Gallery of 12-tone just intonation scales: Difference between revisions
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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. | ||
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<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>[[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. | <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>[[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. | ||
</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(<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 <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 & 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 <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 <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> | </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(<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 <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 & 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 <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 <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 scales]] | [[Category:12-tone scales]] | ||
[[Category:gallery]] | [[Category:gallery]] | ||
[[Category: | [[Category:Just intonation scales]] | ||
[[Category:list]] | [[Category:list]] | ||
[[Category:listen]] | [[Category:listen]] | ||
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[[Category:scales]] | [[Category:scales]] |