Magic: Difference between revisions
Wikispaces>genewardsmith **Imported revision 378902150 - Original comment: ** |
Wikispaces>lobawad **Imported revision 394642110 - 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:lobawad|lobawad]] and made on <tt>2012-12-26 10:06:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>394642110</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">**Magic** 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 [[magic comma]] 3125/3072 is tempered out, making it a member of the [[Magic family]]. 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 [[Magic family#Muggles|muggles]], but there's basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.) | <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">**Magic** 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 [[magic comma]] <span class="skype_pnh_print_container_1356533824">3125/3072</span><span class="skype_pnh_container"><span class="skype_pnh_mark"> begin_of_the_skype_highlighting</span> <span class="skype_pnh_highlighting_inactive_common"><span class="skype_pnh_textarea_span">[[image:chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png]]<span class="skype_pnh_free_text_span">FREE </span><span class="skype_pnh_text_span">3125/3072</span></span></span><span class="skype_pnh_mark">end_of_the_skype_highlighting</span></span> is tempered out, making it a member of the [[Magic family]]. 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 [[Magic family#Muggles|muggles]], but there's basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.) | ||
EDOs that contain good magic scales include [[19edo]], [[22edo]], [[41edo]] and [[104edo]]. | EDOs that contain good magic scales include [[19edo]], [[22edo]], [[41edo]] and [[104edo]]. | ||
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=[[Chords of magic]]= | =[[Chords of magic]]= | ||
=Music= | =Music= | ||
[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]] | //[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]// | ||
[[magic16]] | [[magic16]] | ||
[[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]] | [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] | ||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/ | //[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3|Magical Daydream]]// | ||
//A brief | //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 <span class="skype_pnh_print_container_1356533824">3125/3072</span><span class="skype_pnh_container"><span class="skype_pnh_mark"> begin_of_the_skype_highlighting</span> <span class="skype_pnh_highlighting_inactive_common"><span class="skype_pnh_textarea_span">[[image:chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png]]<span class="skype_pnh_free_text_span">FREE </span><span class="skype_pnh_text_span">3125/3072</span></span></span><span class="skype_pnh_mark">end_of_the_skype_highlighting</span></span>, 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]]// | |||
[[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> | //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> <span class="skype_pnh_print_container_1356533824">3125/3072</span><span class="skype_pnh_container"><span class="skype_pnh_mark"> begin_of_the_skype_highlighting</span> <span class="skype_pnh_highlighting_inactive_common"><span class="skype_pnh_textarea_span"><!-- ws:start:WikiTextRemoteImageRule:166:&lt;img src=&quot;chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png" alt="external image numbers_button_skype_logo.png" title="external image numbers_button_skype_logo.png" /><!-- ws:end:WikiTextRemoteImageRule:166 --><span class="skype_pnh_free_text_span">FREE </span><span class="skype_pnh_text_span">3125/3072</span></span></span><span class="skype_pnh_mark">end_of_the_skype_highlighting</span></span> 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 /> | ||
<br /> | <br /> | ||
EDOs that contain good magic scales include <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and <a class="wiki_link" href="/104edo">104edo</a>.<br /> | EDOs that contain good magic scales include <a class="wiki_link" href="/19edo">19edo</a>, <a class="wiki_link" href="/22edo">22edo</a>, <a class="wiki_link" href="/41edo">41edo</a> and <a class="wiki_link" href="/104edo">104edo</a>.<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:6 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:6 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a><br /> | <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></em><br /> | ||
<a class="wiki_link" href="/magic16">magic16</a><br /> | <a class="wiki_link" href="/magic16">magic16</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 /> | <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow">A Piece in Paulsmagic</a></em><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 | <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | ||
<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 class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3" rel="nofollow">Magical Daydream</a></em><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 /> | <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 <span class="skype_pnh_print_container_1356533824">3125/3072</span><span class="skype_pnh_container"><span class="skype_pnh_mark"> begin_of_the_skype_highlighting</span> <span class="skype_pnh_highlighting_inactive_common"><span class="skype_pnh_textarea_span"><!-- ws:start:WikiTextRemoteImageRule:167:&lt;img src=&quot;chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png" alt="external image numbers_button_skype_logo.png" title="external image numbers_button_skype_logo.png" /><!-- ws:end:WikiTextRemoteImageRule:167 --><span class="skype_pnh_free_text_span">FREE </span><span class="skype_pnh_text_span">3125/3072</span></span></span><span class="skype_pnh_mark">end_of_the_skype_highlighting</span></span>, about thirty cents). This temperament, then, brings (almost) pure thirds and pure fifths together. Cameron Bobro</em><br /> | ||
<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><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/EveningHorizon_CBobro.mp3" rel="nofollow">Evening Horizon</a></em><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> | <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> | ||