Avicennmic temperaments

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These temper out the avicennma, 525/512, also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.

Roman

Commas: 525/512, 4000/3969

POTE generator: ~63/50 = 414.552

Map: [<1 4 3 -1|, <0 -7 -2 11|]

Wedgie: <<7 2 -11 -13 -37 -31||

EDOs: 23, 26, 29, 55c

Badness: 0.1134

11-limit

Commas: 100/99, 245/242, 1375/1344

POTE generator: ~14/11 = 414.471

Map: [<1 4 3 -1 0|, <0 -7 -2 11 10|]

EDOs: 23, 26, 29, 55c

Badness: 0.0528

13-limit

Commas: 65/64, 100/99, 105/104, 245/243

POTE generator: ~14/11 = 414.472

Map: [<1 4 3 -1 0 3|, <0 -7 -2 11 10 2|]

EDOs: 23, 26, 29, 55

Badness: 0.0300

17-limit

Commas: 35/34, 52/51, 100/99, 169/168, 275/273

POTE generator: ~14/11 = 414.164

Map: [<1 4 3 -1 0 3 1|, <0 -7 -2 11 10 2 9|]

EDOs: 26, 29, 84, 113

Badness: 0.0416

19-limit

Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168

POTE generator: ~14/11 = 414.130

Map: [<1 4 3 -1 0 3 1 7|, <0 -7 -2 11 10 2 9 -8|]

EDOs: 26g, 29

Badness: 0.0337

Secund

Commas: 405/392, 525/512

POTE generator: ~16/15 = 137.958

Map: [<1 1 3 2|, <0 5 -6 7|]

Wedgie: <<5 -6 7 -21 -3 33||

EDOs: 9, 17, 26, 61bc, 87bc

Badness: 0.0898

11-limit

Commas: 45/44, 99/98, 385/384

POTE generator: ~12/11 = 137.900

Map: [<1 1 3 2 3|, <0 5 -6 7 4|]

EDOs: 9, 17, 26, 61bc, 87bc

Badness: 0.0426

13-limit

Commas: 27/26, 45/44, 99/98, 385/384

POTE generator: ~12/11 = 136.937

Map: [<1 1 3 2 3 2|, <0 5 -6 7 4 15|]

EDOs: 9, 26f, 35

Badness: 0.0497

Secundly

Commas: 45/44, 78/77, 81/80, 640/637

POTE generator: ~12/11 = 137.917

Map: [<1 1 3 2 3 3|, <0 5 -6 7 4 6|]

EDOs: 9, 17, 26, 61bcf, 87bcf

Badness: 0.0262