Gallery of 12-tone just intonation scales: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 206517836 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 206519696 - 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>2011-03-02 11:59:22 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-02 12:03:43 UTC</tt>.<br>
: The original revision id was <tt>206517836</tt>.<br>
: The original revision id was <tt>206519696</tt>.<br>
: The revision comment was: <tt></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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* [[sevish]] Sean "Sevish" Archibald's "Trapped in a Cycle" scale
* [[sevish]] Sean "Sevish" Archibald's "Trapped in a Cycle" scale
* [[Secor5_23TX]] George Secor's synchronous 5/23-comma temperament extraordinaire
* [[Secor5_23TX]] George Secor's synchronous 5/23-comma temperament extraordinaire
* [[bicycle]] George Secor's 13-limit harmonic bicycle
* [[bicycle]] George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle
* [[harrison_cinna]] Lou Harrison, "Incidental Music for Corneille's Cinna"</pre></div>
* [[harrison_cinna]] Lou Harrison, "Incidental Music for Corneille's Cinna"</pre></div>
<h4>Original HTML content:</h4>
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One approach that interests me is to map an octave-repeating 12-tone JI scale to a keyboard. Of course, there are an infinite number of possible 12-tone JI scales. This page is my attempt to collect some. Please feel free to add more or make corrections as you discover them or invent them!&lt;br /&gt;
One approach that interests me is to map an octave-repeating 12-tone JI scale to a keyboard. Of course, there are an infinite number of possible 12-tone JI scales. This page is my attempt to collect some. Please feel free to add more or make corrections as you discover them or invent them!&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/otones12-24"&gt;otones 12-24&lt;/a&gt; a.k.a. Mode 12 of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;Harmonic Series&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/genovese_12"&gt;genovese_12&lt;/a&gt; Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/centaur"&gt;centaur&lt;/a&gt;, a 7-limit tuning &lt;a class="wiki_link_ext" href="http://www.anaphoria.com/centaur.html" rel="nofollow"&gt;discovered by Kraig Grady&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/nofives"&gt;nofives&lt;/a&gt; a 3 &amp;amp; 7 scale discovered by Gene Ward Smith&lt;ul&gt;&lt;li&gt;see &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=n7mxHWdkV04" rel="nofollow"&gt;this piano improvisation&lt;/a&gt; by Aaron Krister Johnson.&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/duohex"&gt;duohex&lt;/a&gt; a scale with two hexanies&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dwarf12_7"&gt;dwarf12_7&lt;/a&gt; the 7-limit 12-note dwarf&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dwarf12_11"&gt;dwarf12_11&lt;/a&gt; the 11-limit 12-note dwarf&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/breedball3"&gt;breedball3&lt;/a&gt; the third breed ball around 49/40-7/4&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool1"&gt;12highschool1&lt;/a&gt; first 12-note highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool2"&gt;12highschool2&lt;/a&gt; second 12-note highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahn12"&gt;hahn12&lt;/a&gt; Hahn-reduced 12 note scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hexy"&gt;hexy&lt;/a&gt; maximized 9-limit harmony containing a hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bihexany"&gt;bihexany&lt;/a&gt; Hole around [0, 1/2, 1/2, 1/2]&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prism"&gt;prism&lt;/a&gt; Carl Lumma scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pris"&gt;pris&lt;/a&gt; optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/glumma"&gt;glumma&lt;/a&gt; a &amp;lt;12 19 27 34|-epimorphic rectangular scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/rectoo"&gt;rectoo&lt;/a&gt; Hahn reduced circle of fifths via &amp;lt;12 19 27 34|&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/blue-ji"&gt;blue-ji&lt;/a&gt; John O'Sullivan and Carl Lumma&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/wilson_class"&gt;wilson_class&lt;/a&gt; Erv Wilson's class&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stelhex"&gt;stelhex&lt;/a&gt; Stellated two out of 1 3 5 7 hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stelhex2"&gt;stelhex2&lt;/a&gt; Stellated two out of 1 3 5 9 hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stexhex5"&gt;stexhex5&lt;/a&gt; Stellated two out of 1 3 7 9 hexany, stellation is degenerate&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Max%20scales"&gt;Max scales&lt;/a&gt; 31 dyads 26 triads 6 tetrads 2 pentads&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/carlos_harm"&gt;carlos_harm&lt;/a&gt; Wendy Carlos Harmonic Scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/young-lm_piano"&gt;young-lm_piano&lt;/a&gt; La Monte Young's scale from The Well-Tuned Piano&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/steel"&gt;steel&lt;/a&gt; an 11-limit tuning discovered by Lou Harrison and Bill Slye&lt;ul&gt;&lt;li&gt;see David B. Doty's &lt;a class="wiki_link_ext" href="http://www.dbdoty.com/SteelSuiteIntro.html" rel="nofollow"&gt;Steel Suite&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/serafini-11"&gt;serafini-11&lt;/a&gt; Serafini's &lt;a class="wiki_link_ext" href="http://electro-music.com/forum/topic-14631.html" rel="nofollow"&gt;11's chromatic scale&lt;/a&gt;, an 11-limit tuning discovered by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/harrisonm_rev"&gt;harrisonm_rev&lt;/a&gt; Michael Harrison's &lt;a class="wiki_link_ext" href="http://www.michaelharrison.com/harmonic-tunings.html" rel="nofollow"&gt;Revelation Tuning&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sonbirkezsorted"&gt;sonbirkezsorted&lt;/a&gt; Sonbirkez Huzzam scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/mohajira-to-slendro"&gt;mohajira-to-slendro&lt;/a&gt; Dudon's &amp;quot;From Mohajira to Aeolian and Slendros&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sevish"&gt;sevish&lt;/a&gt; Sean &amp;quot;Sevish&amp;quot; Archibald's &amp;quot;Trapped in a Cycle&amp;quot; scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Secor5_23TX"&gt;Secor5_23TX&lt;/a&gt; George Secor's synchronous 5/23-comma temperament extraordinaire&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bicycle"&gt;bicycle&lt;/a&gt; George Secor's 13-limit harmonic bicycle&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/harrison_cinna"&gt;harrison_cinna&lt;/a&gt; Lou Harrison, &amp;quot;Incidental Music for Corneille's Cinna&amp;quot;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/otones12-24"&gt;otones 12-24&lt;/a&gt; a.k.a. Mode 12 of the &lt;a class="wiki_link" href="/OverToneSeries"&gt;Harmonic Series&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/genovese_12"&gt;genovese_12&lt;/a&gt; Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/centaur"&gt;centaur&lt;/a&gt;, a 7-limit tuning &lt;a class="wiki_link_ext" href="http://www.anaphoria.com/centaur.html" rel="nofollow"&gt;discovered by Kraig Grady&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/nofives"&gt;nofives&lt;/a&gt; a 3 &amp;amp; 7 scale discovered by Gene Ward Smith&lt;ul&gt;&lt;li&gt;see &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=n7mxHWdkV04" rel="nofollow"&gt;this piano improvisation&lt;/a&gt; by Aaron Krister Johnson.&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/duohex"&gt;duohex&lt;/a&gt; a scale with two hexanies&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dwarf12_7"&gt;dwarf12_7&lt;/a&gt; the 7-limit 12-note dwarf&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dwarf12_11"&gt;dwarf12_11&lt;/a&gt; the 11-limit 12-note dwarf&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/breedball3"&gt;breedball3&lt;/a&gt; the third breed ball around 49/40-7/4&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool1"&gt;12highschool1&lt;/a&gt; first 12-note highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool2"&gt;12highschool2&lt;/a&gt; second 12-note highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahn12"&gt;hahn12&lt;/a&gt; Hahn-reduced 12 note scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hexy"&gt;hexy&lt;/a&gt; maximized 9-limit harmony containing a hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bihexany"&gt;bihexany&lt;/a&gt; Hole around [0, 1/2, 1/2, 1/2]&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prism"&gt;prism&lt;/a&gt; Carl Lumma scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pris"&gt;pris&lt;/a&gt; optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/glumma"&gt;glumma&lt;/a&gt; a &amp;lt;12 19 27 34|-epimorphic rectangular scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/rectoo"&gt;rectoo&lt;/a&gt; Hahn reduced circle of fifths via &amp;lt;12 19 27 34|&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/blue-ji"&gt;blue-ji&lt;/a&gt; John O'Sullivan and Carl Lumma&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/wilson_class"&gt;wilson_class&lt;/a&gt; Erv Wilson's class&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stelhex"&gt;stelhex&lt;/a&gt; Stellated two out of 1 3 5 7 hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stelhex2"&gt;stelhex2&lt;/a&gt; Stellated two out of 1 3 5 9 hexany&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stexhex5"&gt;stexhex5&lt;/a&gt; Stellated two out of 1 3 7 9 hexany, stellation is degenerate&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Max%20scales"&gt;Max scales&lt;/a&gt; 31 dyads 26 triads 6 tetrads 2 pentads&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/carlos_harm"&gt;carlos_harm&lt;/a&gt; Wendy Carlos Harmonic Scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/young-lm_piano"&gt;young-lm_piano&lt;/a&gt; La Monte Young's scale from The Well-Tuned Piano&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/steel"&gt;steel&lt;/a&gt; an 11-limit tuning discovered by Lou Harrison and Bill Slye&lt;ul&gt;&lt;li&gt;see David B. Doty's &lt;a class="wiki_link_ext" href="http://www.dbdoty.com/SteelSuiteIntro.html" rel="nofollow"&gt;Steel Suite&lt;/a&gt;.&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/serafini-11"&gt;serafini-11&lt;/a&gt; Serafini's &lt;a class="wiki_link_ext" href="http://electro-music.com/forum/topic-14631.html" rel="nofollow"&gt;11's chromatic scale&lt;/a&gt;, an 11-limit tuning discovered by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/harrisonm_rev"&gt;harrisonm_rev&lt;/a&gt; Michael Harrison's &lt;a class="wiki_link_ext" href="http://www.michaelharrison.com/harmonic-tunings.html" rel="nofollow"&gt;Revelation Tuning&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sonbirkezsorted"&gt;sonbirkezsorted&lt;/a&gt; Sonbirkez Huzzam scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/mohajira-to-slendro"&gt;mohajira-to-slendro&lt;/a&gt; Dudon's &amp;quot;From Mohajira to Aeolian and Slendros&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sevish"&gt;sevish&lt;/a&gt; Sean &amp;quot;Sevish&amp;quot; Archibald's &amp;quot;Trapped in a Cycle&amp;quot; scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Secor5_23TX"&gt;Secor5_23TX&lt;/a&gt; George Secor's synchronous 5/23-comma temperament extraordinaire&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bicycle"&gt;bicycle&lt;/a&gt; George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/harrison_cinna"&gt;harrison_cinna&lt;/a&gt; Lou Harrison, &amp;quot;Incidental Music for Corneille's Cinna&amp;quot;&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>