23edo: 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:~~Osmiorisbendi~~|~~Osmiorisbendi~~]] and made on <tt>2011-07-~~28 15~~:51:50 UTC</tt>.<br>

: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-07-31 22:55:33 UTC</tt>.<br>

: The original revision id was <tt>~~243289553~~</tt>.<br>

: The original revision id was <tt>243662705</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>

<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">[[media type="custom" key="10021317"]][[toc|flat]]

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==Kosmorsky's Sephiroth modes==

I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale ([[3L 7s|3L 7s fair mosh]]);

I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale ([[3L 7s|3L 7s fair mosh]]); This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the 21st harmonic and three add up to the 17th harmonic almost perfectly. Interestingly, the chord 8:13:21:34 is a fragment of the fibonacci sequence.

This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the ~~Harmonic21~~

and three add up to the ~~Harmonic17~~ almost perfectly ~~(I discovered~~ the ~~temperament before I even realised 23 tone fits)~~

~~The~~ chord 8:13:21:34 is a fragment of the fibonacci sequence~~, and 16:21:26 is harmonically symmetrical~~

~~(The chord 26:29:32 is also symmetric, but only [[20edo]] and [[43edo]] approximate the Harmonic29, as well)~~

~~13:17:21 is symmetrical, and 17:21:26:32 has an interesting linear widening pattern, but more importantly,~~

~~the Harmonic13 and Harmonic17 are both dual primes like 3&5 and 7&11~~

~~Thus~~ I have named these 10 modes according to the Sephiroth as follows:

Notated in ascending (standard) form. I have named these 10 modes according to the Sephiroth as follows:

2 2 2 3 2 2 3 2 2 3 - Mode Keter

2 2 3 2 2 3 2 2 3 2 - Chesed

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3 2 2 2 3 2 2 3 2 2 - Hod

~~-- Kosmorsky~~

=Music=

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</script><a href="#x23 tone equal temperament">23 tone equal temperament</a> | <a href="#Intervals">Intervals</a> | <a href="#Music">Music</a> | <a href="#toc4"> </a> | <a href="#Commas">Commas</a> | <a href="#x23 tone Equal Modes:">23 tone Equal Modes:</a> | <a href="#Books">Books</a> | <a href="#Instruments">Instruments</a>

<br />

<br />

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<br />

<h2 id="toc2"><a name="Intervals-Kosmorsky's Sephiroth modes"></a>Kosmorsky's Sephiroth modes</h2>

I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale (<a class="wiki_link" href="/3L%207s">3L 7s fair mosh</a>);~~<br />~~

I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale (<a class="wiki_link" href="/3L%207s">3L 7s fair mosh</a>); This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the 21st harmonic and three add up to the 17th harmonic almost perfectly. Interestingly, the chord 8:13:21:34 is a fragment of the fibonacci sequence.<br />

This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the ~~Harmonic21<br />~~

and three add up to the ~~Harmonic17~~ almost perfectly ~~(I discovered~~ the ~~temperament before I even realised 23 tone fits)<br />~~

~~The~~ chord 8:13:21:34 is a fragment of the fibonacci sequence~~, and 16:21:26 is harmonically symmetrical<br />~~

(The chord 26:29:32 is also symmetric, but only <a class="wiki_link" href="/20edo">20edo</a> and <a class="wiki_link" href="/43edo">43edo</a> approximate the Harmonic29, as well)<br />

~~13:17:21 is symmetrical, and 17:21:26:32 has an interesting linear widening pattern, but more importantly,<br />~~

~~the Harmonic13 and Harmonic17 are both dual primes like 3&amp;5 and 7&amp;11~~<br />

<br />

~~Thus~~ I have named these 10 modes according to the Sephiroth as follows:<br />

Notated in ascending (standard) form. I have named these 10 modes according to the Sephiroth as follows:<br />

2 2 2 3 2 2 3 2 2 3 - Mode Keter<br />

2 2 3 2 2 3 2 2 3 2 - Chesed<br />

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3 2 2 2 3 2 2 3 2 2 - Hod<br />

<br />

~~-- Kosmorsky<br />~~

<br />

<h1 id="toc3"><a name="Music"></a>Music</h1>

@@ 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-07-28 15:51:50 UTC</tt>.<br>
+: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-07-31 22:55:33 UTC</tt>.<br>
-: The original revision id was <tt>243289553</tt>.<br>
+: The original revision id was <tt>243662705</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>
 <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">[[media type="custom" key="10021317"]][[toc|flat]]
@@ Line 54: / Line 55: @@
 ==Kosmorsky's Sephiroth modes==
-I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale ([[3L 7s|3L 7s fair mosh]]);
+I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale ([[3L 7s|3L 7s fair mosh]]); This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the 21st harmonic and three add up to the 17th harmonic almost perfectly. Interestingly, the chord 8:13:21:34 is a fragment of the fibonacci sequence.
-This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the Harmonic21
-and three add up to the Harmonic17 almost perfectly (I discovered the temperament before I even realised 23 tone fits)
-The chord 8:13:21:34 is a fragment of the fibonacci sequence, and 16:21:26 is harmonically symmetrical
-(The chord 26:29:32 is also symmetric, but only [[20edo]] and [[43edo]] approximate the Harmonic29, as well)
-:17:21 is symmetrical, and 17:21:26:32 has an interesting linear widening pattern, but more importantly,
-the Harmonic13 and Harmonic17 are both dual primes like 3&amp;5 and 7&amp;11
-Thus I have named these 10 modes according to the Sephiroth as follows:
+Notated in ascending (standard) form. I have named these 10 modes according to the Sephiroth as follows:
 2 2 3 2 2 3 2 2 3 - Mode Keter
 2 3 2 2 3 2 2 3 2 - Chesed
@@ Line 74: / Line 69: @@
 2 2 2 3 2 2 3 2 2 - Hod
--- Kosmorsky
 =Music=
@@ Line 175: / Line 169: @@
 &lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;!-- ws:start:WikiTextTocRule:22:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;!-- ws:start:WikiTextTocRule:23: --&gt;&lt;a href="#x23 tone equal temperament"&gt;23 tone equal temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:23 --&gt;&lt;!-- ws:start:WikiTextTocRule:24: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:24 --&gt;&lt;!-- ws:start:WikiTextTocRule:25: --&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt; | &lt;a href="#Music"&gt;Music&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt; | &lt;a href="#toc4"&gt; &lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt; | &lt;a href="#Commas"&gt;Commas&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt; | &lt;a href="#x23 tone Equal Modes:"&gt;23 tone Equal Modes:&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt; | &lt;a href="#Books"&gt;Books&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt; | &lt;a href="#Instruments"&gt;Instruments&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;
 &lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;br /&gt;
+&lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;
@@ Line 402: / Line 397: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals-Kosmorsky's Sephiroth modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Kosmorsky's Sephiroth modes&lt;/h2&gt;
-  I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale (&lt;a class="wiki_link" href="/3L%207s"&gt;3L 7s fair mosh&lt;/a&gt;);&lt;br /&gt;
+  I would argue that the most significant modes of 23 edo are those of the 2 2 2 3 2 2 3 2 2 3 scale (&lt;a class="wiki_link" href="/3L%207s"&gt;3L 7s fair mosh&lt;/a&gt;); This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the 21st harmonic and three add up to the 17th harmonic almost perfectly. Interestingly, the chord 8:13:21:34 is a fragment of the fibonacci sequence.&lt;br /&gt;
-This is derived from extending the ~1/3 comma tempered 13th Harmonic, two of which add up to the Harmonic21&lt;br /&gt;
-and three add up to the Harmonic17 almost perfectly (I discovered the temperament before I even realised 23 tone fits)&lt;br /&gt;
-The chord 8:13:21:34 is a fragment of the fibonacci sequence, and 16:21:26 is harmonically symmetrical&lt;br /&gt;
-(The chord 26:29:32 is also symmetric, but only &lt;a class="wiki_link" href="/20edo"&gt;20edo&lt;/a&gt; and &lt;a class="wiki_link" href="/43edo"&gt;43edo&lt;/a&gt; approximate the Harmonic29, as well)&lt;br /&gt;
-:17:21 is symmetrical, and 17:21:26:32 has an interesting linear widening pattern, but more importantly,&lt;br /&gt;
-the Harmonic13 and Harmonic17 are both dual primes like 3&amp;amp;5 and 7&amp;amp;11&lt;br /&gt;
 &lt;br /&gt;
-Thus I have named these 10 modes according to the Sephiroth as follows:&lt;br /&gt;
+Notated in ascending (standard) form. I have named these 10 modes according to the Sephiroth as follows:&lt;br /&gt;
 2 2 3 2 2 3 2 2 3 - Mode Keter&lt;br /&gt;
 2 3 2 2 3 2 2 3 2 - Chesed&lt;br /&gt;
@@ Line 422: / Line 411: @@
 2 2 2 3 2 2 3 2 2 - Hod&lt;br /&gt;
 &lt;br /&gt;
--- Kosmorsky&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Music&lt;/h1&gt;

23edo: Difference between revisions

Wikispaces>Kosmorsky