Harmony of 23edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 146939217 - Original comment: How do you determine a nearest harmonic ratio?** |
Wikispaces>xenwolf **Imported revision 148885461 - 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:xenwolf|xenwolf]] and made on <tt>2010-06- | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-06-15 03:07:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>148885461</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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Thus we produce ten triads, five tetrads, & one quintad, 16 chords, which, with their inversions (given), doubles to 32 chords. I've written then in a closed position (within one octave), & I recommend trying different voicings. Moving chord tones up & down by octaves, you can unmuddy a muddy chord. | Thus we produce ten triads, five tetrads, & one quintad, 16 chords, which, with their inversions (given), doubles to 32 chords. I've written then in a closed position (within one octave), & I recommend trying different voicings. Moving chord tones up & down by octaves, you can unmuddy a muddy chord. | ||
== | ==[[Triad]]s== | ||
===16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21).=== | ===16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21).=== | ||
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23/21 (157.493, error: -.971) | 23/21 (157.493, error: -.971) | ||
== | ==[[Tetrad]]s== | ||
===16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21).=== | ===16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21).=== | ||
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23/21 (157.493, error: -.971) | 23/21 (157.493, error: -.971) | ||
==Quintad== | ==[[Quintad]]== | ||
===16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21).=== | ===16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21).=== | ||
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Thus we produce ten triads, five tetrads, &amp; one quintad, 16 chords, which, with their inversions (given), doubles to 32 chords. I've written then in a closed position (within one octave), &amp; I recommend trying different voicings. Moving chord tones up &amp; down by octaves, you can unmuddy a muddy chord.<br /> | Thus we produce ten triads, five tetrads, &amp; one quintad, 16 chords, which, with their inversions (given), doubles to 32 chords. I've written then in a closed position (within one octave), &amp; I recommend trying different voicings. Moving chord tones up &amp; down by octaves, you can unmuddy a muddy chord.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Triads"></a><!-- ws:end:WikiTextHeadingRule:0 --> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Triads"></a><!-- ws:end:WikiTextHeadingRule:0 --><a class="wiki_link" href="/Triad">Triad</a>s</h2> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Triads-16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:2 -->16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21).</h3> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Triads-16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:2 -->16:17:18, degrees 0, 2, 4 (inversion 0, 19, 21).</h3> | ||
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23/21 (157.493, error: -.971)<br /> | 23/21 (157.493, error: -.971)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Tetrads"></a><!-- ws:end:WikiTextHeadingRule:22 --> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Tetrads"></a><!-- ws:end:WikiTextHeadingRule:22 --><a class="wiki_link" href="/Tetrad">Tetrad</a>s</h2> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x-Tetrads-16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:24 -->16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21).</h3> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x-Tetrads-16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:24 -->16:17:18:21, degrees 0, 2, 4, 9 (inversion 0, 14, 19, 21).</h3> | ||
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23/21 (157.493, error: -.971)<br /> | 23/21 (157.493, error: -.971)<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x-Quintad"></a><!-- ws:end:WikiTextHeadingRule:34 -->Quintad</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x-Quintad"></a><!-- ws:end:WikiTextHeadingRule:34 --><a class="wiki_link" href="/Quintad">Quintad</a></h2> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="x-Quintad-16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:36 -->16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21).</h3> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="x-Quintad-16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21)."></a><!-- ws:end:WikiTextHeadingRule:36 -->16:17:18:21:23, degrees 0, 2, 4, 9, 12 (inversion 0, 11, 14, 19, 21).</h3> | ||