Armodue theory: Difference between revisions

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=Armodue Theory of 16EDO= 

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

Not only referring to the [[16edo|16-edo equal temperament]], but also to half-equal and [[http://en.wikipedia.org/wiki/Lou_Harrison|Lou Harrison]]'s [[JustIntonation|Just intonation]] 16 note scale, the natural octave division by <span style="font-family: Verdana; font-size: small; line-height: normal;">[[http://www.pertout.com|Andrián Pertout]] and the 16-to-31 [[OverToneSeries|overtone scale]], </span>Armodue is proposed as **totally new notation and theory system**.

( ? What does Armodue have to do with Lou Harrison's Just Intonation 16 tone scale ?)

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

The basic (micro-)tone of Armodue, whatever concrete temperament is used, is always called **eka** (from Sanskrit eka: one, unit). In the chromatic Armodue scale, one eka always corresponds to the interval between any two consecutive notes.

For composing in Armodue it's useful to use 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 ||


If for the execution of a musical piece we need to write on two or 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, the first tetragram (from top) refers to the 3rd tenth (central tenth, corresponding to the 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 as 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 <a class="wiki_link" href="/16edo">16-edo equal temperament</a>, but also to half-equal and <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Lou_Harrison" rel="nofollow">Lou Harrison</a>'s <a class="wiki_link" href="/JustIntonation">Just intonation</a> 16 note scale, the natural octave division by <span style="font-family: Verdana; font-size: small; line-height: normal;"><a class="wiki_link_ext" href="http://www.pertout.com" rel="nofollow">Andrián Pertout</a> and the 16-to-31 <a class="wiki_link" href="/OverToneSeries">overtone scale</a>, </span>Armodue is proposed as <strong>totally new notation and theory system</strong>.<br />
<br />
( ? What does Armodue have to do with Lou Harrison's Just Intonation 16 tone scale ?)<br />
<br />
Attempting of making the approach to Armodue as easy as possible, but conscious they had to give new names to the notes that constitute the system, the italian creators of the <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 named 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 />
The basic (micro-)tone of Armodue, whatever concrete temperament is used, is always called <strong>eka</strong> (from Sanskrit eka: one, unit). In the chromatic Armodue scale, one eka always corresponds to the interval between any two consecutive notes.<br />
<br />
For composing in Armodue it's useful to use 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 />
If for the execution of a musical piece we need to write on two or 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, the first tetragram (from top) refers to the 3rd tenth (central tenth, corresponding to the 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 as 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>

@@ 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:hstraub|hstraub]] and made on <tt>2010-10-01 03:12:53 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2010-10-11 06:11:12 UTC</tt>.<br>
-: The original revision id was <tt>166960047</tt>.<br>
+: The original revision id was <tt>169411159</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 11: / Line 11: @@
 Not only referring to the [[16edo|16-edo equal temperament]], but also to half-equal and [[http://en.wikipedia.org/wiki/Lou_Harrison|Lou Harrison]]'s [[JustIntonation|Just intonation]] 16 note scale, the natural octave division by &lt;span style="font-family: Verdana; font-size: small; line-height: normal;"&gt;[[http://www.pertout.com|Andrián Pertout]] and the 16-to-31 [[OverToneSeries|overtone scale]], &lt;/span&gt;Armodue is proposed as **totally new notation and theory system**.
+( ? What does Armodue have to do with Lou Harrison's Just Intonation 16 tone scale ?)
 Attempting of making the approach to Armodue as easy as possible, but conscious they had to give new names to the notes that constitute the system, the italian creators of the &lt;span style="background-position: 100% 50%; cursor: pointer; padding-right: 10px;"&gt;[[@http://armodue.com/|Armodue]]&lt;/span&gt; system named them numbering from 1 to 9:
@@ Line 52: / Line 54: @@
 &lt;br /&gt;
 Not only referring to the &lt;a class="wiki_link" href="/16edo"&gt;16-edo equal temperament&lt;/a&gt;, but also to half-equal and &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Lou_Harrison" rel="nofollow"&gt;Lou Harrison&lt;/a&gt;'s &lt;a class="wiki_link" href="/JustIntonation"&gt;Just intonation&lt;/a&gt; 16 note scale, the natural octave division by &lt;span style="font-family: Verdana; font-size: small; line-height: normal;"&gt;&lt;a class="wiki_link_ext" href="http://www.pertout.com" rel="nofollow"&gt;Andrián Pertout&lt;/a&gt; and the 16-to-31 &lt;a class="wiki_link" href="/OverToneSeries"&gt;overtone scale&lt;/a&gt;, &lt;/span&gt;Armodue is proposed as &lt;strong&gt;totally new notation and theory system&lt;/strong&gt;.&lt;br /&gt;
+&lt;br /&gt;
+( ? What does Armodue have to do with Lou Harrison's Just Intonation 16 tone scale ?)&lt;br /&gt;
 &lt;br /&gt;
 Attempting of making the approach to Armodue as easy as possible, but conscious they had to give new names to the notes that constitute the system, the italian creators of the &lt;span style="background-position: 100% 50%; cursor: pointer; padding-right: 10px;"&gt;&lt;a class="wiki_link_ext" href="http://armodue.com/" rel="nofollow" target="_blank"&gt;Armodue&lt;/a&gt;&lt;/span&gt; system named them numbering from 1 to 9:&lt;br /&gt;

Armodue theory: Difference between revisions

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