Schismatic family: Difference between revisions

m Cleanup (3/5)
m Cleanup (4/5)
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[[Badness]]: 0.0704
[[Badness]]: 0.0704


=Bischismic=
= Bischismic =
Commas: 3136/3125, 32805/32768
[[Comma list]]: 3136/3125, 32805/32768


7-limit minimax
[[POTE generator]]: ~3/2 = 701.592


Eigenmonzos: 2, 7/6
[[Mapping]]: [{{val| 2 0 30 69 }}, {{val| 0 1 -8 -20 }}]


9-limit minimax
Mapping generators: ~567/400, ~3


Eigenmonzos: 2, 9/7
{{Multival|legend=1| 2 -16 -40 -30 -69 -48 }}


[[POTE_tuning|POTE generator]]: 701.592
[[Minimax tuning]]:  
* [[7-odd-limit]] eigenmonzos: 2, 7/6
* [[9-odd-limit]] eigenmonzos: 2, 9/7


Mapping generator: ~3
{{Val list|legend=1| 118, 130, 248, 378, 508 }}


Map: [<2 0 30 69|, <0 1 -8 -20|]
[[Badness]]: 0.0547


Wedgie: <<2 -16 -40 -30 -69 -48||
== 11-limit ==
 
Comma list: 441/440, 3136/3125, 8019/8000
[[EDO|Edos]]: [[118edo|118]], [[130edo|130]], [[248edo|248]], [[378edo|378]], [[508edo|508]]
 
Badness: 0.0547
 
==11-limit==
Commas: 441/440, 3136/3125, 8019/8000


POTE generator: ~3/2 = 701.612
POTE generator: ~3/2 = 701.612


Mapping generator: ~3
Mapping: [{{val| 2 0 30 69 102 }}, {{val| 0 1 -8 -20 -30 }}]


Map: [<2 0 30 69 102|, <0 1 -8 -20 -30|]
Mapping generators: ~99/70, ~3


EDOs: 12, 118, 130, 248
{{Val list|legend=1| 12, 118, 130, 248 }}


Badness: 0.0282
Badness: 0.0282


==13-limit==
== 13-limit ==
Commas: 441/440, 729/728, 1001/1000, 3136/3125
Comma list: 441/440, 729/728, 1001/1000, 3136/3125


POTE generator: ~3/2 = 701.590
POTE generator: ~3/2 = 701.590


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


Map: [<2 0 30 69 102 -75|, <0 1 -8 -20 -30 26|]
Mapping: [{{val| 2 0 30 69 102 -75 }}, {{val| 0 1 -8 -20 -30 26 }}]


EDOs: 12, 118, 130, 248, 378
{{Val list|legend=1| 12, 118, 130, 248, 378 }}


Badness: 0.0287
Badness: 0.0287


=Kleischismic=
= Kleischismic =
Commas: 32805/32768, 1500625/1492992
[[Comma list]]: 32805/32768, 1500625/1492992


POTE generator: ~36/35 = 50.920
[[POTE generator]]: ~36/35 = 50.920


Mapping generator: ~35/24
[[Mapping]]: [{{val| 2 1 22 -15 }}, {{val| 0 2 -16 19 }}]


Map: [<2 1 22 -15|, <0 2 -16 19|]
Mapping generators: ~1225/864, ~35/24


Wedgie: <<4 -32 38 -60 49 178||
{{Multival|legend=1| 4 -32 38 -60 49 178 }}


EDOs: 24, 94, 118, 212, 330, 542d, 872cd
{{Val list|legend=1| 24, 94, 118, 212, 330, 542d, 872cd }}


Badness: 0.1106
[[Badness]]: 0.1106


==11-limit==
== 11-limit ==
Commas: 385/384, 9801/9800, 14641/14580
Comma list: 385/384, 9801/9800, 14641/14580


POTE generator: ~36/35 = 50.918
POTE generator: ~36/35 = 50.918


Mapping generator: ~16/11
Mapping: [{{val| 2 1 22 -15 8 }}, {{val| 0 2 -16 19 -1 }}]


Map: [<2 1 22 -15 8|, <0 2 -16 19 -1|]
Mapping generators: ~99/70, ~16/11


EDOs: 24, 94, 118, 212, 330e, 542de
{{Val list|legend=1| 24, 94, 118, 212, 330e, 542de }}


Badness: 0.0367
Badness: 0.0367


==13-limit==
== 13-limit ==
Commas: 352/351, 385/384, 729/728, 1575/1573
Comma list: 352/351, 385/384, 729/728, 1575/1573


POTE generator: ~36/35 = 50.938
POTE generator: ~36/35 = 50.938


Mapping generator: ~16/11
Mapping: [{{val| 2 1 22 -15 8 15 }}, {{val| 0 2 -16 19 -1 -7 }}]


Map: [<2 1 22 -15 8 15|, <0 2 -16 19 -1 -7|]
Mapping generators: ~99/70, ~16/11


EDOs: 24, 94, 118, 212f
{{Val list|legend=1| 24, 94, 118, 212f }}


Badness: 0.0376
Badness: 0.0376


=Term=
= Term =
Commas: 32805/32768, 250047/250000
[[Comma list]]: 32805/32768, 250047/250000
 
7-limit minimax
 
Eigenmonzos: 2, 6/5
 
9-limit minimax


Eigenmonzos: 2, 9/7
[[POTE generator]]: ~3/2 = 701.742


[[POTE_tuning|POTE generator]]: ~3/2 = 701.742
[[Mapping]]: [{{val| 3 0 45 94 }}, {{val| 0 1 -8 -18 }}]


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


Map: [<3 0 45 94|, <0 1 -8 -18|]
{{Multival|legend=1| 3 -24 -54 -45 -94 -58 }}


Wedgie: <<3 -24 -54 -45 -94 -58||
[[Minimax tuning]]:  
* [[7-odd-limit]] eigenmonzos: 2, 6/5
* [[9-odd-limit]] eigenmonzos: 2, 9/7


[[EDO|Edos]]: [[12edo|12]], [[171edo|171]], [[1038edo|1038]], [[1209edo|1209]], [[1380edo|1380]], [[1551edo|1551]], [[1722edo|1722]]
{{Val list|legend=1| 12, 171, 1038, 1209, 1380, 1551, 1722 }}


Badness: 0.0200
[[Badness]]: 0.0200


=Sesquiquartififths=
=Sesquiquartififths=