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== Seven limit children ==
== Seven limit children ==
The [[7-limit]] children of 81/80 are septimal meantone, with normal comma list [{{Monzo| -4 4 -1 }}, {{Monzo| -13 10 0 -1 }}], flattone, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -17 9 0 1 }}], dominant, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| 6 -2 0 -1 }}], sharptone, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| 2 -3 0 1 }}], injera, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -7 8 0 -2 }}], mohajira, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -23 11 0 2 }}], godzilla, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -4 -1 0 2 }}], mothra, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -10 1 0 3 }}], squares, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -3 9 0 -4 }}], and liese, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -9 11 0 -3 }}].
The [[7-limit]] children of 81/80 are:
* Septimal meantone, with normal comma list [{{Monzo| -4 4 -1 }}, [[Harrison's comma|{{Monzo| -13 10 0 -1 }}]]],  
* Flattone, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -17 9 0 1 }}],  
* Dominant, with normal list [{{Monzo| -4 4 -1 }}, [[64/63|{{Monzo| 6 -2 0 -1 }}]]],  
* Sharptone, with normal list [{{Monzo| -4 4 -1 }}, [[28/27|{{Monzo| 2 -3 0 1 }}]]],  
* Injera, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -7 8 0 -2 }}],  
* Mohajira, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -23 11 0 2 }}],  
* Godzilla, with normal list [{{Monzo| -4 4 -1 }}, [[49/48|{{Monzo| -4 -1 0 2 }}]]],  
* Mothra, with normal list [{{Monzo| -4 4 -1 }}, [[1029/1024|{{Monzo| -10 1 0 3 }}]]],  
* Squares, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -3 9 0 -4 }}], and
* Liese, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -9 11 0 -3 }}].  


= Septimal meantone =
= Septimal meantone =
Line 245: Line 255:
Map: [<1 0 -4 -13 24 10|, <0 1 4 10 -13 -4|]
Map: [<1 0 -4 -13 24 10|, <0 1 4 10 -13 -4|]


EDOs: 12e, 19, 31f, 50ff
{{EDOs|legend=1| 12e, 19, 31f, 50ff }}


Badness: 0.0277
Badness: 0.0277
Line 258: Line 268:
Map: [<1 0 -4 -13 -6|, <0 1 4 10 6|]
Map: [<1 0 -4 -13 -6|, <0 1 4 10 6|]


EDOs: [[7edo|7d]], [[12edo|12]], [[19edo|19]], [[31edo|31e]], [[50edo|50ee]]
{{EDOs|legend=1| 7d, 12, 19, 31e, 50ee }}


Badness: 0.0214
Badness: 0.0214
Line 271: Line 281:
Map: [<1 0 -4 -13 -6 -20|, <0 1 4 10 6 15|]
Map: [<1 0 -4 -13 -6 -20|, <0 1 4 10 6 15|]


EDOs: 12f, 19, 31e, 50ee
{{EDOs|legend=1| 12f, 19, 31e, 50ee }}


Badness: 0.0212
Badness: 0.0212
Line 284: Line 294:
Map: [<1 0 -4 -13 -6 10|, <0 1 4 10 6 -4|]
Map: [<1 0 -4 -13 -6 10|, <0 1 4 10 6 -4|]


EDOs: 7d, 12, 19, 26d
{{EDOs|legend=1| 7d, 12, 19, 26d }}


Badness: 0.0248
Badness: 0.0248
Line 295: Line 305:
Map: [<1 0 -4 -13 -6 10 12|, <0 1 4 10 6 -4 -5|]
Map: [<1 0 -4 -13 -6 10 12|, <0 1 4 10 6 -4 -5|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0255
Badness: 0.0255
Line 306: Line 316:
Map: [<1 0 -4 -13 -6 10 12 9|, <0 1 4 10 6 -4 -5 -3|]
Map: [<1 0 -4 -13 -6 10 12 9|, <0 1 4 10 6 -4 -5 -3|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0223
Badness: 0.0223
Line 317: Line 327:
Map: [<1 0 -4 -13 -6 10 12 9 14|, <0 1 4 10 6 -4 -5 -3 -6|]
Map: [<1 0 -4 -13 -6 10 12 9 14|, <0 1 4 10 6 -4 -5 -3 -6|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0201
Badness: 0.0201
Line 328: Line 338:
Map: [<1 0 -4 -13 -6 10 12 9 14 8|, <0 1 4 10 6 -4 -5 -3 -6 -2|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8|, <0 1 4 10 6 -4 -5 -3 -6 -2|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0182
Badness: 0.0182
Line 339: Line 349:
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0171
Badness: 0.0171
Line 350: Line 360:
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0161
Badness: 0.0161
Line 361: Line 371:
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0154
Badness: 0.0154
Line 372: Line 382:
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0139
Badness: 0.0139
Line 383: Line 393:
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1|]
Map: [<1 0 -4 -13 -6 10 12 9 14 8 16 -9 18 7 4|, <0 1 4 10 6 -4 -5 -3 -6 -2 -7 9 -8 -1 1|]


EDOs: 7d, 12, 19
{{EDOs|legend=1| 7d, 12, 19 }}


Badness: 0.0138
Badness: 0.0138
Line 396: Line 406:
Map: [<1 0 -4 -13 5|, <0 1 4 10 -1|]
Map: [<1 0 -4 -13 5|, <0 1 4 10 -1|]


EDOs: 5d, 7d, 12e, 19e
{{EDOs|legend=1| 5d, 7d, 12e, 19e }}


Badness: 0.0315
Badness: 0.0315
Line 409: Line 419:
Map: [<1 0 -4 -13 5 10|, <0 1 4 10 -1 -4|]
Map: [<1 0 -4 -13 5 10|, <0 1 4 10 -1 -4|]


EDOs: 7d, 12e, 19e
{{EDOs|legend=1| 7d, 12e, 19e }}


Badness: 0.0263
Badness: 0.0263
Line 422: Line 432:
Map: [<1 0 -4 -13 -6 -1|, <0 1 4 10 6 3|]
Map: [<1 0 -4 -13 -6 -1|, <0 1 4 10 6 3|]


EDOS: 7d, 12f, 19f, 31eff
{{EDOs|legend=1| 7d, 12f, 19f, 31eff }}


Badness: 0.0242
Badness: 0.0242
Line 455: Line 465:
Mapping generator: ~3
Mapping generator: ~3


Algebraic generator: Squarto, the positive root of 8x^2-4x-9, at 506.3239 cents, equal to (1+sqrt(19))/4.
Algebraic generator: Squarto, the positive root of 8''x''<sup>2</sup> - 4''x'' - 9, at 506.3239 cents, equal to (1 + sqrt (19))/4.


Map: [&lt;1 0 -4 17|, &lt;0 1 4 -9|]
Map: [&lt;1 0 -4 17|, &lt;0 1 4 -9|]
Line 463: Line 473:
[[Generator]]s: 2, 3
[[Generator]]s: 2, 3


EDOs: [[7edo|7]], [[19edo|19]], [[26edo|26]], [[45edo|45]]
{{EDOs|legend=1| 7, 19, 26, 45 }}


[[Badness]]: 0.0386
[[Badness]]: 0.0386
Line 482: Line 492:
Map: [&lt;1 0 -4 17 -6|, &lt;0 1 4 -9 6|]
Map: [&lt;1 0 -4 17 -6|, &lt;0 1 4 -9 6|]


EDOs: 7, 19, 26, 45, 71bc, 116bcde
{{EDOs|legend=1| 7, 19, 26, 45, 71bc, 116bcde }}


Badness: 0.0338
Badness: 0.0338
Line 501: Line 511:
Map: [&lt;1 0 -4 17 -6 10|, &lt;0 1 4 -9 6 -4|]
Map: [&lt;1 0 -4 17 -6 10|, &lt;0 1 4 -9 6 -4|]


EDOs: 7, 19, 26, 45f, 71bcf, 116bcdef
{{EDOs|legend=1| 7, 19, 26, 45f, 71bcf, 116bcdef }}


Badness: 0.0223
Badness: 0.0223
Line 524: Line 534:
[[Wedgie]]: &lt;&lt;1 4 -2 4 -6 -16||
[[Wedgie]]: &lt;&lt;1 4 -2 4 -6 -16||


EDOs: [[5edo|5]], [[7edo|7]], [[12edo|12]], [[17edo|17c]], [[29edo|29cd]]
{{EDOs|legend=1| 5, 7, 12, 17c, 29cd }}


[[Badness]]: 0.0207
[[Badness]]: 0.0207
Line 543: Line 553:
Map: [&lt;1 0 -4 6 13|, &lt;0 1 4 -2 -6|]
Map: [&lt;1 0 -4 6 13|, &lt;0 1 4 -2 -6|]


EDOs: 5, 12, 17c, 29cde
{{EDOs|legend=1| 5, 12, 17c, 29cde }}


Badness: 0.0242
Badness: 0.0242
Line 560: Line 570:
Map: [&lt;1 0 -4 6 13 18|, &lt;0 1 4 -2 -6 -9|]
Map: [&lt;1 0 -4 6 13 18|, &lt;0 1 4 -2 -6 -9|]


EDOs: 12f, 17c, 29cdef
{{EDOs|legend=1| 12f, 17c, 29cdef }}


Badness: 0.0241
Badness: 0.0241
Line 571: Line 581:
Map: [&lt;1 0 -4 6 13 -9|, &lt;0 1 4 -2 -6 8|]
Map: [&lt;1 0 -4 6 13 -9|, &lt;0 1 4 -2 -6 8|]


EDOs: 5, 12, 17c, 46cde
{{EDOs|legend=1| 5, 12, 17c, 46cde }}


Badness: 0.0273
Badness: 0.0273
Line 584: Line 594:
Map: [&lt;1 0 -4 6 -6|, &lt;0 1 4 -2 6|]
Map: [&lt;1 0 -4 6 -6|, &lt;0 1 4 -2 6|]


EDOs: 5e, 7, 12, 19d, 43de
{{EDOs|legend=1| 5e, 7, 12, 19d, 43de }}


Badness: 0.0220
Badness: 0.0220
Line 597: Line 607:
Map: [&lt;1 0 -4 6 -6 10|, &lt;0 1 4 -2 6 -4|]
Map: [&lt;1 0 -4 6 -6 10|, &lt;0 1 4 -2 6 -4|]


EDOs: 5ef, 7, 12, 19d, 31def
{{EDOs|legend=1| 5ef, 7, 12, 19d, 31def }}


Badness: 0.0270
Badness: 0.0270
Line 610: Line 620:
Map: [&lt;1 0 -4 6 -6 10 12|, &lt;0 1 4 -2 6 -4 -5|]
Map: [&lt;1 0 -4 6 -6 10 12|, &lt;0 1 4 -2 6 -4 -5|]


EDOs: 5ef, 7, 12, 19d, 31def
{{EDOs|legend=1| 5ef, 7, 12, 19d, 31def }}


Badness: 0.0245
Badness: 0.0245
Line 623: Line 633:
Map: [&lt;1 0 -4 6 -6 10 12 9|, &lt;0 1 4 -2 6 -4 -5 -3|]
Map: [&lt;1 0 -4 6 -6 10 12 9|, &lt;0 1 4 -2 6 -4 -5 -3|]


EDOs: 5ef, 7, 12, 19d, 31def
{{EDOs|legend=1| 5ef, 7, 12, 19d, 31def }}


Badness: 0.0204
Badness: 0.0204
Line 636: Line 646:
Map: [&lt;1 0 -4 6 -6 -1|, &lt;0 1 4 -2 6 3|]
Map: [&lt;1 0 -4 6 -6 -1|, &lt;0 1 4 -2 6 3|]


EDOs: 5e, 7, 12f, 19df
{{EDOs|legend=1| 5e, 7, 12f, 19df }}


== Domination ==
== Domination ==
Line 647: Line 657:
Map: [&lt;1 0 -4 6 -14|, &lt;0 1 4 -2 11|]
Map: [&lt;1 0 -4 6 -14|, &lt;0 1 4 -2 11|]


EDOs: 5e, 12e, 17c, 46cd
{{EDOs|legend=1| 5e, 12e, 17c, 46cd }}


Badness: 0.0366
Badness: 0.0366
Line 660: Line 670:
Map: [&lt;1 0 -4 6 -14 -9|, &lt;0 1 4 -2 11 8|]
Map: [&lt;1 0 -4 6 -14 -9|, &lt;0 1 4 -2 11 8|]


EDOs: 5e, 12e, 17c
{{EDOs|legend=1| 5e, 12e, 17c }}


Badness: 0.0274
Badness: 0.0274
Line 673: Line 683:
Map: [&lt;1 0 -4 6 5|, &lt;0 1 4 -2 -1|]
Map: [&lt;1 0 -4 6 5|, &lt;0 1 4 -2 -1|]


EDOs: 5, 7, 12e
{{EDOs|legend=1| 5, 7, 12e }}


Badness: 0.0261
Badness: 0.0261
Line 684: Line 694:
Map: [&lt;1 0 -4 6 5 -1|, &lt;0 1 4 -2 -1 3|]
Map: [&lt;1 0 -4 6 5 -1|, &lt;0 1 4 -2 -1 3|]


EDOs: 5, 7, 12ef, 19def
{{EDOs|legend=1| 5, 7, 12ef, 19def }}


Badness: 0.0233
Badness: 0.0233
Line 695: Line 705:
Map: [&lt;1 0 -4 6 5 -1 12|, &lt;0 1 4 -2 -1 3 -5|]
Map: [&lt;1 0 -4 6 5 -1 12|, &lt;0 1 4 -2 -1 3 -5|]


EDOs: 5, 7, 12ef, 19def
{{EDOs|legend=1| 5, 7, 12ef, 19def }}


Badness: 0.0245
Badness: 0.0245
Line 706: Line 716:
Map: [&lt;1 0 -4 6 5 -1 12 9|, &lt;0 1 4 -2 -1 3 -5 -3|]
Map: [&lt;1 0 -4 6 5 -1 12 9|, &lt;0 1 4 -2 -1 3 -5 -3|]


EDOs: 5, 7, 12ef, 19def
{{EDOs|legend=1| 5, 7, 12ef, 19def }}


Badness: 0.0211
Badness: 0.0211
Line 723: Line 733:
[[Wedgie]]: &lt;&lt;1 4 3 4 2 -4||
[[Wedgie]]: &lt;&lt;1 4 3 4 2 -4||


EDOs: [[5edo|5]], [[7edo|7d]], [[12edo|12d]]
{{EDOs|legend=1| 5, 7d, 12d }}


[[Badness]]: 0.0248
[[Badness]]: 0.0248
Line 734: Line 744:
Map: [&lt;1 0 -4 -2 5|, &lt;0 1 4 3 -1|]
Map: [&lt;1 0 -4 -2 5|, &lt;0 1 4 3 -1|]


EDOs: 5, 7d, 12de
{{EDOs|legend=1| 5, 7d, 12de }}


Badness: 0.0252
Badness: 0.0252
Line 749: Line 759:
Wedgie: &lt;&lt;1 4 5 4 5 0||
Wedgie: &lt;&lt;1 4 5 4 5 0||


EDOs: 5d, 7, 12dd
{{EDOs|legend=1| 5d, 7, 12dd }}


Badness: 0.0453
Badness: 0.0453
Line 762: Line 772:
Map: [&lt;1 0 -4 -5 -6|, &lt;0 1 4 5 6|]
Map: [&lt;1 0 -4 -5 -6|, &lt;0 1 4 5 6|]


EDOs: 5de, 7, 12dd
{{EDOs|legend=1| 5de, 7, 12dd }}


Badness: 0.0325
Badness: 0.0325
Line 773: Line 783:
Map: [&lt;1 0 -4 -21|, &lt;0 1 4 15|]
Map: [&lt;1 0 -4 -21|, &lt;0 1 4 15|]


EDOs: 5d, 12d, 17c, 29c
{{EDOs|legend=1| 5d, 12d, 17c, 29c }}


Badness: 0.1342
Badness: 0.1342
Line 784: Line 794:
Map: [&lt;1 0 -4 -21 -14|, &lt;0 1 4 15 11|]
Map: [&lt;1 0 -4 -21 -14|, &lt;0 1 4 15 11|]


EDOs: 5de, 12de, 17c, 29c
{{EDOs|legend=1| 5de, 12de, 17c, 29c }}


Badness: 0.0633
Badness: 0.0633
Line 795: Line 805:
Map: [&lt;1 0 -4 -21 -14 -9|, &lt;0 1 4 15 11 8|]
Map: [&lt;1 0 -4 -21 -14 -9|, &lt;0 1 4 15 11 8|]


EDOs: 5de, 12de, 17c, 29c
{{EDOs|legend=1| 5de, 12de, 17c, 29c }}


= Injera =
= Injera =
Line 818: Line 828:
[[Wedgie]]: &lt;&lt;2 8 8 8 7 -4||
[[Wedgie]]: &lt;&lt;2 8 8 8 7 -4||


EDOs: [[12edo|12]], [[26edo|26]], [[38edo|38]], [[102edo|102bcd]], [[140edo|140bccd]], [[178edo|178bbccdd]]
{{EDOs|legend=1| 12, 26, 38, 102bcd, 140bccd, 178bbccdd }}


[[Badness]]: 0.0311
[[Badness]]: 0.0311
Line 840: Line 850:
Map: [&lt;2 0 -8 -7 -12|, &lt;0 1 4 4 6|]
Map: [&lt;2 0 -8 -7 -12|, &lt;0 1 4 4 6|]


EDOs: 12, 14c, 26, 90bce, 116bcce
{{EDOs|legend=1| 12, 14c, 26, 90bce, 116bcce }}


Badness: 0.0231
Badness: 0.0231
Line 859: Line 869:
Map: [&lt;2 0 -8 -7 -12 -21|, &lt;0 1 4 4 6 9|]
Map: [&lt;2 0 -8 -7 -12 -21|, &lt;0 1 4 4 6 9|]


EDOs: 12f, 14cf, 26, 38e
{{EDOs|legend=1| 12f, 14cf, 26, 38e }}


Badness: 0.0216
Badness: 0.0216
Line 872: Line 882:
Map: [&lt;2 0 -8 -7 -12 -2|, &lt;0 1 4 4 6 3|]
Map: [&lt;2 0 -8 -7 -12 -2|, &lt;0 1 4 4 6 3|]


EDOs: 12f, 14c, 26f, 38eff
{{EDOs|legend=1| 12f, 14c, 26f, 38eff }}


Badness: 0.0265
Badness: 0.0265
Line 885: Line 895:
Map: [&lt;2 0 -8 -7 10|, &lt;0 1 4 4 -1|]
Map: [&lt;2 0 -8 -7 10|, &lt;0 1 4 4 -1|]


EDOs: 12e, 14c, 26e, 40cee
{{EDOs|legend=1| 12e, 14c, 26e, 40cee }}


Badness: 0.0386
Badness: 0.0386
Line 898: Line 908:
Map: [&lt;2 0 -8 -7 7|, &lt;0 1 4 4 0|]
Map: [&lt;2 0 -8 -7 7|, &lt;0 1 4 4 0|]


EDOs: 2cd, 12, 14ce
{{EDOs|legend=1| 2cd, 12, 14ce }}


Badness: 0.0431
Badness: 0.0431
Line 923: Line 933:
Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]
Map: [&lt;1 0 -4 2|, &lt;0 2 8 1|]


[[wedgie|Wedgie]]: &lt;&lt;2 8 1 8 -4 -20||
[[Wedgie]]: &lt;&lt;2 8 1 8 -4 -20||


EDOs: {{EDOs|5, 9c, 14c, 19, 62d, 81d, 143bd}}
{{EDOs|legend=1| 5, 9c, 14c, 19, 62d, 81d, 143bd }}


[[Badness]]: 0.0267
[[Badness]]: 0.0267
Line 944: Line 954:
Map: [&lt;1 0 -4 2 -6|, &lt;0 2 8 1 12|]
Map: [&lt;1 0 -4 2 -6|, &lt;0 2 8 1 12|]


EDOs: 14c, 19, 33cd, 52cd
{{EDOs|legend=1| 14c, 19, 33cd, 52cd }}


Badness: 0.0290
Badness: 0.0290
Line 963: Line 973:
Map: [&lt;1 0 -4 2 -6 -5|, &lt;0 2 8 1 12 11|]
Map: [&lt;1 0 -4 2 -6 -5|, &lt;0 2 8 1 12 11|]


EDOs: 14cf, 19, 33cdf, 52cdf
{{EDOs|legend=1| 14cf, 19, 33cdf, 52cdf }}


Badness: 0.0225
Badness: 0.0225
Line 976: Line 986:
Map: [&lt;1 0 -4 2 5|, &lt;0 2 8 1 -2|]
Map: [&lt;1 0 -4 2 5|, &lt;0 2 8 1 -2|]


EDOs: 5, 14c, 19e, 33cde
{{EDOs|legend=1| 5, 14c, 19e, 33cde }}


Badness: 0.0285
Badness: 0.0285
Line 989: Line 999:
Map: [&lt;1 0 -4 2 -10|, &lt;0 2 8 1 17|]
Map: [&lt;1 0 -4 2 -10|, &lt;0 2 8 1 17|]


EDOs: 19e, 24, 43de
{{EDOs|legend=1| 19e, 24, 43de }}


Badness: 0.0396
Badness: 0.0396
Line 1,002: Line 1,012:
Map: [&lt;1 0 -4 2 -10 -5|, &lt;0 2 8 1 17 11|]
Map: [&lt;1 0 -4 2 -10 -5|, &lt;0 2 8 1 17 11|]


EDOs: 19e, 24, 43de
{{EDOs|legend=1| 19e, 24, 43de }}


Badness: 0.0257
Badness: 0.0257
Line 1,015: Line 1,025:
Map: [&lt;1 0 -4 2 9|, &lt;0 2 8 1 -7|]
Map: [&lt;1 0 -4 2 9|, &lt;0 2 8 1 -7|]


EDOs: 19, 24, 43d
{{EDOs|legend=1| 19, 24, 43d }}


Badness: 0.0357
Badness: 0.0357


== Music ==
== Music ==
[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/GodzillaExample.mp3 Godzilla Example] by [[Cameron_Bobro|Cameron Bobro]]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Bobro/GodzillaExample.mp3 Godzilla Example] by [[Cameron Bobro]]
 
* [http://tinyurl.com/4uyumk9 "Change is on the Wind"] in Godzilla[9] by [[Igliashon Jones]]
[http://tinyurl.com/4uyumk9 "Change is on the Wind"] in Godzilla[9] by [[Igliashon_Jones|Igliashon Jones]]


= Mohajira =
= Mohajira =
Line 1,044: Line 1,053:
Mapping generator: ~128/105
Mapping generator: ~128/105


Algebraic generator: Mohabis, real root of 3x^3-3x^2-1, 348.6067 cents. Corresponding recurrence converges quickly.
Algebraic generator: Mohabis, real root of 3''x''<sup>3</sup> - 3''x''<sup>2</sup> - 1, 348.6067 cents. Corresponding recurrence converges quickly.


Map: [&lt;1 1 0 6|, &lt;0 2 8 -11|]
Map: [&lt;1 1 0 6|, &lt;0 2 8 -11|]
Line 1,052: Line 1,061:
[[Wedgie]]: &lt;&lt;2 8 -11 8 -23 -48||
[[Wedgie]]: &lt;&lt;2 8 -11 8 -23 -48||


EDOs: [[7edo|7]], [[24edo|24]], [[31edo|31]], [[38edo|38]], [[55edo|55]], [[69edo|69]]
{{EDOs|legend=1| 7, 24, 31, 38, 55, 69 }}


[[Badness]]: 0.0557
[[Badness]]: 0.0557
Line 1,074: Line 1,083:
Generators: 2, 11/9
Generators: 2, 11/9


EDOs: 7, 24, 31, 38, 55
{{EDOs|legend=1| 7, 24, 31, 38, 55 }}


Badness: 0.0261
Badness: 0.0261
Line 1,087: Line 1,096:
Map: [&lt;1 1 0 6 2 4|, &lt;0 2 8 -11 5 -1|]
Map: [&lt;1 1 0 6 2 4|, &lt;0 2 8 -11 5 -1|]


EDOs: 7, 24, 31, 38, 55
{{EDOs|legend=1| 7, 24, 31, 38, 55 }}


Badness: 0.0234
Badness: 0.0234
Line 1,100: Line 1,109:
Map: [&lt;1 1 0 6 2 4 7|, &lt;0 2 8 -11 5 -1 -10|]
Map: [&lt;1 1 0 6 2 4 7|, &lt;0 2 8 -11 5 -1 -10|]


EDOs: 7, 24, 31, 38g, 55
{{EDOs|legend=1| 7, 24, 31, 38g, 55 }}


Badness: 0.0206
Badness: 0.0206
Line 1,113: Line 1,122:
Map: [&lt;1 1 0 6 2 4 7 6|, &lt;0 2 8 -11 5 -1 -10 -6|]
Map: [&lt;1 1 0 6 2 4 7 6|, &lt;0 2 8 -11 5 -1 -10 -6|]


EDOs: 7, 24, 31, 38gh, 55
{{EDOs|legend=1| 7, 24, 31, 38gh, 55 }}


Badness: 0.0173
Badness: 0.0173
Line 1,124: Line 1,133:
Map: [&lt;1 1 0 8 2|, &lt;0 2 8 -18 5|]
Map: [&lt;1 1 0 8 2|, &lt;0 2 8 -18 5|]


EDOs: 7, 31dd, 38d, 45e, 83bcddee
{{EDOs|legend=1| 7, 31dd, 38d, 45e, 83bcddee }}


Badness: 0.0588
Badness: 0.0588
Line 1,135: Line 1,144:
Map: [&lt;1 1 0 8 2 6|, &lt;0 2 8 -18 5 -8|]
Map: [&lt;1 1 0 8 2 6|, &lt;0 2 8 -18 5 -8|]


EDOs: 7, 31ddf, 38df, 45ef, 83bcddeeff
{{EDOs|legend=1| 7, 31ddf, 38df, 45ef, 83bcddeeff }}


Badness: 0.0343
Badness: 0.0343
Line 1,142: Line 1,151:
<span style="display: block; text-align: right;">[[:de:maqamisch|Deutsch]]</span>
<span style="display: block; text-align: right;">[[:de:maqamisch|Deutsch]]</span>


Main article: [[maqamic|Maqamic]]
{{main| Maqamic }}


[[Comma]]s: 81/80, 36/35, 121/120
[[Comma]]s: 81/80, 36/35, 121/120
Line 1,156: Line 1,165:
[[generator|Generator]]s: 2, 11/9
[[generator|Generator]]s: 2, 11/9


EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]], [[31edo|31d]]
{{EDOs|legend=1| 7, 10c, 17c, 24d, 31d }}


== 13-limit ==
== 13-limit ==
Line 1,169: Line 1,178:
Generators: 2, 11/9
Generators: 2, 11/9


EDOs: [[7edo|7]], [[10edo|10c]], [[17edo|17c]], [[24edo|24d]],[[31edo| 31d]]
{{EDOs|legend=1| 7, 10c, 17c, 24d, 31d }}


= Migration =
= Migration =
Line 1,180: Line 1,189:
Map: [&lt;1 1 0 -3 2|, &lt;0 2 8 20 5|]
Map: [&lt;1 1 0 -3 2|, &lt;0 2 8 20 5|]


EDOs: 7d, 31, 100de, 131bdee, 162bdee
{{EDOs|legend=1| 7d, 31, 100de, 131bdee, 162bdee }}


Badness: 0.0255
Badness: 0.0255
Line 1,191: Line 1,200:
Map: [&lt;1 1 0 -3 2 4|, &lt;0 2 8 20 5 -1|]
Map: [&lt;1 1 0 -3 2 4|, &lt;0 2 8 20 5 -1|]


EDOs: 7d, 24d, 31, 55d
{{EDOs|legend=1| 7d, 24d, 31, 55d }}


Badness: 0.0281
Badness: 0.0281
Line 1,204: Line 1,213:
Map: [&lt;1 1 0 -1|, &lt;0 2 8 13|]
Map: [&lt;1 1 0 -1|, &lt;0 2 8 13|]


EDOs: 17c, 24, 65c, 89cd
{{EDOs|legend=1| 17c, 24, 65c, 89cd }}


Badness: 0.0777
Badness: 0.0777
Line 1,217: Line 1,226:
Map: [&lt;1 1 0 -1 2|, &lt;0 2 8 13 5|]
Map: [&lt;1 1 0 -1 2|, &lt;0 2 8 13 5|]


EDOs: 17c, 24, 65c, 89cd
{{EDOs|legend=1| 17c, 24, 65c, 89cd }}


Badness: 0.0362
Badness: 0.0362
Line 1,230: Line 1,239:
Map: [&lt;1 1 0 -1 2 4|, &lt;0 2 8 13 5 -1|]
Map: [&lt;1 1 0 -1 2 4|, &lt;0 2 8 13 5 -1|]


EDOs: 17c, 24, 41c, 65c
{{EDOs|legend=1| 17c, 24, 41c, 65c }}


Badness: 0.0287
Badness: 0.0287
Line 1,245: Line 1,254:
Wedgie: &lt;&lt;8 32 6 32 -13 -76||
Wedgie: &lt;&lt;8 32 6 32 -13 -76||


EDOs: 26, 74, 174bd, 248bd
{{EDOs|legend=1| 26, 74, 174bd, 248bd }}


Badness: 0.2588
Badness: 0.2588
Line 1,258: Line 1,267:
Map: [&lt;2 1 -4 4 8|, &lt;0 4 16 3 -2|]
Map: [&lt;2 1 -4 4 8|, &lt;0 4 16 3 -2|]


EDOs: 26, 48c, 74, 248bd, 322bd
{{EDOs|legend=1| 26, 48c, 74, 248bd, 322bd }}


Badness: 0.1015
Badness: 0.1015
Line 1,271: Line 1,280:
Map: [&lt;2 1 -4 4 8 2|, &lt;0 4 16 3 -2 10|]
Map: [&lt;2 1 -4 4 8 2|, &lt;0 4 16 3 -2 10|]


EDOs: 26, 48c, 74, 174bd, 248bd, 322bd
{{EDOs|legend=1| 26, 48c, 74, 174bd, 248bd, 322bd }}


Badness: 0.0535
Badness: 0.0535
Line 1,278: Line 1,287:
[[Comma]]s: 81/80, 1029/1024
[[Comma]]s: 81/80, 1029/1024


Mothra, with wedgie &lt;&lt;3 12 -1 12 -10 -36||, splits the fifth into three 8/7 generators. It uses 1029/1024, the gamelisma, to accomplish this deed and also tempers out 1728/1715, the orwell comma. Using [[31edo]] with a generator of 6/31 is an excellent tuning choice. Once again something other than a MOS should be used as a scale to get the most out of mothra. In the 2.3.7-limit, mothra is identical to [[Slendric|slendric]].
Mothra, with wedgie &lt;&lt;3 12 -1 12 -10 -36||, splits the fifth into three 8/7 generators. It uses 1029/1024, the gamelisma, to accomplish this deed and also tempers out 1728/1715, the orwell comma. Using [[31edo]] with a generator of 6/31 is an excellent tuning choice. Once again something other than a MOS should be used as a scale to get the most out of mothra. In the 2.3.7-limit, mothra is identical to [[slendric]].


Note that mothra can also be called cynder in the 7-limit, which can be a little confusing sometimes.
Note that mothra can also be called cynder in the 7-limit, which can be a little confusing sometimes.
Line 1,292: Line 1,301:
Mapping generator: ~8/7
Mapping generator: ~8/7


Algebraic generator: Rabrindanath, largest real root of x^8-3x^2+1, or 232.0774 cents.
Algebraic generator: Rabrindanath, largest real root of ''x''<sup>8</sup> - 3''x''<sup>2</sup> + 1, or 232.0774 cents.


Map: [&lt;1 1 0 3|, &lt;0 3 12 -1|]
Map: [&lt;1 1 0 3|, &lt;0 3 12 -1|]
Line 1,300: Line 1,309:
[[Wedgie]]: &lt;&lt;3 12 -1 12 -10 -36||
[[Wedgie]]: &lt;&lt;3 12 -1 12 -10 -36||


EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]], [[57edo|57]], [[88edo|88]]
{{EDOs|legend=1| 5, 26, 31, 57, 88 }}


[[Badness]]: 0.0371
[[Badness]]: 0.0371
Line 1,313: Line 1,322:
Map: [&lt;1 1 0 3 5|, &lt;0 3 12 -1 -8|]
Map: [&lt;1 1 0 3 5|, &lt;0 3 12 -1 -8|]


EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]], [[57edo|57]], [[88edo|88]], [[150edo|150be]], [[181edo|181bee]]
{{EDOs|legend=1| 5, 26, 31, 57, 88, 150be, 181bee }}


Badness: 0.0256
Badness: 0.0256
Line 1,326: Line 1,335:
Map: [&lt;1 1 0 3 5 1|, &lt;0 3 12 -1 -8 14|]
Map: [&lt;1 1 0 3 5 1|, &lt;0 3 12 -1 -8 14|]


EDOs: 5, 26, 31, 57, 88
{{EDOs|legend=1| 5, 26, 31, 57, 88 }}


Badness: 0.0240
Badness: 0.0240
Line 1,339: Line 1,348:
Map: [&lt;1 1 0 3 0|, &lt;0 3 12 -1 18|]
Map: [&lt;1 1 0 3 0|, &lt;0 3 12 -1 18|]


EDOs: 5e, 26, 31e, 57e, 83bce
{{EDOs|legend=1| 5e, 26, 31e, 57e, 83bce }}


Badness: 0.0557
Badness: 0.0557
Line 1,352: Line 1,361:
Map: [&lt;1 1 0 3 0 1|, &lt;0 3 12 -1 18 14|]
Map: [&lt;1 1 0 3 0 1|, &lt;0 3 12 -1 18 14|]


EDOs: 5e, 26, 31e, 57e, 83bce
{{EDOs|legend=1| 5e, 26, 31e, 57e, 83bce }}


Badness: 0.0341
Badness: 0.0341
Line 1,365: Line 1,374:
Map: [&lt;1 1 0 3 -1|, &lt;0 3 12 -1 23|]
Map: [&lt;1 1 0 3 -1|, &lt;0 3 12 -1 23|]


EDOs: 31, 36, 67, 98, 129, 160be, 191bce, 222bce, 253bcee
{{EDOs|legend=1| 31, 36, 67, 98, 129, 160be, 191bce, 222bce, 253bcee }}


Badness: 0.0313
Badness: 0.0313
Line 1,378: Line 1,387:
Map: [&lt;1 1 0 3 -1 7|, &lt;0 3 12 -1 23 -17|]
Map: [&lt;1 1 0 3 -1 7|, &lt;0 3 12 -1 23 -17|]


EDOs: 31, 36, 67, 98
{{EDOs|legend=1| 31, 36, 67, 98 }}


Badness: 0.0369
Badness: 0.0369
Line 1,397: Line 1,406:
Mapping generator: ~9/7
Mapping generator: ~9/7


Algebraic generator: Sceptre2, the positive root of 9x^2+x-16, or (sqrt(577)-1)/18, which is 425.9311 cents.
Algebraic generator: Sceptre2, the positive root of 9''x''<sup>2</sup> + ''x'' - 16, or (sqrt (577) - 1)/18, which is 425.9311 cents.


Map: [&lt;1 3 8 6|, &lt;0 -4 -16 -9|]
Map: [&lt;1 3 8 6|, &lt;0 -4 -16 -9|]
Line 1,403: Line 1,412:
[[Generator]]s: 2, 9/7
[[Generator]]s: 2, 9/7


EDOs: [[14edo|14c]], [[17edo|17c]], [[31edo|31]], [[45edo|45]], [[76edo|76]]
{{EDOs|legend=1| 14c, 17c, 31, 45, 76 }}


[[Badness]]: 0.0460
[[Badness]]: 0.0460
Line 1,409: Line 1,418:
Music:
Music:


By [[Chris_Vaisvil|Chris Vaisvil]]
By [[Chris Vaisvil]]


[http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3 Square 8]
* [http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3 Square 8]


== 11-limit ==
== 11-limit ==
Line 1,422: Line 1,431:
Map: [&lt;1 3 8 6 7|, &lt;0 -4 -16 -9 -10|]
Map: [&lt;1 3 8 6 7|, &lt;0 -4 -16 -9 -10|]


EDOs: [[14edo|14c]], [[17edo|17c]], [[31edo|31]], [[45edo|45e]], [[76edo|76e]]
{{EDOs|legend=1| 14c, 17c, 31, 45e, 76e }}


Badness: 0.0216
Badness: 0.0216
Line 1,435: Line 1,444:
Map: [&lt;1 3 8 6 7 3|, &lt;0 -4 -16 -9 -10 2|]
Map: [&lt;1 3 8 6 7 3|, &lt;0 -4 -16 -9 -10 2|]


EDOs: 14c, 17c, 31, 45e, 79cf
{{EDOs|legend=1| 14c, 17c, 31, 45e, 79cf }}


Badness: 0.0255
Badness: 0.0255
Line 1,448: Line 1,457:
Map: [&lt;1 3 8 6 7 14|, &lt;0 -4 -16 -9 -10 -29|]
Map: [&lt;1 3 8 6 7 14|, &lt;0 -4 -16 -9 -10 -29|]


EDOs: 14cf, 31, 45ef, 76e
{{EDOs|legend=1| 14cf, 31, 45ef, 76e }}


Badness: 0.0245
Badness: 0.0245
Line 1,461: Line 1,470:
Map: [&lt;1 3 8 6 7 14 8|, &lt;0 -4 -16 -9 -10 -29 -11|]
Map: [&lt;1 3 8 6 7 14 8|, &lt;0 -4 -16 -9 -10 -29 -11|]


EDOs: 14cf, 31, 45ef, 76e
{{EDOs|legend=1| 14cf, 31, 45ef, 76e }}


==== 19-limit ====
==== 19-limit ====
Line 1,472: Line 1,481:
Map: [&lt;1 3 8 6 7 14 8 11|, &lt;0 -4 -16 -9 -10 -29 -11 -19|]
Map: [&lt;1 3 8 6 7 14 8 11|, &lt;0 -4 -16 -9 -10 -29 -11 -19|]


EDOs: 14cf, 31, 45ef, 76e
{{EDOs|legend=1| 14cf, 31, 45ef, 76e }}


== Cuboctahedra ==
== Cuboctahedra ==
Line 1,483: Line 1,492:
Map: [&lt;1 3 8 6 -4|, &lt;0 -4 -16 -9 21|]
Map: [&lt;1 3 8 6 -4|, &lt;0 -4 -16 -9 21|]


EDOs: [[14edo|14ce]], [[17edo|17ce]], [[31edo|31]], [[45edo|45]], [[76edo|76]], [[107edo|107b]]
{{EDOs|legend=1| 14ce, 17ce, 31, 45, 76, 107b }}


[[Badness]]: 0.0568
[[Badness]]: 0.0568
Line 1,504: Line 1,513:
Mapping generator: ~10/7
Mapping generator: ~10/7


Algebraic generator: Radix, the real root of x^5-2x^4+2x^3-2x^2+2x-2, also a root of x^6-x^5-2. The recurrence converges.
Algebraic generator: Radix, the real root of ''x''<sup>5</sup> - 2''x''<sup>4</sup> + 2''x''<sup>3</sup> - 2''x''<sup>2</sup> + 2''x'' - 2, also a root of ''x''<sup>6</sup> - ''x''<sup>5</sup> - 2. The recurrence converges.


Map: [&lt;1 0 -4 -3|, &lt;0 3 12 11|]
Map: [&lt;1 0 -4 -3|, &lt;0 3 12 11|]
Line 1,510: Line 1,519:
[[Generator]]s: 2, 10/7
[[Generator]]s: 2, 10/7


EDOs: [[17edo|17c]], [[19edo|19]], [[36edo|36]], [[55edo|55]], [[74edo|74d]]
{{EDOs|legend=1| 17c, 19, 36, 55, 74d }}


[[Badness]]: 0.0467
[[Badness]]: 0.0467
Line 1,523: Line 1,532:
Map: [&lt;1 0 -4 -3 4|, &lt;0 3 12 11 -1|]
Map: [&lt;1 0 -4 -3 4|, &lt;0 3 12 11 -1|]


EDOs: 17c, 19, 36, 55e, 91cee
{{EDOs|legend=1| 17c, 19, 36, 55e, 91cee }}


Badness: 0.0407
Badness: 0.0407
Line 1,538: Line 1,547:
Map: [&lt;1 0 -4 -3 4 0|, &lt;0 3 12 11 -1 7|]
Map: [&lt;1 0 -4 -3 4 0|, &lt;0 3 12 11 -1 7|]


EDOs: 17c, 19, 36, 55ef, 91ceef
{{EDOs|legend=1| 17c, 19, 36, 55ef, 91ceef }}


Badness: 0.0273
Badness: 0.0273
Line 1,551: Line 1,560:
Map: [&lt;1 0 -4 -3 -5|, &lt;0 3 12 11 16|]
Map: [&lt;1 0 -4 -3 -5|, &lt;0 3 12 11 16|]


EDOs: 17c, 19e, 36e
{{EDOs|legend=1| 17c, 19e, 36e }}


Badness: 0.0416
Badness: 0.0416
Line 1,564: Line 1,573:
Map: [&lt;1 0 -4 -3 -6|, &lt;0 3 12 11 18|]
Map: [&lt;1 0 -4 -3 -6|, &lt;0 3 12 11 18|]


EDOs: 19
{{EDOs|legend=1| 19 }}


Badness: 0.0548
Badness: 0.0548
Line 1,575: Line 1,584:
Map: [&lt;1 0 -4 -3 -6 0|, &lt;0 3 12 11 18 7|]
Map: [&lt;1 0 -4 -3 -6 0|, &lt;0 3 12 11 18 7|]


EDOs: 19
{{EDOs|legend=1| 19 }}


Badness: 0.0361
Badness: 0.0361


= Jerome =
= Jerome =
Jerome is related to [[20ed5|Hieronymus' tuning]]; the Hieronymus generator is 5^(1/20), or 139.316 cents. While the generator represents both 13/12 and 12/11, the POTE and Hieronymus generators are close to 13/12 in size.
Jerome is related to [[20ed5|Hieronymus' tuning]]; the Hieronymus generator is 5<sup>1/20</sup>, or 139.316 cents. While the generator represents both 13/12 and 12/11, the POTE and Hieronymus generators are close to 13/12 in size.


Commas: 81/80, 17280/16807
Commas: 81/80, 17280/16807
Line 1,592: Line 1,601:
Wedgie: &lt;&lt;5 30 7 20 -3 -40||
Wedgie: &lt;&lt;5 30 7 20 -3 -40||


EDOs: 9c, 17c, 26, 43, 69, 112bd
{{EDOs|legend=1| 9c, 17c, 26, 43, 69, 112bd }}


Badness: 0.1087
Badness: 0.1087
Line 1,605: Line 1,614:
Map: [&lt;1 1 0 2 3|, &lt;0 5 20 7 4|]
Map: [&lt;1 1 0 2 3|, &lt;0 5 20 7 4|]


EDOs: 9c, 17c, 26, 43, 69
{{EDOs|legend=1| 9c, 17c, 26, 43, 69 }}


Badness: 0.0479
Badness: 0.0479
Line 1,618: Line 1,627:
Map: [&lt;1 1 0 2 3 3|, &lt;0 5 20 7 4 6|]
Map: [&lt;1 1 0 2 3 3|, &lt;0 5 20 7 4 6|]


EDOs: 9c, 17c, 26, 43, 69
{{EDOs|legend=1| 9c, 17c, 26, 43, 69 }}


Badness: 0.0293
Badness: 0.0293
Line 1,631: Line 1,640:
Map: [&lt;1 1 0 2 3 3 2|, &lt;0 5 20 7 4 6 18|]
Map: [&lt;1 1 0 2 3 3 2|, &lt;0 5 20 7 4 6 18|]


EDOs: 26, 43, 69
{{EDOs|legend=1| 26, 43, 69 }}


Badness: 0.0209
Badness: 0.0209
Line 1,644: Line 1,653:
Map: [&lt;1 1 0 2 3 3 2 1|, &lt;0 5 20 7 4 6 18 28|]
Map: [&lt;1 1 0 2 3 3 2 1|, &lt;0 5 20 7 4 6 18 28|]


EDOs: 26, 43, 69
{{EDOs|legend=1| 26, 43, 69 }}


Badness: 0.0182
Badness: 0.0182
Line 1,659: Line 1,668:
Wedgie: &lt;&lt;0 0 19 0 30 44||
Wedgie: &lt;&lt;0 0 19 0 30 44||


EDOs: 19, 38, 57, 76, 95bc
{{EDOs|legend=1| 19, 38, 57, 76, 95bc }}


Badness: 0.0770
Badness: 0.0770
Line 1,672: Line 1,681:
Map: [&lt;19 30 44 53 0|, &lt;0 0 0 0 1|]
Map: [&lt;19 30 44 53 0|, &lt;0 0 0 0 1|]


EDOs: 19, 38d
{{EDOs|legend=1| 19, 38d }}


Badness: 0.0364
Badness: 0.0364
Line 1,683: Line 1,692:
Map: [&lt;19 30 44 53 0 70|, &lt;0 0 0 0 1 0|]
Map: [&lt;19 30 44 53 0 70|, &lt;0 0 0 0 1 0|]


EDOs: 19, 38d
{{EDOs|legend=1| 19, 38d }}


Badness: 0.0229
Badness: 0.0229
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