Cataharry temperaments

This is a collection of rank-2 temperaments tempering out the cataharry comma, [-4 9 -2 -2⟩ = 19683/19600. These include swetneus, considered below, as well as others discussed elsewhere:

• godzilla, {49/48, 81/80} → Meantone family #Godzilla
• immunized, {64/63, 8748/8575} → Immunity family #Immunized
• unicorn, {126/125, 10976/10935} → Unicorn family #Septimal unicorn
• catakleismic, {225/224, 4375/4374} → Kleismic family #Catakleismic
• hemiseven, {1029/1024, 19683/19600} → Gamelismic clan #Hemiseven
• buzzard, {1728/1715, 5120/5103} → Hemifamity temperaments #Buzzard
• harry, {2401/2400, 19683/19600} → Breedsmic temperaments #Harry
• hamity, {2430/2401, 4000/3969} → Amity family #Hamity
• subpental, {3136/3125, 19683/19600} → Hemimean clan #Subpental
• hemischis, {6144/6125, 19683/19600} → Porwell temperaments #Hemischis
• mirkat, {16875/16807, 19683/19600} → Mirkwai clan #Mirkat
• hours, {19683/19600, 33075/32768} → Compton family #Hours

Swetneus

The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.

Subgroup: 2.3.5.7

Comma list: 19683/19600, 50421/50000

Mapping: [⟨1 4 8 8], ⟨0 -20 -47 -43]]

Wedgie: ⟨⟨ 20 47 43 28 12 -32 ]]

POTE generator: ~49/45 = 144.956

Badness: 0.1332

11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 3388/3375, 19683/19600

Mapping: [⟨1 4 8 8 13], ⟨0 -20 -47 -43 -79]]

POTE generator: ~49/45 = 144.941

Vals: Template:Val list

Badness: 0.0552

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 441/440, 676/675, 847/845

Mapping: [⟨1 4 8 8 13 13], ⟨0 -20 -47 -43 -79 -77]]

POTE generator: ~49/45 = 144.939

Vals: Template:Val list

Badness: 0.0289