Catalog of temperaments by wedgie: Difference between revisions

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+ some rank-3 temps
Update
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* [[Namaka]] {{multival|rank=3| 2 2 2 12 -9 -21 20 -12 -32 18 }}
* [[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 }}
* [[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 }}
* [[Jubilismic]] {{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 }}
* [[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 }}
* [[Spectacle]] {{multival|rank=3| 2 4 0 -4 -5 -10 -10 -1 -2 -23 }}

Revision as of 07:41, 28 January 2026

Below are listed wedgies for 7-limit rank-2 and 11-limit rank-3 temperaments in the order of increasing complexity of the 2.3 subgroup or 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

Complexity 0

Complexity 1

Complexity 2

Complexity 3

  • Deflated ⟨⟨3 0 -3 -7 -13 -7]]
  • August ⟨⟨3 0 6 -7 1 14]]
  • Augene ⟨⟨3 0 -6 -7 -18 -14]]
  • Inflated ⟨⟨3 0 9 -7 6 21]]
  • Gidorah ⟨⟨3 2 -1 -4 -10 -8]]
  • Penta ⟨⟨3 2 4 -4 -2 4]]
  • Hystrix ⟨⟨ 3 5 1 1 -7 -12]]
  • Oxygen ⟨⟨3 5 2 1 -5 -9]]
  • Porcupine ⟨⟨3 5 -6 1 -18 -28 ]]
  • Opossum ⟨⟨3 5 9 1 6 7]]
  • Coendou ⟨⟨3 5 -13 1 -29 -44]]
  • Porky ⟨⟨3 5 16 1 17 23]]
  • Progress ⟨⟨3 -5 -6 -15 -18 0]]
  • Gorgo ⟨⟨3 7 -1 4 -10 -22]]
  • Triton ⟨⟨3 -7 -8 -18 -21 1]]
  • Pycnic ⟨⟨3 -7 11 -18 9 45]]
  • Clyndro ⟨⟨3 -9 -1 -21 -10 23]]
  • Parakangaroo ⟨⟨3 10 9 9 6 -7]]
  • Mothra ⟨⟨3 12 -1 12 -10 -36]]
  • Liese ⟨⟨3 12 11 12 9 -8]]
  • Fog ⟨⟨3 -12 -18 -26 -37 -8]]
  • Misty ⟨⟨3 -12 -30 -26 -56 -36]]
  • Rodan ⟨⟨3 17 -1 20 -10 -50]]
  • Guiron ⟨⟨3 -24 -1 -45 -10 65]]
  • Squirrel ⟨⟨3 -24 -13 -45 -29 37]]
  • Tertiaschis ⟨⟨3 -24 52 -45 74 188]]
  • Term ⟨⟨3 -24 -54 -45 -94 -58]]

Complexity 4

Complexity 5

Complexity 6

Complexity 7

Complexity 8

Complexity 9

Complexity 10

Complexity 11

Complexity 12

Complexity 13

Complexity 14

Complexity 15

Complexity 16

Complexity 17

  • Semisept ⟨⟨17 6 15 -30 -24 18]]
  • Maquiloid ⟨⟨17 -6 13 -49 -27 47]]
  • Maquila ⟨⟨17 -6 22 -49 -13 68]]
  • Hyperkleismic ⟨⟨17 16 3 -14 -43 -38]]
  • Oolong ⟨⟨17 18 20 -11 -16 -4]]
  • Majo ⟨⟨17 23 -26 -3 -89 -125]]
  • Maja ⟨⟨17 23 27 -3 -5 -2]]
  • Slendi ⟨⟨17 28 8 5 -35 -60]]
  • Mitonic ⟨⟨17 35 -21 16 -81 -147]]

Complexity 18

Complexity 19

Complexity 20

Complexity 21

Complexity 22

Complexity 23

Complexity 24

Higher complexity

Rank-3 temperaments

Complexity 0

  • Rabic ⟨⟨⟨0 0 0 24 0 0 38 0 0 83]]]
  • Erato ⟨⟨⟨0 0 1 0 4 10 0 4 13 12]]]
  • Negric ⟨⟨⟨0 0 4 0 -3 2 0 -14 -8 13]]]
  • Supernatural ⟨⟨⟨0 0 5 0 1 12 0 -10 5 25]]]
  • Sensigh ⟨⟨⟨0 0 7 0 9 13 0 -2 1 5]]]
  • Thalia ⟨⟨⟨0 1 0 4 0 1 4 0 5 16]]]
  • Calliope ⟨⟨⟨0 1 0 4 0 -6 4 0 -6 0]]]
  • Melpomene ⟨⟨⟨0 1 1 4 4 4 4 4 7 12]]]
  • Clio ⟨⟨⟨0 1 1 4 4 -8 4 4 -12 -16]]]
  • Polyhymnia ⟨⟨⟨0 1 -1 4 -4 3 4 -4 11 32]]]
  • Euterpe ⟨⟨⟨0 1 2 4 8 2 4 8 1 -4]]]
  • Terpsichore ⟨⟨⟨0 1 -2 4 -8 -7 4 -8 -2 20]]]
  • Urania ⟨⟨⟨0 2 0 8 0 -5 8 0 -1 16]]]
  • Varda ⟨⟨⟨0 2 2 -4 -4 8 -11 -11 14 16]]]
  • Augustus ⟨⟨⟨0 2 -2 -4 4 -6 -11 11 3 -39]]]
  • Tiberius ⟨⟨⟨0 2 4 -4 -8 -8 -11 -22 -17 -10]]]
  • Claudius ⟨⟨⟨0 2 -4 -4 8 -2 -11 22 15 -41]]]
  • Sonic ⟨⟨⟨0 3 0 5 0 -4 1 0 4 8]]]
  • Tikal ⟨⟨⟨0 3 3 5 5 5 1 1 10 15]]]
  • Altierran ⟨⟨⟨0 5 1 -40 -8 6 -75 -15 24 -102]]]
  • Schisnex ⟨⟨⟨0 6 0 -48 0 -3 -90 0 16 -173]]]

Complexity 1

  • Vulcan ⟨⟨⟨1 0 -1 2 2 2 6 9 6 6]]]
  • Ares ⟨⟨⟨1 0 2 2 2 -4 6 2 -12 -8]]]
  • Pele ⟨⟨⟨1 1 1 6 10 4 10 17 7 2]]]
  • Laka ⟨⟨⟨1 1 -1 6 -15 -9 10 -18 -8 42]]]
  • Akea ⟨⟨⟨1 1 -2 6 -7 5 10 -3 17 52]]]
  • Lono ⟨⟨⟨1 1 3 6 6 -12 10 6 -24 -24]]]
  • Nickel ⟨⟨⟨1 -1 1 -2 -2 4 2 -2 0 8]]]
  • Keemic ⟨⟨⟨1 -3 2 -3 2 0 5 2 -16 -16]]]

Complexity 2

  • Parahemif ⟨⟨⟨2 0 0 -13 -5 0 -15 -1 0 -31]]]
  • Selenium ⟨⟨⟨2 0 -2 -1 -1 -1 4 10 4 -3]]]
  • Sensamagic ⟨⟨⟨2 -1 -1 -5 3 -4 0 14 -7 -35]]]
  • Shrusus ⟨⟨⟨2 -1 3 -5 -5 10 0 -8 4 20]]]
  • Octarod ⟨⟨⟨2 -1 4 -5 4 8 0 4 -2 -10]]]
  • Sensawer ⟨⟨⟨2 -1 -4 -5 -14 -3 0 -6 3 15]]]
  • Fiesta ⟨⟨⟨2 2 0 0 0 0 1 7 7 0]]]
  • Kahoupokane ⟨⟨⟨2 2 1 12 -1 -7 20 3 -7 28]]]
  • Kapo ⟨⟨⟨2 2 -1 12 3 9 20 14 24 54]]]
  • Festival ⟨⟨⟨2 2 2 0 -4 -4 1 -4 -5 2]]]
  • Namaka ⟨⟨⟨2 2 2 12 -9 -21 20 -12 -32 18]]]
  • Jamboree ⟨⟨⟨2 2 -2 0 -6 -6 1 2 3 3]]]
  • Jubilismic ⟨⟨⟨2 2 4 0 4 4 1 4 2 -2]]]
  • Mirwomo ⟨⟨⟨2 -2 0 3 -5 5 15 -1 1 36]]]
  • Spectacle ⟨⟨⟨2 4 0 -4 -5 -10 -10 -1 -2 -23]]]
  • Mandos ⟨⟨⟨2 -4 0 -5 -5 10 7 -1 2 20]]]
  • Cuckoo ⟨⟨⟨2 6 0 4 -5 -15 -2 -1 -3 -7]]]

Complexity 3

  • Gamel ⟨⟨⟨3 0 3 1 -11 -1 10 -14 -10 32]]]
  • Portent ⟨⟨⟨3 0 -3 1 -4 1 10 11 10 17]]]
  • Orwellian ⟨⟨⟨3 -1 -2 -3 0 -2 6 15 -1 -15]]]
  • Guanyin ⟨⟨⟨3 -1 5 -3 -3 6 6 -6 -8 12]]]
  • Demeter ⟨⟨⟨3 2 1 -3 -12 -7 -1 -11 -7 7]]]
  • Krypton ⟨⟨⟨3 2 -1 -3 -3 -3 -1 8 5 -9]]]
  • Androboh ⟨⟨⟨3 5 6 2 6 6 0 6 10 4]]]
  • Gariboh ⟨⟨⟨3 5 -7 2 -13 -17 0 6 10 4]]]

Complexity 4

  • Bisector ⟨⟨⟨4 -2 2 -10 -2 6 0 6 -3 -15]]]

Complexity 5

  • Lux ⟨⟨⟨5 2 -4 13 -1 10 30 25 34 71]]]

Complexity 6

  • Nexiquart ⟨⟨⟨6 0 0 -51 -3 0 -64 16 0 -168]]]
  • Trismegiboh ⟨⟨⟨6 10 -1 4 -7 -11 0 12 20 8]]]

Complexity 9

  • Galaxy ⟨⟨⟨9 -14 -16 -14 -20 5 34 35 6 21]]]