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. | ||
== [[Chain of fifths|Interval circle]]-based | == [[Chain of fifths|Interval circle]]-based == | ||
* [[Rectoo]] – Hahn reduced circle of fifths via <12 19 27 34| | * [[Rectoo]] – Hahn reduced circle of fifths via <12 19 27 34| | ||
* [[Secor5_23TX]] – [[George Secor]]'s synchronous 5/23-comma temperament extraordinaire | * [[Secor5_23TX]] – [[George Secor]]'s synchronous 5/23-comma temperament extraordinaire | ||
== Chord-based (eg [[tritriadic]], [[tetrachord|tetrachordal]]) == | == Chord-based (eg [[tritriadic scale|tritriadic]], [[tetrachord|tetrachordal]]) == | ||
* [[Cv_scales|Cv scales]] – [[Periodic_scale|epimorphic scales]] with three major and two minor tetrads | * [[Cv_scales|Cv scales]] – [[Periodic_scale|epimorphic scales]] with three major and two minor tetrads | ||
* [[Hahn_7|Hahn_7]] – [[Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99 | * [[Hahn_7|Hahn_7]] – [[Paul Hahn]]'s scale with 32 consonant 7-limit dyads. TL '99 | ||
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* [[Duodene_skew]] – rotated duodene = magsyn3 | * [[Duodene_skew]] – rotated duodene = magsyn3 | ||
* [[Pre-archytas]] – tuning | * [[Pre-archytas]] – tuning | ||
* [[Mohajira-to-slendro]] – Dudon's "From Mohajira to Aeolian and Slendros"by [[Gene Ward Smith]] | * [[Mohajira-to-slendro]] – Dudon's "From Mohajira to Aeolian and Slendros" by [[Gene Ward Smith]] | ||
** [[Chris Vaisvil]], [http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3 Just Zither Me] [http://chrisvaisvil.com/?p=983 (details)] | ** [[Chris Vaisvil]], [http://micro.soonlabel.com/just/pre-archytas-hobbit/daily20110621_zither_ji.mp3 Just Zither Me] [http://chrisvaisvil.com/?p=983 (details)] | ||
* [[Septimal Canright]] – A 7-limit detemper of 12edo used by [[David Canright]] | * [[Septimal Canright]] – A 7-limit detemper of 12edo used by [[David Canright]] | ||
* [[Thirteendene]] – 2.3.5.7.13 marveldene transversal | |||
=== [[Wakalix]]-based === | === [[Wakalix]]-based === | ||
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=== [[CPS]]-based === | === [[CPS]]-based === | ||
* [[ | * [[1-3-5-7 by 9/5 bihexany]] | ||
* [[1-3-5-9 by 7/5 bihexany]] | |||
* [[1-5-9-13 by 3/2 bihexany]] | |||
* [[3-5-15-19 by 9/8 bihexany]] | |||
* [[Bihexanymyna]] | |||
* [[User:BudjarnLambeth/435zpi|CPS (1 of 3 5 9 11 15 19 25 27 29 33 37 41) (untempered ver.)]] | * [[User:BudjarnLambeth/435zpi|CPS (1 of 3 5 9 11 15 19 25 27 29 33 37 41) (untempered ver.)]] | ||
* [[User:BudjarnLambeth/435zpi|CPS (11 of 3 5 9 11 15 19 25 27 29 33 37 41) (untempered ver.)]] | * [[User:BudjarnLambeth/435zpi|CPS (11 of 3 5 9 11 15 19 25 27 29 33 37 41) (untempered ver.)]] | ||
* [[Dekany-cs]] – [[ | * [[Dekany-cs]] – [[CPS]]({1,3,7,9,11}, 2) union {77/72, 77/64}; Grady-Narushima | ||
* [[Duohex]] – a scale with two hexanies | * [[Duohex]] – a scale with two hexanies | ||
* [[Hexanys]] – 1.3.5.7.9 | * [[Duohexmarvwoo]] | ||
* [[Duohexmean]] | |||
* [[GW Smith bihexany 14 Feb 2011]] – hole around [0, 1/2, 1/2, 1/2] | |||
* [[Hexanys]] – 1.3.5.7.9 hexanies | |||
* [[Hexanys-valentino]] | |||
* [[Hexy]] – maximized 9-limit harmony containing a hexany | * [[Hexy]] – maximized 9-limit harmony containing a hexany | ||
* [[Septimal Canright]] - contains 1-3-5-9 stellated hexany | |||
* [[Stelhex]] – stellated two out of 1 3 5 7 hexany | * [[Stelhex]] – stellated two out of 1 3 5 7 hexany | ||
* [[Stelhex2]] – stellated two out of 1 3 5 9 hexany | * [[Stelhex2]] – stellated two out of 1 3 5 9 hexany | ||
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* [[Secor5_23TX]] – [[George Secor]]'s synchronous 5/23-comma temperament extraordinaire | * [[Secor5_23TX]] – [[George Secor]]'s synchronous 5/23-comma temperament extraordinaire | ||
== [[Hobbit]]s, [[dwarves]] | == [[Hobbit]]s, [[dwarves]] & related == | ||
* [[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] | ||
** Chris Vaisvil, [http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3 Centaur’s Pasture] | ** Chris Vaisvil, [http://micro.soonlabel.com/centaur_tuning/daily20100823-centaur-ver2.mp3 Centaur’s Pasture] | ||
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* [[Otones12-24]] – a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]] | * [[Otones12-24]] – a.k.a. Mode 12 of the [[OverToneSeries|Harmonic Series]] | ||
== [[Subgroup]]- or [[limit]]- based | == [[Subgroup]]- or [[limit]]- based == | ||
''(Only added to this subheading if it doesn't belong under another subheading.)'' | ''(Only added to this subheading if it doesn't belong under another subheading.)'' | ||
* [[Bicycle]] – [[George Secor]]'s (also Wilson's and Heathwaite's) 13-limit harmonic bicycle | * [[Bicycle]] – [[George Secor]]'s (also Wilson's and Heathwaite's) 13-limit harmonic bicycle | ||
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* [[Terrain]] – in effect a generated scale in 2.9/5.9/7 subgroup | * [[Terrain]] – in effect a generated scale in 2.9/5.9/7 subgroup | ||
* [[Unimajor]] – a 2.3.11/7 subgroup scale | * [[Unimajor]] – a 2.3.11/7 subgroup scale | ||
== Others == | == Others == | ||
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* [[Eagle 53|Eagle JI]] - [[John O'Sullivan]] | * [[Eagle 53|Eagle JI]] - [[John O'Sullivan]] | ||
* [[Glumma]] – a <12 19 27 34|-epimorphic rectangular scale | * [[Glumma]] – a <12 19 27 34|-epimorphic rectangular scale | ||
* [[Maeve Gutierrez|Gutierrez]]-[[Budjarn Lambeth|Lambeth]] chromaticized sunbreak scale: 187/175 - 9/8 — 20/17 — 14/11 — 34/25 — 25/17 — 280/187 - 11/7 — 17/10 — 16/9 — 350/187 - 2/1 | |||
* [[Hahn12]] – [[Hahn-reduced]] 12 note scale | * [[Hahn12]] – [[Hahn-reduced]] 12 note scale | ||
* [[HahnZ|HahnZ]] – [[Paul Hahn]]'s scale Z, TL '99 | * [[HahnZ|HahnZ]] – [[Paul Hahn]]'s scale Z, TL '99 | ||
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* [[Part12]] – 9+3=12 partition scale <12 19 27| epimorphic | * [[Part12]] – 9+3=12 partition scale <12 19 27| epimorphic | ||
* [[Pris]] – optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale | * [[Pris]] – optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale | ||
* [[Prism]] – [[Carl Lumma]] scale | * [[Prism (scale)|Prism]] – [[Carl Lumma]] scale | ||
* [[Sonbirkezsorted]] Sonbirkez Huzzam scale | * [[Sonbirkezsorted]] – Sonbirkez Huzzam scale | ||
* [[Yekta]] – [[Rauf Yekta]]'s 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia | * [[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 | * [[Zeta12]] – Margo Schulter's Zeta Centauri tuning, inspired by [[Kraig Grady]]'s Centaur | ||