A-team: Difference between revisions
Line 11: | Line 11: | ||
! | Cents (*) | ! | Cents (*) | ||
! | Ratios (**) | ! | Ratios (**) | ||
! | Octatonic notation | |||
! | Generators | ! | Generators | ||
! | 2/1 inverse (*) | ! | 2/1 inverse (*) | ||
! | Ratios (**) | ! | Ratios (**) | ||
! | Octatonic notation | |||
|- | |- | ||
| style="text-align:center;" | 0 | | style="text-align:center;" | 0 | ||
| style="text-align:right;" | 0.00 | | style="text-align:right;" | 0.00 | ||
| style="text-align:center;" | 1/1 | | style="text-align:center;" | 1/1 | ||
| style="text-align:center;" | P1 | |||
| style="text-align:center;" | 0 | | style="text-align:center;" | 0 | ||
| style="text-align:right;" | 1200.00 | | style="text-align:right;" | 1200.00 | ||
| style="text-align:center;" | 2/1 | | style="text-align:center;" | 2/1 | ||
| style="text-align:center;" | P9 | |||
|- | |- | ||
| style="text-align:center;" | 1 | | style="text-align:center;" | 1 | ||
| style="text-align:right;" | 463.5 | | style="text-align:right;" | 463.5 | ||
| style="text-align:center;" | '''21/16''', 13/10 | | style="text-align:center;" | '''21/16''', 13/10 | ||
| style="text-align:center;" | P4 | |||
| style="text-align:center;" | -1 | | style="text-align:center;" | -1 | ||
| style="text-align:right;" | 736.5 | | style="text-align:right;" | 736.5 | ||
| style="text-align:center;" | 32/21, 20/13 | | style="text-align:center;" | 32/21, 20/13 | ||
| style="text-align:center;" | P5 | |||
|- | |- | ||
| style="text-align:center;" | 2 | | style="text-align:center;" | 2 | ||
| style="text-align:right;" | 927.0 | | style="text-align:right;" | 927.0 | ||
| style="text-align:center;" | 12/7 | | style="text-align:center;" | 12/7 | ||
| style="text-align:center;" | M7 | |||
| style="text-align:center;" | -2 | | style="text-align:center;" | -2 | ||
| style="text-align:right;" | 273.0 | | style="text-align:right;" | 273.0 | ||
| style="text-align:center;" | 7/6 | | style="text-align:center;" | 7/6 | ||
| style="text-align:center;" | m3 | |||
|- | |- | ||
| style="text-align:center;" | 3 | | style="text-align:center;" | 3 | ||
| style="text-align:right;" | 190.5 | | style="text-align:right;" | 190.5 | ||
| style="text-align:center;" | '''9/8''', 10/9 | | style="text-align:center;" | '''9/8''', 10/9 | ||
| style="text-align:center;" | M2 | |||
| style="text-align:center;" | -3 | | style="text-align:center;" | -3 | ||
| style="text-align:right;" | 1009.5 | | style="text-align:right;" | 1009.5 | ||
| style="text-align:center;" | 16/9, 9/5 | | style="text-align:center;" | 16/9, 9/5 | ||
| style="text-align:center;" | m8 | |||
|- | |- | ||
| style="text-align:center;" | 4 | | style="text-align:center;" | 4 | ||
| style="text-align:right;" | 654.0 | | style="text-align:right;" | 654.0 | ||
| style="text-align:center;" | 16/11, 13/9 | | style="text-align:center;" | 16/11, 13/9 | ||
| style="text-align:center;" | M5 | |||
| style="text-align:center;" | -4 | | style="text-align:center;" | -4 | ||
| style="text-align:right;" | 546.0 | | style="text-align:right;" | 546.0 | ||
| style="text-align:center;" | '''11/8''', 18/13 | | style="text-align:center;" | '''11/8''', 18/13 | ||
| style="text-align:center;" | m5 | |||
|- | |- | ||
| style="text-align:center;" | 5 | | style="text-align:center;" | 5 | ||
| style="text-align:right;" | 1117.5 | | style="text-align:right;" | 1117.5 | ||
| style="text-align:center;" | 40/21, 21/11 | | style="text-align:center;" | 40/21, 21/11 | ||
| style="text-align:center;" | M8 | |||
| style="text-align:center;" | -5 | | style="text-align:center;" | -5 | ||
| style="text-align:right;" | 82.5 | | style="text-align:right;" | 82.5 | ||
| style="text-align:center;" | 21/20, 22/21, 23/22 | | style="text-align:center;" | 21/20, 22/21, 23/22 | ||
| style="text-align:center;" | m2 | |||
|- | |- | ||
| style="text-align:center;" | 6 | | style="text-align:center;" | 6 | ||
| style="text-align:right;" | 381.0 | | style="text-align:right;" | 381.0 | ||
| style="text-align:center;" | '''5/4''' | | style="text-align:center;" | '''5/4''' | ||
| style="text-align:center;" | M3 | |||
| style="text-align:center;" | -6 | | style="text-align:center;" | -6 | ||
| style="text-align:right;" | 819.0 | | style="text-align:right;" | 819.0 | ||
| style="text-align:center;" | 8/5 | | style="text-align:center;" | 8/5 | ||
| style="text-align:center;" | m7 | |||
|- | |- | ||
| style="text-align:center;" | 7 | | style="text-align:center;" | 7 | ||
| style="text-align:right;" | 844.5 | | style="text-align:right;" | 844.5 | ||
| style="text-align:center;" | 18/11, '''13/8''' | | style="text-align:center;" | 18/11, '''13/8''' | ||
| style="text-align:center;" | A5 | |||
| style="text-align:center;" | -7 | | style="text-align:center;" | -7 | ||
| style="text-align:right;" | 355.5 | | style="text-align:right;" | 355.5 | ||
| style="text-align:center;" | 11/9, 16/13 | | style="text-align:center;" | 11/9, 16/13 | ||
| style="text-align:center;" | d4 | |||
|- | |- | ||
| style="text-align:center;" | 8 | | style="text-align:center;" | 8 | ||
| style="text-align:right;" | 108.0 | | style="text-align:right;" | 108.0 | ||
| style="text-align:center;" | '''17/16''' | | style="text-align:center;" | '''17/16''' | ||
| style="text-align:center;" | | |||
| style="text-align:center;" | -8 | | style="text-align:center;" | -8 | ||
| style="text-align:right;" | 1092.0 | | style="text-align:right;" | 1092.0 | ||
| style="text-align:center;" | (close to '''15/8''') | | style="text-align:center;" | (close to '''15/8''') | ||
| style="text-align:center;" | | |||
|- | |- | ||
| style="text-align:center;" | 9 | | style="text-align:center;" | 9 | ||
| style="text-align:right;" | 571.5 | | style="text-align:right;" | 571.5 | ||
| style="text-align:center;" | | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| style="text-align:center;" | -9 | | style="text-align:center;" | -9 | ||
| style="text-align:right;" | 628.5 | | style="text-align:right;" | 628.5 | ||
| style="text-align:center;" | '''23/16''' | | style="text-align:center;" | '''23/16''' | ||
| style="text-align:center;" | | |||
|- | |- | ||
| style="text-align:center;" | 10 | | style="text-align:center;" | 10 | ||
| style="text-align:right;" | 1035.0 | | style="text-align:right;" | 1035.0 | ||
| style="text-align:center;" | 20/11 | | style="text-align:center;" | 20/11 | ||
| style="text-align:center;" | | |||
| style="text-align:center;" | -10 | | style="text-align:center;" | -10 | ||
| style="text-align:right;" | 165.0 | | style="text-align:right;" | 165.0 | ||
| style="text-align:center;" | 11/10 | | style="text-align:center;" | 11/10 | ||
| style="text-align:center;" | | |||
|- | |- | ||
| style="text-align:center;" | 11 | | style="text-align:center;" | 11 | ||
| style="text-align:right;" | 298.5 | | style="text-align:right;" | 298.5 | ||
| style="text-align:center;" | 13/11, '''19/16''' | | style="text-align:center;" | 13/11, '''19/16''' | ||
| style="text-align:center;" | | |||
| style="text-align:center;" | -11 | | style="text-align:center;" | -11 | ||
| style="text-align:right;" | 901.5 | | style="text-align:right;" | 901.5 | ||
| style="text-align:center;" | 22/13 | | style="text-align:center;" | 22/13 | ||
| style="text-align:center;" | | |||
|- | |- | ||
| style="text-align:center;" | 12 | | style="text-align:center;" | 12 | ||
| style="text-align:right;" | 762.0 | | style="text-align:right;" | 762.0 | ||
| style="text-align:center;" | close to 14/9 | | style="text-align:center;" | close to 14/9 | ||
| style="text-align:center;" | | |||
| style="text-align:center;" | -12 | | style="text-align:center;" | -12 | ||
| style="text-align:right;" | 438.0 | | style="text-align:right;" | 438.0 | ||
| style="text-align:center;" | close to 9/7 | | style="text-align:center;" | close to 9/7 | ||
| style="text-align:center;" | | |||
|} | |} | ||
(*) using the 2.9.21.5.11.13 POTE generator; cf. the 463.64¢ generator in 44edo | (*) using the 2.9.21.5.11.13 POTE generator; cf. the 463.64¢ generator in 44edo | ||
(**) 2.9.21.5.11.13.17.19.23 interpretations | (**) 2.9.21.5.11.13.17.19.23 interpretations |