Xenharmonic Wiki

Subgroup temperaments: Difference between revisions

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m Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "
Line 129: Line 129:
{{Mapping|legend=2| 1 0 15 25 -28 | 0 1 -4 -7 10 }}
{{Mapping|legend=2| 1 0 15 25 -28 | 0 1 -4 -7 10 }}


{{Mapping|legend=3| 1 3/2 3 4 0 2 | 0 1/2 -4 -7 0 10 }}
{{Mapping|legend=5| 1 3/2 3 4 0 2 | 0 1/2 -4 -7 0 10 }}


: [[gencom]]: [2 9/8; 225/224 325/324 640/637]
: [[gencom]]: [2 9/8; 225/224 325/324 640/637]
Line 216: Line 216:
{{Mapping|legend=2| 1 0 -4 -6 10 | 0 1 2 3 -2 }}
{{Mapping|legend=2| 1 0 -4 -6 10 | 0 1 2 3 -2 }}


{{Mapping|legend=3| 1 3/2 2 0 3 4 | 0 1/2 2 0 3 -2 }}
{{Mapping|legend=5| 1 3/2 2 0 3 4 | 0 1/2 2 0 3 -2 }}


: [[gencom]]: [2 9/8; 45/44 65/64 81/80]
: [[gencom]]: [2 9/8; 45/44 65/64 81/80]
Line 264: Line 264:
: mapping generators: ~2, ~77/72
: mapping generators: ~2, ~77/72


{{Mapping|legend=3| 1 5/2 0 3 5 | 0 -19/2 0 -2 -16 }}
{{Mapping|legend=5| 1 5/2 0 3 5 | 0 -19/2 0 -2 -16 }}


: [[gencom]]: [2 77/72; 41503/41472 322102/321489]
: [[gencom]]: [2 77/72; 41503/41472 322102/321489]
Line 285: Line 285:
{{Mapping|legend=2| 1 0 1 3 | 0 7 4 1 }}
{{Mapping|legend=2| 1 0 1 3 | 0 7 4 1 }}


{{Mapping|legend=3| 1 0 0 1 3 | 0 7/2 0 4 1 }}
{{Mapping|legend=5| 1 0 0 1 3 | 0 7/2 0 4 1 }}


: [[gencom]]: [2 11/8; 99/98 9317/9216]
: [[gencom]]: [2 11/8; 99/98 9317/9216]
Line 306: Line 306:
: sval mapping generators: ~2, ~9
: sval mapping generators: ~2, ~9


{{Mapping|legend=3| 1 3/2 0 3 4 | 0 1/2 0 -1 -3 }}
{{Mapping|legend=5| 1 3/2 0 3 4 | 0 1/2 0 -1 -3 }}


: [[gencom]]: [2 8/7; 64/63 99/98]
: [[gencom]]: [2 8/7; 64/63 99/98]
Line 329: Line 329:
: sval mapping generators: ~2, ~14/9
: sval mapping generators: ~2, ~14/9


{{Mapping|legend=3| 1 5/2 0 5 2 | 0 -5/2 0 -6 4 }}
{{Mapping|legend=5| 1 5/2 0 5 2 | 0 -5/2 0 -6 4 }}


: [[gencom]]: [2 9/7; 896/891 26411/26244]
: [[gencom]]: [2 9/7; 896/891 26411/26244]
Line 398: Line 398:
: sval mapping generators: ~2, ~14/9
: sval mapping generators: ~2, ~14/9


{{Mapping|legend=3| 1 5/2 5/2 5 | 0 -5/2 -1/2 -6 }}
{{Mapping|legend=5| 1 5/2 5/2 5 | 0 -5/2 -1/2 -6 }}


: [[gencom]]: [2 9/7; 225/224 245/243]
: [[gencom]]: [2 9/7; 225/224 245/243]
Line 454: Line 454:
: sval mapping generators: ~2, ~21/16
: sval mapping generators: ~2, ~21/16


{{Mapping|legend=3| 1 1 0 3 | 0 3/2 0 -1/2 }}
{{Mapping|legend=5| 1 1 0 3 | 0 3/2 0 -1/2 }}


: [[gencom]]: [2 21/16; 1029/1024]
: [[gencom]]: [2 21/16; 1029/1024]
Line 948: Line 948:
: mapping generators: ~2, ~5/3
: mapping generators: ~2, ~5/3


{{Mapping|legend=3| 1 -1/2 1/2 2 4 | 0 1/2 -1/2 3 -2 }}
{{Mapping|legend=5| 1 -1/2 1/2 2 4 | 0 1/2 -1/2 3 -2 }}
: [[gencom]]: [2 6/5; 100/99 385/384]
: [[gencom]]: [2 6/5; 100/99 385/384]


Line 973: Line 973:
: mapping generators: ~2, ~5/3
: mapping generators: ~2, ~5/3


{{Mapping|legend=3| 1 -1 0 1 | 0 4/3 1/3 -5/3 }}
{{Mapping|legend=5| 1 -1 0 1 | 0 4/3 1/3 -5/3 }}
: [[gencom]]: [2 6/5; 126/125]
: [[gencom]]: [2 6/5; 126/125]


Line 995: Line 995:
{{Mapping|legend=2| 1 1 2 2 | 0 -2 -6 -1 }}
{{Mapping|legend=2| 1 1 2 2 | 0 -2 -6 -1 }}


{{Mapping|legend=3| 1 -5/4 -1/4 3/4 3/4 | 0 9/4 1/4 -15/4 5/4 }}
{{Mapping|legend=5| 1 -5/4 -1/4 3/4 3/4 | 0 9/4 1/4 -15/4 5/4 }}
: [[gencom]]: [2 11/10; 121/120 126/125]
: [[gencom]]: [2 11/10; 121/120 126/125]


Line 1,018: Line 1,018:
{{Mapping|legend=2| 1 0 -1 2 2 | 0 1 3 2 -2 }}
{{Mapping|legend=2| 1 0 -1 2 2 | 0 1 3 2 -2 }}


{{Mapping|legend=3| 1 -3/7 4/7 11/7 4 -6/7 | 0 0 -1 -3 -2 2 }}
{{Mapping|legend=5| 1 -3/7 4/7 11/7 4 -6/7 | 0 0 -1 -3 -2 2 }}
: [[gencom]]: [2 6/5; 56/55 91/90 100/99]
: [[gencom]]: [2 6/5; 56/55 91/90 100/99]


Line 1,043: Line 1,043:
{{Mapping|legend=2| 1 0 0 0 | 0 3 5 1 }}
{{Mapping|legend=2| 1 0 0 0 | 0 3 5 1 }}


{{Mapping|legend=3| 1 0 0 0 0 0 | 0 -8/3 1/3 7/3 -1/2 1/2 }}
{{Mapping|legend=5| 1 0 0 0 0 0 | 0 -8/3 1/3 7/3 -1/2 1/2 }}
: [[gencom]]: [2 13/11; 275/273 847/845]
: [[gencom]]: [2 13/11; 275/273 847/845]


Line 1,065: Line 1,065:
{{Mapping|legend=2| 1 0 0 2 | 0 6 10 -1 }}
{{Mapping|legend=2| 1 0 0 2 | 0 6 10 -1 }}


{{Mapping|legend=3| 1 -1/2 -1/2 -1/2 3/2 | 0 -15/4 9/4 25/4 -19/4 }}
{{Mapping|legend=5| 1 -1/2 -1/2 -1/2 3/2 | 0 -15/4 9/4 25/4 -19/4 }}
: [[gencom]]: [2 12/11; 3025/3024 3125/3087]
: [[gencom]]: [2 12/11; 3025/3024 3125/3087]


Line 1,089: Line 1,089:
{{Mapping|legend=2| 1 3 5 3 4 | 0 -6 -10 -3 -5 }}
{{Mapping|legend=2| 1 3 5 3 4 | 0 -6 -10 -3 -5 }}


{{Mapping|legend=3| 1 -3 0 2 0 1 | 0 24/5 -6/5 -26/5 9/5 -1/5 }}
{{Mapping|legend=5| 1 -3 0 2 0 1 | 0 24/5 -6/5 -26/5 9/5 -1/5 }}
: [[gencom]]: [2 13/10; 121/120 169/168 275/273]
: [[gencom]]: [2 13/10; 121/120 169/168 275/273]


Line 1,111: Line 1,111:
{{Mapping|legend=2| 1 0 0 | 0 2 1 }}
{{Mapping|legend=2| 1 0 0 | 0 2 1 }}


{{Mapping|legend=3| 1 0 0 0 | 0 0 2 -1 }}
{{Mapping|legend=5| 1 0 0 0 | 0 0 2 -1 }}
: [[gencom]]: [2 9/7; 245/243]
: [[gencom]]: [2 9/7; 245/243]


Line 1,134: Line 1,134:
{{Mapping|legend=2| 1 0 2 | 0 1 -2 }}
{{Mapping|legend=2| 1 0 2 | 0 1 -2 }}


{{Mapping|legend=3| 1 -1/6 5/6 0 0 -1/3 | 0 -1/2 -3/2 0 0 1 }}
{{Mapping|legend=5| 1 -1/6 5/6 0 0 -1/3 | 0 -1/2 -3/2 0 0 1 }}
: [[gencom]]: [2 6/5; 325/324]
: [[gencom]]: [2 6/5; 325/324]


Line 1,158: Line 1,158:
: mapping generators: ~2, ~7/6
: mapping generators: ~2, ~7/6


{{Mapping|legend=3| 1 -4/3 3 -1/3 5/3 | 0 4/3 -3 7/3 -11/3 }}
{{Mapping|legend=5| 1 -4/3 3 -1/3 5/3 | 0 4/3 -3 7/3 -11/3 }}
: [[gencom]]: [2 7/6; 176/175 540/539]
: [[gencom]]: [2 7/6; 176/175 540/539]


Line 1,200: Line 1,200:
{{Mapping|legend=2| 1 0 2 -2 6 | 0 3 -1 5 -5 }}
{{Mapping|legend=2| 1 0 2 -2 6 | 0 3 -1 5 -5 }}


{{Mapping|legend=3| 1 -5/4 3 -1/4 7/4 -1/4 | 0 -1/4 -3 3/4 -21/4 19/4 }}
{{Mapping|legend=5| 1 -5/4 3 -1/4 7/4 -1/4 | 0 -1/4 -3 3/4 -21/4 19/4 }}
: [[gencom]]: [2 7/6; 144/143 176/175 196/195]
: [[gencom]]: [2 7/6; 144/143 176/175 196/195]


Line 1,225: Line 1,225:
: mapping generators: ~2, ~13/12
: mapping generators: ~2, ~13/12


{{Mapping|legend=3| 1 -5/4 2 -1/4 3/4 3/4 | 0 -1/2 3 3/2 -3/2 1/2 }}
{{Mapping|legend=5| 1 -5/4 2 -1/4 3/4 3/4 | 0 -1/2 3 3/2 -3/2 1/2 }}
: [[gencom]]: [2 13/12; 56/55 78/77 91/90]
: [[gencom]]: [2 13/12; 56/55 78/77 91/90]


Line 1,248: Line 1,248:
: mapping generators: ~2, ~21/20
: mapping generators: ~2, ~21/20


{{Mapping|legend=3| 1 1/10 -4/5 11/10 1/5 | 0 -3/2 -1 3/2 1 }}
{{Mapping|legend=5| 1 1/10 -4/5 11/10 1/5 | 0 -3/2 -1 3/2 1 }}
: [[gencom]]: [2 21/20; 100/99 245/242]
: [[gencom]]: [2 21/20; 100/99 245/242]


Line 1,271: Line 1,271:
: mapping generators: ~2, ~7/3
: mapping generators: ~2, ~7/3


{{Mapping|legend=3| 1 -1/2 0 1/2 3 | 0 -1/2 0 1/2 2 }}
{{Mapping|legend=5| 1 -1/2 0 1/2 3 | 0 -1/2 0 1/2 2 }}
: [[gencom]]: [2 7/6; 99/98]
: [[gencom]]: [2 7/6; 99/98]


Line 1,295: Line 1,295:
: mapping generators: ~2, ~5
: mapping generators: ~2, ~5


{{Mapping|legend=3| 1 2 0 -1 | 0 -4/5 1 2/5 }}
{{Mapping|legend=5| 1 2 0 -1 | 0 -4/5 1 2/5 }}
: [[gencom]]: [2 5; 225/224]
: [[gencom]]: [2 5; 225/224]


Line 1,369: Line 1,369:
: mapping generators: ~2, ~3
: mapping generators: ~2, ~3


{{Mapping|legend=3| 1 1 -5 -1 2 4 | 0 1 29/4 5/4 -11/4 -23/4 }}
{{Mapping|legend=5| 1 1 -5 -1 2 4 | 0 1 29/4 5/4 -11/4 -23/4 }}
: [[gencom]]: [2 3/2; 196/195, 352/351, 364/363]
: [[gencom]]: [2 3/2; 196/195, 352/351, 364/363]


Line 1,391: Line 1,391:
{{Mapping|legend=2| 1 0 10 -6 -1 | 0 2 -12 9 3 }}
{{Mapping|legend=2| 1 0 10 -6 -1 | 0 2 -12 9 3 }}


{{Mapping|legend=3| 1 2 -3/4 -11/4 9/4 5/4 | 0 -2 0 12 -9 -3 }}
{{Mapping|legend=5| 1 2 -3/4 -11/4 9/4 5/4 | 0 -2 0 12 -9 -3 }}
: [[gencom]]: [2 15/13; 352/351 676/675 847/845]
: [[gencom]]: [2 15/13; 352/351 676/675 847/845]


Line 1,430: Line 1,430:
{{Mapping|legend=2| 3 1 3 | 0 1 -1 }}
{{Mapping|legend=2| 3 1 3 | 0 1 -1 }}


{{Mapping|legend=3| 3 10/9 -7/9 2/9 | 0 -2/3 -1/3 2/3 }}
{{Mapping|legend=5| 3 10/9 -7/9 2/9 | 0 -2/3 -1/3 2/3 }}
: [[gencom]]: [63/50 10/9; 250047/250000]
: [[gencom]]: [63/50 10/9; 250047/250000]


Line 1,451: Line 1,451:
{{Mapping|legend=2| 1 2 0 1 | 0 -4 3 1 }}
{{Mapping|legend=2| 1 2 0 1 | 0 -4 3 1 }}


{{Mapping|legend=3| 1 0 -3/4 5/4 -3/4 1/4 | 0 0 0 -4 3 1 }}
{{Mapping|legend=5| 1 0 -3/4 5/4 -3/4 1/4 | 0 0 0 -4 3 1 }}
: [[gencom]]: [2 13/10; 847/845 1001/1000]
: [[gencom]]: [2 13/10; 847/845 1001/1000]


Line 1,467: Line 1,467:
{{Mapping|legend=2| 1 2 0 1 1 | 0 -4 3 1 2 }}
{{Mapping|legend=2| 1 2 0 1 1 | 0 -4 3 1 2 }}


{{Mapping|legend=3| 1 0 -3/4 5/4 -3/4 1/4 1/4 | 0 0 0 -4 3 1 2 }}
{{Mapping|legend=5| 1 0 -3/4 5/4 -3/4 1/4 1/4 | 0 0 0 -4 3 1 2 }}
: [[gencom]]: [2 13/10; 170/169 221/220 847/845]
: [[gencom]]: [2 13/10; 170/169 221/220 847/845]


Line 1,490: Line 1,490:
{{Mapping|legend=2| 1 0 1| 0 3 1 }}
{{Mapping|legend=2| 1 0 1| 0 3 1 }}


{{Mapping|legend=3| 1 0 -1/3 0 -1/3 2/3 | 0 0 -4/3 0 5/3 -1/3 }}
{{Mapping|legend=5| 1 0 -1/3 0 -1/3 2/3 | 0 0 -4/3 0 5/3 -1/3 }}
: [[gencom]]: [2 13/10; 2200/2197]
: [[gencom]]: [2 13/10; 2200/2197]


Line 1,510: Line 1,510:
{{Mapping|legend=2| 1 0 -6 -1 | 0 2 9 3 }}
{{Mapping|legend=2| 1 0 -6 -1 | 0 2 9 3 }}


{{Mapping|legend=3| 1 2 -5/3 0 4/3 1/3 | 0 -2 4 0 -5 1 }}
{{Mapping|legend=5| 1 2 -5/3 0 4/3 1/3 | 0 -2 4 0 -5 1 }}
: [[gencom]]: [2 15/13; 352/351 676/675]
: [[gencom]]: [2 15/13; 352/351 676/675]


Line 1,647: Line 1,647:
{{Mapping|legend=2| 1 0 7 12 | 0 1 -4 -7 }}
{{Mapping|legend=2| 1 0 7 12 | 0 1 -4 -7 }}


{{Mapping|legend=3| 1 1 0 -8/3 1/3 7/3 | 0 1 0 11/3 -1/3 -10/3 }}
{{Mapping|legend=5| 1 1 0 -8/3 1/3 7/3 | 0 1 0 11/3 -1/3 -10/3 }}
: [[gencom]]: [2 3/2; 352/351 364/363]
: [[gencom]]: [2 3/2; 352/351 364/363]


Line 1,688: Line 1,688:
{{Mapping|legend=2| 2 0 -1 -2 | 0 2 5 3 }}
{{Mapping|legend=2| 2 0 -1 -2 | 0 2 5 3 }}


{{Mapping|legend=3| 2 4 -2 0 9 2 | 0 -2 3/2 0 -5 -3/2 }}
{{Mapping|legend=5| 2 4 -2 0 9 2 | 0 -2 3/2 0 -5 -3/2 }}
: [[gencom]]: [55/39 15/13; 243/242 676/675]
: [[gencom]]: [55/39 15/13; 243/242 676/675]


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