= 7 ||
|| 18 || 864
259°12' ||= 64/39, 28/17, 33/20 ||= 7# ||
|| 19 || 912
273°36' ||= 32/19, 17/10 ||= 8b ||
|| 20· || 960
288° ||= 7/4 ||= 8 ||
|| 21 || 1008
302°14' ||= 16/9, 9/5, 34/19 ||= 8# ||
|| 22 || 1056
316°48' ||= 11/6, 35/19 ||= 9b ||
|| 23 || 1104
331°12' ||= 32/17, 17/9, 19/10 ||= 9 ||
|| 24 || 1152
345°36' ||= 33/17, 64/33, 76/39 ||= 9#/1b ||
|| 25 || 1200
360° ||= 2/1 ||= 1 ||
*based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible.
*based on treating 25-EDO as a 2.9.5.7.33.39.17.19 subgroup; other approaches are possible.


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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;48&lt;br /&gt;
         &lt;td&gt;48&lt;br /&gt;
14°24'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33/32, 39/38, 34/33&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33/32, 39/38, 34/33&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;96&lt;br /&gt;
         &lt;td&gt;96&lt;br /&gt;
28°48'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;17/16, 20/19, 18/17&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;17/16, 20/19, 18/17&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;144&lt;br /&gt;
         &lt;td&gt;144&lt;br /&gt;
43°12'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;12/11, 38/35&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12/11, 38/35&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;192&lt;br /&gt;
         &lt;td&gt;192&lt;br /&gt;
57°36'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/8, 10/9, 19/17&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/8, 10/9, 19/17&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;240&lt;br /&gt;
         &lt;td&gt;240&lt;br /&gt;
72°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;288&lt;br /&gt;
         &lt;td&gt;288&lt;br /&gt;
86°24'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;19/16, 20/17&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;19/16, 20/17&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;384&lt;br /&gt;
         &lt;td&gt;384&lt;br /&gt;
100°48'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;432&lt;br /&gt;
         &lt;td&gt;432&lt;br /&gt;
115°12'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/7, 32/25, 50/39&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/7, 32/25, 50/39&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;480&lt;br /&gt;
         &lt;td&gt;480&lt;br /&gt;
144°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33/25, 25/19&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33/25, 25/19&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;528&lt;br /&gt;
         &lt;td&gt;528&lt;br /&gt;
158°24'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;31/21, 34/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;31/21, 34/25&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;576&lt;br /&gt;
         &lt;td&gt;576&lt;br /&gt;
172°48'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/5, 39/28&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/5, 39/28&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;624&lt;br /&gt;
         &lt;td&gt;624&lt;br /&gt;
187°12'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;10/7, 56/39&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;10/7, 56/39&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;672&lt;br /&gt;
         &lt;td&gt;672&lt;br /&gt;
201°36'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;42/31, 25/17&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;42/31, 25/17&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;720&lt;br /&gt;
         &lt;td&gt;720&lt;br /&gt;
216°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;50/33, 38/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;50/33, 38/25&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;768&lt;br /&gt;
         &lt;td&gt;768&lt;br /&gt;
230°24'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;14/9, 25/16, 39/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;14/9, 25/16, 39/25&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;816&lt;br /&gt;
         &lt;td&gt;816&lt;br /&gt;
244°48'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;864&lt;br /&gt;
         &lt;td&gt;864&lt;br /&gt;
259°12'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;64/39, 28/17, 33/20&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;64/39, 28/17, 33/20&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;912&lt;br /&gt;
         &lt;td&gt;912&lt;br /&gt;
273°36'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;32/19, 17/10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;32/19, 17/10&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;960&lt;br /&gt;
         &lt;td&gt;960&lt;br /&gt;
288°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1008&lt;br /&gt;
         &lt;td&gt;1008&lt;br /&gt;
302°14'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;16/9, 9/5, 34/19&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16/9, 9/5, 34/19&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1056&lt;br /&gt;
         &lt;td&gt;1056&lt;br /&gt;
316°48'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;11/6, 35/19&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11/6, 35/19&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1104&lt;br /&gt;
         &lt;td&gt;1104&lt;br /&gt;
331°12'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;32/17, 17/9, 19/10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;32/17, 17/9, 19/10&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1152&lt;br /&gt;
         &lt;td&gt;1152&lt;br /&gt;
345°36'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;33/17, 64/33, 76/39&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;33/17, 64/33, 76/39&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200&lt;br /&gt;
         &lt;td&gt;1200&lt;br /&gt;
360°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;