Gallery of 12-tone just intonation scales: Difference between revisions
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Wikispaces>Andrew_Heathwaite **Imported revision 153889217 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-07-24 17: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-07-24 17:57:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>153889313</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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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! | 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! | ||
* [[otones 12-24]] a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]: 1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/16, 2/1 | * [[otones12-24|otones 12-24]] a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]: 1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/16, 2/1 | ||
* [[http://www.anaphoria.com/centaur.html|Centaur]], a 7-limit tuning discovered by Kraig Grady: 1/1, 21/20, 9/8, 7/6, 5/4, 4/3, 7/5, 3/2, 14/9, 5/3, 7/4, 15/8, 2/1 | * [[http://www.anaphoria.com/centaur.html|Centaur]], a 7-limit tuning discovered by Kraig Grady: 1/1, 21/20, 9/8, 7/6, 5/4, 4/3, 7/5, 3/2, 14/9, 5/3, 7/4, 15/8, 2/1 | ||
* a 3 & 7 scale discovered by Gene Ward Smith (does it have a name?): 1/1, 28/27, 9/8, 7/6, 9/7, 4/3, 49/36, 3/2, 14/9, 12/7, 7/4, 49/27, 2/1 | * a 3 & 7 scale discovered by Gene Ward Smith (does it have a name?): 1/1, 28/27, 9/8, 7/6, 9/7, 4/3, 49/36, 3/2, 14/9, 12/7, 7/4, 49/27, 2/1 | ||
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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!<br /> | 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!<br /> | ||
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<ul><li><a class="wiki_link" href="/ | <ul><li><a class="wiki_link" href="/otones12-24">otones 12-24</a> a.k.a. Mode 12 of the <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a>: 1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/16, 2/1</li><li><a class="wiki_link_ext" href="http://www.anaphoria.com/centaur.html" rel="nofollow">Centaur</a>, a 7-limit tuning discovered by Kraig Grady: 1/1, 21/20, 9/8, 7/6, 5/4, 4/3, 7/5, 3/2, 14/9, 5/3, 7/4, 15/8, 2/1</li><li>a 3 &amp; 7 scale discovered by Gene Ward Smith (does it have a name?): 1/1, 28/27, 9/8, 7/6, 9/7, 4/3, 49/36, 3/2, 14/9, 12/7, 7/4, 49/27, 2/1<ul><li>see <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=n7mxHWdkV04" rel="nofollow">this piano improvisation</a> by Aaron Krister Johnson.</li></ul></li><li>Wendy Carlos Harmonic Scale: 1/1, 17/16, 9/8, 19/16, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8</li><li>La Monte Young's scale from The Well-Tuned Piano: 1/1, 567/512, 9/8, 147/128, 21/16, 1323/1024, 189/128, 3/2, 49/32, 7/4, 441/256, 63/32, 2/1</li><li>an 11-limit tuning discovered by Lou Harrison and Bill Slye: 1/1, 28/27, 9/8, 7/6, 5/4, 4/3, 11/8, 3/2, 14/9, 5/3, 7/4, 11/6, 2/1<ul><li>see David B. Doty's <a class="wiki_link_ext" href="http://www.dbdoty.com/SteelSuiteIntro.html" rel="nofollow">Steel Suite</a>.</li></ul></li><li><a class="wiki_link" href="/Rodan">Rodan</a>, a 13-limit tuning discovered by Andrew Heathwaite: 1/1, 33/32, 9/8, 39/32, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8, 2/1</li></ul></body></html></pre></div> | ||
Revision as of 17:57, 24 July 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2010-07-24 17:57:07 UTC.
- The original revision id was 153889313.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Just Intonation is an infinite universe. You can have a JI scale with two tones or a trillion. I ([[user:Andrew_Heathwaite|1280008569]]) have an interest in JI scales large & small. A just-intoned pentatonic can be very effective in th hands of a sensitive composer. 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! * [[otones12-24|otones 12-24]] a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]: 1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/16, 2/1 * [[http://www.anaphoria.com/centaur.html|Centaur]], a 7-limit tuning discovered by Kraig Grady: 1/1, 21/20, 9/8, 7/6, 5/4, 4/3, 7/5, 3/2, 14/9, 5/3, 7/4, 15/8, 2/1 * a 3 & 7 scale discovered by Gene Ward Smith (does it have a name?): 1/1, 28/27, 9/8, 7/6, 9/7, 4/3, 49/36, 3/2, 14/9, 12/7, 7/4, 49/27, 2/1 ** see [[http://www.youtube.com/watch?v=n7mxHWdkV04|this piano improvisation]] by Aaron Krister Johnson. * Wendy Carlos Harmonic Scale: 1/1, 17/16, 9/8, 19/16, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8 * La Monte Young's scale from The Well-Tuned Piano: 1/1, 567/512, 9/8, 147/128, 21/16, 1323/1024, 189/128, 3/2, 49/32, 7/4, 441/256, 63/32, 2/1 * an 11-limit tuning discovered by Lou Harrison and Bill Slye: 1/1, 28/27, 9/8, 7/6, 5/4, 4/3, 11/8, 3/2, 14/9, 5/3, 7/4, 11/6, 2/1 ** see David B. Doty's [[http://www.dbdoty.com/SteelSuiteIntro.html|Steel Suite]]. * [[Rodan]], a 13-limit tuning discovered by Andrew Heathwaite: 1/1, 33/32, 9/8, 39/32, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8, 2/1
Original HTML content:
<html><head><title>Gallery of 12-tone Just Intonation Scales</title></head><body>Just Intonation is an infinite universe. You can have a JI scale with two tones or a trillion. I (<!-- ws:start:WikiTextUserlinkRule:00:[[user:Andrew_Heathwaite|1280008569]] --><span class="membersnap">- <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;"><img src="http://www.wikispaces.com/user/pic/Andrew_Heathwaite-lg.jpg" width="16" height="16" alt="Andrew_Heathwaite" class="userPicture" /></a> <a class="userLink" href="http://www.wikispaces.com/user/view/Andrew_Heathwaite" style="outline: none;">Andrew_Heathwaite</a> <small>Jul 24, 2010</small></span><!-- ws:end:WikiTextUserlinkRule:00 -->) have an interest in JI scales large & small. A just-intoned pentatonic can be very effective in th hands of a sensitive composer.<br /> <br /> 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!<br /> <br /> <ul><li><a class="wiki_link" href="/otones12-24">otones 12-24</a> a.k.a. Mode 12 of the <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a>: 1/1, 13/12, 7/6, 5/4, 4/3, 17/12, 3/2, 19/12, 5/3, 7/4, 11/6, 23/16, 2/1</li><li><a class="wiki_link_ext" href="http://www.anaphoria.com/centaur.html" rel="nofollow">Centaur</a>, a 7-limit tuning discovered by Kraig Grady: 1/1, 21/20, 9/8, 7/6, 5/4, 4/3, 7/5, 3/2, 14/9, 5/3, 7/4, 15/8, 2/1</li><li>a 3 & 7 scale discovered by Gene Ward Smith (does it have a name?): 1/1, 28/27, 9/8, 7/6, 9/7, 4/3, 49/36, 3/2, 14/9, 12/7, 7/4, 49/27, 2/1<ul><li>see <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=n7mxHWdkV04" rel="nofollow">this piano improvisation</a> by Aaron Krister Johnson.</li></ul></li><li>Wendy Carlos Harmonic Scale: 1/1, 17/16, 9/8, 19/16, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8</li><li>La Monte Young's scale from The Well-Tuned Piano: 1/1, 567/512, 9/8, 147/128, 21/16, 1323/1024, 189/128, 3/2, 49/32, 7/4, 441/256, 63/32, 2/1</li><li>an 11-limit tuning discovered by Lou Harrison and Bill Slye: 1/1, 28/27, 9/8, 7/6, 5/4, 4/3, 11/8, 3/2, 14/9, 5/3, 7/4, 11/6, 2/1<ul><li>see David B. Doty's <a class="wiki_link_ext" href="http://www.dbdoty.com/SteelSuiteIntro.html" rel="nofollow">Steel Suite</a>.</li></ul></li><li><a class="wiki_link" href="/Rodan">Rodan</a>, a 13-limit tuning discovered by Andrew Heathwaite: 1/1, 33/32, 9/8, 39/32, 5/4, 21/16, 11/8, 3/2, 13/8, 27/16, 7/4, 15/8, 2/1</li></ul></body></html>