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=Mothra=
=Mothra=
[[Comma|Comma]]s: 81/80, 1029/1024
[[Comma]]s: 81/80, 1029/1024


Mothra, with wedgie <<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|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 <<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]].


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.


[[7-limit|7]] and [[9-limit|9-limit]] minimax 1/4 comma
[[7-odd-limit|7]] and [[9-odd-limit|9-limit]] minimax 1/4 comma


[|1 0 0 0>, |1 0 1/4 0>, |0 0 1 0>, |3 0 -1/12 0>]
[|1 0 0 0>, |1 0 1/4 0>, |0 0 1 0>, |3 0 -1/12 0>]


[[Eigenmonzo|Eigenmonzo]]s: 2, 5
[[Eigenmonzo]]s: 2, 5


[[POTE_tuning|POTE generator]]: ~8/7 = 232.193
[[POTE_tuning|POTE generator]]: ~8/7 = 232.193
Line 1,293: Line 1,293:
Map: [<1 1 0 3|, <0 3 12 -1|]
Map: [<1 1 0 3|, <0 3 12 -1|]


[[generator|Generator]]s: 2, 8/7
[[Generator]]s: 2, 8/7


[[wedgie|Wedgie]]: <<3 12 -1 12 -10 -36||
[[Wedgie]]: <<3 12 -1 12 -10 -36||


EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]]
EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]], [[57edo|57]], [[88edo|88]]


[[Badness|Badness]]: 0.0371
[[Badness]]: 0.0371


==11-limit==
==11-limit==
[[Comma|Comma]]s: 81/80, 99/98, 385/384
Commas: 81/80, 99/98, 385/384


POTE generator: ~8/7 = 232.031
POTE generator: ~8/7 = 232.031
Line 1,310: Line 1,310:
Map: [<1 1 0 3 5|, <0 3 12 -1 -8|]
Map: [<1 1 0 3 5|, <0 3 12 -1 -8|]


EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]], [[88edo|88]], [[150edo|150]], [[181edo|181]]
EDOs: [[5edo|5]], [[26edo|26]], [[31edo|31]], [[57edo|57]], [[88edo|88]], [[150edo|150be]], [[181edo|181bee]]


[[Badness|Badness]]: 0.0256
Badness: 0.0256


==13-limit==
==13-limit==
Line 1,336: Line 1,336:
Map: [<1 1 0 3 0|, <0 3 12 -1 18|]
Map: [<1 1 0 3 0|, <0 3 12 -1 18|]


EDOs: 26, 57e, 83bce
EDOs: 5e, 26, 31e, 57e, 83bce


Badness: 0.0557
Badness: 0.0557
Line 1,349: Line 1,349:
Map: [<1 1 0 3 0 1|, <0 3 12 -1 18 14|]
Map: [<1 1 0 3 0 1|, <0 3 12 -1 18 14|]


EDOs: 26, 57e, 83bce
EDOs: 5e, 26, 31e, 57e, 83bce


Badness: 0.0341
Badness: 0.0341


==Mosura==
==Mosura==
Commas: 81/80, 176/175, 1029/1024
Commas: 81/80, 176/175, 540/539


POTE generator: ~8/7 = 232.419
POTE generator: ~8/7 = 232.419
Line 1,362: Line 1,362:
Map: [<1 1 0 3 -1|, <0 3 12 -1 23|]
Map: [<1 1 0 3 -1|, <0 3 12 -1 23|]


EDOs: 31, 129, 136b, 148be, 160be, 191bce, 222bce, 253bce
EDOs: 31, 36, 67, 98, 129, 160be, 191bce, 222bce, 253bcee


Badness: 0.0313
Badness: 0.0313


===13-limit===
===13-limit===
Commas: 81/80, 144/143, 176/175, 1029/1024
Commas: 81/80, 144/143, 176/175, 196/195


POTE generator: ~8/7 = 232.640
POTE generator: ~8/7 = 232.640
Line 1,375: Line 1,375:
Map: [<1 1 0 3 -1 7|, <0 3 12 -1 23 -17|]
Map: [<1 1 0 3 -1 7|, <0 3 12 -1 23 -17|]


EDOs: 31, 67, 98
EDOs: 31, 36, 67, 98


Badness: 0.0369
Badness: 0.0369
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