Sensamagic chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 284765720 - Original comment: ** |
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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:genewardsmith|genewardsmith]] and made on <tt>2011-12- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-17 17:34:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>287094792</tt>.<br> | ||
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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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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">A //sensamagic chord// is an [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">A //sensamagic chord// is an [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic chord]] tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9. | ||
For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9. Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.</pre></div> | For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9. | ||
Sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11. | |||
Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.</pre></div> | |||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>sensamagic chords</title></head><body>A <em>sensamagic chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chords">essentially tempered dyadic chord</a> tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>sensamagic chords</title></head><body>A <em>sensamagic chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chords">essentially tempered dyadic chord</a> tempered by the sensamagic comma, 245/243. The sensamagic triad is a sensamagic chord with three notes when reduced to the octave, which in close position consists of two supermajor thirds, approximately 9/7, and a minor third, approximately 6/5, or in other words a 9/7-9/7-6/5 chord, which closes at the octave because the sensamagic comma, 245/243, is tempered out. It can also be described as a sensamagic-tempered version of 1-9/7-5/3. The other sensamagic triads are the chord 1-7/6-9/7, with steps of 7/6-10/9-14/9, and its inversion 1-7/6-9/5, with steps 7/6-14/9-10/9.<br /> | ||
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For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9. Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.</body></html></pre></div> | For sensamagic tetrads there are 1-7/6-9/7-3/2, with steps 7/6-10/9-7/6-4/3; 1-7/6-3/2-9/5 with steps 7/6-9/7-6/5-10/9 and its inversion 1-9/7-3/2-5/3 with steps 9/7-7/6-10/9-6/5; 1-7/6-7/5-9/5 with steps 7/6-6/5-9/7-10/9 and its inversion 1-7/6-9/7-5/3 with steps 7/6-10/9-9/7-6/5; and 1-7/6-9/7-9/5 with steps 7/6-10/9-7/5-10/9. For pentads there are 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion, 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9. <br /> | ||
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Sensamagic chords number triads: 3, tetrads: 6, pentads: 2, for a total of 11.<br /> | |||
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Equal temperaments with sensamagic chords include 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283, 324d, 411bd, 607bd and 694bd.</body></html></pre></div> | |||