Hemimage temperaments

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

Commatic

7-limit

Commas: 10976/10935, 50421/50000

POTE generator: ~81/80 = 20.377

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

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

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

Badness: 0.0843

11-limit

Commas: 441/440, 3388/3375, 8019/8000

POTE generator: ~81/80 = 20.390

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

EDOs: 58, 118, 294, 412d

Badness: 0.0305

Chromat

Commas: 10976/10935, 235298/234375

POTE generator: ~28/27 = 60.528

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

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

EDOs: 60, 99, 258, 357, 456

Badness: 0.0575

Degrees

Commas: 10976/10935, 390625/388962

POTE generator: ~3/2 = 703.015

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

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

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

Badness: 0.1065

11-limit

Commas: 1331/1323, 1375/1372, 2200/2187

POTE generator: ~3/2 = 703.231

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

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

Badness: 0.0468

13-limit

Commas: 325/324, 352/351, 1001/1000, 1331/1323

POTE generator: ~3/2 = 703.080

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

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

Badness: 0.0327

Subfourth

Commas: 10976/10935, 65536/64827

POTE generator: ~21/16 = 475.991

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

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

Badness: 0.1407

11-limit

Commas: 540/539, 896/891, 12005/11979

POTE generator: ~21/16 = 475.995

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

EDOs: 58, 121, 179e, 300bde

Badness: 0.0453

13-limit

Commas: 352/351, 364/363, 540/539, 676/675

POTE generator: ~21/16 = 475.996

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

EDOs: 58, 121, 179ef, 300bdef

Badness: 0.0238