Varunismic temperaments

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This is a collection of rank-2 temperaments tempering out the varunisma, 321489/320000 = [-9 8 -4 2.

Temperaments discussed elsewhere are:

Essence

Essence is of interest because of the abundant supply of essentially tempered chords.

Subgroup: 2.3.5.7

Comma list: 321489/320000, 823543/820125

Mapping: [2 10 27 23], 0 -11 -36 -28]]

Wedgie⟨⟨22 72 56 63 27 -72]]

POTE generator: ~243/196 = 372.597

Vals58, 132d, 190, 248, 438d, 686d

Badness: 0.173565

11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 8019/8000, 456533/455625

POTE generator: ~150/121 = 372.599

Mapping: [2 10 27 23 33], 0 -11 -36 -28 -42]]

Vals: 58, 132de, 190, 248, 438d

Badness: 0.046447

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 441/440, 729/728, 847/845, 1001/1000

POTE generator: ~26/21 = 372.602

Mapping: [2 10 27 23 33 31], 0 -11 -36 -28 -42 -38]]

Vals: 58, 132de, 190, 248, 438d

Badness: 0.026107

Octowerck

Subgroup: 2.3.5.7

Comma list: 321489/320000, 420175/419904

Mapping: [8 0 -11 14], 0 3 7 2]]

Mapping generators: ~160/147, ~350/243

POTE generator: ~350/243 = 633.738

Vals32c, 72, 176, 248, 320

Badness: 0.102295

11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 8019/8000, 41503/41472

Mapping: [8 0 -11 14 15], 0 3 7 2 3]]

POTE generator: ~121/84 = 633.755

Vals: 32c, 72, 176, 248, 320

Badness: 0.030159

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 441/440, 729/728, 1001/1000, 6656/6655

Mapping: [8 0 -11 14 15 -38], 0 3 7 2 3 16]]

POTE generator: ~75/52 = 633.742

Vals: 72, 176f, 248, 320

Badness: 0.027632

Octowerckis

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 364/363, 441/440, 2197/2187

Mapping: [8 0 -11 14 15 0], 0 3 7 2 3 7]]

POTE generator: ~13/9 = 633.8370

Vals: 32cf, 72, 176, 248f

Badness: 0.030192