Major minthmic chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 243960311 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 403174780 - 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:genewardsmith|genewardsmith]] and made on <tt> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-01-31 15:51:35 UTC</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 //minthmic chord// is an [[Dyadic chord|essentially tempered dyadic chord]] which is defined in the 13-limit rank five temperament, and in addition the rank three 2.3.11.13 temperament, tempering out the minthma, 352/351. We have the four minthmic tetrads, with steps the minthmic tempering of 11/9-16/13-7/6-8/7, 11/9-16/13-8/7-7/6, 16/13-11/9-7/6-8/7, and 16/13-11/9-8/7-7/6, leading to temperings of 1-11/9-3/2-7/4, 1-11/9-3/2-12/7, 1-16/13-3/2-7/4 and 1-16/13-3/2-12/7. These in turn have subchords such as the minthmic temperings of 1-11/9-3/2 and 1-16/13-3/2. Note that tempering 1-11/9-3/2-7/4 and 1-11/9-3/2-12/7 in [[jove tetrads|jove]] is also possible, leading to a similar but not identical chord. | <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 //minthmic chord// is an [[Dyadic chord|essentially tempered dyadic chord]] which is defined in the 13-limit rank five temperament, and in addition the rank three 2.3.11.13 temperament, tempering out the minthma, 352/351. We have the four minthmic tetrads, with steps the minthmic tempering of 11/9-16/13-7/6-8/7, 11/9-16/13-8/7-7/6, 16/13-11/9-7/6-8/7, and 16/13-11/9-8/7-7/6, leading to temperings of 1-11/9-3/2-7/4, 1-11/9-3/2-12/7, 1-16/13-3/2-7/4 and 1-16/13-3/2-12/7. These in turn have subchords such as the minthmic temperings of 1-11/9-3/2 and 1-16/13-3/2. Note that tempering 1-11/9-3/2-7/4 and 1-11/9-3/2-12/7 in [[jove tetrads|jove]] is also possible, leading to a similar but not identical chord. | ||
Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate ([[Margo Schulter]] has expressed great fondness for this comma, for example.) Equal temperaments with minthmic chords include 22, 29, 46, 53, 80, 87, 111, 121, 140 and | Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate ([[Margo Schulter]] has expressed great fondness for this comma, for example.) Equal temperaments with minthmic chords include 22, 29, 46, 53, 80, 87, 111, 121, 140, 198 and 205.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>minthmic chords</title></head><body>A <em>minthmic chord</em> is an <a class="wiki_link" href="/Dyadic%20chord">essentially tempered dyadic chord</a> which is defined in the 13-limit rank five temperament, and in addition the rank three 2.3.11.13 temperament, tempering out the minthma, 352/351. We have the four minthmic tetrads, with steps the minthmic tempering of 11/9-16/13-7/6-8/7, 11/9-16/13-8/7-7/6, 16/13-11/9-7/6-8/7, and 16/13-11/9-8/7-7/6, leading to temperings of 1-11/9-3/2-7/4, 1-11/9-3/2-12/7, 1-16/13-3/2-7/4 and 1-16/13-3/2-12/7. These in turn have subchords such as the minthmic temperings of 1-11/9-3/2 and 1-16/13-3/2. Note that tempering 1-11/9-3/2-7/4 and 1-11/9-3/2-12/7 in <a class="wiki_link" href="/jove%20tetrads">jove</a> is also possible, leading to a similar but not identical chord.<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>minthmic chords</title></head><body>A <em>minthmic chord</em> is an <a class="wiki_link" href="/Dyadic%20chord">essentially tempered dyadic chord</a> which is defined in the 13-limit rank five temperament, and in addition the rank three 2.3.11.13 temperament, tempering out the minthma, 352/351. We have the four minthmic tetrads, with steps the minthmic tempering of 11/9-16/13-7/6-8/7, 11/9-16/13-8/7-7/6, 16/13-11/9-7/6-8/7, and 16/13-11/9-8/7-7/6, leading to temperings of 1-11/9-3/2-7/4, 1-11/9-3/2-12/7, 1-16/13-3/2-7/4 and 1-16/13-3/2-12/7. These in turn have subchords such as the minthmic temperings of 1-11/9-3/2 and 1-16/13-3/2. Note that tempering 1-11/9-3/2-7/4 and 1-11/9-3/2-12/7 in <a class="wiki_link" href="/jove%20tetrads">jove</a> is also possible, leading to a similar but not identical chord.<br /> | ||
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Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate (<a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a> has expressed great fondness for this comma, for example.) Equal temperaments with minthmic chords include 22, 29, 46, 53, 80, 87, 111, 121, 140 and | Mintha was a nymph turned into a mint plant by a goddess whom she got in the way of, and minthmic tempering has the slightly sharp, minty-fresh fifths some people appreciate (<a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a> has expressed great fondness for this comma, for example.) Equal temperaments with minthmic chords include 22, 29, 46, 53, 80, 87, 111, 121, 140, 198 and 205.</body></html></pre></div> | ||