Armodue theory

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This revision was by author hstraub and made on 2010-09-09 07:13:56 UTC.
The original revision id was 161347963.
The revision comment was:

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Original Wikitext content:

=Armodue Theory of 16EDO= 

//(summary translation from the italian site// [[http://www.armodue.com/ricerche.htm|Armodue]] )

Not only referring to the 16-edo equal temperament, but also to half-equal and Lou Harrison's Just intonation 16 note scale, natural octave division of <span style="font-family: Verdana; font-size: small; line-height: normal;">Andrián Pertout,</span>
<span style="font-family: Verdana; font-size: small; line-height: normal;"> and 16-to-31 overtone scale, </span>Armodue is proposed as __totally new notation and theory system__.

Attempting of making much easy as possible the approach to Armodue, but conscious they had to give new names to the notes that constitutes the system,
the italian creators of <span style="background-position: 100% 50%; cursor: pointer; padding-right: 10px;">[[@http://armodue.com/|Armodue]]</span> system called them numbering from 1 to 9:

1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9

Consequently, the interval between a note at frequency n and other at frequency 2n is called **tenth**.



For composing in Armodue it's useful using a **tetragram** (staff with 4 lines)

|| [[image:http://www.armodue.com/TETR-%5B1%5D.jpg caption="copyright Armodue, used with permission"]] ||
|| copyright Armodue, used with permission ||


In a musical piece, for which esecution, if we need to write on two o more tetragrams, the notes will be written in the same way for every tetragram.
In other words, the "1" note will be written immediately under the first line __in every tenth__.

In Armodue we have only a numeric clef, that show us the tenth:

|| [[image:http://www.armodue.com/Chiave.gif caption="copyright Armodue, used with permission"]] ||
|| copyright Armodue, used with permission ||




The clefs 1,2,3... refers to the tenths: first, second, third...
So, in the illustrated example above, first tetragram (from top) refers to the 3rd tenth (central tenth, corresponding at equivalent octave C3-C4),
the second tetragram to the 5th tenth and the third to the 2nd. If we need to write simultaneously on several staves, we will draws normal braces.

The keyboard conceived by Armodue authors has the same disposition of the Goldsmith's one (except the curvature):
|| [[image:http://www.armodue.com/Tastiera.jpg caption="copyright Armodue, used by permission"]] ||
|| copyright Armodue, used by permission ||

XXX

Original HTML content:

<html><head><title>Armodue theory</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Armodue Theory of 16EDO"></a><!-- ws:end:WikiTextHeadingRule:0 -->Armodue Theory of 16EDO</h1>
 <br />
<em>(summary translation from the italian site</em> <a class="wiki_link_ext" href="http://www.armodue.com/ricerche.htm" rel="nofollow">Armodue</a> )<br />
<br />
Not only referring to the 16-edo equal temperament, but also to half-equal and Lou Harrison's Just intonation 16 note scale, natural octave division of <span style="font-family: Verdana; font-size: small; line-height: normal;">Andrián Pertout,</span><br />
<span style="font-family: Verdana; font-size: small; line-height: normal;"> and 16-to-31 overtone scale, </span>Armodue is proposed as <u>totally new notation and theory system</u>.<br />
<br />
Attempting of making much easy as possible the approach to Armodue, but conscious they had to give new names to the notes that constitutes the system,<br />
the italian creators of <span style="background-position: 100% 50%; cursor: pointer; padding-right: 10px;"><a class="wiki_link_ext" href="http://armodue.com/" rel="nofollow" target="_blank">Armodue</a></span> system called them numbering from 1 to 9:<br />
<br />
1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9<br />
<br />
Consequently, the interval between a note at frequency n and other at frequency 2n is called <strong>tenth</strong>.<br />
<br />
<br />
<br />
For composing in Armodue it's useful using a <strong>tetragram</strong> (staff with 4 lines)<br />
<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextRemoteImageRule:32:&lt;img src=&quot;http://www.armodue.com/TETR-%5B1%5D.jpg&quot; alt=&quot;copyright Armodue, used with permission&quot; title=&quot;copyright Armodue, used with permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/TETR-%5B1%5D.jpg" alt="copyright Armodue, used with permission" title="copyright Armodue, used with permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used with permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:32 --><br />
</td>
    </tr>
    <tr>
        <td>copyright Armodue, used with permission<br />
</td>
    </tr>
</table>

<br />
<br />
In a musical piece, for which esecution, if we need to write on two o more tetragrams, the notes will be written in the same way for every tetragram.<br />
In other words, the &quot;1&quot; note will be written immediately under the first line <u>in every tenth</u>.<br />
<br />
In Armodue we have only a numeric clef, that show us the tenth:<br />
<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextRemoteImageRule:33:&lt;img src=&quot;http://www.armodue.com/Chiave.gif&quot; alt=&quot;copyright Armodue, used with permission&quot; title=&quot;copyright Armodue, used with permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/Chiave.gif" alt="copyright Armodue, used with permission" title="copyright Armodue, used with permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used with permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:33 --><br />
</td>
    </tr>
    <tr>
        <td>copyright Armodue, used with permission<br />
</td>
    </tr>
</table>

<br />
<br />
<br />
<br />
The clefs 1,2,3... refers to the tenths: first, second, third...<br />
So, in the illustrated example above, first tetragram (from top) refers to the 3rd tenth (central tenth, corresponding at equivalent octave C3-C4),<br />
the second tetragram to the 5th tenth and the third to the 2nd. If we need to write simultaneously on several staves, we will draws normal braces.<br />
<br />
The keyboard conceived by Armodue authors has the same disposition of the Goldsmith's one (except the curvature):<br />


<table class="wiki_table">
    <tr>
        <td><!-- ws:start:WikiTextRemoteImageRule:34:&lt;img src=&quot;http://www.armodue.com/Tastiera.jpg&quot; alt=&quot;copyright Armodue, used by permission&quot; title=&quot;copyright Armodue, used by permission&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="http://www.armodue.com/Tastiera.jpg" alt="copyright Armodue, used by permission" title="copyright Armodue, used by permission" /></td></tr><tr><td class="imageCaption">copyright Armodue, used by permission</td></tr></table><!-- ws:end:WikiTextRemoteImageRule:34 --><br />
</td>
    </tr>
    <tr>
        <td>copyright Armodue, used by permission<br />
</td>
    </tr>
</table>

<br />
XXX</body></html>