Xenharmonic Wiki

Amity family: Difference between revisions

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m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
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Line 59: Line 59:
Comma list: 540/539, 4375/4374, 5120/5103
Comma list: 540/539, 4375/4374, 5120/5103


Mapping: {{mapping| 1 -2 -7 15 -41 | 0 5 13 -17 62 }}
{{Mapping|legend=0| 1 -2 -7 15 -41 | 0 5 13 -17 62 }}


Optimal tunings:
Optimal tunings:
Line 74: Line 74:
Comma list: 352/351, 540/539, 625/624, 729/728
Comma list: 352/351, 540/539, 625/624, 729/728


Mapping: {{mapping| 1 -2 -7 15 -41 -30 | 0 5 13 -17 62 47 }}
{{Mapping|legend=0| 1 -2 -7 15 -41 -30 | 0 5 13 -17 62 47 }}


Optimal tunings:
Optimal tunings:
Line 91: Line 91:
Comma list: 256/255, 352/351, 375/374, 540/539, 729/728
Comma list: 256/255, 352/351, 375/374, 540/539, 729/728


Mapping: {{mapping| 1 -2 -7 15 -41 -30 17 | 0 5 13 -17 62 47 -18 }}
{{Mapping|legend=0| 1 -2 -7 15 -41 -30 17 | 0 5 13 -17 62 47 -18 }}


Optimal tunings:  
Optimal tunings:  
Line 106: Line 106:
Comma list: 256/255, 324/323, 352/351, 375/374, 400/399, 456/455
Comma list: 256/255, 324/323, 352/351, 375/374, 400/399, 456/455


Mapping: {{mapping| 1 -2 -7 15 -41 -30 17 -23 | 0 5 13 -17 62 47 -18 38 }}
{{Mapping|legend=0| 1 -2 -7 15 -41 -30 17 -23 | 0 5 13 -17 62 47 -18 38 }}


Optimal tunings:  
Optimal tunings:  
Line 121: Line 121:
Comma list: 121/120, 176/175, 2200/2187
Comma list: 121/120, 176/175, 2200/2187


Mapping: {{mapping| 1 -2 -7 15 -3 | 0 5 13 -17 9 }}
{{Mapping|legend=0| 1 -2 -7 15 -3 | 0 5 13 -17 9 }}


Optimal tunings:
Optimal tunings:
Line 136: Line 136:
Comma list: 121/120, 169/168, 176/175, 325/324
Comma list: 121/120, 169/168, 176/175, 325/324


Mapping: {{mapping| 1 -2 -7 15 -3 8 | 0 5 13 -17 9 -6 }}
{{Mapping|legend=0| 1 -2 -7 15 -3 8 | 0 5 13 -17 9 -6 }}


Optimal tunings:
Optimal tunings:
Line 151: Line 151:
Comma list: 121/120, 154/153, 169/168, 176/175, 273/272
Comma list: 121/120, 154/153, 169/168, 176/175, 273/272


Mapping: {{mapping| 1 -2 -7 15 -3 8 17 | 0 5 13 -17 9 -6 -18 }}
{{Mapping|legend=0| 1 -2 -7 15 -3 8 17 | 0 5 13 -17 9 -6 -18 }}


Optimal tunings:
Optimal tunings:
Line 166: Line 166:
Comma list: 121/120, 154/153, 169/168, 171/170, 176/175, 190/189
Comma list: 121/120, 154/153, 169/168, 171/170, 176/175, 190/189


Mapping: {{mapping| 1 -2 -7 15 -3 8 17 15 | 0 5 13 -17 9 -6 -18 -15 }}
{{Mapping|legend=0| 1 -2 -7 15 -3 8 17 15 | 0 5 13 -17 9 -6 -18 -15 }}


Optimal tunings:
Optimal tunings:
Line 183: Line 183:
Comma list: 441/440, 896/891, 4375/4374
Comma list: 441/440, 896/891, 4375/4374


Mapping: {{mapping| 1 -2 -7 15 30 | 0 5 13 -17 -37 }}
{{Mapping|legend=0| 1 -2 -7 15 30 | 0 5 13 -17 -37 }}


Optimal tunings:
Optimal tunings:
Line 198: Line 198:
Comma list: 196/195, 352/351, 364/363, 4375/4374
Comma list: 196/195, 352/351, 364/363, 4375/4374


Mapping: {{mapping| 1 -2 -7 15 30 41 | 0 5 13 -17 -37 -52 }}
{{Mapping|legend=0| 1 -2 -7 15 30 41 | 0 5 13 -17 -37 -52 }}


Optimal tunings:
Optimal tunings:
Line 213: Line 213:
Comma list: 196/195, 256/255, 352/351, 364/363, 1156/1155
Comma list: 196/195, 256/255, 352/351, 364/363, 1156/1155


Mapping: {{mapping| 1 -2 -7 15 30 41 17 | 0 5 13 -17 -37 -52 -18 }}
{{Mapping|legend=0| 1 -2 -7 15 30 41 17 | 0 5 13 -17 -37 -52 -18 }}


Optimal tunings:
Optimal tunings:
Line 228: Line 228:
Comma list: 196/195, 256/255, 343/342, 352/351, 364/363, 476/475
Comma list: 196/195, 256/255, 343/342, 352/351, 364/363, 476/475


Mapping: {{mapping| 1 -2 -7 15 30 41 17 48 | 0 5 13 -17 -37 -52 -18 -61 }}
{{Mapping|legend=0| 1 -2 -7 15 30 41 17 48 | 0 5 13 -17 -37 -52 -18 -61 }}


Optimal tunings:
Optimal tunings:
Line 243: Line 243:
Comma list: 3025/3024, 4375/4374, 5120/5103
Comma list: 3025/3024, 4375/4374, 5120/5103


Mapping: {{mapping| 2 1 -1 13 13 | 0 5 13 -17 -14 }}
{{Mapping|legend=0| 2 1 -1 13 13 | 0 5 13 -17 -14 }}
: mapping generators: ~99/70, ~64/55
: mapping generators: ~99/70, ~64/55


Line 259: Line 259:
Comma list: 352/351, 847/845, 1716/1715, 3025/3024
Comma list: 352/351, 847/845, 1716/1715, 3025/3024


Mapping: {{mapping| 2 1 -1 13 13 20 | 0 5 13 -17 -14 -29 }}
{{Mapping|legend=0| 2 1 -1 13 13 20 | 0 5 13 -17 -14 -29 }}


Optimal tunings:
Optimal tunings:
Line 293: Line 293:
Comma list: 121/120, 126/125, 896/891
Comma list: 121/120, 126/125, 896/891


Mapping: {{mapping| 1 -2 -7 -18 -3 | 0 5 13 29 9 }}
{{Mapping|legend=0| 1 -2 -7 -18 -3 | 0 5 13 29 9 }}


Optimal tunings:
Optimal tunings:
Line 327: Line 327:
Comma list: 225/224, 385/384, 1250000/1240029
Comma list: 225/224, 385/384, 1250000/1240029


Mapping: {{mapping| 1 -2 -7 -23 35 | 0 5 13 36 -44 }}
{{Mapping|legend=0| 1 -2 -7 -23 35 | 0 5 13 36 -44 }}


Optimal tunings:
Optimal tunings:
Line 342: Line 342:
Comma list: 225/224, 325/324, 385/384, 2200/2197
Comma list: 225/224, 325/324, 385/384, 2200/2197


Mapping: {{mapping| 1 -2 -7 -23 35 8 | 0 5 13 36 -44 -6 }}
{{Mapping|legend=0| 1 -2 -7 -23 35 8 | 0 5 13 36 -44 -6 }}


Optimal tunings:
Optimal tunings:
Line 357: Line 357:
Comma list: 121/120, 225/224, 2200/2187
Comma list: 121/120, 225/224, 2200/2187


Mapping: {{mapping| 1 -2 -7 -23 -3 | 0 5 13 36 9 }}
{{Mapping|legend=0| 1 -2 -7 -23 -3 | 0 5 13 36 9 }}


Optimal tunings:
Optimal tunings:
Line 372: Line 372:
Comma list: 121/120, 225/224, 275/273, 325/324
Comma list: 121/120, 225/224, 275/273, 325/324


Mapping: {{mapping| 1 -2 -7 -23 -3 8 | 0 -5 -13 -36 -9 6 }}
{{Mapping|legend=0| 1 -2 -7 -23 -3 8 | 0 -5 -13 -36 -9 6 }}


Optimal tunings:
Optimal tunings:
Line 406: Line 406:
Comma list: 6250/6237, 19712/19683, 41503/41472
Comma list: 6250/6237, 19712/19683, 41503/41472


Mapping: {{mapping| 1 -2 -7 53 -79 | 0 5 13 -70 115 }}
{{Mapping|legend=0| 1 -2 -7 53 -79 | 0 5 13 -70 115 }}


Optimal tunings:
Optimal tunings:
Line 421: Line 421:
Comma list: 625/624, 2080/2079, 2200/2197, 19712/19683
Comma list: 625/624, 2080/2079, 2200/2197, 19712/19683


Mapping: {{mapping| 1 -2 -7 53 -79 -30 | 0 5 13 -70 115 47 }}
{{Mapping|legend=0| 1 -2 -7 53 -79 -30 | 0 5 13 -70 115 47 }}


Optimal tunings:
Optimal tunings:
Line 436: Line 436:
Comma list: 625/624, 1225/1224, 2080/2079, 2200/2197, 2431/2430
Comma list: 625/624, 1225/1224, 2080/2079, 2200/2197, 2431/2430


Mapping: {{mapping| 1 -2 -7 53 -79 -30 93 | 0 5 13 -70 115 47 -124 }}
{{Mapping|legend=0| 1 -2 -7 53 -79 -30 93 | 0 5 13 -70 115 47 -124 }}


Optimal tunings:
Optimal tunings:
Line 451: Line 451:
Comma list: 625/624, 1225/1224, 1540/1539, 1729/1728, 2080/2079, 2200/2197
Comma list: 625/624, 1225/1224, 1540/1539, 1729/1728, 2080/2079, 2200/2197


Mapping: {{mapping| 1 -2 -7 53 -79 -30 93 -23 | 0 5 13 -70 115 47 -124 38 }}
{{Mapping|legend=0| 1 -2 -7 53 -79 -30 93 -23 | 0 5 13 -70 115 47 -124 38 }}


Optimal tunings:
Optimal tunings:
Line 486: Line 486:
Comma list: 121/120, 245/243, 441/440
Comma list: 121/120, 245/243, 441/440


Mapping: {{mapping| 2 1 -1 3 3 | 0 5 13 6 9 }}
{{Mapping|legend=0| 2 1 -1 3 3 | 0 5 13 6 9 }}


Optimal tunings:
Optimal tunings:
Line 501: Line 501:
Comma list: 91/90, 121/120, 245/243, 441/440
Comma list: 91/90, 121/120, 245/243, 441/440


Mapping: {{mapping| 2 1 -1 3 3 0 | 0 5 13 6 9 17 }}
{{Mapping|legend=0| 2 1 -1 3 3 0 | 0 5 13 6 9 17 }}


Optimal tunings:
Optimal tunings:
Line 536: Line 536:
Comma list: 99/98, 121/120, 2200/2187
Comma list: 99/98, 121/120, 2200/2187


Mapping: {{mapping| 1 -2 -7 -4 -3 | 0 10 26 19 18 }}
{{Mapping|legend=0| 1 -2 -7 -4 -3 | 0 10 26 19 18 }}


Optimal tunings:
Optimal tunings:
Line 551: Line 551:
Comma list: 99/98, 121/120, 275/273, 572/567
Comma list: 99/98, 121/120, 275/273, 572/567


Mapping: {{mapping| 1 8 19 15 15 30 | 0 -10 -26 -19 -18 -41 }}
{{Mapping|legend=0| 1 8 19 15 15 30 | 0 -10 -26 -19 -18 -41 }}


Optimal tunings:
Optimal tunings:
Line 586: Line 586:
Comma list: 385/384, 441/440, 1071875/1062882
Comma list: 385/384, 441/440, 1071875/1062882


Mapping: {{mapping| 1 -2 -7 4 8 | 0 15 39 -5 -19 }}
{{Mapping|legend=0| 1 -2 -7 4 8 | 0 15 39 -5 -19 }}


Optimal tunings:
Optimal tunings:
Line 601: Line 601:
Comma list: 325/324, 364/363, 385/384, 10985/10976
Comma list: 325/324, 364/363, 385/384, 10985/10976


Mapping: {{mapping| 1 -2 -7 4 8 8 | 0 15 39 -5 -19 -18 }}
{{Mapping|legend=0| 1 -2 -7 4 8 8 | 0 15 39 -5 -19 -18 }}


Optimal tunings:
Optimal tunings:
Line 616: Line 616:
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757
Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757


Mapping: {{mapping| 1 -2 -7 4 8 8 6 | 0 15 39 -5 -19 -18 -8 }}
{{Mapping|legend=0| 1 -2 -7 4 8 8 6 | 0 15 39 -5 -19 -18 -8 }}


Optimal tunings:
Optimal tunings:
Line 651: Line 651:
Comma list: 3025/3024, 4000/3993, 19712/19683
Comma list: 3025/3024, 4000/3993, 19712/19683


Mapping: {{mapping| 1 -7 -20 -55 -16 | 0 15 39 101 34 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 | 0 15 39 101 34 }}


Optimal tunings:
Optimal tunings:
Line 666: Line 666:
Comma list: 625/624, 1575/1573, 2080/2079, 13720/13689
Comma list: 625/624, 1575/1573, 2080/2079, 13720/13689


Mapping: {{mapping| 1 -7 -20 -55 -16 -77 | 0 15 39 101 34 141 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 -77 | 0 15 39 101 34 141 }}


Optimal tunings:
Optimal tunings:
Line 681: Line 681:
Comma list: 595/594, 625/624, 833/832, 1575/1573, 8624/8619
Comma list: 595/594, 625/624, 833/832, 1575/1573, 8624/8619


Mapping: {{mapping| 1 -7 -20 -55 -16 -77 39 | 0 15 39 101 34 141 -61 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 -77 39 | 0 15 39 101 34 141 -61 }}


Optimal tunings:
Optimal tunings:
Line 696: Line 696:
Comma list: 595/594, 625/624, 833/832, 969/968, 1216/1215, 1575/1573
Comma list: 595/594, 625/624, 833/832, 969/968, 1216/1215, 1575/1573


Mapping: {{mapping| 1 -7 -20 -55 -16 -77 39 -61 | 0 15 39 101 34 141 -61 114 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 -77 39 -61 | 0 15 39 101 34 141 -61 114 }}


Optimal tunings:
Optimal tunings:
Line 711: Line 711:
Comma list: 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104
Comma list: 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104


Mapping: {{mapping| 1 -7 -20 -55 -16 -77 39 -61 -55 | 0 15 39 101 34 141 -61 114 104 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 -77 39 -61 -55 | 0 15 39 101 34 141 -61 114 104 }}


Optimal tunings:
Optimal tunings:
Line 726: Line 726:
Comma list: 595/594, 625/624, 760/759, 784/783, 833/832, 875/874, 969/968, 1045/1044
Comma list: 595/594, 625/624, 760/759, 784/783, 833/832, 875/874, 969/968, 1045/1044


Mapping: {{mapping| 1 -7 -20 -55 -16 -77 39 -61 -55 -85 | 0 15 39 101 34 141 -61 114 104 157 }}
{{Mapping|legend=0| 1 -7 -20 -55 -16 -77 39 -61 -55 -85 | 0 15 39 101 34 141 -61 114 104 157 }}


Optimal tunings:
Optimal tunings:
Line 761: Line 761:
Comma list: 441/440, 4375/4356, 10976/10935
Comma list: 441/440, 4375/4356, 10976/10935


Mapping: {{mapping| 3 4 5 6 6 | 0 5 13 16 29 }}
{{Mapping|legend=0| 3 4 5 6 6 | 0 5 13 16 29 }}


Optimal tunings:  
Optimal tunings:  
Line 776: Line 776:
Comma list: 364/363, 441/440, 625/624, 10976/10935
Comma list: 364/363, 441/440, 625/624, 10976/10935


Mapping: {{mapping| 3 4 5 6 6 4 | 0 5 13 16 29 47 }}
{{Mapping|legend=0| 3 4 5 6 6 4 | 0 5 13 16 29 47 }}


Optimal tunings:  
Optimal tunings:  
Line 791: Line 791:
Comma list: 364/363, 375/374, 441/440, 595/594, 3773/3757
Comma list: 364/363, 375/374, 441/440, 595/594, 3773/3757


Mapping: {{mapping| 3 4 5 6 6 4 10 | 0 5 13 16 29 47 15 }}
{{Mapping|legend=0| 3 4 5 6 6 4 10 | 0 5 13 16 29 47 15 }}


Optimal tunings:  
Optimal tunings:  
Line 806: Line 806:
Comma list: 325/324, 441/440, 1001/1000, 10976/10935
Comma list: 325/324, 441/440, 1001/1000, 10976/10935


Mapping: {{mapping| 3 4 5 6 6 12 | 0 5 13 16 29 -6 }}
{{Mapping|legend=0| 3 4 5 6 6 12 | 0 5 13 16 29 -6 }}


Optimal tunings:  
Optimal tunings:  
Line 821: Line 821:
Comma list: 273/272, 325/324, 375/374, 441/440, 4928/4913
Comma list: 273/272, 325/324, 375/374, 441/440, 4928/4913


Mapping: {{mapping| 3 4 5 6 6 12 10 | 0 5 13 16 29 -6 15 }}
{{Mapping|legend=0| 3 4 5 6 6 12 10 | 0 5 13 16 29 -6 15 }}


Optimal tunings:  
Optimal tunings:  
Line 836: Line 836:
Comma list: 196/195, 352/351, 729/728, 1875/1859
Comma list: 196/195, 352/351, 729/728, 1875/1859


Mapping: {{mapping| 3 4 5 6 6 9 | 0 5 13 16 29 14 }}
{{Mapping|legend=0| 3 4 5 6 6 9 | 0 5 13 16 29 14 }}


Optimal tunings:  
Optimal tunings:  
Line 851: Line 851:
Comma list: 170/169, 196/195, 352/351, 375/374, 595/594
Comma list: 170/169, 196/195, 352/351, 375/374, 595/594


Mapping: {{mapping| 3 4 5 6 6 9 10 | 0 5 13 16 29 14 15 }}
{{Mapping|legend=0| 3 4 5 6 6 9 10 | 0 5 13 16 29 14 15 }}


Optimal tunings:  
Optimal tunings:  
Line 866: Line 866:
Comma list: 3025/3024, 10976/10935, 102487/102400
Comma list: 3025/3024, 10976/10935, 102487/102400


Mapping: {{mapping| 3 4 5 6 10 | 0 10 26 32 5 }}
{{Mapping|legend=0| 3 4 5 6 10 | 0 10 26 32 5 }}


Optimal tunings:  
Optimal tunings:  
Line 881: Line 881:
Comma list: 676/675, 1001/1000, 3025/3024, 10976/10935
Comma list: 676/675, 1001/1000, 3025/3024, 10976/10935


Mapping: {{mapping| 3 4 5 6 10 8 | 0 10 26 32 5 41 }}
{{Mapping|legend=0| 3 4 5 6 10 8 | 0 10 26 32 5 41 }}


Optimal tunings:  
Optimal tunings:  
Line 918: Line 918:
Comma list: 2401/2400, 6250/6237, 19712/19683
Comma list: 2401/2400, 6250/6237, 19712/19683


Mapping: {{mapping| 1 -17 -46 -26 -135 | 0 20 52 31 149 }}
{{Mapping|legend=0| 1 -17 -46 -26 -135 | 0 20 52 31 149 }}


Optimal tunings:
Optimal tunings:
Line 948: Line 948:
Comma list: 2401/2400, 131072/130977, 1600000/1594323
Comma list: 2401/2400, 131072/130977, 1600000/1594323


Mapping: {{mapping| 1 -17 -46 -26 154 | 0 20 52 31 -162 }}
{{Mapping|legend=0| 1 -17 -46 -26 154 | 0 20 52 31 -162 }}


Optimal tunings:
Optimal tunings:
Line 963: Line 963:
Comma list: 2080/2079, 2401/2400, 4096/4095, 741125/739206
Comma list: 2080/2079, 2401/2400, 4096/4095, 741125/739206


Mapping: {{mapping| 1 -17 -46 -26 154 118 | 0 20 52 31 -162 -123 }}
{{Mapping|legend=0| 1 -17 -46 -26 154 118 | 0 20 52 31 -162 -123 }}


Optimal tunings:
Optimal tunings:
Line 978: Line 978:
Comma list: 243/242, 441/440, 980000/970299
Comma list: 243/242, 441/440, 980000/970299


Mapping: {{mapping| 1 -17 -46 -26 -43 | 0 20 52 31 50 }}
{{Mapping|legend=0| 1 -17 -46 -26 -43 | 0 20 52 31 50 }}


Optimal tunings:
Optimal tunings:
Line 995: Line 995:
Comma list: 243/242, 364/363, 441/440, 1875/1859
Comma list: 243/242, 364/363, 441/440, 1875/1859


Mapping: {{mapping| 1 -17 -46 -26 -43 -79 | 0 20 52 31 50 89 }}
{{Mapping|legend=0| 1 -17 -46 -26 -43 -79 | 0 20 52 31 50 89 }}


Optimal tunings:
Optimal tunings:
Line 1,010: Line 1,010:
Comma list: 385/384, 1375/1372, 1600000/1594323
Comma list: 385/384, 1375/1372, 1600000/1594323


Mapping: {{mapping| 1 -17 -46 -26 62 | 0 20 52 31 -63 }}
{{Mapping|legend=0| 1 -17 -46 -26 62 | 0 20 52 31 -63 }}


Optimal tunings:
Optimal tunings:
Line 1,025: Line 1,025:
Comma list: 325/324, 385/384, 1375/1372, 19773/19712
Comma list: 325/324, 385/384, 1375/1372, 19773/19712


Mapping: {{mapping| 1 -17 -46 -26 62 26 | 0 20 52 31 -63 -24 }}
{{Mapping|legend=0| 1 -17 -46 -26 62 26 | 0 20 52 31 -63 -24 }}


Optimal tunings:
Optimal tunings:
Line 1,040: Line 1,040:
Comma list: 2401/2400, 9801/9800, 14641/14580
Comma list: 2401/2400, 9801/9800, 14641/14580


Mapping: {{mapping| 2 -14 -40 -21 -30 | 0 20 52 31 43 }}
{{Mapping|legend=0| 2 -14 -40 -21 -30 | 0 20 52 31 43 }}
: mapping generators: ~99/70, ~66/49
: mapping generators: ~99/70, ~66/49


Line 1,056: Line 1,056:
Comma list: 676/675, 1001/1000, 1716/1715, 14641/14580
Comma list: 676/675, 1001/1000, 1716/1715, 14641/14580


Mapping: {{mapping| 2 -14 -40 -21 -30 -63 | 0 20 52 31 43 82 }}
{{Mapping|legend=0| 2 -14 -40 -21 -30 -63 | 0 20 52 31 43 82 }}


Optimal tunings:
Optimal tunings:
Line 1,071: Line 1,071:
Comma list: 2401/2400, 3025/3024, 1600000/1594323
Comma list: 2401/2400, 3025/3024, 1600000/1594323


Mapping: {{mapping| 1 -37 -98 -57 16 | 0 40 104 62 -13 }}
{{Mapping|legend=0| 1 -37 -98 -57 16 | 0 40 104 62 -13 }}
: mapping generators: ~2, ~3993/2048
: mapping generators: ~2, ~3993/2048


Line 1,087: Line 1,087:
Comma list: 2080/2079, 2200/2197, 2401/2400, 3025/3024
Comma list: 2080/2079, 2200/2197, 2401/2400, 3025/3024


Mapping: {{mapping| 1 -37 -98 -57 16 -59 | 0 40 104 62 -13 65 }}
{{Mapping|legend=0| 1 -37 -98 -57 16 -59 | 0 40 104 62 -13 65 }}


Optimal tunings:
Optimal tunings:
Line 1,122: Line 1,122:
Comma list: 540/539, 4375/4356, 1240029/1239040
Comma list: 540/539, 4375/4356, 1240029/1239040


Mapping: {{mapping| 1 -7 -20 -2 -35 | 0 25 65 14 112 }}
{{Mapping|legend=0| 1 -7 -20 -2 -35 | 0 25 65 14 112 }}


Optimal tunings:  
Optimal tunings:  
Line 1,137: Line 1,137:
Comma list: 540/539, 729/728, 4375/4356, 10648/10647
Comma list: 540/539, 729/728, 4375/4356, 10648/10647


Mapping: {{mapping| 1 -7 -20 -2 -35 -43 | 0 25 65 14 112 136 }}
{{Mapping|legend=0| 1 -7 -20 -2 -35 -43 | 0 25 65 14 112 136 }}


Optimal tunings:  
Optimal tunings:  
Line 1,152: Line 1,152:
Comma list: 9801/9800, 41503/41472, 585640/583443
Comma list: 9801/9800, 41503/41472, 585640/583443


Mapping: {{mapping| 2 -14 -40 -4 -13 | 0 25 65 14 29 }}
{{Mapping|legend=0| 2 -14 -40 -4 -13 | 0 25 65 14 29 }}
: mapping generators: ~99/70, ~80/63
: mapping generators: ~99/70, ~80/63


Line 1,168: Line 1,168:
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280
Comma list: 1716/1715, 2080/2079, 2200/2197, 17303/17280


Mapping: {{mapping| 2 11 25 10 16 24 | 0 25 65 14 29 53 }}
{{Mapping|legend=0| 2 11 25 10 16 24 | 0 25 65 14 29 53 }}


Optimal tunings:  
Optimal tunings:  
Line 1,183: Line 1,183:
Comma list: 3025/3024, 117649/117612, 1600000/1594323
Comma list: 3025/3024, 117649/117612, 1600000/1594323


Mapping: {{mapping| 1 -32 -85 -16 31 | 0 50 130 28 -41 }}
{{Mapping|legend=0| 1 -32 -85 -16 31 | 0 50 130 28 -41 }}
: mapping generators: ~2, ~891/560
: mapping generators: ~2, ~891/560


Line 1,199: Line 1,199:
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323
Comma list: 676/675, 1716/1715, 3025/3024, 1600000/1594323


Mapping: {{mapping| 1 -32 -85 -16 31 -134 | 0 50 130 28 -41 205 }}
{{Mapping|legend=0| 1 -32 -85 -16 31 -134 | 0 50 130 28 -41 205 }}


Optimal tunings:  
Optimal tunings:  
Line 1,214: Line 1,214:
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561
Comma list: 2080/2079, 3025/3024, 13720/13689, 28672/28561


Mapping: {{mapping| 1 -32 -85 -16 31 -1 | 0 50 130 28 -41 7 }}
{{Mapping|legend=0| 1 -32 -85 -16 31 -1 | 0 50 130 28 -41 7 }}


Optimal tunings:  
Optimal tunings:  
Line 1,249: Line 1,249:
Comma list: 3025/3024, 12005/11979, 131072/130977
Comma list: 3025/3024, 12005/11979, 131072/130977


Mapping: {{mapping| 1 -12 -33 24 29 | 0 25 65 -39 -47 }}
{{Mapping|legend=0| 1 -12 -33 24 29 | 0 25 65 -39 -47 }}


Optimal tunings:  
Optimal tunings:  
Line 1,264: Line 1,264:
Comma list: 2080/2079, 3025/3024, 4096/4095, 12005/11979
Comma list: 2080/2079, 3025/3024, 4096/4095, 12005/11979


Mapping: {{mapping| 1 -12 -33 24 29 45 | 0 25 65 -39 -47 -76 }}
{{Mapping|legend=0| 1 -12 -33 24 29 45 | 0 25 65 -39 -47 -76 }}


Optimal tunings:  
Optimal tunings:  
Line 1,299: Line 1,299:
Comma list: 540/539, 1375/1372, 1600000/1594323
Comma list: 540/539, 1375/1372, 1600000/1594323


Mapping: {{mapping| 1 -17 -46 -47 -1 | 0 25 65 67 6 }}
{{Mapping|legend=0| 1 -17 -46 -47 -1 | 0 25 65 67 6 }}


Optimal tunings:
Optimal tunings:
Line 1,314: Line 1,314:
Comma list: 540/539, 729/728, 1375/1372, 2205/2197
Comma list: 540/539, 729/728, 1375/1372, 2205/2197


Mapping: {{mapping| 1 -17 -46 -47 -1 -58 | 0 25 65 67 6 83 }}
{{Mapping|legend=0| 1 -17 -46 -47 -1 -58 | 0 25 65 67 6 83 }}


Optimal tunings:
Optimal tunings:
Line 1,324: Line 1,324:
Badness (Sintel): 1.59
Badness (Sintel): 1.59


[[Category:Amity family| ]] <!-- main article -->
[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Amity family| ]] <!-- main article -->
[[Category:Catalogs of rank-2 temperaments]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Amity_family"