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| |} | | |} |
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| Error < 25{{c}}, badness < 3
| | Complexity < 30, error < 25{{c}}, badness < 3 |
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| {| class="wikitable sortable center-2 center-3 center-4" | | {| class="wikitable sortable center-2 center-3 center-4" |
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| | Trisedodge || 27.7 || .518 || 5.92 || {{mapping| 5 1 7 | 0 3 2 }} || {{monzo| 19 10 -15 }} | | | Trisedodge || 27.7 || .518 || 5.92 || {{mapping| 5 1 7 | 0 3 2 }} || {{monzo| 19 10 -15 }} |
| |- | | |- |
| | || 28.6 || .243 || 3.06 || {{mapping| 1 4 -1 | 0 8 -11 }} || {{monzo| -36 11 8 }} | | | Demibuzzard || 28.6 || .243 || 3.06 || {{mapping| 1 4 -1 | 0 8 -11 }} || {{monzo| -36 11 8 }} |
| | |} |
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| | 30 < complexity < 60, badness < 3 |
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| | {| class="wikitable sortable center-2 center-3 center-4" |
| | |- |
| | ! Temperament !! Complexity !! Error (¢) !! Badness !! Mapping !! Comma list |
| | |- |
| | | Luna || 33.5 || .0239 || .483 || {{mapping| 1 4 2 | 0 15 -2 }} || {{monzo| 38 -2 -15 }} |
| | |- |
| | | Enneadecal || 35.8 || .0454 || 1.12 || {{mapping| 19 0 14 | 0 1 1 }} || {{monzo| -14 -19 19 }} |
| | |- |
| | | Gammic || 37.2 || .0740 || 2.06 || {{mapping| 1 1 2 | 0 20 11 }} || {{monzo| -29 -11 20 }} |
| | |- |
| | | Ennealimmal || 38.7 || .0128 || .403 || {{mapping| 9 1 1 | 0 2 3 }} || {{monzo| 1 -27 18 }} |
| | |- |
| | | Alphatricot || 39.3 || .0330 || 1.08 || {{mapping| 1 0 -13 | 0 3 29 }} || {{monzo| 39 -29 3 }} |
| | |- |
| | | Kwazy || 43.2 || .00762 || .331 || {{mapping| 2 1 6 | 0 8 -5 }} || {{monzo| -53 10 16 }} |
| | |- |
| | | Minortone || 45.3 || .0139 || .698 || {{mapping| 1 16 32 | 0 17 35 }} || {{monzo| -16 35 -17 }} |
| | |- |
| | | Monzismic || 51.7 || .00326 || .244 || {{mapping| 1 0 -27 | 0 2 37 }} || {{monzo| 54 -37 2 }} |
| | |- |
| | | Vavoom || 54.2 || .0269 || 2.31 || {{mapping| 1 0 4 | 0 17 -18 }} || {{monzo| -68 18 17 }} |
| |} | | |} |
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| | CBC: ~3/2 = 696.883{{c}} | | | CBC: ~3/2 = 696.883{{c}} |
| |} | | |} |
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| == Temperament pages ==
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| Note:
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| # Order: [[subgroup]], [[comma list]], [[mapping]], mapping generators, (subgroup-val mapping, gencom mapping), lattice basis, [[optimal tuning]]s ([[WE]] and [[CWE]]), [[minimax tuning]], [[tuning ranges]], [[algebraic generator]] (?), [[optimal ET sequence]], [[badness]], [[complexity spectrum]], and others.
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| # Comma list should be the Tenney-minimal commas sufficient to define the temperament, stated in [[Normal forms #Normal forms for commas]].
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| # Mapping generators should show all the ratios as used in the mapping, including the period.
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| # For subgroup temperaments, "mapping" becomes "subgroup-val mapping" and "gencom mapping"".
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| * If the subgroup is trivial, simply show "WE"/"CWE", otherwise show "subgroup/inharmonic WE/CWE" instead.
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| # Cent symbol in tunings.
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| # Since minimax tunings are based on tonality diamonds, it should explicitly state the ''odd'' limit, or a diamond function of ratios.
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| # Algebraic generators are to be discussed later.
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|
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| Get a family for:
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| * <s>Ripple (3 different 7-limit extensions)</s> done
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| * <s>Smate (2 different 7-limit extensions)</s> done
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| * <s>Passion (4 different 7-limit extensions, 3 strong and 1 weak)</s> done
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| * <s>Undim</s> done
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| * <s>Quintaleap</s> done
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| * <s>Quindromeda</s> done
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| * Parakleismic (many reasonable but unnamed 7-limit extensions)
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| * Schismatic rank-3 family (perhaps)
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|
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| Progress:
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| * <s>Meantone family</s>
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| * <s>Didymus rank-3 family</s>
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| * <s>Archytas clan</s>
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| * <s>Archytas family</s>
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| * <s>Father family</s>
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| * <s>Trienstonic clan</s>
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| * <s>Septisemi temperaments</s>
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| * <s>Semaphoresmic clan</s>
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| * <s>Semaphoresmic family</s>
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| * <s>Jubilismic clan</s>
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| * <s>Jubilismic family</s>
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| * [[Mint temperaments]]
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| * <s>Mint family</s>
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| * <s>Augmented family</s>
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| * <s>Diminished family</s>
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| * <s>Passion family</s>
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| * <s>Ripple family</s>
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| * <s>Dicot family</s>
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| * <s>Bug family</s>
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| * <s>Mavila family</s>
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| * [[Smate family]]
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| * <s>Gamelismic clan</s>
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| * <s>Gamelismic family</s>
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| * <s>Marvel temperaments</s>
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| * <s>Marvel family</s>
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| * <s>Starling temperaments</s>
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| * <s>Starling family</s>
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| * <s>Sensamagic clan</s>
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| * <s>Sensamagic family</s>
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| * <s>Magic family</s>
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| * <s>Sensipent family</s>
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| * <s>Keemic temperaments</s>
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| * <s>Keemic family</s>
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| * <s>Sengic family</s>
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| * <s>Schismatic family</s>
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| * <s>Kleismic family</s>
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| * <s>Kleismic rank-3 family</s>
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| * [[Würschmidt family]]
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| * [[Unicorn family]]
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| * [[Immunity family]]
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| * [[Fifive family]]
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| * [[Trisedodge family]]
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| * [[Quintosec family]]
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| * [[Quintile family]]
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| * [[Sycamore family]]
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| * <s>Semicomma family</s>
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| * <s>Orwellismic temperaments</s>
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| * <s>Orwellismic family</s>
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| * [[Hemimean clan]]
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| * [[Hemimean family]]
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| * <s>Hemifamity temperaments</s>
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| * <s>Hemifamity family</s>
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| * [[Porwell temperaments]]
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| * [[Porwell family]]
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| * [[Hemimage temperaments]]
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| * [[Hemimage family]]
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| * <s>Porcupine family</s>
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| * <s>Porcupine rank-3 family</s>
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| * <s>Tetracot family</s>
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| * <s>Diaschismic family</s>
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| * <s>Diaschismic rank-3 family</s>
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| * <s>Compton family</s>
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| * [[Amity family]]
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| * <s>Misty family</s>
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| * <s>Undim family</s>
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| * [[Lehmerismic temperaments]]
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| * [[Kalismic temperaments]]
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| * [[Ragismic microtemperaments]]
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| * [[Ragismic family]]
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| * [[Landscape microtemperaments]]
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| * [[Landscape family]]
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| * <s>Dimcomp family</s>
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| * [[Mirkwai clan]]
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| * [[Mirkwai family]]
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| * <s>Quince clan</s>
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| * [[Breedsmic temperaments]]
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| * <s>Breed family</s>
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| * [[Escapade family]]
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| * <s>Gravity family</s>
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| * <s>Buzzardsmic clan</s>
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| * [[Cataharry temperaments]]
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| * [[Cataharry family]]
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| * [[Varunismic temperaments]]
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| * <s>Rastmic rank-3 clan</s>
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| * <s>Biyatismic clan</s>
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| * <s>Ptolemismic clan</s>
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| * [[Valinorsmic clan]]
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| * [[Pentacircle clan]]
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| * <s>Keenanismic temperaments</s>
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| * [[Keenanismic family]]
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| * <s>Werckismic temperaments</s>
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| * <s>Swetismic temperaments</s>
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| * [[Wizmic microtemperaments]]
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| * [[Metric microtemperaments]]
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| * [[Horwell temperaments]]
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| * [[Horwell family]]
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| * [[Luna family]]
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| * <s>Vulture family</s>
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| * <s>Alphatricot family</s>
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| * [[Minortonic family]]
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| * [[Gammic family]]
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| * [[Vishnuzmic family]]
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| * <s>Garischismic clan</s>
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| * <s>Garischismic family</s>
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| * [[Canousmic temperaments]]
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| * [[Canou family]]
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| * [[Semicanousmic clan]]
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| * [[Semiporwellismic clan]]
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| * <s>Olympic clan</s>
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| * [[Alphaxenic rank-3 clan]]
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| * [[Mirwomo temperaments]]
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| * <s>Gariboh clan</s>
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| * <s>Gariboh family</s>
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| * [[Octagar temperaments]]
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| * [[Octagar family]]
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| * <s>Whitewood family</s>
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| * [[Wesley family]]
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| * [[Mabila family]]
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| * [[Maquila family]]
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| * [[Maja family]]
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| * [[Ditonmic family]]
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| * [[Greenwoodmic temperaments]]
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| * <s>Avicennmic temperaments</s>
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| * <s>Very low accuracy temperaments</s>
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| * [[Very high accuracy temperaments]]
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| * [[Equivalence continuum|Equivalence continua]]
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| * [[Fractional-octave temperaments]]
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| * [[Subgroup temperaments]]
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|
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| == Scale tree ==
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| ; 6-tone
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| : <s>1L 5s</s>, [[2L 4s]], <s>3L 3s</s>, [[4L 2s]], <s>5L 1s</s>
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|
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| ; 7-tone
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| : <s>1L 6s</s>, <s>2L 5s</s>, <s>3L 4s</s>, <s>4L 3s</s>, <s>5L 2s</s>, <s>6L 1s</s>
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|
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| ; 8-tone
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| : [[1L 7s]], <s>2L 6s</s>, [[3L 5s]], <s>4L 4s</s>, <s>5L 3s</s>, <s>6L 2s</s>, [[7L 1s]]
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|
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| ; 9-tone
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| : [[1L 8s]], [[2L 7s]], <s>3L 6s</s>, <s>4L 5s</s>, <s>5L 4s</s>, <s>6L 3s</s>, [[7L 2s]], [[8L 1s]]
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|
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| ; 10-tone
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| : [[1L 9s]], <s>2L 8s</s>, <s>3L 7s</s>, <s>4L 6s</s>, <s>5L 5s</s>, <s>6L 4s</s>, <s>7L 3s</s>, [[8L 2s]], [[9L 1s]]
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|
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| ; 11-tone
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| : [[1L 10s]], [[2L 9s]], [[3L 8s]], <s>4L 7s</s>, <s>5L 6s</s>, <s>6L 5s</s>, <s>7L 4s</s>, [[8L 3s]], [[9L 2s]], [[10L 1s]]
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|
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| ; 12-tone
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| : [[1L 11s]], [[2L 10s]], [[3L 9s]], [[4L 8s]], <s>5L 7s</s>, <s>6L 6s</s>, <s>7L 5s</s>, [[8L 4s]], [[9L 3s]], [[10L 2s]], [[11L 1s]]
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