21edo: 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:guest|guest]] and made on <tt>2010-02-19 05:45:00 UTC</tt>.<br>

: This revision was by author [[User:guest|guest]] and made on <tt>2010-02-19 05:53:26 UTC</tt>.<br>

: The original revision id was <tt>~~121496497~~</tt>.<br>

: The original revision id was <tt>121497163</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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<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">=21 equal divisions of the octave=

Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads.

Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third, and wide sixth, some 7-limit intervals, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).

Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).

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21-edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument)

Other 21-tone scales:

21-edo Narrow (minor) whole tone

21-edo Undecimal minor

21-edo Septimal neutral major

21-edo Quasi-equal major

21-edo Undecimal minor

21-edo Septimal neutral major

21-edo Quasi-equal major

[[image:http://www.ronsword.com/images/ron1.jpg width="254" height="188"]][[image:http://www.swordguitars.com/21tetsm.JPG width="363" height="191"]]

**//21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)//**

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<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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>21edo</title></head><body><h1 id="toc0"><a name="x21 equal divisions of the octave"></a>21 equal divisions of the octave</h1>

<br />

Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &quot;equi-heptatonic&quot; scales, or as seven 3-edo ''augmented'' triads.<br />

Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &quot;equi-heptatonic&quot; scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third, and wide sixth, some 7-limit intervals, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).<br />

<br />

Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).<br />

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21-edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument)<br />

<br />

Other 21-tone scales:<br />

<br />

21-edo Narrow (minor) whole tone<br />

21-edo Undecimal minor<br />

21-edo Septimal neutral major<br />

21-edo Quasi-equal major<br />

21-edo Undecimal minor<br />

21-edo Septimal neutral major<br />

21-edo Quasi-equal major<br />

<img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /><img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /><br />

<strong><em>21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)</em></strong><br />

@@ 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:guest|guest]] and made on <tt>2010-02-19 05:45:00 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2010-02-19 05:53:26 UTC</tt>.<br>
-: The original revision id was <tt>121496497</tt>.<br>
+: The original revision id was <tt>121497163</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 8: / Line 8: @@
 <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">=21 equal divisions of the octave=
-Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads.
+Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or "equi-heptatonic" scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third, and wide sixth, some 7-limit intervals, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).
 Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).
@@ Line 15: / Line 15: @@
 -edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument)
+Other 21-tone scales:
+-edo Narrow (minor) whole tone
+-edo Undecimal minor
+-edo Septimal neutral major
+-edo Quasi-equal major
+-edo Undecimal minor
+-edo Septimal neutral major
+-edo Quasi-equal major
 [[image:http://www.ronsword.com/images/ron1.jpg width="254" height="188"]][[image:http://www.swordguitars.com/21tetsm.JPG width="363" height="191"]]
 **//21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)//**
@@ Line 50: / Line 59: @@
 <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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;21edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x21 equal divisions of the octave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;21 equal divisions of the octave&lt;/h1&gt;
   &lt;br /&gt;
-Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &amp;quot;equi-heptatonic&amp;quot; scales, or as seven 3-edo ''augmented'' triads.&lt;br /&gt;
+Twenty one equal divisions of the octave provides the sonic fingerprint of the augmented and 7-edo family, while also giving a some higher harmony possibilities and fun intervals like the apotome, and the medium magic diesis. The system can be treated as three intertwining 7-edo or &amp;quot;equi-heptatonic&amp;quot; scales, or as seven 3-edo ''augmented'' triads. Some other cool things about 21-edo: it has an 11-limit minor third, and wide sixth, some 7-limit intervals, a 7/4 harmonic seventh or grave minor seventh 1280/729 approximation (whichever you please).&lt;br /&gt;
 &lt;br /&gt;
 Twenty-one has a period of 1/3 of the octave as opposed to 1/4 found in diminished families like 12-tet and 16-tet. Some sources claim that cultures in North and South Africa ( Zambezi / Angola / Chopi, etc), as well as ancient traditional Chinese music used 7-edo (or slight alterations within the pitch sets).&lt;br /&gt;
@@ Line 57: / Line 66: @@
 -edo Chopi scale: 3 2 3 4 3 3 3 (xylophone type instrument)&lt;br /&gt;
 &lt;br /&gt;
+Other 21-tone scales:&lt;br /&gt;
+&lt;br /&gt;
+-edo Narrow (minor) whole tone&lt;br /&gt;
+-edo Undecimal minor&lt;br /&gt;
+-edo Septimal neutral major&lt;br /&gt;
+-edo Quasi-equal major&lt;br /&gt;
+-edo Undecimal minor&lt;br /&gt;
+-edo Septimal neutral major&lt;br /&gt;
+-edo Quasi-equal major&lt;br /&gt;
 &lt;!-- ws:start:WikiTextRemoteImageRule:8:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/ron1.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 188px; width: 254px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:8 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:9:&amp;lt;img src=&amp;quot;http://www.swordguitars.com/21tetsm.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 191px; width: 363px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:9 --&gt;&lt;br /&gt;
 &lt;strong&gt;&lt;em&gt;21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;