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

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Adding Wilson-middle-rank-12 to gallery. The scale is a subset of Wilson's 7-limit 22-enharmonic (marimba) scale.
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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.


{{todo|cleanup|inline=1}}
* [[12highschool1]] - first 12-note highschool scale
 
* [[12highschool2]] - second 12-note highschool scale
*[[wilson-middle-rank-12]] - Wilson 7-limit, 12-note middle rank of 22 marimba scale
* [[44_39-12]] - 12-note chromatic tuning with 352:351, 364:363 by Margo Schulter
*[[12highschool1]] - first 12-note highschool scale
* [[Pre-archytas]] - tuning by Gene Ward Smith
*[[12highschool2|12highschool2]] - second 12-note highschool scale
** Chris Vaisvil, [http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3 Just Zither Me] [http://chrisvaisvil.com/?p=983 (details)]
*[[44_39-12|44_39-12]] - 12-note chromatic tuning with 352:351, 364:363 by Margo Schulter
* [[Augdommean]] - Fokkerization of Centaur
*[[pre-archytas|pre-archytas]] - tuning by Gene Ward Smith
* [[Barton]] - Jacob Barton, tetratetradic scale on 6:7:9:11
**Chris Vaisvil, [http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3 Just Zither Me] [http://chrisvaisvil.com/?p=983 (details)]
* [[Bicycle]] - George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle
*[[augdommean|augdommean]] - Fokkerization of Centaur
* [[Biggulp]] - Big Gulp tuning
*[[barton|barton]] - Jacob Barton, tetratetradic scale on 6:7:9:11
** Chris Vaisvil, [http://micro.soonlabel.com/tuning-survey/daily20100611-Big%20Gulp.mp3 improv] [http://chrisvaisvil.com/?p=164 (details)]
*[[bicycle|bicycle]] - George Secor's (also Wilson's and Heathwaite's) 13-limit harmonic bicycle
* [[Bihexany]] - hole around [0, 1/2, 1/2, 1/2]
*[[biggulp|biggulp]] - Big Gulp tuning
* [[Blue-ji]] - John O'Sullivan and Carl Lumma
**Chris Vaisvil, [http://micro.soonlabel.com/tuning-survey/daily20100611-Big%20Gulp.mp3 improv] [http://chrisvaisvil.com/?p=164 (details)]
** [https://alonetone.com/vaisvil/tracks/sweeneys-agony-remix-by-johnny-pumphandle.mp3 Sweeney's Agony]
*[[bihexany|bihexany]] - hole around [0, 1/2, 1/2, 1/2]
** [http://micro.soonlabel.com/blue-tuning/daily20110119-atonement-in-blue-JI.mp3 Atonement to a Centaur]
*[[blue-ji|blue-ji]] - John O'Sullivan and Carl Lumma
* [[Bluesji]] - Graham Breed's Blues scale in a 7-limit JI version
**[https://alonetone.com/vaisvil/tracks/sweeneys-agony-remix-by-johnny-pumphandle.mp3 Sweeney's Agony]
* [[Bozuji Tuning]] - Bostjan Zupancic's tuning based on combining the ideas of ergotonics (i.e. defining tones by their musical functionality), adaptive step sizes (i.e., defining steps rather than intervals), and the further extrapolation of Gioseffo Zarlino's expansion of the Ptolemeic JI scale.
*[http://micro.soonlabel.com/blue-tuning/daily20110119-atonement-in-blue-JI.mp3 Atonement to a Centaur]
* [[Breedball3]] - the third breed ball around 49/40-7/4
*[[bluesji|bluesji]] - Graham Breed's Blues scale in a 7-limit JI version
* [[Canton]] - a 2.3.11/7.13/7 subgroup scale
*[[Bozuji Tuning]] - Bostjan Zupancic's tuning based on combining the ideas of ergotonics (i.e. defining tones by their musical functionality), adaptive step sizes (i.e., defining steps rather than intervals), and the further extrapolation of Gioseffo Zarlino's expansion of the Ptolemeic JI scale.
* [[Carlos_harm|Carlos harm]] - [[Wendy_Carlos|Wendy Carlos]] Harmonic Scale
*[[breedball3|breedball3]] - the third breed ball around 49/40-7/4
** Chris Vaisvil, [http://micro.soonlabel.com/carlos-harmonic/daily20090806-piano-valles-marineris-harmonic-wah.mp3 Valles Marineris]
*[[canton|canton]] - a 2.3.11/7.13/7 subgroup scale
* [[Centaur]] - a 7-limit tuning [http://www.anaphoria.com/centaur.html discovered by Kraig Grady]
*[[carlos_harm|carlos_harm]] - [[Wendy_Carlos|Wendy Carlos]] Harmonic Scale
** Chris Vaisvil, [http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3 Centaur’s Pasture]
**Chris Vaisvil, [http://micro.soonlabel.com/carlos-harmonic/daily20090806-piano-valles-marineris-harmonic-wah.mp3 Valles Marineris]
* [[Chalmers_ji1.scl|Chalmers_ji1]] - based loosely on Wronski's and similar JI scales
*[[centaur|centaur]] - a 7-limit tuning [http://www.anaphoria.com/centaur.html discovered by Kraig Grady]
* [[Collapsar]] - an 11-limit patent val superwakalix
**Chris Vaisvil, [http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3 Centaur’s Pasture]
* [[Cv_scales|Cv scales]] - [[Periodic_scale|epimorphic scales]] with three major and two minor tetrads
*[[chalmers_ji1.scl|chalmers_ji1.scl]] - based loosely on Wronski's and similar JI scales
* [[Dekany-cs]] - [[Combination_product_sets|Cps]]({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima
*[[collapsar|collapsar]] - an 11-limit patent val superwakalix
* [[Domdimpajinjschis]] - superwakalix
*[[cv_scales|cv scales]] - [[Periodic_scale|epimorphic scales]] with three major and two minor tetrads
* [[Domdimpajinjmean]] - superwakalix, same as miller7, parizek_ji1
*[[dekany-cs|dekany-cs]] - [[Combination_product_sets|Cps]]({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima
* [[Duodene]] - the Ellis duodene = Dwarf(<12 19 28|) = syndie3 = Euler(675) = Gandhar tuning
*[[domdimpajinjschis|domdimpajinjschis]] - superwakalix
* [[Duodene_skew]] - rotated duodene = magsyn3
*[[domdimpajinjmean|domdimpajinjmean]] - superwakalix, same as miller7, parizek_ji1
* [[Duohex]] - a scale with two hexanies
*[[duodene|duodene]] - the Ellis duodene = Dwarf(<12 19 28|) = syndie3 = Euler(675) = Gandhar tuning
* [[Dwarf12_7]] - the 7-limit 12-note dwarf
*[[duodene_skew|duodene_skew]] - rotated duodene = magsyn3
* [[Dwarf12_11]] - the 11-limit 12-note dwarf
*[[duohex|duohex]] - a scale with two hexanies
* [[Genovese_12]] - Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12
*[[dwarf12_7|dwarf12_7]] - the 7-limit 12-note dwarf
* [[Glumma]] - a <12 19 27 34|-epimorphic rectangular scale
*[[dwarf12_11|dwarf12_11]] - the 11-limit 12-note dwarf
* [[Hahn12]] - [[Hahn-reduced|Hahn-reduced]] 12 note scale
*[[genovese_12|genovese_12]] - Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12
* [[Hahn_7|Hahn_7]] - [[Paul_Hahn|Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99
*[[glumma|glumma]] - a <12 19 27 34|-epimorphic rectangular scale
* [[HahnZ|HahnZ]] - [[Paul_Hahn|Paul Hahn]]'s scale Z, TL '99
*[[hexanys|hexanys]]
* [[Harrison_cinna]] - [[Lou_Harrison|Lou Harrison]], "Incidental Music for Corneille's Cinna"
*[[hobbit_11_limit|hobbit_11_limit]] - Chris Vaisvil's 11 limit JI hobbit
* [[Harrisonm_rev]] - Michael Harrison's [http://www.michaelharrison.com/harmonic-tunings.html Revelation Tuning]
**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)]
* [[Hexanys]] - 1.3.5.7.9 hexany
*[[locomotive|locomotive]] - a 2.9.11.13 subgroup scale
* [[Hexy]] - maximized 9-limit harmony containing a hexany
*[[major_clus|major_clus]] - Chalmers' Major Mode Cluster
* [[Hobbit_11_limit|Hobbit 11-limit]] - Chris Vaisvil's 11 limit JI hobbit
*[[major_wing|major_wing]] - Chalmers' Major Wing with 7 major and 6 minor triads
** 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)]
*[[minor_clus|minor_clus]] - Chalmers' Minor Mode Cluster, Genus [333335]
* [[Johnston]] - Ben Johnston's combined otonal-utonal 11-limit Fokker block
*[[minor_wing|minor_wing]] - Chalmers' Minor Wing with 7 minor and 6 major triads
* [[Locomotive]] - a 2.9.11.13 subgroup scale
*[[Max_scales|max scales]] - 31 dyads 26 triads 6 tetrads 2 pentads
* [[Major_clus|Major clus]] - Chalmers' Major Mode Cluster
*[[mdevelde|mdevelde]] - a 2.3.5.19 subgroup scale
* [[Major_wing|Major wing]] - Chalmers' Major Wing with 7 major and 6 minor triads
*[[nofives|nofives]] - a 3 & 7 scale discovered by Gene Ward Smith
* [[Malcolm]] - Alexander Malcolm's Monochord (1721)
**Aaron Krister Johnson, [https://www.youtube.com/watch?v=n7mxHWdkV04 piano improvisation]
* [[Malcolm2]] - Alexander Malcolm's 1721 scale
*[[omaha|omaha]] - a 2.3.11 subgroup scale
* [[Max_scales|Max scales]] - 31 dyads 26 triads 6 tetrads 2 pentads
*[[otones12-24|otones12-24]] - a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]
* [[Minor_clus|Minor clus]] - Chalmers' Minor Mode Cluster, Genus [333335]
*[[part12|part12]] - 9+3=12 partition scale <12 19 27| epimorphic
* [[Minor_wing|Minor wing]] - Chalmers' Minor Wing with 7 minor and 6 major triads
*[[portsmouth|portsmouth]] - a 2.3.7.11 subgroup scale
* [[Mdevelde]] - a 2.3.5.19 subgroup scale
*[[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]
* [[Mohajira-to-slendro]] - Dudon's "From Mohajira to Aeolian and Slendros"
*[[prism|prism]] - [[Carl_Lumma|Carl Lumma]] scale
* [[Nofives]] - a 3 & 7 scale discovered by Gene Ward Smith
*[[pris|pris]] - optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale
** Aaron Krister Johnson, [https://www.youtube.com/watch?v=n7mxHWdkV04 piano improvisation]
*[[ptolex|ptolex]] - [[Jon_Lyle_Smith|Jon Lyle Smith]]'s extended septimal Ptolemy
* [[Oljare]] - Mats Öljare, scale for "Tampere" (2001)
**Jon Lyle Smith, [http://www.notonlymusic.com/board/download/file.php?id=1993 Te Deum Laudamus]
* [[Omaha]] - a 2.3.11 subgroup scale
*[[hahn12|hahn12]] - [[Hahn-reduced|Hahn-reduced]] 12 note scale
* [[Otones12-24]] - a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]]
*[[hahn_7|hahn_7]] - [[Paul_Hahn|Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99
* [[Part12]] - 9+3=12 partition scale <12 19 27| epimorphic
*[[hahnZ|hahnZ]] - [[Paul_Hahn|Paul Hahn]]'s scale Z, TL '99
* [[Portsmouth]] - a 2.3.7.11 subgroup scale
*[[harrison_cinna|harrison_cinna]] - [[Lou_Harrison|Lou Harrison]], "Incidental Music for Corneille's Cinna"
* [[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]
*[[harrisonm_rev|harrisonm_rev]] - Michael Harrison's [http://www.michaelharrison.com/harmonic-tunings.html Revelation Tuning]
* [[Pris]] - optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale
*[[hexy|hexy]] - maximized 9-limit harmony containing a hexany
* [[Prism]] - [[Carl_Lumma|Carl Lumma]] scale
*[[johnston|johnston]] - Ben Johnston's combined otonal-utonal 11-limit Fokker block
* [[Ptolex]] - [[Jon_Lyle_Smith|Jon Lyle Smith]]'s extended septimal Ptolemy
*[[malcolm|malcolm]] - Alexander Malcolm's Monochord (1721)
** Jon Lyle Smith, [http://www.notonlymusic.com/board/download/file.php?id=1993 Te Deum Laudamus]
*[[malcolm2|malcolm2]] - Alexander Malcolm's 1721 scale
* [[Ramis]] - monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482)
*[[mohajira-to-slendro|mohajira-to-slendro]] - Dudon's "From Mohajira to Aeolian and Slendros"
** [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]]
*[[oljare|oljare]] - Mats Öljare, scale for "Tampere" (2001)
* [[Rectoo]] - Hahn reduced circle of fifths via <12 19 27 34|
*[[ramis|ramis]] - monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482)
* [[Riley_rosary|Riley rosary]] - Terry Riley, tuning for Cactus Rosary (1993)
**[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]]
* [[Secor5_23TX]] - George Secor's synchronous 5/23-comma temperament extraordinaire
*[[rectoo|rectoo]] - Hahn reduced circle of fifths via <12 19 27 34|
* [[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]]
*[[riley_rosary|riley_rosary]] - Terry Riley, tuning for Cactus Rosary (1993)
* [[Sevish (scale)|sevish]] - Sean "Sevish" Archibald's scale for [https://www.archive.org/download/FNet021/02.Sevish-Trapped_in_a_Cycle.mp3 Trapped in a Cycle]
*[[Secor5_23TX|Secor5_23TX]] - George Secor's synchronous 5/23-comma temperament extraordinaire
* [[Simp12]] - Stiltner-Vaisvil 12 note 2.3.5.7.13 scale
*[[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]]
** [http://micro.soonlabel.com/just/JI/simpl10plus13.mp3 Simpl10plus13] by Chris Vaisvil
*[[Sevish (scale)|sevish]] - Sean "Sevish" Archibald's scale for [https://www.archive.org/download/FNet021/02.Sevish-Trapped_in_a_Cycle.mp3 Trapped in a Cycle]
* [[Sonbirkezsorted]] Sonbirkez Huzzam scale
*[[simp12|simp12]] - Stiltner-Vaisvil 12 note 2.3.5.7.13 scale
* [[Steel]] - an 11-limit tuning discovered by [[Lou_Harrison|Lou Harrison]] and Bill Slye
**[http://micro.soonlabel.com/just/JI/simpl10plus13.mp3 Simpl10plus13] by Chris Vaisvil
** see David B. Doty's [http://www.dbdoty.com/SteelSuiteIntro.html Steel Suite]
*[[sonbirkezsorted|sonbirkezsorted]] Sonbirkez Huzzam scale
* [[Stelhex]] - stellated two out of 1 3 5 7 hexany
*[[steel|steel]] - an 11-limit tuning discovered by [[Lou_Harrison|Lou Harrison]] and Bill Slye
* [[Stelhex2]] - stellated two out of 1 3 5 9 hexany
**see David B. Doty's [http://www.dbdoty.com/SteelSuiteIntro.html Steel Suite]
* [[Stelhex5]] - stellated two out of 1 3 7 9 hexany, stellation is degenerate
*[[stelhex|stelhex]] - stellated two out of 1 3 5 7 hexany
* [[Terrain]] - in effect a generated scale in 2.9/5.9/7 subgroup
*[[stelhex2|stelhex2]] - stellated two out of 1 3 5 9 hexany
* [[Thirteendene]] - 2.3.5.7.13 marveldene transversal
*[[stelhex5|stelhex5]] - stellated two out of 1 3 7 9 hexany, stellation is degenerate
* [[Unimajor]] - a 2.3.11/7 subgroup scale
*[[terrain|terrain]] - in effect a generated scale in 2.9/5.9/7 subgroup
* [[Wilson-middle-rank-12]] - Wilson 7-limit, 12-note middle rank of 22 marimba scale
*[[thirteendene|thirteendene]] - 2.3.5.7.13 marveldene transversal
* [[Wilson_class|Wilson class]] - [[Erv_Wilson|Erv Wilson]]'s class
*[[unimajor|unimajor]] - a 2.3.11/7 subgroup scale
* [[Wilsonistic]] - [[Margo_Schulter|Margo Schulter]]'s Wilsonistic Pivot on C
*[[wilson_class|wilson_class]] - [[Erv_Wilson|Erv Wilson]]'s class
** Chris Vaisvil, [http://micro.soonlabel.com/just/wilson/daily20101225--wilsonistic_pivot_C-ji.mp3 A Blue Christmas for Erv]
*[[wilsonistic|wilsonistic]] - [[Margo_Schulter|Margo Schulter]]'s Wilsonistic Pivot on C
* [[Yekta]] - Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia
**Chris Vaisvil, [http://micro.soonlabel.com/just/wilson/daily20101225--wilsonistic_pivot_C-ji.mp3 A Blue Christmas for Erv]
* [[Young-lm_piano]]- La Monte Young's scale from "The Well-Tuned Piano"
*[[yekta|yekta]] - Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia
* [[Zeta12]] - Margo Schulter's Zeta Centauri tuning, inspired by Kraig Grady's Centaur
*[[young-lm_piano|young-lm_piano]]- La Monte Young's scale from "The Well-Tuned Piano"
*[[zeta12|zeta12]] - Margo Schulter's Zeta Centauri tuning, inspired by Kraig Grady's Centaur


== See also ==
== See also ==
Retrieved from "https://en.xen.wiki/w/Gallery_of_12-tone_just_intonation_scales"