Xenharmonic Wiki

Meantone family: Difference between revisions

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VisualWikitext
Revert databoxes
Save mapping generators for strong exts; instead add for weak exts
Line 60: Line 60:


[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]
[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]
Mapping generators: ~2, ~3


{{Multival|legend=1| 1 4 10 4 13 12 }}
{{Multival|legend=1| 1 4 10 4 13 12 }}
Line 126: Line 124:


Mapping: [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18 }}]
Mapping: [{{val| 1 0 -4 -13 -25 }}, {{val| 0 1 4 10 18 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.967
POTE generator: ~3/2 = 696.967
Line 157: Line 153:


Mapping: [{{val| 1 0 -4 -13 -25 -20 }}, {{val| 0 1 4 10 18 15 }}]
Mapping: [{{val| 1 0 -4 -13 -25 -20 }}, {{val| 0 1 4 10 18 15 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.642
POTE generator: ~3/2 = 696.642
Line 173: Line 167:


Mapping: [{{val| 1 0 -4 -13 -25 29 }}, {{val| 0 1 4 10 18 -16 }}]
Mapping: [{{val| 1 0 -4 -13 -25 29 }}, {{val| 0 1 4 10 18 -16 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 697.264
POTE generator: ~3/2 = 697.264
Line 192: Line 184:


Mapping: [{{val| 1 0 -4 -13 -25 -39 }}, {{val| 0 1 4 10 18 27 }}]
Mapping: [{{val| 1 0 -4 -13 -25 -39 }}, {{val| 0 1 4 10 18 27 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 697.529
POTE generator: ~3/2 = 697.529
Line 278: Line 268:


Mapping: [{{val| 1 0 -4 -13 24 10 }}, {{val| 0 1 4 10 -13 -4 }}]
Mapping: [{{val| 1 0 -4 -13 24 10 }}, {{val| 0 1 4 10 -13 -4 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.202
POTE generator: ~3/2 = 696.202
Line 294: Line 282:


Mapping: [{{val| 1 0 -4 -13 -6 }}, {{val| 0 1 4 10 6 }}]
Mapping: [{{val| 1 0 -4 -13 -6 }}, {{val| 0 1 4 10 6 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.250
POTE generator: ~3/2 = 696.250
Line 310: Line 296:


Mapping: [{{val| 1 0 -4 -13 -6 -20 }}, {{val| 0 1 4 10 6 15 }}]
Mapping: [{{val| 1 0 -4 -13 -6 -20 }}, {{val| 0 1 4 10 6 15 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.146
POTE generator: ~3/2 = 696.146
Line 326: Line 310:


Mapping: [{{val| 1 0 -4 -13 -6 10 }}, {{val| 0 1 4 10 6 -4 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 }}, {{val| 0 1 4 10 6 -4 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.060
POTE generator: ~3/2 = 695.060
Line 342: Line 324:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 }}, {{val| 0 1 4 10 6 -4 -5 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 }}, {{val| 0 1 4 10 6 -4 -5 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.858
POTE generator: ~3/2 = 695.858
Line 358: Line 338:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 }}, {{val| 0 1 4 10 6 -4 -5 -3 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 }}, {{val| 0 1 4 10 6 -4 -5 -3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.131
POTE generator: ~3/2 = 696.131
Line 374: Line 352:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.044
POTE generator: ~3/2 = 696.044
Line 390: Line 366:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.913
POTE generator: ~3/2 = 695.913
Line 406: Line 380:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.750
POTE generator: ~3/2 = 695.750
Line 422: Line 394:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.603
POTE generator: ~3/2 = 695.603
Line 438: Line 408:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.696
POTE generator: ~3/2 = 695.696
Line 454: Line 422:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.688
POTE generator: ~3/2 = 695.688
Line 470: Line 436:


Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1 }}]
Mapping: [{{val| 1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4 }}, {{val| 0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.676
POTE generator: ~3/2 = 695.676
Line 486: Line 450:


Mapping: [{{val| 1 0 -4 -13 -6 -1 }}, {{val| 0 1 4 10 6 3 }}]
Mapping: [{{val| 1 0 -4 -13 -6 -1 }}, {{val| 0 1 4 10 6 3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 697.254
POTE generator: ~3/2 = 697.254
Line 502: Line 464:


Mapping: [{{val|1 0 -4 -13 5 }}, {{val| 0 1 4 10 -1 }}]
Mapping: [{{val|1 0 -4 -13 5 }}, {{val| 0 1 4 10 -1 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 694.689
POTE generator: ~3/2 = 694.689
Line 518: Line 478:


Mapping: [{{val|1 0 -4 -13 5 10 }}, {{val| 0 1 4 10 -1 -4 }}]
Mapping: [{{val|1 0 -4 -13 5 10 }}, {{val| 0 1 4 10 -1 -4 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 694.764
POTE generator: ~3/2 = 694.764
Line 535: Line 493:


[[Mapping]]: [{{val|1 0 -4 17}}, {{val|0 1 4 -9}}]
[[Mapping]]: [{{val|1 0 -4 17}}, {{val|0 1 4 -9}}]
Mapping generators: ~2, ~3


{{Multival|legend=1| 1 4 -9 4 -17 -32 }}
{{Multival|legend=1| 1 4 -9 4 -17 -32 }}
Line 570: Line 526:


Mapping: [{{val| 1 0 -4 17 -6 }}, {{val| 0 1 4 -9 6 }}]
Mapping: [{{val| 1 0 -4 17 -6 }}, {{val| 0 1 4 -9 6 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 693.126
POTE generator: ~3/2 = 693.126
Line 593: Line 547:


Mapping: [{{val| 1 0 -4 17 -6 10 }}, {{val| 0 1 4 -9 6 -4 }}]
Mapping: [{{val| 1 0 -4 17 -6 10 }}, {{val| 0 1 4 -9 6 -4 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 693.058
POTE generator: ~3/2 = 693.058
Line 752: Line 704:


[[Mapping]]: [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2 }}]
[[Mapping]]: [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2 }}]
Mapping generators: ~2, ~3


{{Multival|legend=1| 1 4 -2 4 -6 -16 }}
{{Multival|legend=1| 1 4 -2 4 -6 -16 }}
Line 775: Line 725:


Mapping: [{{val| 1 0 -4 6 13 }}, {{val| 0 1 4 -2 -6 }}]
Mapping: [{{val| 1 0 -4 6 13 }}, {{val| 0 1 4 -2 -6 }}]
Mapping generators: ~2, ~3


Tuning ranges:  
Tuning ranges:  
Line 796: Line 744:


Mapping: [{{val| 1 0 -4 6 13 18 }}, {{val| 0 1 4 -2 -6 -9 }}]
Mapping: [{{val| 1 0 -4 6 13 18 }}, {{val| 0 1 4 -2 -6 -9 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 703.636
POTE generator: ~3/2 = 703.636
Line 831: Line 777:


Mapping: [{{val| 1 0 -4 6 -6 }}, {{val| 0 1 4 -2 6 }}]
Mapping: [{{val| 1 0 -4 6 -6 }}, {{val| 0 1 4 -2 6 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 698.776
POTE generator: ~3/2 = 698.776
Line 847: Line 791:


Mapping: [{{val| 1 0 -4 6 -6 10 }}, {{val| 0 1 4 -2 6 -4 }}]
Mapping: [{{val| 1 0 -4 6 -6 10 }}, {{val| 0 1 4 -2 6 -4 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 695.762
POTE generator: ~3/2 = 695.762
Line 863: Line 805:


Mapping: [{{val| 1 0 -4 6 -6 10 12 }}, {{val| 0 1 4 -2 6 -4 -5 }}]
Mapping: [{{val| 1 0 -4 6 -6 10 12 }}, {{val| 0 1 4 -2 6 -4 -5 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.115
POTE generator: ~3/2 = 696.115
Line 879: Line 819:


Mapping: [{{val| 1 0 -4 6 -6 10 12 9 }}, {{val| 0 1 4 -2 6 -4 -5 -3 }}]
Mapping: [{{val| 1 0 -4 6 -6 10 12 9 }}, {{val| 0 1 4 -2 6 -4 -5 -3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.217
POTE generator: ~3/2 = 696.217
Line 895: Line 833:


Mapping: [{{val| 1 0 -4 6 -6 -1 }}, {{val| 0 1 4 -2 6 3 }}]
Mapping: [{{val| 1 0 -4 6 -6 -1 }}, {{val| 0 1 4 -2 6 3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 698.544
POTE generator: ~3/2 = 698.544
Line 909: Line 845:


Mapping: [{{val| 1 0 -4 6 -14 }}, {{val| 0 1 4 -2 11 }}]
Mapping: [{{val| 1 0 -4 6 -14 }}, {{val| 0 1 4 -2 11 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 705.004
POTE generator: ~3/2 = 705.004
Line 925: Line 859:


Mapping: [{{val| 1 0 -4 6 -14 -9 }}, {{val| 0 1 4 -2 11 8 }}]
Mapping: [{{val| 1 0 -4 6 -14 -9 }}, {{val| 0 1 4 -2 11 8 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 705.496
POTE generator: ~3/2 = 705.496
Line 941: Line 873:


Mapping: [{{val| 1 0 -4 6 5 }}, {{val| 0 1 4 -2 -1 }}]
Mapping: [{{val| 1 0 -4 6 5 }}, {{val| 0 1 4 -2 -1 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 698.491
POTE generator: ~3/2 = 698.491
Line 957: Line 887:


Mapping: [{{val| 1 0 -4 6 5 -1 }}, {{val| 0 1 4 -2 3 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 }}, {{val| 0 1 4 -2 3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.743
POTE generator: ~3/2 = 696.743
Line 973: Line 901:


Mapping: [{{val| 1 0 -4 6 5 -1 12 }}, {{val| 0 1 4 -2 3 -5 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 12 }}, {{val| 0 1 4 -2 3 -5 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 696.978
POTE generator: ~3/2 = 696.978
Line 989: Line 915:


Mapping: [{{val| 1 0 -4 6 5 -1 12 9 }}, {{val| 0 1 4 -2 3 -5 -3 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 12 9 }}, {{val| 0 1 4 -2 3 -5 -3 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 697.068
POTE generator: ~3/2 = 697.068
Line 1,007: Line 931:


[[Mapping]]: [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3 }}]
[[Mapping]]: [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3 }}]
Mapping generators: ~2, ~3


{{Multival|legend=1| 1 4 3 4 2 -4 }}
{{Multival|legend=1| 1 4 3 4 2 -4 }}
Line 1,039: Line 961:


[[Mapping]]: [{{val| 1 0 -4 -5 }}, {{val| 0 1 4 5 }}]
[[Mapping]]: [{{val| 1 0 -4 -5 }}, {{val| 0 1 4 5 }}]
Mapping generators: ~2, ~3


{{Multival|legend=1| 1 4 5 4 5 0 }}
{{Multival|legend=1| 1 4 5 4 5 0 }}
Line 1,057: Line 977:


Mapping: [{{val| 1 0 -4 -5 -6 }}, {{val| 0 1 4 5 6 }}]
Mapping: [{{val| 1 0 -4 -5 -6 }}, {{val| 0 1 4 5 6 }}]
Mapping generators: ~2, ~3


POTE generator: ~3/2 = 685.234
POTE generator: ~3/2 = 685.234
Line 2,092: Line 2,010:


[[Mapping]]: [{{val| 5 0 -20 14 }}, {{val| 0 1 4 0 }}]
[[Mapping]]: [{{val| 5 0 -20 14 }}, {{val| 0 1 4 0 }}]
Mapping generators: ~8/7, ~3


{{Multival|legend=1| 5 20 0 20 -14 -56 }}
{{Multival|legend=1| 5 20 0 20 -14 -56 }}
Line 2,108: Line 2,028:


Mapping: [{{val| 5 0 -20 14 41 }}, {{val| 0 1 4 0 -3 }}]
Mapping: [{{val| 5 0 -20 14 41 }}, {{val| 0 1 4 0 -3 }}]
Mapping generators: ~8/7, ~3


POTE generator: ~3/2 = 696.536
POTE generator: ~3/2 = 696.536
Line 2,122: Line 2,044:


Mapping: [{{val| 5 0 -20 14 41 -21 }}, {{val| 0 1 4 0 -3 5 }}]
Mapping: [{{val| 5 0 -20 14 41 -21 }}, {{val| 0 1 4 0 -3 5 }}]
Mapping generators: ~8/7, ~3


POTE generator: ~3/2 = 696.162
POTE generator: ~3/2 = 696.162
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