Harmony of 23edo: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 79928089 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 79928729 - Original comment: listed 10 triads, 6 tetrads, & one quintad in 23edo**
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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-30 13:06:54 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-06-30 13:11:45 UTC</tt>.<br>
: The original revision id was <tt>79928089</tt>.<br>
: The original revision id was <tt>79928729</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>listed 10 triads, 6 tetrads, & one quintad in 23edo</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>
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===16:17:18, degrees 0, 2, 4.===  
===16:17:18, degrees 0, 2, 4.===  
17/16 (104.955, error -.607)
17/16 (104.955, error -.607)
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
18/17 (98.955, error: +5.393)
18/17 (98.955, error: +5.393)


Line 44: Line 44:


===16:18:21, degrees 0, 4, 9.===  
===16:18:21, degrees 0, 4, 9.===  
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
21/16 (470.781, error -1.216)
21/16 (470.781, error -1.216)
21/18 = 7/6 (266.871, error: -6.001)
21/18 = 7/6 (266.871, error: -6.001)


===16:18:23, degrees 0, 4, 12.===  
===16:18:23, degrees 0, 4, 12.===  
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
23/16 (628.274, error -2.187)
23/16 (628.274, error -2.187)
23/18 (424.364, error: -6.973)
23/18 (424.364, error: -6.973)
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===16:17:18:21, degrees 0, 2, 4, 9.===  
===16:17:18:21, degrees 0, 2, 4, 9.===  
17/16 (104.955, error -.607)
17/16 (104.955, error -.607)
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
21/16 (470.781, error -1.216)
21/16 (470.781, error -1.216)
18/17 (98.955, error: +5.393)
18/17 (98.955, error: +5.393)
Line 90: Line 90:
===16:17:18:23, degrees 0, 2, 4, 12.===  
===16:17:18:23, degrees 0, 2, 4, 12.===  
17/16 (104.955, error -.607)
17/16 (104.955, error -.607)
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
23/16 (628.274, error -2.187)
23/16 (628.274, error -2.187)
18/17 (98.955, error: +5.393)
18/17 (98.955, error: +5.393)
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===16:18:21:23, degrees 0, 4, 9, 12.===  
===16:18:21:23, degrees 0, 4, 9, 12.===  
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
21/16 (470.781, error -1.216)
21/16 (470.781, error -1.216)
23/16 (628.274, error -2.187)
23/16 (628.274, error -2.187)
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===17:18:21:23, degrees 0, 2, 7, 10.===  
===17:18:21:23, degrees 0, 2, 7, 10.===  
 
18/17 (98.955, error: +5.393)
21/17 (365.825, error: -.608)
23/17 (523.319, error: -1.578)
21/18 = 7/6 (266.871, error: -6.001)
23/18 (424.364, error: -6.973)
23/21 (157.493, error: -.971)


==Quintad==  
==Quintad==  
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===16:17:18:21:23, degrees 0, 2, 4, 9, 12.===  
===16:17:18:21:23, degrees 0, 2, 4, 9, 12.===  
17/16 (104.955, error -.607)
17/16 (104.955, error -.607)
9/8 (203.910, error +4.786)
18/16 = 9/8 (203.910, error +4.786)
21/16 (470.781, error -1.216)
21/16 (470.781, error -1.216)
23/16 (628.274, error -2.187)
23/16 (628.274, error -2.187)
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&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Triads-16:17:18, degrees 0, 2, 4."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;16:17:18, degrees 0, 2, 4.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Triads-16:17:18, degrees 0, 2, 4."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;16:17:18, degrees 0, 2, 4.&lt;/h3&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
9/8 (203.910, error +4.786)&lt;br /&gt;
18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&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-Triads-16:18:21, degrees 0, 4, 9."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;16:18:21, degrees 0, 4, 9.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Triads-16:18:21, degrees 0, 4, 9."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;16:18:21, degrees 0, 4, 9.&lt;/h3&gt;
  9/8 (203.910, error +4.786)&lt;br /&gt;
  18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
21/18 = 7/6 (266.871, error: -6.001)&lt;br /&gt;
21/18 = 7/6 (266.871, error: -6.001)&lt;br /&gt;
&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-Triads-16:18:23, degrees 0, 4, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;16:18:23, degrees 0, 4, 12.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Triads-16:18:23, degrees 0, 4, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;16:18:23, degrees 0, 4, 12.&lt;/h3&gt;
  9/8 (203.910, error +4.786)&lt;br /&gt;
  18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
23/18 (424.364, error: -6.973)&lt;br /&gt;
23/18 (424.364, error: -6.973)&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x-Tetrads-16:17:18:21, degrees 0, 2, 4, 9."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;16:17:18:21, degrees 0, 2, 4, 9.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x-Tetrads-16:17:18:21, degrees 0, 2, 4, 9."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;16:17:18:21, degrees 0, 2, 4, 9.&lt;/h3&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
9/8 (203.910, error +4.786)&lt;br /&gt;
18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
Line 340: Line 345:
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Tetrads-16:17:18:23, degrees 0, 2, 4, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;16:17:18:23, degrees 0, 2, 4, 12.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Tetrads-16:17:18:23, degrees 0, 2, 4, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;16:17:18:23, degrees 0, 2, 4, 12.&lt;/h3&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
9/8 (203.910, error +4.786)&lt;br /&gt;
18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
18/17 (98.955, error: +5.393)&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-Tetrads-16:18:21:23, degrees 0, 4, 9, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;16:18:21:23, degrees 0, 4, 9, 12.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-Tetrads-16:18:21:23, degrees 0, 4, 9, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;16:18:21:23, degrees 0, 4, 9, 12.&lt;/h3&gt;
  9/8 (203.910, error +4.786)&lt;br /&gt;
  18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Tetrads-17:18:21:23, degrees 0, 2, 7, 10."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;17:18:21:23, degrees 0, 2, 7, 10.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Tetrads-17:18:21:23, degrees 0, 2, 7, 10."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;17:18:21:23, degrees 0, 2, 7, 10.&lt;/h3&gt;
  &lt;br /&gt;
  18/17 (98.955, error: +5.393)&lt;br /&gt;
21/17 (365.825, error: -.608)&lt;br /&gt;
23/17 (523.319, error: -1.578)&lt;br /&gt;
21/18 = 7/6 (266.871, error: -6.001)&lt;br /&gt;
23/18 (424.364, error: -6.973)&lt;br /&gt;
23/21 (157.493, error: -.971)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x-Quintad"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Quintad&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x-Quintad"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Quintad&lt;/h2&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x-Quintad-16:17:18:21:23, degrees 0, 2, 4, 9, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;16:17:18:21:23, degrees 0, 2, 4, 9, 12.&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x-Quintad-16:17:18:21:23, degrees 0, 2, 4, 9, 12."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;16:17:18:21:23, degrees 0, 2, 4, 9, 12.&lt;/h3&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
  17/16 (104.955, error -.607)&lt;br /&gt;
9/8 (203.910, error +4.786)&lt;br /&gt;
18/16 = 9/8 (203.910, error +4.786)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
21/16 (470.781, error -1.216)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;
23/16 (628.274, error -2.187)&lt;br /&gt;