Armodue theory: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 243345815 - Original comment: ** |
Wikispaces>hstraub **Imported revision 441460270 - 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:hstraub|hstraub]] and made on <tt>2013-07-16 08:05:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>441460270</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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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 a //tenth//. | Consequently, the interval between a note at frequency n and other at frequency 2n is called a //tenth// or [[decave]]. | ||
The basic semitone 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. | The basic semitone 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. | ||
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|| [[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 || | ||
The white keys, corresponding to the notes wohtout accidentals in the notation system, form a [[Mavila]] [[7L 2s|superdiatonic scale (7L 2s).]] | |||
[[image:Armodue_Neck.PNG width="640" height="126" caption="Dot-Pattern inlays, by Armodue"]] | [[image:Armodue_Neck.PNG width="640" height="126" caption="Dot-Pattern inlays, by Armodue"]] | ||
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=Semi-equalized Armodue= | =Semi-equalized Armodue= | ||
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 | 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%20temperament|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). | 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). | ||
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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 a <em>tenth</em>.<br /> | Consequently, the interval between a note at frequency n and other at frequency 2n is called a <em>tenth</em> or <a class="wiki_link" href="/decave">decave</a>.<br /> | ||
<br /> | <br /> | ||
The basic semitone 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 /> | The basic semitone 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 /> | ||
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</table> | </table> | ||
The white keys, corresponding to the notes wohtout accidentals in the notation system, form a <a class="wiki_link" href="/Mavila">Mavila</a> <a class="wiki_link" href="/7L%202s">superdiatonic scale (7L 2s).</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule:352:&lt;img src=&quot;/file/view/Armodue_Neck.PNG/215944122/640x126/Armodue_Neck.PNG&quot; alt=&quot;Dot-Pattern inlays, by Armodue&quot; title=&quot;Dot-Pattern inlays, by Armodue&quot; style=&quot;height: 126px; width: 640px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Armodue_Neck.PNG/215944122/640x126/Armodue_Neck.PNG" alt="Armodue_Neck.PNG" title="Armodue_Neck.PNG" style="height: 126px; width: 640px;" /></td></tr><tr><td class="imageCaption">Dot-Pattern inlays, by Armodue</td></tr></table><!-- ws:end:WikiTextLocalImageRule:352 --><br /> | <!-- ws:start:WikiTextLocalImageRule:352:&lt;img src=&quot;/file/view/Armodue_Neck.PNG/215944122/640x126/Armodue_Neck.PNG&quot; alt=&quot;Dot-Pattern inlays, by Armodue&quot; title=&quot;Dot-Pattern inlays, by Armodue&quot; style=&quot;height: 126px; width: 640px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Armodue_Neck.PNG/215944122/640x126/Armodue_Neck.PNG" alt="Armodue_Neck.PNG" title="Armodue_Neck.PNG" style="height: 126px; width: 640px;" /></td></tr><tr><td class="imageCaption">Dot-Pattern inlays, by Armodue</td></tr></table><!-- ws:end:WikiTextLocalImageRule:352 --><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 (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 | 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%20temperament">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).<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).<br /> | ||