Catalog of temperaments by wedgie: Difference between revisions
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+ some rank-3 temps |
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Below are listed [[wedgie]]s for [[7-limit]] [[rank-2 temperament|rank-2]] and [[11-limit]] [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] in the order of increasing complexity of the [[3-limit|2.3 subgroup]], where ''complexity'' means how many parts the subgroup is split into, and equals the first entry of the wedgie. | Below are listed [[wedgie]]s for [[7-limit]] [[rank-2 temperament|rank-2]] and [[11-limit]] [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] in the order of increasing complexity of the [[3-limit|2.3 subgroup]] or [[5-limit|2.3.5 subgroup]], where ''complexity'' means how many parts the subgroup is split into, and equals the first entry of the wedgie. | ||
== Rank-2 temperaments == | == Rank-2 temperaments == | ||
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== Rank-3 temperaments == | == Rank-3 temperaments == | ||
=== Complexity 0 === | |||
* [[Rabic]] {{multival|rank=3| 0 0 0 24 0 0 38 0 0 83 }} | * [[Rabic]] {{multival|rank=3| 0 0 0 24 0 0 38 0 0 83 }} | ||
* [[Erato]] {{multival|rank=3| 0 0 1 0 4 10 0 4 13 12 }} | |||
* [[Negric]] {{multival|rank=3| 0 0 4 0 -3 2 0 -14 -8 13 }} | |||
* [[Supernatural]] {{multival|rank=3| 0 0 5 0 1 12 0 -10 5 25 }} | |||
* [[Sensigh]] {{multival|rank=3| 0 0 7 0 9 13 0 -2 1 5 }} | |||
* [[Thalia]] {{multival|rank=3| 0 1 0 4 0 1 4 0 5 16 }} | |||
* [[Calliope]] {{multival|rank=3| 0 1 0 4 0 -6 4 0 -6 0 }} | |||
* [[Melpomene]] {{multival|rank=3| 0 1 1 4 4 4 4 4 7 12 }} | |||
* [[Clio]] {{multival|rank=3| 0 1 1 4 4 -8 4 4 -12 -16 }} | |||
* [[Polyhymnia]] {{multival|rank=3| 0 1 -1 4 -4 3 4 -4 11 32 }} | |||
* [[Euterpe]] {{multival|rank=3| 0 1 2 4 8 2 4 8 1 -4 }} | |||
* [[Terpsichore]] {{multival|rank=3| 0 1 -2 4 -8 -7 4 -8 -2 20 }} | |||
* [[Urania]] {{multival|rank=3| 0 2 0 8 0 -5 8 0 -1 16 }} | |||
* [[Varda]] {{multival|rank=3| 0 2 2 -4 -4 8 -11 -11 14 16 }} | |||
* [[Augustus]] {{multival|rank=3| 0 2 -2 -4 4 -6 -11 11 3 -39 }} | |||
* [[Tiberius]] {{multival|rank=3| 0 2 4 -4 -8 -8 -11 -22 -17 -10 }} | |||
* [[Claudius]] {{multival|rank=3| 0 2 -4 -4 8 -2 -11 22 15 -41 }} | |||
* [[Sonic]] {{multival|rank=3| 0 3 0 5 0 -4 1 0 4 8 }} | |||
* [[Tikal]] {{multival|rank=3| 0 3 3 5 5 5 1 1 10 15 }} | |||
* [[Altierran]] {{multival|rank=3| 0 5 1 -40 -8 6 -75 -15 24 -102 }} | * [[Altierran]] {{multival|rank=3| 0 5 1 -40 -8 6 -75 -15 24 -102 }} | ||
* [[Schisnex]] {{multival|rank=3| 0 6 0 -48 0 -3 -90 0 16 -173 }} | * [[Schisnex]] {{multival|rank=3| 0 6 0 -48 0 -3 -90 0 16 -173 }} | ||
=== Complexity 1 === | |||
* [[Vulcan]] {{multival|rank=3| 1 0 -1 2 2 2 6 9 6 6 }} | |||
* [[Ares]] {{multival|rank=3| 1 0 2 2 2 -4 6 2 -12 -8 }} | |||
* [[Pele]] {{multival|rank=3| 1 1 1 6 10 4 10 17 7 2 }} | |||
* [[Laka]] {{multival|rank=3| 1 1 -1 6 -15 -9 10 -18 -8 42 }} | |||
* [[Akea]] {{multival|rank=3| 1 1 -2 6 -7 5 10 -3 17 52 }} | |||
* [[Lono]] {{multival|rank=3| 1 1 3 6 6 -12 10 6 -24 -24 }} | |||
* [[Nickel]] {{multival|rank=3| 1 -1 1 -2 -2 4 2 -2 0 8 }} | |||
* [[Keemic]] {{multival|rank=3| 1 -3 2 -3 2 0 5 2 -16 -16 }} | |||
=== Complexity 2 === | |||
* [[Parahemif]] {{multival|rank=3| 2 0 0 -13 -5 0 -15 -1 0 -31 }} | |||
* [[Selenium]] {{multival|rank=3| 2 0 -2 -1 -1 -1 4 10 4 -3 }} | |||
* [[Sensamagic]] {{multival|rank=3| 2 -1 -1 -5 3 -4 0 14 -7 -35 }} | |||
* [[Shrusus]] {{multival|rank=3| 2 -1 3 -5 -5 10 0 -8 4 20 }} | |||
* [[Octarod]] {{multival|rank=3| 2 -1 4 -5 4 8 0 4 -2 -10 }} | |||
* [[Sensawer]] {{multival|rank=3| 2 -1 -4 -5 -14 -3 0 -6 3 15 }} | |||
* [[Fiesta]] {{multival|rank=3| 2 2 0 0 0 0 1 7 7 0 }} | |||
* [[Kahoupokane]] {{multival|rank=3| 2 2 1 12 -1 -7 20 3 -7 28 }} | |||
* [[Kapo]] {{multival|rank=3| 2 2 -1 12 3 9 20 14 24 54 }} | |||
* [[Festival]] {{multival|rank=3| 2 2 2 0 -4 -4 1 -4 -5 2 }} | |||
* [[Namaka]] {{multival|rank=3| 2 2 2 12 -9 -21 20 -12 -32 18 }} | |||
* [[Jamboree]] {{multival|rank=3| 2 2 -2 0 -6 -6 1 2 3 3 }} | |||
* [[Jubilee]] {{multival|rank=3| 2 2 4 0 4 4 1 4 2 -2 }} | |||
* [[Mirwomo]] {{multival|rank=3| 2 -2 0 3 -5 5 15 -1 1 36 }} | |||
* [[Spectacle]] {{multival|rank=3| 2 4 0 -4 -5 -10 -10 -1 -2 -23 }} | |||
* [[Mandos]] {{multival|rank=3| 2 -4 0 -5 -5 10 7 -1 2 20 }} | |||
* [[Cuckoo]] {{multival|rank=3| 2 6 0 4 -5 -15 -2 -1 -3 -7 }} | |||
=== Complexity 3 === | |||
* [[Gamel]] {{multival|rank=3| 3 0 3 1 -11 -1 10 -14 -10 32 }} | |||
* [[Portent]] {{multival|rank=3| 3 0 -3 1 -4 1 10 11 10 17 }} | |||
* [[Orwellian]] {{multival|rank=3| 3 -1 -2 -3 0 -2 6 15 -1 -15 }} | |||
* [[Guanyin]] {{multival|rank=3| 3 -1 5 -3 -3 6 6 -6 -8 12 }} | |||
* [[Demeter]] {{multival|rank=3| 3 2 1 -3 -12 -7 -1 -11 -7 7 }} | |||
* [[Krypton]] {{multival|rank=3| 3 2 -1 -3 -3 -3 -1 8 5 -9 }} | |||
* [[Androboh]] {{multival|rank=3| 3 5 6 2 6 6 0 6 10 4 }} | |||
* [[Gariboh]] {{multival|rank=3| 3 5 -7 2 -13 -17 0 6 10 4 }} | |||
=== Complexity 4 === | |||
* [[Bisector]] {{multival|rank=3| 4 -2 2 -10 -2 6 0 6 -3 -15 }} | |||
=== Complexity 5 === | |||
* [[Lux]] {{multival|rank=3| 5 2 -4 13 -1 10 30 25 34 71 }} | * [[Lux]] {{multival|rank=3| 5 2 -4 13 -1 10 30 25 34 71 }} | ||
=== Complexity 6 === | |||
* [[Nexiquart]] {{multival|rank=3| 6 0 0 -51 -3 0 -64 16 0 -168 }} | * [[Nexiquart]] {{multival|rank=3| 6 0 0 -51 -3 0 -64 16 0 -168 }} | ||
* [[Trismegiboh]] {{multival|rank=3| 6 10 -1 4 -7 -11 0 12 20 8 }} | |||
=== Complexity 9 === | |||
* [[Galaxy]] {{multival|rank=3| 9 -14 -16 -14 -20 5 34 35 6 21 }} | * [[Galaxy]] {{multival|rank=3| 9 -14 -16 -14 -20 5 34 35 6 21 }} | ||
[[Category:Lists of temperaments]] | [[Category:Lists of temperaments]] | ||
[[Category:Exterior algebra]] | [[Category:Exterior algebra]] | ||