Magic: Difference between revisions
Wikispaces>genewardsmith **Imported revision 296239584 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 306399608 - 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>2012- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-29 11:58:55 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>306399608</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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[[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3|A Piece in Paulsmagic]] | [[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3|A Piece in Paulsmagic]] | ||
[[paulsmagic]] | [[paulsmagic]] | ||
[[@http://www.chrisvaisvil.com/|Chris Vaisvil]] </pre></div> | [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] | ||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3|Magical Thinking]] | |||
//A brief example of using "magic temperament" http://xenharmonic.wikispaces.com/Magic+family | |||
to equate the intervals 36/35 and 25/24 into one "semitone" step, specifically to distinguish between seventh chords using 7:4 and 9:5, i.e. harmonic 4:5:6:7 chords and traditional "dominant" chords tuned with a 6:5 above the 3:2. For analog organ and faded chrysanthemum-Cameron Bobro// | |||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3|Magical Daydream]] | |||
//A brief demonstration of the near-Just musical temperament which flattens the pure major third of 5:4 by a few cents, such that 5 major thirds does not exceed 3:1 (a pure fifth + 1 octave), but meets it precisely. In a purely tuned system, the thirds would exceed 3:1 by what is known as the small diesis, (a ratio 3125/3072, about thirty cents). This temperament, then, brings (almost) pure thirds and pure fifths together. Cameron Bobro// | |||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/EveningHorizon_CBobro.mp3|Evening Horizon]] | |||
//The earliest implementation (by happy accident, it seems) of this temperament was, to my knowledge, by Paul von Janko over a century ago. More recently, an online tuning community has elaborated many precise variations, calling the temperament "magic".. This piece is a demonstration of the array of pitches created by using 22 generators (the slightly tempered 5:4) within the octave, an approach which creates a "moment of symmetry", with all pitches separated by the same two intervals. This has many curious repercussions, creating some musical possibilities and restricting others. Cameron Bobro//</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>Magic</title></head><body><strong>Magic</strong> is a linear temperament in which the ~380 cent generator represents 5/4, and five of those make a 3/1. This implies that the <a class="wiki_link" href="/magic%20comma">magic comma</a> 3125/3072 is tempered out, making it a member of the <a class="wiki_link" href="/Magic%20family">Magic family</a>. This article also assumes the default mapping for the prime 7, which tempers out 225/224 and makes two generators equivalent to 14/9. 7/4 can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as <a class="wiki_link" href="/Magic%20family#Muggles">muggles</a>, but there's basically no reason to use it unless you're using <a class="wiki_link" href="/19edo">19edo</a>, in which case it's identical to magic anyway.)<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>Magic</title></head><body><strong>Magic</strong> is a linear temperament in which the ~380 cent generator represents 5/4, and five of those make a 3/1. This implies that the <a class="wiki_link" href="/magic%20comma">magic comma</a> 3125/3072 is tempered out, making it a member of the <a class="wiki_link" href="/Magic%20family">Magic family</a>. This article also assumes the default mapping for the prime 7, which tempers out 225/224 and makes two generators equivalent to 14/9. 7/4 can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as <a class="wiki_link" href="/Magic%20family#Muggles">muggles</a>, but there's basically no reason to use it unless you're using <a class="wiki_link" href="/19edo">19edo</a>, in which case it's identical to magic anyway.)<br /> | ||
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<a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow">A Piece in Paulsmagic</a><br /> | <a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow">A Piece in Paulsmagic</a><br /> | ||
<a class="wiki_link" href="/paulsmagic">paulsmagic</a><br /> | <a class="wiki_link" href="/paulsmagic">paulsmagic</a><br /> | ||
<a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a></body></html></pre></div> | <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> <br /> | ||
<br /> | |||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3" rel="nofollow">Magical Thinking</a><br /> | |||
<em>A brief example of using &quot;magic temperament&quot; <!-- ws:start:WikiTextUrlRule:151:http://xenharmonic.wikispaces.com/Magic+family --><a href="http://xenharmonic.wikispaces.com/Magic+family">http://xenharmonic.wikispaces.com/Magic+family</a><!-- ws:end:WikiTextUrlRule:151 --> <br /> | |||
to equate the intervals 36/35 and 25/24 into one &quot;semitone&quot; step, specifically to distinguish between seventh chords using 7:4 and 9:5, i.e. harmonic 4:5:6:7 chords and traditional &quot;dominant&quot; chords tuned with a 6:5 above the 3:2. For analog organ and faded chrysanthemum-Cameron Bobro</em><br /> | |||
<br /> | |||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3" rel="nofollow">Magical Daydream</a><br /> | |||
<em>A brief demonstration of the near-Just musical temperament which flattens the pure major third of 5:4 by a few cents, such that 5 major thirds does not exceed 3:1 (a pure fifth + 1 octave), but meets it precisely. In a purely tuned system, the thirds would exceed 3:1 by what is known as the small diesis, (a ratio 3125/3072, about thirty cents). This temperament, then, brings (almost) pure thirds and pure fifths together. Cameron Bobro</em><br /> | |||
<br /> | |||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/EveningHorizon_CBobro.mp3" rel="nofollow">Evening Horizon</a><br /> | |||
<em>The earliest implementation (by happy accident, it seems) of this temperament was, to my knowledge, by Paul von Janko over a century ago. More recently, an online tuning community has elaborated many precise variations, calling the temperament &quot;magic&quot;.. This piece is a demonstration of the array of pitches created by using 22 generators (the slightly tempered 5:4) within the octave, an approach which creates a &quot;moment of symmetry&quot;, with all pitches separated by the same two intervals. This has many curious repercussions, creating some musical possibilities and restricting others. Cameron Bobro</em></body></html></pre></div> | |||