The gravity family tempers out graviton, the 5-limit comma 129140163/128000000 = [-13 17 -6. The graviton equals (81/80)4/(25/24), so that four 81/80 commas come to a classic chromatic semitone. The generator of gravity temperament is a grave fifth of 40/27, and hence the name. It is part of the syntonic-chromatic equivalence continuum, whereby (81/80)k = 25/24.

Temperaments not discussed here include marvo.

Gravity

Comma: 129140163/128000000

POTE generator: ~40/27 = 683.156

Map: [<1 5 12|, <0 -6 -17|]

EDOs: 7, 58, 65, 137, 202, 267, 469

Badness: 0.0932

Harry

Harry temperament can be described as 58&72 temperament, tempering out 7-limit commas 2401/2400 and 19683/19600; 11-limit commas 243/242, 441/440 and 4000/3993, leading to a period of a half octave and a generator of minor semitone tempered between 21/20 and 22/21. Harry temperament also equates 14/13 with 27/25 in the 13-limit, 17/16 with 18/17 and 13/11 with 20/17 in the 17-limit.

Subgroup: 2.3.5.7

Comma list: 2401/2400, 19683/19600

Mapping: [2 4 7 7], 0 -6 -17 -10]]

Wedgie⟨⟨ 12 34 20 26 -2 -49 ]]

POTE generator: ~21/20 = 83.156

Template:Val list

Badness: 0.034077

11-limit

Subgroup: 2.3.5.7.11

Comma list: 243/242, 441/440, 4000/3993

Mapping: [2 4 7 7 9], 0 -6 -17 -10 -15]]

POTE generator: ~21/20 = 83.167

Vals: Template:Val list

Badness: 0.015867

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 243/242, 351/350, 441/440, 676/675

Mapping: [2 4 7 7 9 11], 0 -6 -17 -10 -15 -26]]

POTE generator: ~21/20 = 83.116

Vals: Template:Val list

Badness: 0.013046

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 221/220, 243/242, 289/288, 351/350, 441/440

Mapping: [2 4 7 7 9 11 9], 0 -6 -17 -10 -15 -26 -6]]

POTE generator: ~21/20 = 83.168

Vals: Template:Val list

Badness: 0.012657

Gravid

Commas: 126/125, 1605632/1594323

POTE generator: ~27/20 = 517.140

Map: [<1 -1 -5 -14|, <0 6 17 39|]

Wedgie: <<6 17 39 13 45 43||

EDOs: 7d, 58, 65, 123, 181c

Badness: 0.1312

11-limit

Commas: 126/125, 243/242, 896/891

POTE generator: ~27/20 = 517.155

Map: [<1 -1 -5 -14 -3|, <0 6 17 39 15|]

EDOs: 7d, 58, 65, 123, 181ce

Badness: 0.0473

Zarvo

Commas: 4375/4374, 33075/32768

POTE generator: ~27/20 = 516.702

Map: [<1 -1 -5 14|, <0 6 17 -26|]

Wedgie: <<6 17 -26 13 -58 -108||

EDOs: 7, 65, 72

Badness: 0.0968

11-limit

Commas: 243/242, 385/384, 4000/3993

POTE generator: ~27/20 = 516.691

Map: [<1 -1 -5 14 -3|, <0 6 17 -26 15|]

EDOs: 7, 65, 72

Badness: 0.0348

13-limit

Commas: 169/168, 243/242, 325/324, 385/384

POTE generator: ~27/20 = 516.667

Map: [<1 -1 -5 14 -3 8|, <0 6 17 -26 15 -10|]

EDOs: 7, 65f, 72, 79

Badness: 0.0276