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Schismatic family: Difference between revisions

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{{Mapping|legend=1| 1 0 15 | 0 1 -8 }}
{{Mapping|legend=1| 1 0 15 | 0 1 -8 }}


: mapping generators: ~2, ~3
: Mapping generators: ~2, ~3


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 701.736
[[Optimal tuning]]s:
* [[POTE]]: ~2 = 1\1, ~3/2 = 701.7359
* [[CTE]]: ~2 = 1\1, ~3/2 = 701.7187


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 63: Line 65:
{{Mapping|legend=1| 1 0 15 25 | 0 1 -8 -14 }}
{{Mapping|legend=1| 1 0 15 25 | 0 1 -8 -14 }}


: mapping generators: ~2, ~3
: Mapping generators: ~2, ~3


{{Multival|legend=1| 1 -8 -14 -15 -25 -10 }}
{{Multival|legend=1| 1 -8 -14 -15 -25 -10 }}
Line 415: Line 417:
Mapping: {{mapping| 1 0 15 25 9 | 0 2 -16 -28 -7 }}
Mapping: {{mapping| 1 0 15 25 9 | 0 2 -16 -28 -7 }}


: mapping generators: ~2, ~110/63
: Mapping generators: ~2, ~110/63


Optimal tuning (POTE): ~2 = 1\1, ~110/63 = 951.082 (~63/55 = 248.918)
Optimal tuning (POTE): ~2 = 1\1, ~110/63 = 951.082 (~63/55 = 248.918)
Line 445: Line 447:
Mapping: {{mapping| 1 1 7 11 2 | 0 2 -16 -28 5 }}
Mapping: {{mapping| 1 1 7 11 2 | 0 2 -16 -28 5 }}


: mapping generators: ~2, ~11/9
: Mapping generators: ~2, ~11/9


Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 350.994
Optimal tuning (POTE): ~2 = 1\1, ~11/9 = 350.994
Line 795: Line 797:
Mapping: {{mapping| 2 0 30 -118 -85 | 0 1 -8 39 29 }}
Mapping: {{mapping| 2 0 30 -118 -85 | 0 1 -8 39 29 }}


: mapping generators: ~99/70, ~3
: Mapping generators: ~99/70, ~3


Optimal tuning (POTE): ~99/70 = 1\2, ~3/2 = 701.757
Optimal tuning (POTE): ~99/70 = 1\2, ~3/2 = 701.757
Line 877: Line 879:
Mapping: {{mapping| 4 0 60 -236 -170 -131 | 0 1 -8 39 29 23 }}
Mapping: {{mapping| 4 0 60 -236 -170 -131 | 0 1 -8 39 29 23 }}


: mapping generators: ~208/175, ~3
: Mapping generators: ~208/175, ~3


Optimal tuning (POTE): ~208/175 = 1\4, ~3/2 = 701.756
Optimal tuning (POTE): ~208/175 = 1\4, ~3/2 = 701.756
Line 894: Line 896:
{{Mapping|legend=1| 1 0 15 44 | 0 1 -8 -26 }}
{{Mapping|legend=1| 1 0 15 44 | 0 1 -8 -26 }}


: mapping generators: ~2, ~3
: Mapping generators: ~2, ~3


{{Multival|legend=1| 1 -8 -26 -15 -44 -38 }}
{{Multival|legend=1| 1 -8 -26 -15 -44 -38 }}
Line 1,019: Line 1,021:
{{Mapping|legend=1| 2 0 30 69 | 0 1 -8 -20 }}
{{Mapping|legend=1| 2 0 30 69 | 0 1 -8 -20 }}


: mapping generators: ~567/400, ~3
: Mapping generators: ~567/400, ~3


{{Multival|legend=1| 2 -16 -40 -30 -69 -48 }}
{{Multival|legend=1| 2 -16 -40 -30 -69 -48 }}
Line 1,105: Line 1,107:
{{Mapping|legend=1| 2 1 22 -15 | 0 2 -16 19 }}
{{Mapping|legend=1| 2 1 22 -15 | 0 2 -16 19 }}


: mapping generators: ~1225/864, ~35/24
: Mapping generators: ~1225/864, ~35/24


{{Multival|legend=1| 4 -32 38 -60 49 178 }}
{{Multival|legend=1| 4 -32 38 -60 49 178 }}
Line 1,187: Line 1,189:
{{Mapping|legend=1| 1 0 15 -17 | 0 2 -16 25 }}
{{Mapping|legend=1| 1 0 15 -17 | 0 2 -16 25 }}


: mapping generators: ~2, ~140/81
: Mapping generators: ~2, ~140/81


{{Multival|legend=1| 2 -16 25 -30 34 103 }}
{{Multival|legend=1| 2 -16 25 -30 34 103 }}
Line 1,206: Line 1,208:
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.783
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.783


{{Optimal ET sequence|legend=1| 24i, 53, 130 }} <!-- 443h is not a GPV -->
{{Optimal ET sequence|legend=1| 24i, 53, 130 }}


Badness (Dirichlet): 0.583
Badness (Dirichlet): 0.583
Line 1,247: Line 1,249:
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.810
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.810


{{Optimal ET sequence|legend=1| 53, 130, 183, 496d }} <!-- 679df is not a GPV -->
{{Optimal ET sequence|legend=1| 53, 130, 183, 496d }}


Badness: 0.021073
Badness: 0.021073
Line 1,260: Line 1,262:
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.809
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.809


{{Optimal ET sequence|legend=1| 53, 130, 183, 313h }} <!-- 496dh is not a GPV -->
{{Optimal ET sequence|legend=1| 53, 130, 183, 313h }}


Badness (Dirichlet): 1.111
Badness : 0.018262


=== 23-limit ===
=== 23-limit ===
Line 1,273: Line 1,275:
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.807
Optimal tuning (POTE): ~2 = 1\1, ~26/15 = 950.807


{{Optimal ET sequence|legend=1| 53, 130, 183, 313h }} <!-- 496dh is not a GPV -->
{{Optimal ET sequence|legend=1| 53, 130, 183, 313h }}


Badness (Dirichlet): 1.061
Badness (Dirichlet): 0.014819


; Music
; Music
Line 1,324: Line 1,326:


== Tertiaschis ==
== Tertiaschis ==
The tertiaschis temperament ({{nowrap|94 &amp; 159}}) has a ~11/10 generator, sharing the same 2.3.5.11 subgroup with [[#Squirrel]], but tempers out 1071785/1062882 for prime 7.  
The tertiaschis temperament ({{nowrap|94 &amp; 159}}) has a ~11/10 generator, sharing the same 2.3.5.11 subgroup with [[#Squirrel]], but tempers out 1071875/1062882 for prime 7.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
Line 1,431: Line 1,433:
{{Mapping|legend=1| 2 1 22 2 | 0 3 -24 5 }}
{{Mapping|legend=1| 2 1 22 2 | 0 3 -24 5 }}


: mapping generators: ~343/243, ~9/7
: Mapping generators: ~343/243, ~9/7


{{Multival|legend=1| 6 -48 10 -90 -1 158 }}
{{Multival|legend=1| 6 -48 10 -90 -1 158 }}
Line 1,476: Line 1,478:
{{Mapping|legend=1| 3 0 45 94 | 0 1 -8 -18 }}
{{Mapping|legend=1| 3 0 45 94 | 0 1 -8 -18 }}


: mapping generators: ~63/50, ~3
: Mapping generators: ~63/50, ~3


{{Multival|legend=1| 3 -24 -54 -45 -94 -58 }}
{{Multival|legend=1| 3 -24 -54 -45 -94 -58 }}


[[Optimal tuning]] ([[POTE]]): ~63/50 = 400.000, ~3/2 = 701.742
[[Optimal tuning]] ([[POTE]]): ~63/50 = 1＼3, ~3/2 = 701.742


[[Minimax tuning]]:  
[[Minimax tuning]]:  
Line 1,499: Line 1,501:
Mapping: {{mapping| 3 0 45 94 134 | 0 1 -8 -18 -26 }}
Mapping: {{mapping| 3 0 45 94 134 | 0 1 -8 -18 -26 }}


Optimal tuning (POTE): ~44/35 = 400.000, ~3/2 = 701.824
Optimal tuning (POTE): ~44/35 = 1＼3, ~3/2 = 701.824


{{Optimal ET sequence|legend=0| 12, 147de, 159, 330 }}
{{Optimal ET sequence|legend=0| 12, 147de, 159, 330 }}
Line 1,512: Line 1,514:
Mapping: {{mapping| 3 0 45 94 134 168 | 0 1 -8 -18 -26 -33 }}
Mapping: {{mapping| 3 0 45 94 134 168 | 0 1 -8 -18 -26 -33 }}


Optimal tuning (POTE): ~44/35 = 400.000, ~3/2 = 701.821
Optimal tuning (POTE): ~44/35 = 1＼3, ~3/2 = 701.821


{{Optimal ET sequence|legend=0| 12f, 147def, 159, 330 }}
{{Optimal ET sequence|legend=0| 12f, 147def, 159, 330 }}
Line 1,525: Line 1,527:
Mapping: {{mapping| 3 0 45 94 134 168 -2 | 0 1 -8 -18 -26 -33 3 }}
Mapping: {{mapping| 3 0 45 94 134 168 -2 | 0 1 -8 -18 -26 -33 3 }}


Optimal tuning (POTE): ~34/27 = 400.000, ~3/2 = 701.810
Optimal tuning (POTE): ~34/27 = 1＼3, ~3/2 = 701.810


{{Optimal ET sequence|legend=0| 12f, 147def, 159, 171, 330 }}
{{Optimal ET sequence|legend=0| 12f, 147def, 159, 171, 330 }}
Line 1,538: Line 1,540:
Mapping: {{mapping| 3 0 45 94 -137 | 0 1 -8 -18 31 }}
Mapping: {{mapping| 3 0 45 94 -137 | 0 1 -8 -18 31 }}


Optimal tuning (POTE): ~63/50 = 400.000, ~3/2 = 701.685
Optimal tuning (POTE): ~63/50 = 1＼3, ~3/2 = 701.685


{{Optimal ET sequence|legend=0| 12e, 159e, 171, 183, 354, 537, 891de }}
{{Optimal ET sequence|legend=0| 12e, 159e, 171, 183, 354, 537, 891de }}
Line 1,551: Line 1,553:
Mapping: {{mapping| 3 0 45 94 -137 -103 | 0 1 -8 -18 31 24 }}
Mapping: {{mapping| 3 0 45 94 -137 -103 | 0 1 -8 -18 31 24 }}


Optimal tuning (POTE): ~63/50 = 400.000, ~3/2 = 701.689
Optimal tuning (POTE): ~63/50 = 1＼3, ~3/2 = 701.689


{{Optimal ET sequence|legend=0| 171, 183, 354, 891de, 1245dee, 1599ddee }}
{{Optimal ET sequence|legend=0| 171, 183, 354, 891de, 1245dee, 1599ddee }}
Line 1,564: Line 1,566:
Mapping: {{mapping| 3 0 45 94 -137 -103 -2 | 0 1 -8 -18 31 24 3 }}
Mapping: {{mapping| 3 0 45 94 -137 -103 -2 | 0 1 -8 -18 31 24 3 }}


Optimal tuning (POTE): ~63/50 = 400.000, ~3/2 = 701.688
Optimal tuning (POTE): ~63/50 = 1＼3, ~3/2 = 701.688


{{Optimal ET sequence|legend=0| 171, 183, 354, 891de, 1245dee, 1599ddee }}
{{Optimal ET sequence|legend=0| 171, 183, 354, 891de, 1245dee, 1599ddee }}
Line 1,579: Line 1,581:
Mapping: {{mapping| 6 0 90 188 287 | 0 1 -8 -18 -28 }}
Mapping: {{mapping| 6 0 90 188 287 | 0 1 -8 -18 -28 }}


: mapping generators: ~55/49, ~3
: Mapping generators: ~55/49, ~3


Optimal tuning (POTE): ~55/49 = 200.000, ~3/2 = 701.7460
Optimal tuning (POTE): ~55/49 = 1＼6, ~3/2 = 701.7460


{{Optimal ET sequence|legend=0| 12, 330e, 342, 1380, 1722, 2064, 2406c }}
{{Optimal ET sequence|legend=0| 12, 330e, 342, 1380, 1722, 2064, 2406c }}
Line 1,594: Line 1,596:
Mapping: {{mapping| 6 0 90 188 287 355 | 0 1 -8 -18 -28 -35 }}
Mapping: {{mapping| 6 0 90 188 287 355 | 0 1 -8 -18 -28 -35 }}


Optimal tuning (POTE): ~55/49 = 200.000, ~3/2 = 701.7256
Optimal tuning (POTE): ~55/49 = 1＼6, ~3/2 = 701.7256


{{Optimal ET sequence|legend=0| 12f, 330eff, 342f, 696f }} *
{{Optimal ET sequence|legend=0| 12f, 330eff, 342f, 696f }} *
Line 1,611: Line 1,613:
: mapping generators: ~63/50, ~693/400
: mapping generators: ~63/50, ~693/400


Optimal tuning (POTE): ~63/50 = 400.000, ~693/400 = 950.872 (~12/11 = 150.872)
Optimal tuning (POTE): ~63/50 = 1＼3, ~693/400 = 950.872 (~12/11 = 150.872)


{{Optimal ET sequence|legend=0| 24d, 159, 183, 342, 1209, 1551, 1893e, 2235ce }}
{{Optimal ET sequence|legend=0| 24d, 159, 183, 342, 1209, 1551, 1893e, 2235ce }}
Line 1,624: Line 1,626:
Mapping: {{mapping| 3 0 45 94 8 42 | 0 2 -16 -36 1 -13 }}
Mapping: {{mapping| 3 0 45 94 8 42 | 0 2 -16 -36 1 -13 }}


Optimal tuning (POTE): ~63/50 = 400.000, ~26/15 = 950.873 (~12/11 = 150.873)
Optimal tuning (POTE): ~63/50 = 1＼3, ~26/15 = 950.873 (~12/11 = 150.873)


{{Optimal ET sequence|legend=0| 24d, 159, 183, 342f }}
{{Optimal ET sequence|legend=0| 24d, 159, 183, 342f }}
Line 1,637: Line 1,639:
Mapping: {{mapping| 3 0 45 94 8 42 -2 | 0 2 -16 -36 1 -13 6 }}
Mapping: {{mapping| 3 0 45 94 8 42 -2 | 0 2 -16 -36 1 -13 6 }}


Optimal tuning (POTE): ~34/27 = 400.000, ~26/15 = 950.867 (~12/11 = 150.867)
Optimal tuning (POTE): ~34/27 = 1＼3, ~26/15 = 950.867 (~12/11 = 150.867)


{{Optimal ET sequence|legend=0| 24d, 159, 183, 342f, 525f, 867ff }}
{{Optimal ET sequence|legend=0| 24d, 159, 183, 342f, 525f, 867ff }}
Line 1,652: Line 1,654:
: mapping generators: ~1536/1225, ~34300/19683
: mapping generators: ~1536/1225, ~34300/19683


[[Optimal tuning]] ([[CTE]]): ~1536/1225 = 1\3, ~34300/19683 = 950.9654
[[Optimal tuning]] ([[CTE]]): ~1536/1225 = 1＼3, ~34300/19683 = 950.9654


{{Optimal ET sequence|legend=1| 24, …, 111c, 135, 159, 612ccdd, 771ccdd }}
{{Optimal ET sequence|legend=1| 24, …, 111c, 135, 159, 612ccdd, 771ccdd }}
Line 1,665: Line 1,667:
Mapping: {{mapping| 3 0 45 -32 8 | 0 2 -16 17 1 }}
Mapping: {{mapping| 3 0 45 -32 8 | 0 2 -16 17 1 }}


Optimal tuning (CTE): ~44/35 = 1\3, ~121/70 = 950.9658
Optimal tuning (CTE): ~44/35 = 1＼3, ~121/70 = 950.9658


Optimal ET sequence: {{Optimal ET sequence| 24, …, 111c, 135, 159, 612ccdd, 771ccdd }}
Optimal ET sequence: {{Optimal ET sequence| 24, …, 111c, 135, 159, 612ccdd, 771ccdd }}
Line 1,678: Line 1,680:
Mapping: {{mapping| 3 0 45 -32 8 42 | 0 2 -16 17 1 -13 }}
Mapping: {{mapping| 3 0 45 -32 8 42 | 0 2 -16 17 1 -13 }}


Optimal tuning (CTE): ~44/35 = 1\3, ~26/15 = 950.9360
Optimal tuning (CTE): ~44/35 = 1＼3, ~26/15 = 950.9360


Optimal ET sequence: {{Optimal ET sequence| 24, …, 111cf, 135f, 159 }}
Optimal ET sequence: {{Optimal ET sequence| 24, …, 111cf, 135f, 159 }}
Line 1,691: Line 1,693:
{{Mapping|legend=1| 1 1 7 5 | 0 4 -32 -15 }}
{{Mapping|legend=1| 1 1 7 5 | 0 4 -32 -15 }}


: mapping generators: ~2, ~448/405
: Mapping generators: ~2, ~448/405


{{Multival|legend=1| 4 -32 -15 -60 -35 55 }}
{{Multival|legend=1| 4 -32 -15 -60 -35 55 }}
Line 1,842: Line 1,844:
Mapping: {{mapping| 2 2 14 10 23 | 0 4 -32 -15 -55 }}
Mapping: {{mapping| 2 2 14 10 23 | 0 4 -32 -15 -55 }}


: mapping generators: ~99/70, ~448/405
: Mapping generators: ~99/70, ~448/405


Optimal tuning (POTE): ~99/70 = 1\2, ~448/405 = 175.435
Optimal tuning (POTE): ~99/70 = 1\2, ~448/405 = 175.435
Line 1,876: Line 1,878:
Optimal tuning (POTE): ~2 = 1\1, ~35/33 = 99.616
Optimal tuning (POTE): ~2 = 1\1, ~35/33 = 99.616


{{Optimal ET sequence|legend=1| 12, 253, 265, 518c, 783cc }}
{{Optimal ET sequence|legend=0| 12, 253, 265, 518c, 783cc }}


Badness: 0.113044
Badness: 0.113044
Line 1,889: Line 1,891:
Optimal tuning (POTE): ~2 = 1\1, ~35/33 = 99.612
Optimal tuning (POTE): ~2 = 1\1, ~35/33 = 99.612


{{Optimal ET sequence|legend=1| 12f, 253, 518c, 771cc }}
{{Optimal ET sequence|legend=0| 12f, 253, 518c, 771cc }}


Badness: 0.069127
Badness: 0.069127
Line 1,902: Line 1,904:
Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 99.612
Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 99.612


{{Optimal ET sequence|legend=1| 12f, 253, 518c, 771cc }}
{{Optimal ET sequence|legend=0| 12f, 253, 518c, 771cc }}


Badness: 0.045992
Badness: 0.045992
Line 1,915: Line 1,917:
Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 99.615
Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 99.615


{{Optimal ET sequence|legend=1| 12f, 253, 265, 518ch }}
{{Optimal ET sequence|legend=0| 12f, 253, 265, 518ch }}


Badness: 0.038155
Badness: 0.038155
Line 2,088: Line 2,090:
{{Mapping|legend=1| 1 2 -1 -1 | 0 -6 48 55 }}
{{Mapping|legend=1| 1 2 -1 -1 | 0 -6 48 55 }}


: mapping generators: ~2, ~21/20
: Mapping generators: ~2, ~21/20


{{Multival|legend=1| 6 -48 -55 -90 -104 7 }}
{{Multival|legend=1| 6 -48 -55 -90 -104 7 }}
Line 2,176: Line 2,178:
{{Mapping|legend=1| 1 1 7 0 | 0 5 -40 24 }}
{{Mapping|legend=1| 1 1 7 0 | 0 5 -40 24 }}


: mapping generators: ~2, ~243/224
: Mapping generators: ~2, ~243/224


{{Multival|legend=1| 5 -40 24 -75 24 168 }}
{{Multival|legend=1| 5 -40 24 -75 24 168 }}
Line 2,219: Line 2,221:
{{Mapping|legend=1| 1 0 15 12 | 0 5 -40 -29 }}
{{Mapping|legend=1| 1 0 15 12 | 0 5 -40 -29 }}


: mapping generators: ~2, ~56/45
: Mapping generators: ~2, ~56/45


{{Multival|legend=1| 5 -40 -29 -75 -60 45 }}
{{Multival|legend=1| 5 -40 -29 -75 -60 45 }}
Line 2,264: Line 2,266:
{{Mapping|legend=1| 4 0 60 119 | 0 1 -8 -17 }}
{{Mapping|legend=1| 4 0 60 119 | 0 1 -8 -17 }}


: mapping generators: ~25/21, ~3
: Mapping generators: ~25/21, ~3


{{Multival|legend=1| 4 -32 -68 -60 -119 -68 }}
{{Multival|legend=1| 4 -32 -68 -60 -119 -68 }}
Line 2,309: Line 2,311:
{{Mapping|legend=1| 7 0 105 -56 | 0 1 -8 7 }}
{{Mapping|legend=1| 7 0 105 -56 | 0 1 -8 7 }}


: mapping generators: ~8575/7776, ~3
: Mapping generators: ~8575/7776, ~3


{{Multival|legend=1| 7 -56 49 -105 58 271 }}
{{Multival|legend=1| 7 -56 49 -105 58 271 }}
Line 2,354: Line 2,356:
{{Mapping|legend=1| 8 0 120 -117 | 0 1 -8 11 }}
{{Mapping|legend=1| 8 0 120 -117 | 0 1 -8 11 }}


: mapping generators: ~42875/39366, ~3
: Mapping generators: ~42875/39366, ~3


{{Multival|legend=1| 8 -64 88 -120 117 384 }}
{{Multival|legend=1| 8 -64 88 -120 117 384 }}
Line 2,399: Line 2,401:
{{Mapping|legend=1| 9 0 135 11 | 0 1 -8 1 }}
{{Mapping|legend=1| 9 0 135 11 | 0 1 -8 1 }}


: mapping generators: ~2592/2401, ~3
: Mapping generators: ~2592/2401, ~3


[[Optimal tuning]] ([[CTE]]): ~2592/2401 = 1\9, ~3/2 = 701.7232
[[Optimal tuning]] ([[CTE]]): ~2592/2401 = 1\9, ~3/2 = 701.7232
Line 2,442: Line 2,444:
{{Mapping|legend=1| 1 1 7 6 | 0 13 -104 -71 }}
{{Mapping|legend=1| 1 1 7 6 | 0 13 -104 -71 }}


: mapping generators: ~2, ~1323/1280
: Mapping generators: ~2, ~1323/1280


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~1323/1280 = 53.9741
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~1323/1280 = 53.9741
Line 2,532: Line 2,534:
{{Mapping|legend=2| 1 0 15 14 | 0 2 -16 -13 }}
{{Mapping|legend=2| 1 0 15 14 | 0 2 -16 -13 }}


: mapping generators: ~2, ~26/15
: Mapping generators: ~2, ~26/15


{{Mapping|legend=3| 1 0 15 0 0 14 | 0 2 -16 0 0 -13 }}
{{Mapping|legend=3| 1 0 15 0 0 14 | 0 2 -16 0 0 -13 }}
Line 2,553: Line 2,555:
{{Mapping|legend=2| 1 2 -1 5 | 0 -5 40 -11 }}
{{Mapping|legend=2| 1 2 -1 5 | 0 -5 40 -11 }}


: mapping generators: ~2, ~18/17
: Mapping generators: ~2, ~18/17


{{Mapping|legend=3| 1 2 -1 0 0 0 5 | 0 -5 40 0 0 0 -11 }}
{{Mapping|legend=3| 1 2 -1 0 0 0 5 | 0 -5 40 0 0 0 -11 }}
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