Varunismic temperaments

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

Temperaments discussed elsewhere are:

• Injera, {50/49, 81/80} → Meantone family #Injera
• Diaschismic, {126/125, 2048/2025} → Diaschismic family #Diaschismic
• Compton, {225/224, 250047/250000} → Compton family #Compton
• Bamity, {245/243, 64827/64000} → Amity family #Bamity
• Unidec, {1029/1024, 4375/4374} → Gamelismic clan #Unidec
• Harry, {2401/2400, 19683/19600} → Breedsmic temperaments #Harry
• Bischismic, {3136/3125, 32805/32768} → Schismatic family #Bischismic
• Bison, {6144/6125, 78732/78125} → Sensipent family #Bison
• Commatic, {10976/10935, 50421/50000} → Hemimage temperaments #Commatic
• Narayana, {65625/65536, 321489/320000} → Vishnuzmic family #Narayana
• Decal, {235298/234375, 321489/320000} → Pental family #Decal
• Bosonic, {321489/320000, 589824/588245} → 26th-octave temperaments #Bosonic

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

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: Template:Val list

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: Template:Val list

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

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: Template:Val list

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: Template:Val list

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: Template:Val list

Badness: 0.030192