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