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Kleismic family: Difference between revisions

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Line 31: Line 31:


=Keemun=
=Keemun=
[[Comma|Commas]]: 49/48, 126/125
[[Comma]]s: 49/48, 126/125


valid range: [300.000, 327.273] (4 to 11b)
valid range: [300.000, 327.273] (4 to 11b)
Line 43: Line 43:
Map: [<1 0 1 2|, <0 6 5 3|]
Map: [<1 0 1 2|, <0 6 5 3|]


[[wedgie|Wedgie]]: <<6 5 3 -6 -12 -7||
[[Wedgie]]: <<6 5 3 -6 -12 -7||


EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53d]], [[72edo|72d]], [[91edo|91d]]
EDOs: [[15edo|15]], [[19edo|19]], [[53edo|53d]], [[72edo|72d]], [[91edo|91d]]
Line 50: Line 50:


==11-limit==
==11-limit==
[[Comma|Comma]]s: 49/48, 56/55, 100/99
[[Comma]]s: 49/48, 56/55, 100/99


valid range: [315.789, 320.000] (19 to 15)
valid range: [315.789, 320.000] (19 to 15)
Line 64: Line 64:
EDOs: [[4edo|4]], [[15edo|15]], [[19edo|19]], [[34edo|34]], [[102edo|102de]]
EDOs: [[4edo|4]], [[15edo|15]], [[19edo|19]], [[34edo|34]], [[102edo|102de]]


[[Badness|Badness]]: 0.0274
[[Badness]]: 0.0274


==13-limit==
==13-limit==
[[Comma|Comma]]s: 49/48, 56/55, 78/77, 100/99
[[Comma]]s: 49/48, 56/55, 78/77, 100/99


valid range: 315.789 (19)
valid range: 315.789 (19)
Line 79: Line 79:
Map: [<1 0 1 2 4 5|, <0 6 5 3 -2 -5|]
Map: [<1 0 1 2 4 5|, <0 6 5 3 -2 -5|]


EDOs: [[4edo|4]], [[15edo|15]], [[19edo|19]], [[53def|53def]], [[72edo|72def]]
EDOs: [[4edo|4]], [[15edo|15f]], [[19edo|19]], [[53edo|53def]], [[72edo|72def]]


[[Badness|Badness]]: 0.0297
[[Badness]]: 0.0297


===Kema===
===Kema===
Line 144: Line 144:
Badness: 0.0276
Badness: 0.0276


===13-limit Darjeeling===
===13-limit===
Commas: 49/48, 55/54, 66/65, 77/75
Commas: 49/48, 55/54, 66/65, 77/75


Line 192: Line 192:
Map: [<1 0 1 -3|, <0 6 5 22|]
Map: [<1 0 1 -3|, <0 6 5 22|]


[[wedgie|Wedgie]]: <<6 5 22 -6 18 37||
[[Wedgie]]: <<6 5 22 -6 18 37||


EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197]], [[269edo|269c]]
EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197]], [[269edo|269c]]


[[Badness|Badness]]: 0.0215
[[Badness]]: 0.0215


==11-limit==
==11-limit==
Line 213: Line 213:
EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197e]], [[269edo|269ce]], [[341edo|341ce]], [[610edo|610bce]]
EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[197edo|197e]], [[269edo|269ce]], [[341edo|341ce]], [[610edo|610bce]]


[[Badness|Badness]]: 0.0218
[[Badness]]: 0.0218


==13-limit==
==13-limit==
Line 230: Line 230:
EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[125edo|125f]], [[197edo|197ef]], [[269edo|269cef]]
EDOs: [[19edo|19]], [[53edo|53]], [[72edo|72]], [[125edo|125f]], [[197edo|197ef]], [[269edo|269cef]]


[[Badness|Badness]]: 0.0169
[[Badness]]: 0.0169


=Cataclysmic=
=Cataclysmic=
Line 305: Line 305:
Map: [<1 0 1 11|, <0 6 5 -31|]
Map: [<1 0 1 11|, <0 6 5 -31|]


[[wedgie|Wedgie]]: <<6 5 -31 -6 -66 -86||
[[Wedgie]]: <<6 5 -31 -6 -66 -86||


EDOs: [[15edo|15]], [[19edo|19]], [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[333edo|333]], [[473edo|473]], [[806edo|806b]]
EDOs: [[19edo|19d]], [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[333edo|333]], [[473edo|473]], [[806edo|806b]]


[[Badness|Badness]]: 0.0521
[[Badness]]: 0.0521


==11-limit==
==11-limit==
[[Comma|Comma]]s: 385/384, 2200/2187, 3388/3375
[[Comma]]s: 385/384, 2200/2187, 3388/3375


POTE generator: ~6/5 = 317.162
POTE generator: ~6/5 = 317.162
Line 320: Line 320:
EDOs: [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[227edo|227]]
EDOs: [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[227edo|227]]


[[Badness|Badness]]: 0.0398
[[Badness]]: 0.0398


==13-limit==
==13-limit==
[[Comma|Comma]]s: 325/324, 352/351, 385/384, 625/624
[[Comma]]s: 325/324, 352/351, 385/384, 625/624


POTE generator: ~6/5 = 317.162
POTE generator: ~6/5 = 317.162
Line 331: Line 331:
EDOs: [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[227edo|227]], [[367edo|367e]], [[507edo|507e]]
EDOs: [[34edo|34]], [[53edo|53]], [[87edo|87]], [[140edo|140]], [[227edo|227]], [[367edo|367e]], [[507edo|507e]]


[[Badness|Badness]]: 0.0202
[[Badness]]: 0.0202


=Metakleismic=
=Metakleismic=
[[Comma|Comma]]s: 15625/15552, 179200/177147
[[Comma]]s: 15625/15552, 179200/177147


POTE generator: ~6/5 = 317.314
POTE generator: ~6/5 = 317.314
Line 342: Line 342:
Wedgie: <<6 5 56 -6 72 116||
Wedgie: <<6 5 56 -6 72 116||


EDOs: [[15edo|15]], [[19edo|19]], [[34edo|34]], [[87edo|87]], [[121edo|121]], [[208edo|208]]
EDOs: [[34edo|34d]], [[53edo|53d]], [[87edo|87]], [[121edo|121]], [[208edo|208]]


[[Badness|Badness]]: 0.1635
[[Badness]]: 0.1635


==11-limit==
==11-limit==
[[Comma|Comma]]s: 896/891, 2200/2187, 14700/14641
[[Comma]]s: 896/891, 2200/2187, 14700/14641


POTE generator: ~6/5 = 317.311
POTE generator: ~6/5 = 317.311
Line 353: Line 353:
Map: [<1 0 1 -12 -5|, <0 6 5 56 32|]
Map: [<1 0 1 -12 -5|, <0 6 5 56 32|]


EDOs: [[15edo|15]], [[19edo|19]], [[34edo|34]], [[87edo|87]], [[121edo|121]], [[208edo|208]]
EDOs: [[34edo|34d]], [[53edo|53d]], [[87edo|87]], [[121edo|121]], [[208edo|208]]


[[Badness|Badness]]: 0.0486
[[Badness]]: 0.0486


==13-limit==
==13-limit==
Line 364: Line 364:
Map: [<1 0 1 -12 -5 0|, <0 6 5 56 32 14|]
Map: [<1 0 1 -12 -5 0|, <0 6 5 56 32 14|]


EDOs: [[15edo|15]], [[19edo|19]], [[34edo|34]], [[87edo|87]], [[121edo|121]], [[208edo|208]]
EDOs: [[34edo|34d]], [[53edo|53d]], [[87edo|87]], [[121edo|121]], [[208edo|208]]


[[Badness|Badness]]: 0.0244
[[Badness]]: 0.0244


=Hemikleismic=
=Hemikleismic=
Line 375: Line 375:
Map: [<1 0 1 4|, <0 12 10 -9|]
Map: [<1 0 1 4|, <0 12 10 -9|]


EDOs: [[53edo|53]], [[121edo|121]]
EDOs: [[15edo|15]], [[53edo|53]], [[121edo|121]]


Badness: 0.0521
Badness: 0.0521
Line 467: Line 467:


=Tritikleismic=
=Tritikleismic=
[[Comma|Comma]]s: 15625/15552, 1029/1024
[[Comma]]s: 15625/15552, 1029/1024


[[POTE_tuning|POTE generator]]: 316.872
[[POTE_tuning|POTE generator]]: 316.872
Line 473: Line 473:
Map: [<3 0 3 10|, <0 6 5 -2|]
Map: [<3 0 3 10|, <0 6 5 -2|]


[[wedgie|Wedgie]]: <<18 15 -6 -18 -60 -56||
[[Wedgie]]: <<18 15 -6 -18 -60 -56||


EDOs: [[15edo|15]], [[57edo|57]], [[72edo|72]], [[159edo|159]], [[231edo|231]]
EDOs: [[15edo|15]], [[57edo|57]], [[72edo|72]], [[159edo|159]], [[231edo|231]]


[[Badness|Badness]]: 0.0563
[[Badness]]: 0.0563


==11-limit==
==11-limit==
[[Comma|Comma]]s: 385/384, 441/440, 4000/3993
[[Comma]]s: 385/384, 441/440, 4000/3993


[[POTE_tuning|POTE generator]]: 316.881
[[POTE_tuning|POTE generator]]: 316.881
Line 488: Line 488:
EDOs: [[15edo|15]], [[57edo|57]], [[72edo|72]], [[159edo|159]], [[231edo|231]]
EDOs: [[15edo|15]], [[57edo|57]], [[72edo|72]], [[159edo|159]], [[231edo|231]]


[[Badness|Badness]]: 0.0193
[[Badness]]: 0.0193


==13-limit==
==13-limit==
[[Comma|Comma]]s: 325/324, 364/363, 441/440, 625/624
[[Comma]]s: 325/324, 364/363, 441/440, 625/624


[[POTE_tuning|POTE generator]]: 316.959
[[POTE_tuning|POTE generator]]: 316.959
Line 499: Line 499:
EDOs: [[15edo|15]], [[72edo|72]], 87, 159, 867, 1026
EDOs: [[15edo|15]], [[72edo|72]], 87, 159, 867, 1026


[[Badness|Badness]]: 0.0157
[[Badness]]: 0.0157


=Quadritikleismic=
=Quadritikleismic=
[[Comma|Comma]]s: 15625/15552, 2401/2400
[[Comma]]s: 15625/15552, 2401/2400


[[POTE_tuning|POTE generator]]: 316.9999
[[POTE_tuning|POTE generator]]: 316.9999
Line 512: Line 512:
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]], [[1200edo|1200]]
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]], [[1200edo|1200]]


[[Badness|Badness]]: 0.0392
[[Badness]]: 0.0392


==11-limit==
==11-limit==
Line 523: Line 523:
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]], [[284edo|284]], [[496edo|496]], [[780edo|780]]
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]], [[284edo|284]], [[496edo|496]], [[780edo|780]]


[[Badness|Badness]]: 0.0234
[[Badness]]: 0.0234


==13-limit==
==13-limit==
Line 534: Line 534:
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]]
EDOs: [[68edo|68]], [[72edo|72]], [[140edo|140]], [[212edo|212]]


[[Badness|Badness]]: 0.0187
[[Badness]]: 0.0187


=Kleiboh=
=Kleiboh=
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