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Hemimage temperaments: Difference between revisions

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Line 17: Line 17:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 10976/10935, 50421/50000
[[Comma list]]: 10976/10935, 50421/50000


Mapping: [<2 3 4 5|, <0 5 19 18|]
[[Mapping]]: [{{val| 2 3 4 5 }}, {{val| 0 5 19 18 }}]


Wedgie: <<10 38 36 37 29 -23||
{{Multival|legend=1| 10 38 36 37 29 -23 }}


POTE generator: ~81/80 = 20.377
[[POTE generator]]: ~81/80 = 20.377


EDOs: 58, 118, 294, 412d, 530d
{{Val list|legend=1| 58, 118, 294, 412d, 530d }}


Badness: 0.0843
[[Badness]]: 0.0843


== 11-limit ==
== 11-limit ==
Line 34: Line 34:
Comma list: 441/440, 3388/3375, 8019/8000
Comma list: 441/440, 3388/3375, 8019/8000


Mapping: [<2 3 4 5 6|, <0 5 19 18 27|]
Mapping: [{{val| 2 3 4 5 6 }}, {{val| 0 5 19 18 27 }}]


POTE generator: ~81/80 = 20.390
POTE generator: ~81/80 = 20.390


EDOs: 58, 118, 294, 412d
Vals: {{Val list| 58, 118, 294, 412d }}


Badness: 0.0305
Badness: 0.0305
Line 47: Line 47:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 10976/10935, 235298/234375
[[Comma list]]: 10976/10935, 235298/234375


Mapping: [<3 4 5 6|, <0 5 13 16|]
[[Mapping]]: [{{val| 3 4 5 6 }}, {{val| 0 5 13 16 }}]


Wedgie: <<15 39 48 27 34 2||
{{Multival|legend=1| 15 39 48 27 34 2 }}


POTE generator: ~28/27 = 60.528
[[POTE generator]]: ~28/27 = 60.528


EDOs: 60, 99, 258, 357, 456
{{Val list|legend=1| 60, 99, 258, 357, 456 }}


Badness: 0.0575
[[Badness]]: 0.0575


= Degrees =
= Degrees =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 10976/10935, 390625/388962
[[Comma list]]: 10976/10935, 390625/388962


Mapping: [<20 0 -17 -39|, <0 1 2 3|]
[[Mapping]]: [{{val| 20 0 -17 -39 }}, {{val| 0 1 2 3 }}]


Wedgie: <<20 40 60 17 39 27||
{{Multival|legend=1| 20 40 60 17 39 27 }}


POTE generator: ~3/2 = 703.015
[[POTE generator]]: ~3/2 = 703.015


EDOs: 60, 80, 140, 640b, 780b, 920b
{{Val list|legend=1| 60, 80, 140, 640b, 780b, 920b }}


Badness: 0.1065
[[Badness]]: 0.1065


== 11-limit ==
== 11-limit ==
Line 79: Line 79:
Comma list: 1331/1323, 1375/1372, 2200/2187
Comma list: 1331/1323, 1375/1372, 2200/2187


Mapping: [<20 0 -17 -39 -26|, <0 1 2 3 3|]
Mapping: [{{val| 20 0 -17 -39 -26 }}, {{val| 0 1 2 3 3 }}]


POTE generator: ~3/2 = 703.231
POTE generator: ~3/2 = 703.231


EDOs: 80, 140, 360, 500be, 860bde
Vals: {{Val list| 80, 140, 360, 500be, 860bde }}


Badness: 0.0468
Badness: 0.0468
Line 92: Line 92:
Comma list: 325/324, 352/351, 1001/1000, 1331/1323
Comma list: 325/324, 352/351, 1001/1000, 1331/1323


Mapping: [<20 0 -17 -39 -26 74|, <0 1 2 3 3 0|]
Mapping: [{{val| 20 0 -17 -39 -26 74 }}, {{val| 0 1 2 3 3 0 }}]


POTE generator: ~3/2 = 703.080
POTE generator: ~3/2 = 703.080


EDOs: 60e, 80, 140, 500be, 640be, 780be
Vals: {{Val list| 60e, 80, 140, 500be, 640be, 780be }}


Badness: 0.0327
Badness: 0.0327
Line 103: Line 103:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 10976/10935, 65536/64827
[[Comma list]]: 10976/10935, 65536/64827


Mapping: [<1 0 17 4|, <0 4 -37 -3|]
[[Mapping]]: [{{val| 1 0 17 4 }}, {{val| 0 4 -37 -3 }}]


POTE generator: ~21/16 = 475.991
[[POTE generator]]: ~21/16 = 475.991


EDOs: 58, 121, 179, 300bd, 479bcd
{{Val list|legend=1| 58, 121, 179, 300bd, 479bcd }}


Badness: 0.1407
[[Badness]]: 0.1407


== 11-limit ==
== 11-limit ==
Line 118: Line 118:
Comma list: 540/539, 896/891, 12005/11979
Comma list: 540/539, 896/891, 12005/11979


Mapping: [<1 0 17 4 11|, <0 4 -37 -3 -19|]
Mapping: [{{val| 1 0 17 4 11 }}, {{val| 0 4 -37 -3 -19 }}]


POTE generator: ~21/16 = 475.995
POTE generator: ~21/16 = 475.995


EDOs: 58, 121, 179e, 300bde
Vals: {{Val list| 58, 121, 179e, 300bde }}


Badness: 0.0453
Badness: 0.0453
Line 131: Line 131:
Comma list: 352/351, 364/363, 540/539, 676/675
Comma list: 352/351, 364/363, 540/539, 676/675


Mapping: [<1 0 17 4 11 16|, <0 4 -37 -3 -19 -31|]
Mapping: [{{val| 1 0 17 4 11 16 }}, {{val| 0 4 -37 -3 -19 -31 }}]


POTE generator: ~21/16 = 475.996
POTE generator: ~21/16 = 475.996


EDOs: 58, 121, 179ef, 300bdef
Vals: {{Val list| 58, 121, 179ef, 300bdef }}


Badness: 0.0238
Badness: 0.0238
Line 144: Line 144:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 10976/10935, 65625/65536
[[Comma list]]: 10976/10935, 65625/65536


Mapping: [<2 1 6 1|, <0 8 -5 17|]
[[Mapping]]: [{{val| 2 1 6 1 }}, {{val| 0 8 -5 17 }}]


POTE generator: ~192/175 = 162.8061
[[POTE generator]]: ~192/175 = 162.8061


EDOs: 22, 74d, 96d, 118, 140, 258, 398
{{Val list|legend=1| 22, 74d, 96d, 118, 140, 258, 398 }}


Badness: 0.0655
[[Badness]]: 0.0655


== 11-limit ==
== 11-limit ==
Line 160: Line 160:
Comma list: 385/384, 3388/3375, 9801/9800
Comma list: 385/384, 3388/3375, 9801/9800


Mapping: [<2 1 6 1 8|, <0 8 -5 17 -4|]
Mapping: [{{val| 2 1 6 1 8 }}, {{val| 0 8 -5 17 -4 }}]


POTE generators: ~11/10 = 162.7733
POTE generators: ~11/10 = 162.7733


EDOs: 22, 74d, 96d, 118, 258e, 376de
Vals: {{Val list| 22, 74d, 96d, 118, 258e, 376de }}


Badness: 0.0321
Badness: 0.0321
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