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Aberschismic temperaments: Difference between revisions

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m Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "
 
Line 54: Line 54:
Comma list: 5120/5103, 9801/9800, 14641/14580
Comma list: 5120/5103, 9801/9800, 14641/14580


Mapping: {{mapping| 2 -8 -56 12 -25 | 0 7 38 -4 20 }}
{{Mapping|legend=0| 2 -8 -56 12 -25 | 0 7 38 -4 20 }}


Optimal tunings:  
Optimal tunings:  
Line 69: Line 69:
Comma list: 352/351, 847/845, 1716/1715, 14641/14580
Comma list: 352/351, 847/845, 1716/1715, 14641/14580


Mapping: {{mapping| 2 -8 -56 12 -25 9 | 0 7 38 -4 20 -1 }}
{{Mapping|legend=0| 2 -8 -56 12 -25 9 | 0 7 38 -4 20 -1 }}


Optimal tunings:  
Optimal tunings:  
Line 106: Line 106:
Comma list: 540/539, 1375/1372, 5120/5103
Comma list: 540/539, 1375/1372, 5120/5103


Mapping: {{mapping| 1 0 -50 -40 32 | 0 1 33 27 -18 }}
{{Mapping|legend=0| 1 0 -50 -40 32 | 0 1 33 27 -18 }}


Optimal tunings:  
Optimal tunings:  
Line 121: Line 121:
Comma list: 352/351, 540/539, 729/728, 1375/1372
Comma list: 352/351, 540/539, 729/728, 1375/1372


Mapping: {{mapping| 1 0 -50 -40 32 27 | 0 1 33 27 -18 -21 }}
{{Mapping|legend=0| 1 0 -50 -40 32 27 | 0 1 33 27 -18 -21 }}


Optimal tunings:  
Optimal tunings:  
Line 136: Line 136:
Comma list: 256/255, 352/351, 540/539, 715/714, 1089/1088
Comma list: 256/255, 352/351, 540/539, 715/714, 1089/1088


Mapping: {{mapping| 1 0 -50 -40 32 27 58 | 0 1 33 27 -18 -21 -34 }}
{{Mapping|legend=0| 1 0 -50 -40 32 27 58 | 0 1 33 27 -18 -21 -34 }}


Optimal tunings:  
Optimal tunings:  
Line 151: Line 151:
Comma list: 256/255, 352/351, 400/399, 456/455, 715/714, 847/845
Comma list: 256/255, 352/351, 400/399, 456/455, 715/714, 847/845


Mapping: {{mapping| 1 0 -50 -40 32 27 58 -56 | 0 1 33 27 -18 -21 -34 38 }}
{{Mapping|legend=0| 1 0 -50 -40 32 27 58 -56 | 0 1 33 27 -18 -21 -34 38 }}


Optimal tunings:  
Optimal tunings:  
Line 166: Line 166:
Comma list: 540/539, 676/675, 1375/1372, 5120/5103
Comma list: 540/539, 676/675, 1375/1372, 5120/5103


Mapping: {{mapping| 1 0 -50 -40 32 -51 | 0 2 66 54 -36 69 }}
{{Mapping|legend=0| 1 0 -50 -40 32 -51 | 0 2 66 54 -36 69 }}
: mapping generators: ~2, ~26/15
: mapping generators: ~2, ~26/15


Line 182: Line 182:
Comma list: 442/441, 540/539, 676/675, 715/714, 5120/5103
Comma list: 442/441, 540/539, 676/675, 715/714, 5120/5103


Mapping: {{mapping| 1 0 -50 -40 32 -51 -30 | 0 2 66 54 -36 69 43 }}
{{Mapping|legend=0| 1 0 -50 -40 32 -51 -30 | 0 2 66 54 -36 69 43 }}


Optimal tunings:  
Optimal tunings:  
Line 197: Line 197:
Comma list: 400/399, 442/441, 540/539, 676/675, 715/714, 1445/1444
Comma list: 400/399, 442/441, 540/539, 676/675, 715/714, 1445/1444


Mapping: {{mapping| 1 0 -50 -40 32 -51 -30 -56 | 0 2 66 54 -36 69 43 76 }}
{{Mapping|legend=0| 1 0 -50 -40 32 -51 -30 -56 | 0 2 66 54 -36 69 43 76 }}


Optimal tunings:  
Optimal tunings:  
Line 232: Line 232:
Comma list: 385/384, 1331/1323, 2200/2187
Comma list: 385/384, 1331/1323, 2200/2187


Mapping: {{mapping| 2 3 4 6 7 | 0 4 15 -9 -2 }}
{{Mapping|legend=0| 2 3 4 6 7 | 0 4 15 -9 -2 }}


Optimal tunings:  
Optimal tunings:  
Line 247: Line 247:
Comma list: 325/324, 352/351, 385/384, 1331/1323
Comma list: 325/324, 352/351, 385/384, 1331/1323


Mapping: {{mapping| 2 3 4 6 7 8 | 0 4 15 -9 -2 -14 }}
{{Mapping|legend=0| 2 3 4 6 7 8 | 0 4 15 -9 -2 -14 }}


Optimal tunings:  
Optimal tunings:  
Line 262: Line 262:
Comma list: 289/288, 325/324, 352/351, 385/384, 442/441
Comma list: 289/288, 325/324, 352/351, 385/384, 442/441


Mapping: {{mapping| 2 3 4 6 7 8 8 | 0 4 15 -9 -2 -14 4 }}
{{Mapping|legend=0| 2 3 4 6 7 8 8 | 0 4 15 -9 -2 -14 4 }}


Optimal tunings:  
Optimal tunings:  
Line 277: Line 277:
Comma list: 253/252, 289/288, 325/324, 352/351, 385/384, 391/390
Comma list: 253/252, 289/288, 325/324, 352/351, 385/384, 391/390


Mapping: {{mapping| 2 3 4 6 7 8 8 9 | 0 4 15 -9 -2 -14 4 1 }}
{{Mapping|legend=0| 2 3 4 6 7 8 8 9 | 0 4 15 -9 -2 -14 4 1 }}


Optimal tunings:  
Optimal tunings:  
Line 335: Line 335:
Comma list: 441/440, 896/891, 3388/3375
Comma list: 441/440, 896/891, 3388/3375


Mapping: {{mapping| 29 46 0 14 33 | 0 0 1 1 1 }}
{{Mapping|legend=0| 29 46 0 14 33 | 0 0 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 350: Line 350:
Comma list: 196/195, 352/351, 364/363, 676/675
Comma list: 196/195, 352/351, 364/363, 676/675


Mapping: {{mapping| 29 46 0 14 33 40 | 0 0 1 1 1 1 }}
{{Mapping|legend=0| 29 46 0 14 33 40 | 0 0 1 1 1 1 }}


Optimal tunings:  
Optimal tunings:  
Line 385: Line 385:
Comma list: 1331/1323, 1375/1372, 5120/5103
Comma list: 1331/1323, 1375/1372, 5120/5103


Mapping: {{mapping| 1 0 38 48 32 | 0 2 -45 -57 -36 }}
{{Mapping|legend=0| 1 0 38 48 32 | 0 2 -45 -57 -36 }}


Optimal tunings:  
Optimal tunings:  
Line 400: Line 400:
Comma list: 352/351, 676/675, 847/845, 1331/1323
Comma list: 352/351, 676/675, 847/845, 1331/1323


Mapping: {{mapping| 1 0 38 48 32 37 | 0 2 -45 -57 -36 -42 }}
{{Mapping|legend=0| 1 0 38 48 32 37 | 0 2 -45 -57 -36 -42 }}


Optimal tunings:  
Optimal tunings:  
Line 415: Line 415:
Comma list: 352/351, 442/441, 561/560, 676/675, 715/714
Comma list: 352/351, 442/441, 561/560, 676/675, 715/714


Mapping: {{mapping| 1 0 38 48 32 37 58 | 0 2 -45 -57 -36 -42 -68 }}
{{Mapping|legend=0| 1 0 38 48 32 37 58 | 0 2 -45 -57 -36 -42 -68 }}


Optimal tunings:  
Optimal tunings:  
Line 430: Line 430:
Comma list: 286/285, 352/351, 363/361, 442/441, 476/475, 561/560
Comma list: 286/285, 352/351, 363/361, 442/441, 476/475, 561/560


Mapping: {{mapping| 1 0 38 48 32 37 58 32 | 0 2 -45 -57 -36 -42 -68 -35 }}
{{Mapping|legend=0| 1 0 38 48 32 37 58 32 | 0 2 -45 -57 -36 -42 -68 -35 }}


Optimal tunings:  
Optimal tunings:  
Line 445: Line 445:
Comma list: 253/252, 286/285, 352/351, 363/361, 391/390, 442/441, 460/459
Comma list: 253/252, 286/285, 352/351, 363/361, 391/390, 442/441, 460/459


Mapping: {{mapping| 1 0 38 48 32 37 58 32 18 | 0 2 -45 -57 -36 -42 -68 -35 -17 }}
{{Mapping|legend=0| 1 0 38 48 32 37 58 32 18 | 0 2 -45 -57 -36 -42 -68 -35 -17 }}


Optimal tunings:  
Optimal tunings:  
Line 484: Line 484:
Comma list: 176/175, 5120/5103, 41503/41472
Comma list: 176/175, 5120/5103, 41503/41472


Mapping: {{mapping| 1 -3 -15 13 -21 | 0 9 34 -20 48 }}
{{Mapping|legend=0| 1 -3 -15 13 -21 | 0 9 34 -20 48 }}


Optimal tunings:  
Optimal tunings:  
Line 499: Line 499:
Comma list: 176/175, 351/350, 847/845, 2197/2187
Comma list: 176/175, 351/350, 847/845, 2197/2187


Mapping: {{mapping| 1 -3 -15 13 -21 -7 | 0 9 34 -20 48 21 }}
{{Mapping|legend=0| 1 -3 -15 13 -21 -7 | 0 9 34 -20 48 21 }}


Optimal tunings:  
Optimal tunings:  
Line 536: Line 536:
Comma list: 385/384, 2200/2187, 4000/3993
Comma list: 385/384, 2200/2187, 4000/3993


Mapping: {{mapping| 1 -1 -4 12 -2 | 0 9 22 -32 19 }}
{{Mapping|legend=0| 1 -1 -4 12 -2 | 0 9 22 -32 19 }}


Optimal tunings:  
Optimal tunings:  
Line 551: Line 551:
Comma list: 325/324, 352/351, 385/384, 1575/1573
Comma list: 325/324, 352/351, 385/384, 1575/1573


Mapping: {{mapping| 1 -1 -4 12 -2 6 | 0 9 22 -32 19 -8 }}
{{Mapping|legend=0| 1 -1 -4 12 -2 6 | 0 9 22 -32 19 -8 }}


Optimal tunings:  
Optimal tunings:  
Line 566: Line 566:
Comma list: 325/324, 352/351, 375/374, 385/384, 595/594
Comma list: 325/324, 352/351, 375/374, 385/384, 595/594


Mapping: {{mapping| 1 -1 -4 12 -2 6 -12 | 0 9 22 -32 19 -8 56 }}
{{Mapping|legend=0| 1 -1 -4 12 -2 6 -12 | 0 9 22 -32 19 -8 56 }}


Optimal tunings:  
Optimal tunings:  
Line 581: Line 581:
Comma list: 325/324, 352/351, 375/374, 385/384, 400/399, 595/594
Comma list: 325/324, 352/351, 375/374, 385/384, 400/399, 595/594


Mapping: {{mapping| 1 -1 -4 12 -2 6 -12 -15 | 0 9 22 -32 19 -8 56 67 }}
{{Mapping|legend=0| 1 -1 -4 12 -2 6 -12 -15 | 0 9 22 -32 19 -8 56 67 }}


Optimal tunings:  
Optimal tunings:  
Line 596: Line 596:
Comma list: 300/299, 325/324, 352/351, 375/374, 385/384, 400/399, 484/483
Comma list: 300/299, 325/324, 352/351, 375/374, 385/384, 400/399, 484/483


Mapping: {{mapping| 1 -1 -4 12 -2 6 -12 -15 -13 | 0 9 22 -32 19 -8 56 67 61 }}
{{Mapping|legend=0| 1 -1 -4 12 -2 6 -12 -15 -13 | 0 9 22 -32 19 -8 56 67 61 }}


Optimal tunings:  
Optimal tunings:  
Line 631: Line 631:
Comma list: 540/539, 1331/1323, 5120/5103
Comma list: 540/539, 1331/1323, 5120/5103


Mapping: {{mapping| 1 1 -4 0 1 | 0 5 54 24 21 }}
{{Mapping|legend=0| 1 1 -4 0 1 | 0 5 54 24 21 }}


Optimal tunings:  
Optimal tunings:  
Line 646: Line 646:
Comma list: 352/351, 540/539, 729/728, 1331/1323
Comma list: 352/351, 540/539, 729/728, 1331/1323


Mapping: {{mapping| 1 1 -4 0 1 3 | 0 5 54 24 21 6 }}
{{Mapping|legend=0| 1 1 -4 0 1 3 | 0 5 54 24 21 6 }}


Optimal tunings:  
Optimal tunings:  
Line 661: Line 661:
Comma list: 352/351, 442/441, 540/539, 715/714, 847/845
Comma list: 352/351, 442/441, 540/539, 715/714, 847/845


Mapping: {{mapping| 1 1 -4 0 1 3 -2 | 0 5 54 24 21 6 52 }}
{{Mapping|legend=0| 1 1 -4 0 1 3 -2 | 0 5 54 24 21 6 52 }}


Optimal tunings:  
Optimal tunings:  
Line 676: Line 676:
Comma list: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714
Comma list: 352/351, 400/399, 442/441, 456/455, 495/494, 715/714


Mapping: {{mapping| 1 1 -4 0 1 3 -2 -5 | 0 5 54 24 21 6 52 79 }}
{{Mapping|legend=0| 1 1 -4 0 1 3 -2 -5 | 0 5 54 24 21 6 52 79 }}


Optimal tunings:  
Optimal tunings:  
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