Hemimage temperaments

Hemimage temperaments temper out the hemimage comma, [5 -7 -1 3⟩ = 10976/10935.

Discussed elsewhere are:

• Quasisuper
• Liese
• Alicorn
• Magic
• Guiron
• Echidna
• Hemififths
• Parakleismic
• Pluto
• Hendecatonic
• Yarman

Commatic

Subgroup: 2.3.5.7

Comma list: 10976/10935, 50421/50000

Mapping: [<2 3 4 5|, <0 5 19 18|]

Wedgie: <<10 38 36 37 29 -23||

POTE generator: ~81/80 = 20.377

EDOs: 58, 118, 294, 412d, 530d

Badness: 0.0843

11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 3388/3375, 8019/8000

Mapping: [<2 3 4 5 6|, <0 5 19 18 27|]

POTE generator: ~81/80 = 20.390

EDOs: 58, 118, 294, 412d

Badness: 0.0305

Chromat

See also: Amity family

Subgroup: 2.3.5.7

Comma list: 10976/10935, 235298/234375

Mapping: [<3 4 5 6|, <0 5 13 16|]

Wedgie: <<15 39 48 27 34 2||

POTE generator: ~28/27 = 60.528

EDOs: 60, 99, 258, 357, 456

Badness: 0.0575

Degrees

Subgroup: 2.3.5.7

Comma list: 10976/10935, 390625/388962

Mapping: [<20 0 -17 -39|, <0 1 2 3|]

Wedgie: <<20 40 60 17 39 27||

POTE generator: ~3/2 = 703.015

EDOs: 60, 80, 140, 640b, 780b, 920b

Badness: 0.1065

11-limit

Subgroup: 2.3.5.7.11

Comma list: 1331/1323, 1375/1372, 2200/2187

Mapping: [<20 0 -17 -39 -26|, <0 1 2 3 3|]

POTE generator: ~3/2 = 703.231

EDOs: 80, 140, 360, 500be, 860bde

Badness: 0.0468

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 325/324, 352/351, 1001/1000, 1331/1323

Mapping: [<20 0 -17 -39 -26 74|, <0 1 2 3 3 0|]

POTE generator: ~3/2 = 703.080

EDOs: 60e, 80, 140, 500be, 640be, 780be

Badness: 0.0327

Subfourth

Subgroup: 2.3.5.7

Comma list: 10976/10935, 65536/64827

Mapping: [<1 0 17 4|, <0 4 -37 -3|]

POTE generator: ~21/16 = 475.991

EDOs: 58, 121, 179, 300bd, 479bcd

Badness: 0.1407

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 896/891, 12005/11979

Mapping: [<1 0 17 4 11|, <0 4 -37 -3 -19|]

POTE generator: ~21/16 = 475.995

EDOs: 58, 121, 179e, 300bde

Badness: 0.0453

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 352/351, 364/363, 540/539, 676/675

Mapping: [<1 0 17 4 11 16|, <0 4 -37 -3 -19 -31|]

POTE generator: ~21/16 = 475.996

EDOs: 58, 121, 179ef, 300bdef

Badness: 0.0238

Bisupermajor

See also: Very high accuracy temperaments § Kwazy

Subgroup: 2.3.5.7

Comma list: 10976/10935, 65625/65536

Mapping: [<2 1 6 1|, <0 8 -5 17|]

POTE generator: ~192/175 = 162.8061

EDOs: 22, 74d, 96d, 118, 140, 258, 398

Badness: 0.0655

11-limit

Subgroup: 2.3.5.7.11

Comma list: 385/384, 3388/3375, 9801/9800

Mapping: [<2 1 6 1 8|, <0 8 -5 17 -4|]

POTE generators: ~11/10 = 162.7733

EDOs: 22, 74d, 96d, 118, 258e, 376de

Badness: 0.0321