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Wikispaces>lobawad
**Imported revision 394642110 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 394649608 - Original comment: Reverted to Nov 3, 2012 11:49 am: I don't know what the hell Cameron thinks he is doing**
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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:lobawad|lobawad]] and made on <tt>2012-12-26 10:06:31 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-12-26 11:44:27 UTC</tt>.<br>
: The original revision id was <tt>394642110</tt>.<br>
: The original revision id was <tt>394649608</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Reverted to Nov 3, 2012 11:49 am: I don't know what the hell Cameron thinks he is doing</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]] &lt;span class="skype_pnh_print_container_1356533824"&gt;3125/3072&lt;/span&gt;&lt;span class="skype_pnh_container"&gt;&lt;span class="skype_pnh_mark"&gt; begin_of_the_skype_highlighting&lt;/span&gt; &lt;span class="skype_pnh_highlighting_inactive_common"&gt;&lt;span class="skype_pnh_textarea_span"&gt;[[image:chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png]]&lt;span class="skype_pnh_free_text_span"&gt;FREE &lt;/span&gt;&lt;span class="skype_pnh_text_span"&gt;3125/3072&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="skype_pnh_mark"&gt;end_of_the_skype_highlighting&lt;/span&gt;&lt;/span&gt; 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]] 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.)


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/Magical_Daydream_CBobro.mp3|Magical Daydream]]//
[[http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3|Magical Thinking]]
//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 &lt;span class="skype_pnh_print_container_1356533824"&gt;3125/3072&lt;/span&gt;&lt;span class="skype_pnh_container"&gt;&lt;span class="skype_pnh_mark"&gt; begin_of_the_skype_highlighting&lt;/span&gt; &lt;span class="skype_pnh_highlighting_inactive_common"&gt;&lt;span class="skype_pnh_textarea_span"&gt;[[image:chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png]]&lt;span class="skype_pnh_free_text_span"&gt;FREE &lt;/span&gt;&lt;span class="skype_pnh_text_span"&gt;3125/3072&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="skype_pnh_mark"&gt;end_of_the_skype_highlighting&lt;/span&gt;&lt;/span&gt;, about thirty cents). This temperament, then, brings (almost) pure thirds and pure fifths together. Cameron Bobro//
//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/EveningHorizon_CBobro.mp3|Evening Horizon]]//
[[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>
//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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Magic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Magic&lt;/strong&gt; 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 &lt;a class="wiki_link" href="/magic%20comma"&gt;magic comma&lt;/a&gt; &lt;span class="skype_pnh_print_container_1356533824"&gt;3125/3072&lt;/span&gt;&lt;span class="skype_pnh_container"&gt;&lt;span class="skype_pnh_mark"&gt; begin_of_the_skype_highlighting&lt;/span&gt; &lt;span class="skype_pnh_highlighting_inactive_common"&gt;&lt;span class="skype_pnh_textarea_span"&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:166:&amp;lt;img src=&amp;quot;chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;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" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:166 --&gt;&lt;span class="skype_pnh_free_text_span"&gt;FREE &lt;/span&gt;&lt;span class="skype_pnh_text_span"&gt;3125/3072&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="skype_pnh_mark"&gt;end_of_the_skype_highlighting&lt;/span&gt;&lt;/span&gt; is tempered out, making it a member of the &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;. 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 &lt;a class="wiki_link" href="/Magic%20family#Muggles"&gt;muggles&lt;/a&gt;, but there's basically no reason to use it unless you're using &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, in which case it's identical to magic anyway.)&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Magic&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;Magic&lt;/strong&gt; 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 &lt;a class="wiki_link" href="/magic%20comma"&gt;magic comma&lt;/a&gt; 3125/3072 is tempered out, making it a member of the &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic family&lt;/a&gt;. 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 &lt;a class="wiki_link" href="/Magic%20family#Muggles"&gt;muggles&lt;/a&gt;, but there's basically no reason to use it unless you're using &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, in which case it's identical to magic anyway.)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
EDOs that contain good magic scales include &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; and &lt;a class="wiki_link" href="/104edo"&gt;104edo&lt;/a&gt;.&lt;br /&gt;
EDOs that contain good magic scales include &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt; and &lt;a class="wiki_link" href="/104edo"&gt;104edo&lt;/a&gt;.&lt;br /&gt;
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  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Music&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Music&lt;/h1&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/magic16"&gt;magic16&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/magic16"&gt;magic16&lt;/a&gt;&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow"&gt;A Piece in Paulsmagic&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow"&gt;A Piece in Paulsmagic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/paulsmagic"&gt;paulsmagic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/paulsmagic"&gt;paulsmagic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; &lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Thinking_CBobro.mp3" rel="nofollow"&gt;Magical Thinking&lt;/a&gt;&lt;br /&gt;
&lt;em&gt;A brief example of using &amp;quot;magic temperament&amp;quot; &lt;!-- ws:start:WikiTextUrlRule:269:http://xenharmonic.wikispaces.com/Magic+family --&gt;&lt;a href="http://xenharmonic.wikispaces.com/Magic+family"&gt;http://xenharmonic.wikispaces.com/Magic+family&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:269 --&gt; &lt;br /&gt;
to equate the intervals 36/35 and 25/24 into one &amp;quot;semitone&amp;quot; step, specifically to distinguish between seventh chords using 7:4 and 9:5, i.e. harmonic 4:5:6:7 chords and traditional &amp;quot;dominant&amp;quot; chords tuned with a 6:5 above the 3:2. For analog organ and faded chrysanthemum-Cameron Bobro&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3" rel="nofollow"&gt;Magical Daydream&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/Magical_Daydream_CBobro.mp3" rel="nofollow"&gt;Magical Daydream&lt;/a&gt;&lt;br /&gt;
&lt;em&gt;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 &lt;span class="skype_pnh_print_container_1356533824"&gt;3125/3072&lt;/span&gt;&lt;span class="skype_pnh_container"&gt;&lt;span class="skype_pnh_mark"&gt; begin_of_the_skype_highlighting&lt;/span&gt; &lt;span class="skype_pnh_highlighting_inactive_common"&gt;&lt;span class="skype_pnh_textarea_span"&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:167:&amp;lt;img src=&amp;quot;chrome-extension://lifbcibllhkdhoafpjfnlhfpfgnpldfl/numbers_button_skype_logo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;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" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:167 --&gt;&lt;span class="skype_pnh_free_text_span"&gt;FREE &lt;/span&gt;&lt;span class="skype_pnh_text_span"&gt;3125/3072&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="skype_pnh_mark"&gt;end_of_the_skype_highlighting&lt;/span&gt;&lt;/span&gt;, about thirty cents). This temperament, then, brings (almost) pure thirds and pure fifths together. Cameron Bobro&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;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&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/EveningHorizon_CBobro.mp3" rel="nofollow"&gt;Evening Horizon&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Bobro/EveningHorizon_CBobro.mp3" rel="nofollow"&gt;Evening Horizon&lt;/a&gt;&lt;br /&gt;
&lt;em&gt;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 &amp;quot;magic&amp;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 &amp;quot;moment of symmetry&amp;quot;, with all pitches separated by the same two intervals. This has many curious repercussions, creating some musical possibilities and restricting others. Cameron Bobro&lt;/em&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;em&gt;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 &amp;quot;magic&amp;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 &amp;quot;moment of symmetry&amp;quot;, with all pitches separated by the same two intervals. This has many curious repercussions, creating some musical possibilities and restricting others. Cameron Bobro&lt;/em&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/Magic"