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

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Just Intonation is an infinite universe. A justly-intoned pentatonic can be very effective in the hands of a sensitive composer, and in this electronic age that same composer on another day can use a scale with hundreds of notes in an octave.
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>2014-11-25 11:20:40 UTC</tt>.<br>
: The original revision id was <tt>532631624</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>
<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">Just Intonation is an infinite universe. A justly-intoned pentatonic can be very effective in the hands of a sensitive composer, and in this electronic age that same composer on another day can use a scale with hundreds of notes in an octave.


One approach to making just intonation not only practical but easy is to map an [[Periodic scale|octave-repeating]] 12-tone JI scale to a standard keyboard. This page collects some of these scales, and a [[Gallery of 12-tone Tempered Scales|companion page]] does the same for tempered scales.
One approach to making just intonation not only practical but easy is to map an [[Periodic_scale|octave-repeating]] 12-tone JI scale to a standard keyboard. This page collects some of these scales, and a [[Gallery_of_12-tone_Tempered_Scales|companion page]] does the same for tempered scales.


* [[12highschool1]] - first 12-note highschool scale
<ul><li>[[12highschool1|12highschool1]] - first 12-note highschool scale</li><li>[[12highschool2|12highschool2]] - second 12-note highschool scale</li><li>[[44_39-12|44_39-12]] - 12-note chromatic tuning with 352:351, 364:363 by Margo Schulter</li><li>[[pre-archytas|pre-archytas]] - tuning by Gene Ward Smith<ul><li>Chris Vaisvil, [http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3 Just Zither Me] [http://chrisvaisvil.com/?p=983 (details)]</li></ul></li><li>[[augdommean|augdommean]] - Fokkerization of Centaur</li><li>[[barton|barton]] - Jacob Barton, tetratetradic scale on 6:7:9:11</li><li>[[bicycle|bicycle]] - George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle</li><li>[[biggulp|biggulp]] - Big Gulp tuning<ul><li>Chris Vaisvil, [http://micro.soonlabel.com/tuning-survey/daily20100611-Big%20Gulp.mp3 improv] [http://chrisvaisvil.com/?p=164 (details)]</li></ul></li><li>[[bihexany|bihexany]] - hole around [0, 1/2, 1/2, 1/2]</li><li>[[blue-ji|blue-ji]] - John O'Sullivan and Carl Lumma<ul><li>[http://alonetone.com/vaisvil/tracks/sweeneys-agony-remix-by-johnny-pumphandle.mp3 Sweeney's Agony]</li><li>[http://micro.soonlabel.com/blue-tuning/daily20110119-atonement-in-blue-JI.mp3 Atonement to a Centaur]</li></ul></li><li>[[bluesji|bluesji]] - Graham Breed's Blues scale in a 7-limit JI version</li><li>[[breedball3|breedball3]] - the third breed ball around 49/40-7/4</li><li>[[canton|canton]] - a 2.3.11/7.13/7 subgroup scale</li><li>[[carlos_harm|carlos_harm]] - [[Wendy_Carlos|Wendy Carlos]] Harmonic Scale<ul><li>Chris Vaisvil, [http://micro.soonlabel.com/carlos-harmonic/daily20090806-piano-valles-marineris-harmonic-wah.mp3 Valles Marineris]</li></ul></li><li>[[centaur|centaur]] - a 7-limit tuning [http://www.anaphoria.com/centaur.html discovered by Kraig Grady]<ul><li>Chris Vaisvil, [http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3 Centaur’s Pasture]</li></ul></li><li>[[chalmers_ji1.scl|chalmers_ji1.scl]] - based loosely on Wronski's and similar JI scales</li><li>[[collapsar|collapsar]] - an 11-limit patent val superwakalix</li><li>[[cv_scales|cv scales]] - [[Periodic_scale|epimorphic scales]] with three major and two minor tetrads</li><li>[[dekany-cs|dekany-cs]] - [[Combination_product_sets|Cps]]({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima</li><li>[[domdimpajinjschis|domdimpajinjschis]] - superwakalix</li><li>[[domdimpajinjmean|domdimpajinjmean]] - superwakalix, same as miller7, parizek_ji1</li><li>[[duodene|duodene]] - the Ellis duodene = Dwarf(&lt;12 19 28|) = syndie3 = Euler(675) = Gandhar tuning</li><li>[[duodene_skew|duodene_skew]] - rotated duodene = magsyn3</li><li>[[duohex|duohex]] - a scale with two hexanies</li><li>[[dwarf12_7|dwarf12_7]] - the 7-limit 12-note dwarf</li><li>[[dwarf12_11|dwarf12_11]] - the 11-limit 12-note dwarf</li><li>[[genovese_12|genovese_12]] - Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12</li><li>[[glumma|glumma]] - a &lt;12 19 27 34|-epimorphic rectangular scale</li><li>[[hexanys|hexanys]]</li><li>[[hobbit_11_limit|hobbit_11_limit]] - Chris Vaisvil's 11 limit JI hobbit<ul><li>Chris Vaisvil, [http://chrisvaisvil.com/the-forgotten-glory-of-wolfs-motor-court/ The Forgotten Glory of Wolf’s Motor Court] [http://micro.soonlabel.com/hobbit_scales/20130923_hobbit_11_limit.mp3 (play)]</li></ul></li><li>[[locomotive|locomotive]] - a 2.9.11.13 subgroup scale</li><li>[[major_clus|major_clus]] - Chalmers' Major Mode Cluster</li><li>[[major_wing|major_wing]] - Chalmers' Major Wing with 7 major and 6 minor triads</li><li>[[minor_clus|minor_clus]] - Chalmers' Minor Mode Cluster, Genus [333335]</li><li>[[minor_wing|minor_wing]] - Chalmers' Minor Wing with 7 minor and 6 major triads</li><li>[[Max_scales|max scales]] - 31 dyads 26 triads 6 tetrads 2 pentads</li><li>[[mdevelde|mdevelde]] - a 2.3.5.19 subgroup scale</li><li>[[nofives|nofives]] - a 3 &amp; 7 scale discovered by Gene Ward Smith<ul><li>Aaron Krister Johnson, [http://www.youtube.com/watch?v=n7mxHWdkV04 piano improvisation]</li></ul></li><li>[[omaha|omaha]] - a 2.3.11 subgroup scale</li><li>[[otones12-24|otones12-24]] - a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]</li><li>[[part12|part12]] - 9+3=12 partition scale &lt;12 19 27| epimorphic</li><li>[[portsmouth|portsmouth]] - a 2.3.7.11 subgroup scale</li><li>[[prentwind|prentwind]] - [[Prent_Rodgers|Prent Rodgers]]' scale for [http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/prentrodgers+dryholecanyonforwoodwindquintet.mp3 Dry Hole Canyon for Woodwind Quintet]</li><li>[[prism|prism]] - [[Carl_Lumma|Carl Lumma]] scale</li><li>[[pris|pris]] - optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale</li><li>[[ptolex|ptolex]] - [[Jon_Lyle_Smith|Jon Lyle Smith]]'s extended septimal Ptolemy<ul><li>Jon Lyle Smith, [http://www.notonlymusic.com/board/download/file.php?id=1993 Te Deum Laudamus]</li></ul></li><li>[[hahn12|hahn12]] - [[Hahn-reduced|Hahn-reduced]] 12 note scale</li><li>[[hahn_7|hahn_7]] - [[Paul_Hahn|Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99</li><li>[[hahnZ|hahnZ]] - [[Paul_Hahn|Paul Hahn]]'s scale Z, TL '99</li><li>[[harrison_cinna|harrison_cinna]] - [[Lou_Harrison|Lou Harrison]], "Incidental Music for Corneille's Cinna"</li><li>[[harrisonm_rev|harrisonm_rev]] - Michael Harrison's [http://www.michaelharrison.com/harmonic-tunings.html Revelation Tuning]</li><li>[[hexy|hexy]] - maximized 9-limit harmony containing a hexany</li><li>[[johnston|johnston]] - Ben Johnston's combined otonal-utonal 11-limit Fokker block</li><li>[[malcolm|malcolm]] - Alexander Malcolm's Monochord (1721)</li><li>[[malcolm2|malcolm2]] - Alexander Malcolm's 1721 scale</li><li>[[mohajira-to-slendro|mohajira-to-slendro]] - Dudon's "From Mohajira to Aeolian and Slendros"</li><li>[[oljare|oljare]] - Mats Öljare, scale for "Tampere" (2001)</li><li>[[ramis|ramis]] - monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482)<ul><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Impromptu%20in%20F%20Minor.mp3 Impromptu in F Minor] by [[Zach_Curley|Zach Curley]]</li></ul></li><li>[[rectoo|rectoo]] - Hahn reduced circle of fifths via &lt;12 19 27 34|</li><li>[[riley_rosary|riley_rosary]] - Terry Riley, tuning for Cactus Rosary (1993)</li><li>[[Secor5_23TX|Secor5_23TX]] - George Secor's synchronous 5/23-comma temperament extraordinaire</li><li>[[serafini-11|serafini-11]] - Serafini's [http://electro-music.com/forum/topic-14631.html 11's chromatic scale], an 11-limit tuning discovered by [[Carlo_Serafini|Carlo Serafini]]</li><li>[[sevish|sevish]] - Sean "Sevish" Archibald's scale for [http://www.archive.org/download/FNet021/02.Sevish-Trapped_in_a_Cycle.mp3 Trapped in a Cycle]</li><li>[[simp12|simp12]] - Stiltner-Vaisvil 12 note 2.3.5.7.13 scale<ul><li>[http://micro.soonlabel.com/just/JI/simpl10plus13.mp3 Simpl10plus13] by Chris Vaisvil</li></ul></li><li>[[sonbirkezsorted|sonbirkezsorted]] Sonbirkez Huzzam scale</li><li>[[steel|steel]] - an 11-limit tuning discovered by [[Lou_Harrison|Lou Harrison]] and Bill Slye<ul><li>see David B. Doty's [http://www.dbdoty.com/SteelSuiteIntro.html Steel Suite]</li></ul></li><li>[[stelhex|stelhex]] - stellated two out of 1 3 5 7 hexany</li><li>[[stelhex2|stelhex2]] - stellated two out of 1 3 5 9 hexany</li><li>[[stexhex5|stexhex5]] - stellated two out of 1 3 7 9 hexany, stellation is degenerate</li><li>[[terrain|terrain]] - in effect a generated scale in 2.9/5.9/7 subgroup</li><li>[[thirteendene|thirteendene]] - 2.3.5.7.13 marveldene transversal</li><li>[[unimajor|unimajor]] - a 2.3.11/7 subgroup scale</li><li>[[wilson_class|wilson_class]] - [[Erv_Wilson|Erv Wilson]]'s class</li><li>[[wilsonistic|wilsonistic]] - [[Margo_Schulter|Margo Schulter]]'s Wilsonistic Pivot on C<ul><li>Chris Vaisvil, [http://micro.soonlabel.com/just/wilson/daily20101225--wilsonistic_pivot_C-ji.mp3 A Blue Christmas for Erv]</li></ul></li><li>[[yekta|yekta]] - Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia</li><li>[[young-lm_piano|young-lm_piano]]- La Monte Young's scale from "The Well-Tuned Piano"</li><li>[[zeta12|zeta12]] - Margo Schulter's Zeta Centauri tuning, inspired by Kraig Grady's Centaur</li></ul>     [[Category:12-tone]]
* [[12highschool2]] - second 12-note highschool scale
[[Category:gallery]]
* [[44_39-12]] - 12-note chromatic tuning with 352:351, 364:363 by Margo Schulter
[[Category:ji]]
* [[pre-archytas]] - tuning by Gene Ward Smith
[[Category:just]]
** Chris Vaisvil, [[http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3|Just Zither Me]] [[@http://chrisvaisvil.com/?p=983|(details)]]
[[Category:list]]
* [[augdommean]] - Fokkerization of Centaur
[[Category:listen]]
* [[barton]] - Jacob Barton, tetratetradic scale on 6:7:9:11
[[Category:scale]]
* [[bicycle]] - George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle
[[Category:scales]]
* [[biggulp]] - Big Gulp tuning
** Chris Vaisvil, [[http://micro.soonlabel.com/tuning-survey/daily20100611-Big%20Gulp.mp3|improv]] [[http://chrisvaisvil.com/?p=164|(details)]]
* [[bihexany]] - hole around [0, 1/2, 1/2, 1/2]
* [[blue-ji]] - John O'Sullivan and Carl Lumma
** [[http://alonetone.com/vaisvil/tracks/sweeneys-agony-remix-by-johnny-pumphandle.mp3|Sweeney's Agony]]
** [[http://micro.soonlabel.com/blue-tuning/daily20110119-atonement-in-blue-JI.mp3|Atonement to a Centaur]]
* [[bluesji]] - Graham Breed's Blues scale in a 7-limit JI version
* [[breedball3]] - the third breed ball around 49/40-7/4
* [[canton]] - a 2.3.11/7.13/7 subgroup scale
* [[carlos_harm]] - [[Wendy Carlos]] Harmonic Scale
** Chris Vaisvil, [[http://micro.soonlabel.com/carlos-harmonic/daily20090806-piano-valles-marineris-harmonic-wah.mp3|Valles Marineris]]
* [[centaur]] - a 7-limit tuning [[http://www.anaphoria.com/centaur.html|discovered by Kraig Grady]]
** Chris Vaisvil, [[http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3|Centaur’s Pasture]]
* [[chalmers_ji1.scl]] - based loosely on Wronski's and similar JI scales
* [[collapsar]] - an 11-limit patent val superwakalix
* [[cv scales]] - [[Periodic scale|epimorphic scales]] with three major and two minor tetrads
* [[dekany-cs]] - [[Combination product sets|Cps]]({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima
* [[domdimpajinjschis]] - superwakalix
* [[domdimpajinjmean]] - superwakalix, same as miller7, parizek_ji1
* [[duodene]] - the Ellis duodene = Dwarf(&lt;12 19 28|) = syndie3 = Euler(675) = Gandhar tuning
* [[duodene_skew]] - rotated duodene = magsyn3
* [[duohex]] - a scale with two hexanies
* [[dwarf12_7]] - the 7-limit 12-note dwarf
* [[dwarf12_11]] - the 11-limit 12-note dwarf
* [[genovese_12]] - Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12
* [[glumma]] - a &lt;12 19 27 34|-epimorphic rectangular scale
* [[hexanys]]
* [[hobbit_11_limit]] - Chris Vaisvil's 11 limit JI hobbit
** Chris Vaisvil, [[http://chrisvaisvil.com/the-forgotten-glory-of-wolfs-motor-court/|The Forgotten Glory of Wolf’s Motor Court]] [[http://micro.soonlabel.com/hobbit_scales/20130923_hobbit_11_limit.mp3|(play)]]
* [[locomotive]] - a 2.9.11.13 subgroup scale
* [[major_clus]] - Chalmers' Major Mode Cluster
* [[major_wing]] - Chalmers' Major Wing with 7 major and 6 minor triads
* [[minor_clus]] - Chalmers' Minor Mode Cluster, Genus [333335]
* [[minor_wing]] - Chalmers' Minor Wing with 7 minor and 6 major triads
* [[max scales]] - 31 dyads 26 triads 6 tetrads 2 pentads
* [[mdevelde]] - a 2.3.5.19 subgroup scale
* [[nofives]] - a 3 &amp; 7 scale discovered by Gene Ward Smith
** Aaron Krister Johnson, [[http://www.youtube.com/watch?v=n7mxHWdkV04|piano improvisation]]
* [[omaha]] - a 2.3.11 subgroup scale
* [[otones12-24]] - a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]
* [[part12]] - 9+3=12 partition scale &lt;12 19 27| epimorphic
* [[portsmouth]] - a 2.3.7.11 subgroup scale
* [[prentwind]] - [[Prent Rodgers]]' scale for [[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/prentrodgers+dryholecanyonforwoodwindquintet.mp3|Dry Hole Canyon for Woodwind Quintet]]
* [[prism]] - [[Carl Lumma]] scale
* [[pris]] - optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale
* [[ptolex]] - [[Jon Lyle Smith]]'s extended septimal Ptolemy
** Jon Lyle Smith, [[http://www.notonlymusic.com/board/download/file.php?id=1993|Te Deum Laudamus]]
* [[hahn12]] - [[Hahn-reduced]] 12 note scale
* [[hahn_7]] - [[Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99
* [[hahnZ]] - [[Paul Hahn]]'s scale Z, TL '99  
* [[harrison_cinna]] - [[Lou Harrison]], "Incidental Music for Corneille's Cinna"
* [[harrisonm_rev]] - Michael Harrison's [[http://www.michaelharrison.com/harmonic-tunings.html|Revelation Tuning]]
* [[hexy]] - maximized 9-limit harmony containing a hexany
* [[johnston]] - Ben Johnston's combined otonal-utonal 11-limit Fokker block
* [[malcolm]] - Alexander Malcolm's Monochord (1721)
* [[malcolm2]] - Alexander Malcolm's 1721 scale
* [[mohajira-to-slendro]] - Dudon's "From Mohajira to Aeolian and Slendros"
* [[oljare]] - Mats Öljare, scale for "Tampere" (2001)
* [[ramis]] - monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482)
** [[http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Impromptu%20in%20F%20Minor.mp3|Impromptu in F Minor]] by [[Zach Curley]]
* [[rectoo]] - Hahn reduced circle of fifths via &lt;12 19 27 34|
* [[riley_rosary]] - Terry Riley, tuning for Cactus Rosary (1993)
* [[Secor5_23TX]] - George Secor's synchronous 5/23-comma temperament extraordinaire
* [[serafini-11]] - Serafini's [[http://electro-music.com/forum/topic-14631.html|11's chromatic scale]], an 11-limit tuning discovered by [[Carlo Serafini]]
* [[sevish]] - Sean "Sevish" Archibald's scale for [[http://www.archive.org/download/FNet021/02.Sevish-Trapped_in_a_Cycle.mp3|Trapped in a Cycle]]
* [[simp12]] - Stiltner-Vaisvil 12 note 2.3.5.7.13 scale
** [[http://micro.soonlabel.com/just/JI/simpl10plus13.mp3|Simpl10plus13]] by Chris Vaisvil
* [[sonbirkezsorted]] Sonbirkez Huzzam scale
* [[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]]
* [[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
* [[terrain]] - in effect a generated scale in 2.9/5.9/7 subgroup
* [[thirteendene]] - 2.3.5.7.13 marveldene transversal
* [[unimajor]] - a 2.3.11/7 subgroup scale
* [[wilson_class]] - [[Erv Wilson]]'s class
* [[wilsonistic]] - [[Margo Schulter]]'s Wilsonistic Pivot on C
** Chris Vaisvil, [[http://micro.soonlabel.com/just/wilson/daily20101225--wilsonistic_pivot_C-ji.mp3|A Blue Christmas for Erv]]
* [[yekta]] - Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia
* [[young-lm_piano]]- La Monte Young's scale from "The Well-Tuned Piano"
* [[zeta12]] - Margo Schulter's Zeta Centauri tuning, inspired by Kraig Grady's Centaur</pre></div>
<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;Gallery of 12-tone Just Intonation Scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Just Intonation is an infinite universe. A justly-intoned pentatonic can be very effective in the hands of a sensitive composer, and in this electronic age that same composer on another day can use a scale with hundreds of notes in an octave.&lt;br /&gt;
&lt;br /&gt;
One approach to making just intonation not only practical but easy is to map an &lt;a class="wiki_link" href="/Periodic%20scale"&gt;octave-repeating&lt;/a&gt; 12-tone JI scale to a standard keyboard. This page collects some of these scales, and a &lt;a class="wiki_link" href="/Gallery%20of%2012-tone%20Tempered%20Scales"&gt;companion page&lt;/a&gt; does the same for tempered scales.&lt;br /&gt;
&lt;br /&gt;
&lt;ul&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="/44_39-12"&gt;44_39-12&lt;/a&gt; - 12-note chromatic tuning with 352:351, 364:363 by Margo Schulter&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pre-archytas"&gt;pre-archytas&lt;/a&gt; - tuning by Gene Ward Smith&lt;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3" rel="nofollow"&gt;Just Zither Me&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=983" rel="nofollow" target="_blank"&gt;(details)&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/augdommean"&gt;augdommean&lt;/a&gt; - Fokkerization of Centaur&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/barton"&gt;barton&lt;/a&gt; - Jacob Barton, tetratetradic scale on 6:7:9:11&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="/biggulp"&gt;biggulp&lt;/a&gt; - Big Gulp tuning&lt;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20100611-Big%20Gulp.mp3" rel="nofollow"&gt;improv&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=164" rel="nofollow"&gt;(details)&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&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="/blue-ji"&gt;blue-ji&lt;/a&gt; - John O'Sullivan and Carl Lumma&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://alonetone.com/vaisvil/tracks/sweeneys-agony-remix-by-johnny-pumphandle.mp3" rel="nofollow"&gt;Sweeney's Agony&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/daily20110119-atonement-in-blue-JI.mp3" rel="nofollow"&gt;Atonement to a Centaur&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bluesji"&gt;bluesji&lt;/a&gt; - Graham Breed's Blues scale in a 7-limit JI version&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="/canton"&gt;canton&lt;/a&gt; - a 2.3.11/7.13/7 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/carlos_harm"&gt;carlos_harm&lt;/a&gt; - &lt;a class="wiki_link" href="/Wendy%20Carlos"&gt;Wendy Carlos&lt;/a&gt; Harmonic Scale&lt;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/carlos-harmonic/daily20090806-piano-valles-marineris-harmonic-wah.mp3" rel="nofollow"&gt;Valles Marineris&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&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;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3" rel="nofollow"&gt;Centaur’s Pasture&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/chalmers_ji1.scl"&gt;chalmers_ji1.scl&lt;/a&gt; - based loosely on Wronski's and similar JI scales&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/collapsar"&gt;collapsar&lt;/a&gt; - an 11-limit patent val superwakalix&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/cv%20scales"&gt;cv scales&lt;/a&gt; - &lt;a class="wiki_link" href="/Periodic%20scale"&gt;epimorphic scales&lt;/a&gt; with three major and two minor tetrads&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dekany-cs"&gt;dekany-cs&lt;/a&gt; - &lt;a class="wiki_link" href="/Combination%20product%20sets"&gt;Cps&lt;/a&gt;({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/domdimpajinjschis"&gt;domdimpajinjschis&lt;/a&gt; - superwakalix&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/domdimpajinjmean"&gt;domdimpajinjmean&lt;/a&gt; - superwakalix, same as miller7, parizek_ji1&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/duodene"&gt;duodene&lt;/a&gt; - the Ellis duodene = Dwarf(&amp;lt;12 19 28|) = syndie3 = Euler(675) = Gandhar tuning&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/duodene_skew"&gt;duodene_skew&lt;/a&gt; - rotated duodene = magsyn3&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="/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="/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="/hexanys"&gt;hexanys&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hobbit_11_limit"&gt;hobbit_11_limit&lt;/a&gt; - Chris Vaisvil's 11 limit JI hobbit&lt;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/the-forgotten-glory-of-wolfs-motor-court/" rel="nofollow"&gt;The Forgotten Glory of Wolf’s Motor Court&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/hobbit_scales/20130923_hobbit_11_limit.mp3" rel="nofollow"&gt;(play)&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/locomotive"&gt;locomotive&lt;/a&gt; - a 2.9.11.13 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/major_clus"&gt;major_clus&lt;/a&gt; - Chalmers' Major Mode Cluster&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/major_wing"&gt;major_wing&lt;/a&gt; - Chalmers' Major Wing with 7 major and 6 minor triads&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/minor_clus"&gt;minor_clus&lt;/a&gt; - Chalmers' Minor Mode Cluster, Genus [333335]&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/minor_wing"&gt;minor_wing&lt;/a&gt; - Chalmers' Minor Wing with 7 minor and 6 major triads&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="/mdevelde"&gt;mdevelde&lt;/a&gt; - a 2.3.5.19 subgroup scale&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;Aaron Krister Johnson, &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=n7mxHWdkV04" rel="nofollow"&gt;piano improvisation&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/omaha"&gt;omaha&lt;/a&gt; - a 2.3.11 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/otones12-24"&gt;otones12-24&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="/part12"&gt;part12&lt;/a&gt; - 9+3=12 partition scale &amp;lt;12 19 27| epimorphic&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/portsmouth"&gt;portsmouth&lt;/a&gt; - a 2.3.7.11 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prentwind"&gt;prentwind&lt;/a&gt; - &lt;a class="wiki_link" href="/Prent%20Rodgers"&gt;Prent Rodgers&lt;/a&gt;' scale for &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/prentrodgers+dryholecanyonforwoodwindquintet.mp3" rel="nofollow"&gt;Dry Hole Canyon for Woodwind Quintet&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prism"&gt;prism&lt;/a&gt; - &lt;a class="wiki_link" href="/Carl%20Lumma"&gt;Carl Lumma&lt;/a&gt; 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="/ptolex"&gt;ptolex&lt;/a&gt; - &lt;a class="wiki_link" href="/Jon%20Lyle%20Smith"&gt;Jon Lyle Smith&lt;/a&gt;'s extended septimal Ptolemy&lt;ul&gt;&lt;li&gt;Jon Lyle Smith, &lt;a class="wiki_link_ext" href="http://www.notonlymusic.com/board/download/file.php?id=1993" rel="nofollow"&gt;Te Deum Laudamus&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahn12"&gt;hahn12&lt;/a&gt; - &lt;a class="wiki_link" href="/Hahn-reduced"&gt;Hahn-reduced&lt;/a&gt; 12 note scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahn_7"&gt;hahn_7&lt;/a&gt; - &lt;a class="wiki_link" href="/Paul%20Hahn"&gt;Paul Hahn&lt;/a&gt;'s scale with 32 consonant 7-limit dyads. TL '99&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahnZ"&gt;hahnZ&lt;/a&gt; - &lt;a class="wiki_link" href="/Paul%20Hahn"&gt;Paul Hahn&lt;/a&gt;'s scale Z, TL '99&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/harrison_cinna"&gt;harrison_cinna&lt;/a&gt; - &lt;a class="wiki_link" href="/Lou%20Harrison"&gt;Lou Harrison&lt;/a&gt;, &amp;quot;Incidental Music for Corneille's Cinna&amp;quot;&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="/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="/johnston"&gt;johnston&lt;/a&gt; - Ben Johnston's combined otonal-utonal 11-limit Fokker block&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/malcolm"&gt;malcolm&lt;/a&gt; - Alexander Malcolm's Monochord (1721)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/malcolm2"&gt;malcolm2&lt;/a&gt; - Alexander Malcolm's 1721 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="/oljare"&gt;oljare&lt;/a&gt; - Mats Öljare, scale for &amp;quot;Tampere&amp;quot; (2001)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ramis"&gt;ramis&lt;/a&gt; - monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482)&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Curley/Zach%20Curley%20-%20Impromptu%20in%20F%20Minor.mp3" rel="nofollow"&gt;Impromptu in F Minor&lt;/a&gt; by &lt;a class="wiki_link" href="/Zach%20Curley"&gt;Zach Curley&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&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="/riley_rosary"&gt;riley_rosary&lt;/a&gt; - Terry Riley, tuning for Cactus Rosary (1993)&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="/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="/sevish"&gt;sevish&lt;/a&gt; - Sean &amp;quot;Sevish&amp;quot; Archibald's scale for &lt;a class="wiki_link_ext" href="http://www.archive.org/download/FNet021/02.Sevish-Trapped_in_a_Cycle.mp3" rel="nofollow"&gt;Trapped in a Cycle&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/simp12"&gt;simp12&lt;/a&gt; - Stiltner-Vaisvil 12 note 2.3.5.7.13 scale&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/just/JI/simpl10plus13.mp3" rel="nofollow"&gt;Simpl10plus13&lt;/a&gt; by Chris Vaisvil&lt;/li&gt;&lt;/ul&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="/steel"&gt;steel&lt;/a&gt; - an 11-limit tuning discovered by &lt;a class="wiki_link" href="/Lou%20Harrison"&gt;Lou Harrison&lt;/a&gt; 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="/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="/terrain"&gt;terrain&lt;/a&gt; - in effect a generated scale in 2.9/5.9/7 subgroup&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/thirteendene"&gt;thirteendene&lt;/a&gt; - 2.3.5.7.13 marveldene transversal&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/unimajor"&gt;unimajor&lt;/a&gt; - a 2.3.11/7 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/wilson_class"&gt;wilson_class&lt;/a&gt; - &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt;'s class&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/wilsonistic"&gt;wilsonistic&lt;/a&gt; - &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;'s Wilsonistic Pivot on C&lt;ul&gt;&lt;li&gt;Chris Vaisvil, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/just/wilson/daily20101225--wilsonistic_pivot_C-ji.mp3" rel="nofollow"&gt;A Blue Christmas for Erv&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/yekta"&gt;yekta&lt;/a&gt; - Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia&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 &amp;quot;The Well-Tuned Piano&amp;quot;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/zeta12"&gt;zeta12&lt;/a&gt; - Margo Schulter's Zeta Centauri tuning, inspired by Kraig Grady's Centaur&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Just Intonation is an infinite universe. A justly-intoned pentatonic can be very effective in the hands of a sensitive composer, and in this electronic age that same composer on another day can use a scale with hundreds of notes in an octave.

One approach to making just intonation not only practical but easy is to map an octave-repeating 12-tone JI scale to a standard keyboard. This page collects some of these scales, and a companion page does the same for tempered scales.

Retrieved from "https://en.xen.wiki/index.php?title=Gallery_of_12-tone_just_intonation_scales&oldid=1939"