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