Otones12-24: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 68454817 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 68455669 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-04-19 14:49:57 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-04-19 14:57:21 UTC</tt>.<br>
: The original revision id was <tt>68454817</tt>.<br>
: The original revision id was <tt>68455669</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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==modes==  
==modes==  


For your tuning pleasure, all 12 modes. Note that the names "C", "C#", refer to a keyboard mapping that begins the scale on C. Such a mapping &amp; naming system are, I admit, quite arbitrary.</pre></div>
For your tuning pleasure, all 12 modes. Note that the names "C", "C#", refer to a keyboard mapping that begins the scale on C. Such a mapping &amp; naming system are, I admit, quite arbitrary.
 
||  || C-12 || C#-13 || D-14 || D#-15 || E-16 || F-17 || F#-18 || G-19 || G#-20 || A-21 || A#-22 || B-23 ||
|| C-12 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| C#-13 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| D-14 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| D#-15 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| E-16 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| F-17 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| F#-18 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| G-19 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| G#-20 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| A-21 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| A#-22 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||
|| B-23 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  ||</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;otones12-24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A dedecatonic (12-note) scale borrowed from the overtone series:&lt;br /&gt;
<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;otones12-24&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A dedecatonic (12-note) scale borrowed from the overtone series:&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;modes&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;modes&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
For your tuning pleasure, all 12 modes. Note that the names &amp;quot;C&amp;quot;, &amp;quot;C#&amp;quot;, refer to a keyboard mapping that begins the scale on C. Such a mapping &amp;amp; naming system are, I admit, quite arbitrary.&lt;/body&gt;&lt;/html&gt;</pre></div>
For your tuning pleasure, all 12 modes. Note that the names &amp;quot;C&amp;quot;, &amp;quot;C#&amp;quot;, refer to a keyboard mapping that begins the scale on C. Such a mapping &amp;amp; naming system are, I admit, quite arbitrary.&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C#-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D#-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F#-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G#-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A#-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B-23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
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&lt;/td&gt;
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&lt;/td&gt;
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    &lt;/tr&gt;
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        &lt;td&gt;C#-13&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;D-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;D#-15&lt;br /&gt;
&lt;/td&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;E-16&lt;br /&gt;
&lt;/td&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;F-17&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;F#-18&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;G-19&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;G#-20&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;A-21&lt;br /&gt;
&lt;/td&gt;
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&lt;/td&gt;
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    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;A#-22&lt;br /&gt;
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        &lt;td&gt;B-23&lt;br /&gt;
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&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 14:57, 19 April 2009

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author Andrew_Heathwaite and made on 2009-04-19 14:57:21 UTC.
The original revision id was 68455669.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

A dedecatonic (12-note) scale borrowed from the overtone series:

12/12, 13/12, 14/12, 15/12, 16/12, 17/12, 18/12, 19/12, 20/12, 21/12, 22/12, 23/12, 24/12

which reduces to:

1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/12, 2/1

in cents:

0, 139, 267, 386, 498, 603, 702, 796, 884, 969, 1049, 1126, 1200

intervals between adjacent steps gradually get smaller, as is usual for overtone chunks like this:

13:12, 14:13, 15:14, 16:15, 17:16, 18:17, 19:18, 21:20, 22:21, 23:22, 24:23
= in cents:
139, 128, 119, 112, 105, 99, 94, 89, 84, 81, 77, 74

==modes== 

For your tuning pleasure, all 12 modes. Note that the names "C", "C#", refer to a keyboard mapping that begins the scale on C. Such a mapping & naming system are, I admit, quite arbitrary.

||   || C-12 || C#-13 || D-14 || D#-15 || E-16 || F-17 || F#-18 || G-19 || G#-20 || A-21 || A#-22 || B-23 ||
|| C-12 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| C#-13 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| D-14 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| D#-15 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| E-16 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| F-17 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| F#-18 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| G-19 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| G#-20 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| A-21 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| A#-22 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| B-23 ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||

Original HTML content:

<html><head><title>otones12-24</title></head><body>A dedecatonic (12-note) scale borrowed from the overtone series:<br />
<br />
12/12, 13/12, 14/12, 15/12, 16/12, 17/12, 18/12, 19/12, 20/12, 21/12, 22/12, 23/12, 24/12<br />
<br />
which reduces to:<br />
<br />
1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/12, 2/1<br />
<br />
in cents:<br />
<br />
0, 139, 267, 386, 498, 603, 702, 796, 884, 969, 1049, 1126, 1200<br />
<br />
intervals between adjacent steps gradually get smaller, as is usual for overtone chunks like this:<br />
<br />
13:12, 14:13, 15:14, 16:15, 17:16, 18:17, 19:18, 21:20, 22:21, 23:22, 24:23<br />
= in cents:<br />
139, 128, 119, 112, 105, 99, 94, 89, 84, 81, 77, 74<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-modes"></a><!-- ws:end:WikiTextHeadingRule:0 -->modes</h2>
 <br />
For your tuning pleasure, all 12 modes. Note that the names &quot;C&quot;, &quot;C#&quot;, refer to a keyboard mapping that begins the scale on C. Such a mapping &amp; naming system are, I admit, quite arbitrary.<br />
<br />


<table class="wiki_table">
    <tr>
        <td><br />
</td>
        <td>C-12<br />
</td>
        <td>C#-13<br />
</td>
        <td>D-14<br />
</td>
        <td>D#-15<br />
</td>
        <td>E-16<br />
</td>
        <td>F-17<br />
</td>
        <td>F#-18<br />
</td>
        <td>G-19<br />
</td>
        <td>G#-20<br />
</td>
        <td>A-21<br />
</td>
        <td>A#-22<br />
</td>
        <td>B-23<br />
</td>
    </tr>
    <tr>
        <td>C-12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>C#-13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>D-14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>D#-15<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>E-16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>F-17<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>F#-18<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>G-19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>G#-20<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>A-21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>A#-22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>B-23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

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