Armodue theory: Difference between revisions
Wikispaces>hstraub **Imported revision 240210631 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 240229187 - Original comment: ** |
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<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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-06 14:00:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>240229187</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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//(summary translation from the italian site// [[http://www.armodue.com/ricerche.htm|Armodue]] ) | //(summary translation from the italian site// [[http://www.armodue.com/ricerche.htm|Armodue]] ) | ||
Referring not only 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 has been proposed as a new notation and theory system. | |||
Desiring to make the approach to Armodue as easy as possible, but conscious that 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 | 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 | Consequently, the interval between a note at frequency n and other at frequency 2n is called a //tenth//. | ||
The basic (micro-)tone of Armodue, whatever concrete temperament is used, is always called | 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 | 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"]] || | || [[image:http://www.armodue.com/TETR-%5B1%5D.jpg caption="copyright Armodue, used with permission"]] || | ||
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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 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): | The keyboard conceived by the 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"]] || | || [[image:http://www.armodue.com/Tastiera.jpg caption="copyright Armodue, used by permission"]] || | ||
|| copyright Armodue, used by permission || | || copyright Armodue, used by permission || | ||
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=Semi-equalized Armodue= | =Semi-equalized Armodue= | ||
One step of 16edo (75 cents) is nearly equal to two steps of [[31edo]] (77. | One step of 16edo (75 cents) is nearly equal to two steps (2\31) of [[31edo]] (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes # 7 and 8). leading to the 16 note MOS Valentine[16] of [[Starling temperaments#Valentine|valentine temperament]]. Similarly we might use three steps of [[46edo]], 3\46, 78.26 cents, or five steps of [[77edo]], 77.92 cents. | ||
Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged).</pre></div> | Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged).</pre></div> | ||
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<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 /> | <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 /> | <br /> | ||
Referring not only 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 has been proposed as a new notation and theory system.<br /> | |||
<br /> | <br /> | ||
Desiring to make the approach to Armodue as easy as possible, but conscious that 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 /> | <br /> | ||
1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9<br /> | 1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9<br /> | ||
<br /> | <br /> | ||
Consequently, the interval between a note at frequency n and other at frequency 2n is called < | Consequently, the interval between a note at frequency n and other at frequency 2n is called a <em>tenth</em>.<br /> | ||
<br /> | <br /> | ||
The basic (micro-)tone of Armodue, whatever concrete temperament is used, is always called < | The basic (micro-)tone of Armodue, whatever concrete temperament is used, is always called <em>eka</em> (from Sanskrit eka: one, unit). In the chromatic Armodue scale, one eka always corresponds to the interval between any two consecutive notes.<br /> | ||
<br /> | <br /> | ||
For composing in Armodue it's useful to use a < | For composing in Armodue it's useful to use a <em>tetragram</em> (staff with 4 lines)<br /> | ||
<br /> | <br /> | ||
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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 /> | 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 /> | <br /> | ||
The keyboard conceived by Armodue authors has the same disposition as Goldsmith's one (except the curvature):<br /> | The keyboard conceived by the Armodue authors has the same disposition as Goldsmith's one (except the curvature):<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Semi-equalized Armodue"></a><!-- ws:end:WikiTextHeadingRule:4 -->Semi-equalized Armodue</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Semi-equalized Armodue"></a><!-- ws:end:WikiTextHeadingRule:4 -->Semi-equalized Armodue</h1> | ||
<br /> | <br /> | ||
One step of 16edo (75 cents) is nearly equal to two steps of <a class="wiki_link" href="/31edo">31edo</a> (77. | One step of 16edo (75 cents) is nearly equal to two steps (2\31) of <a class="wiki_link" href="/31edo">31edo</a> (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes # 7 and 8). leading to the 16 note MOS Valentine[16] of <a class="wiki_link" href="/Starling%20temperaments#Valentine">valentine temperament</a>. Similarly we might use three steps of <a class="wiki_link" href="/46edo">46edo</a>, 3\46, 78.26 cents, or five steps of <a class="wiki_link" href="/77edo">77edo</a>, 77.92 cents. <br /> | ||
< | |||
<br /> | <br /> | ||
Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged).</body></html></pre></div> | Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals (intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged).</body></html></pre></div> | ||