Semaphoresmic clan: Difference between revisions
m +cats |
m Cleanup; +links; +categories |
||
| Line 1: | Line 1: | ||
This clan tempers out the slendro diesis, [[49/48]], a triprime comma with factors of 2, 3 and 7. | |||
This clan tempers out the slendro diesis, [[ | |||
=Wilsec= | = Wilsec = | ||
Commas: 49/48, 121/120, 225/224 | Commas: 49/48, 121/120, 225/224 | ||
| Line 13: | Line 12: | ||
Badness: 0.0419 | Badness: 0.0419 | ||
==13-limit== | == 13-limit == | ||
Commas: 49/48, 65/64, 91/90, 121/120 | Commas: 49/48, 65/64, 91/90, 121/120 | ||
| Line 24: | Line 23: | ||
Badness: 0.0252 | Badness: 0.0252 | ||
==17-limit== | == 17-limit == | ||
Commas: 49/48, 65/64, 91/90, 121/120, 154/153 | Commas: 49/48, 65/64, 91/90, 121/120, 154/153 | ||
| Line 35: | Line 34: | ||
Badness: 0.0218 | Badness: 0.0218 | ||
==19-limit== | == 19-limit == | ||
Commas: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153 | Commas: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153 | ||
| Line 46: | Line 45: | ||
Badness: 0.0168 | Badness: 0.0168 | ||
=Nuke= | = Nuke = | ||
Commas: 49/48, 66/65, 77/75, 448/429 | Commas: 49/48, 66/65, 77/75, 448/429 | ||
| Line 57: | Line 56: | ||
Badness: 0.0486 | Badness: 0.0486 | ||
=Hemiripple= | = Hemiripple = | ||
{{see also| Mint temperaments #Ripple }} | |||
Commas: 49/48, 6561/6250 | Commas: 49/48, 6561/6250 | ||
| Line 70: | Line 71: | ||
Badness: 0.1751 | Badness: 0.1751 | ||
==11-limit== | == 11-limit == | ||
Commas: 49/48, 121/120, 567/550 | Commas: 49/48, 121/120, 567/550 | ||
| Line 81: | Line 82: | ||
Badness: 0.0668 | Badness: 0.0668 | ||
==13-limit== | == 13-limit == | ||
Commas: 49/48, 66/65, 121/120, 351/350 | Commas: 49/48, 66/65, 121/120, 351/350 | ||
| Line 94: | Line 95: | ||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament clan]] | [[Category:Temperament clan]] | ||
[[Category:Slendro]] | |||
[[Category:Rank 2]] | |||
Revision as of 17:08, 8 January 2021
This clan tempers out the slendro diesis, 49/48, a triprime comma with factors of 2, 3 and 7.
Wilsec
Commas: 49/48, 121/120, 225/224
POTE generator: ~11/8 = 537.186
Map: [<1 6 -1 5 4|, <0 -8 6 -4 -1|]
EDOs: 9, 20, 29, 38d, 67cde
Badness: 0.0419
13-limit
Commas: 49/48, 65/64, 91/90, 121/120
POTE generator: ~11/8 = 537.208
Map: [<1 6 -1 5 4 7|, <0 -8 6 -4 -1 -6|]
EDOs: 9, 20, 29, 38df, 67cdef
Badness: 0.0252
17-limit
Commas: 49/48, 65/64, 91/90, 121/120, 154/153
POTE generator: ~11/8 = 537.230
Map: [<1 6 -1 5 4 7 -2|, <0 -8 6 -4 -1 -6 11|]
EDOs: 9, 29g, 38df, 67cdefg
Badness: 0.0218
19-limit
Commas: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
POTE generator: ~11/8 = 537.214
Map: [<1 6 -1 5 4 7 -2 7|, <0 -8 6 -4 -1 -6 11 -5|]
EDOs: 9, 29g, 38df, 67cdefgh
Badness: 0.0168
Nuke
Commas: 49/48, 66/65, 77/75, 448/429
POTE generator: ~14/13 = 81.024
Map: [<1 2 2 3 3 4|, <0 -6 5 -3 7 -4|]
EDOs: 14e, 15, 44cdef
Badness: 0.0486
Hemiripple
Commas: 49/48, 6561/6250
POTE generator: ~21/20 = 50.826
Map: [<1 2 3 3|, <0 -10 -16 -5|]
Wedgie: <<10 16 5 2 -20 -33||
EDOs: 23d, 24, 47d, 71bd
Badness: 0.1751
11-limit
Commas: 49/48, 121/120, 567/550
POTE generator: ~21/20 = 50.826
Map: [<1 2 3 3 4|, <0 -10 -16 -5 -13|]
EDOs: 23de, 24, 47de, 71bde
Badness: 0.0668
13-limit
Commas: 49/48, 66/65, 121/120, 351/350
POTE generator: ~21/20 = 50.635
Map: [<1 2 3 3 4 4|, <0 -10 -16 -5 -13 -7|]
EDOs: 23de, 24, 47de, 71bde
Badness: 0.0466