Avicennmic temperaments: Difference between revisions
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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. | 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= | == Roman == | ||
Commas: 525/512, 4000/3969 | Commas: 525/512, 4000/3969 | ||
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Badness: 0.1134 | Badness: 0.1134 | ||
==11-limit== | === 11-limit === | ||
Commas: 100/99, 245/242, 1375/1344 | Commas: 100/99, 245/242, 1375/1344 | ||
| Line 26: | Line 26: | ||
Badness: 0.0528 | Badness: 0.0528 | ||
==13-limit== | === 13-limit === | ||
Commas: 65/64, 100/99, 105/104, 245/243 | Commas: 65/64, 100/99, 105/104, 245/243 | ||
| Line 37: | Line 37: | ||
Badness: 0.0300 | Badness: 0.0300 | ||
==17-limit== | === 17-limit === | ||
Commas: 35/34, 52/51, 100/99, 169/168, 275/273 | Commas: 35/34, 52/51, 100/99, 169/168, 275/273 | ||
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Badness: 0.0416 | Badness: 0.0416 | ||
==19-limit== | === 19-limit === | ||
Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168 | Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168 | ||
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Badness: 0.0337 | Badness: 0.0337 | ||
=Secund= | == Secund == | ||
Commas: 405/392, 525/512 | Commas: 405/392, 525/512 | ||
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Badness: 0.0898 | Badness: 0.0898 | ||
==11-limit== | === 11-limit === | ||
Commas: 45/44, 99/98, 385/384 | Commas: 45/44, 99/98, 385/384 | ||
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Badness: 0.0426 | Badness: 0.0426 | ||
==13-limit== | === 13-limit === | ||
Commas: 27/26, 45/44, 99/98, 385/384 | Commas: 27/26, 45/44, 99/98, 385/384 | ||
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Badness: 0.0497 | Badness: 0.0497 | ||
==Secundly== | === Secundly === | ||
Commas: 45/44, 78/77, 81/80, 640/637 | Commas: 45/44, 78/77, 81/80, 640/637 | ||
Revision as of 19:22, 3 June 2021
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||
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