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Hemimean clan: Difference between revisions

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= Didacus =
= Didacus =
Subgroup: 2.5.7
Subgroup: 2.5.7


Line 48: Line 47:
{{Val list|legend=1| 31, 87, 118 }}
{{Val list|legend=1| 31, 87, 118 }}


Badness: 0.044284
[[Badness]]: 0.044284


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 65: Line 63:
: Eigenmonzos: 2, 11/7
: Eigenmonzos: 2, 11/7


{{Val list|legend=1| 31, 87, 118 }}
Vals: {{Val list| 31, 87, 118 }}


Badness: 0.019003
Badness: 0.019003


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 79: Line 76:
POTE generator: ~28/25 = 193.166
POTE generator: ~28/25 = 193.166


{{Val list|legend=1| 31, 56, 87, 118, 205d }}
Vals: {{Val list| 31, 56, 87, 118, 205d }}


Badness: 0.021738
Badness: 0.021738


= Misty =
= Misty =
{{see also| Misty family }}
{{see also| Misty family }}


Line 99: Line 95:
{{Val list|legend=1| 12, 87, 99 }}
{{Val list|legend=1| 12, 87, 99 }}


Badness: 0.036802
[[Badness]]: 0.036802


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 111: Line 106:
POTE generator: ~3/2 = 703.210
POTE generator: ~3/2 = 703.210


{{Val list|legend=1| 12, 87, 99e, 186e }}
Vals: {{Val list| 12, 87, 99e, 186e }}


Badness: 0.035932
Badness: 0.035932


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 125: Line 119:
POTE generator: ~3/2 = 703.303
POTE generator: ~3/2 = 703.303


{{Val list|legend=1| 12f, 87, 99ef, 186ef, 273ef }}
Vals: {{Val list| 12f, 87, 99ef, 186ef, 273ef }}


Badness: 0.027820
Badness: 0.027820


==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 139: Line 132:
POTE generator: ~3/2 = 703.233
POTE generator: ~3/2 = 703.233


{{Val list|legend=1| 12f, 87, 99ef, 186efg }}
Vals: {{Val list| 12f, 87, 99ef, 186efg }}


Badness: 0.023908
Badness: 0.023908


==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Line 153: Line 145:
POTE generator: ~3/2 = 703.253
POTE generator: ~3/2 = 703.253


{{Val list|legend=1| 12f, 87, 99ef, 186efgh }}
Vals: {{Val list| 12f, 87, 99ef, 186efgh }}


Badness: 0.019878
Badness: 0.019878


=== Mystic ===
=== Mystic ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 167: Line 158:
POTE generator: ~3/2 = 703.311
POTE generator: ~3/2 = 703.311


{{Val list|legend=1| 12, 87, 186e, 273e }}
Vals: {{Val list| 12, 87, 186e, 273e }}


Badness: 0.036872
Badness: 0.036872


== Hemimist ==
== Hemimist ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 181: Line 171:
POTE generator: ~11/8 = 551.527
POTE generator: ~11/8 = 551.527


{{Val list|legend=1| 24d, 87, 111, 198 }}
Vals: {{Val list| 24d, 87, 111, 198 }}


Badness: 0.047439
Badness: 0.047439


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 195: Line 184:
POTE generator: ~11/8 = 551.525
POTE generator: ~11/8 = 551.525


{{Val list|legend=1| 24d, 87, 111, 198 }}
Vals: {{Val list| 24d, 87, 111, 198 }}


Badness: 0.022923
Badness: 0.022923


= Semisept =
= Semisept =
== 5-limit ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 214: Line 202:


== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 230: Line 217:


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 239: Line 225:
POTE generator: ~55/36 = 735.125
POTE generator: ~55/36 = 735.125


{{Val list|legend=1| 18e, 31, 80, 111, 364cd }}
Vals: {{Val list| 18e, 31, 80, 111, 364cd }}


Badness: 0.022476
Badness: 0.022476


=== 13-limit ===
== 13-limit ==
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 253: Line 238:
POTE generator: ~55/36 = 735.126
POTE generator: ~55/36 = 735.126


{{Val list|legend=1| 31, 80, 111 }}
Vals: {{Val list| 31, 80, 111 }}


Badness: 0.025204
Badness: 0.025204


==== 17-limit ====
=== 17-limit ===
 
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Line 267: Line 251:
POTE generator: ~26/17 = 735.125
POTE generator: ~26/17 = 735.125


{{Val list|legend=1| 31, 80, 111 }}
Vals: {{Val list| 31, 80, 111 }}


Badness: 0.019919
Badness: 0.019919


==== 19-limit ====
=== 19-limit ===
 
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Line 281: Line 264:
POTE generator: ~26/17 = 735.116
POTE generator: ~26/17 = 735.116


{{Val list|legend=1| 31, 80, 111 }}
Vals: {{Val list| 31, 80, 111 }}


Badness: 0.016301
Badness: 0.016301


==== 23-limit ====
=== 23-limit ===
 
Subgroup: 2.3.5.7.11.13.17.19.23
Subgroup: 2.3.5.7.11.13.17.19.23


Line 295: Line 277:
POTE generator: ~26/17 = 735.106
POTE generator: ~26/17 = 735.106


{{Val list|legend=1| 31, 80, 111, 191cdh, 302cdgh }}
Vals: {{Val list| 31, 80, 111, 191cdh, 302cdgh }}


Badness: 0.014957
Badness: 0.014957


=== Semishly ===
== Semishly ==
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 309: Line 290:
POTE generator: ~13/10 = 464.980
POTE generator: ~13/10 = 464.980


{{Val list|legend=1| 31, 49f, 80f }}
Vals: {{Val list| 31, 49f, 80f }}


Badness: 0.028408
Badness: 0.028408
Line 327: Line 308:


[[Badness]]: 0.057978
[[Badness]]: 0.057978
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 540/539, 1344/1331, 3136/3125
Mapping: [{{val| 1 1 2 2 3 }}, {{val| 0 29 16 40 23 }}]
POTE generator: ~99/98 = 24.235
Vals: {{Val list| 49, 50, 99e }}
Badness: 0.053828
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 351/350, 540/539, 975/968, 1344/1331
Mapping: [{{val| 1 1 2 2 3 4 }}, {{val| 0 29 16 40 23 -15 }}]
POTE generator: ~99/98 = 24.181
Vals: {{Val list| 49, 50, 99e, 149e, 248eef, 397deeeff }}
Badness: 0.053531


= Subpental =
= Subpental =
Line 346: Line 353:


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 355: Line 361:
POTE generator: ~56/45 = 378.440
POTE generator: ~56/45 = 378.440


{{Val list|legend=1| 19, 111, 130, 241, 371ce, 501cde, 872cde }}
Vals: {{Val list| 19, 111, 130, 241, 371ce, 501cde, 872cde }}


Badness: 0.045352
Badness: 0.045352


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 369: Line 374:
POTE generator: ~56/45 = 378.437
POTE generator: ~56/45 = 378.437


{{Val list|legend=1| 19, 111, 130, 241, 371ce }}
Vals: {{Val list| 19, 111, 130, 241, 371ce }}


Badness: 0.023940
Badness: 0.023940
Line 391: Line 396:


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 400: Line 404:
POTE generator: ~64/63 = 27.663
POTE generator: ~64/63 = 27.663


{{Val list|legend=1| 43, 87, 130, 217, 347e, 911cde }}
Vals: {{Val list| 43, 87, 130, 217, 347e, 911cde }}


Badness: 0.036541
Badness: 0.036541


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 414: Line 417:
POTE generator: ~64/63 = 27.660
POTE generator: ~64/63 = 27.660


{{Val list|legend=1| 43, 87, 130, 217, 347e, 564e }}
Val list: {{Val list| 43, 87, 130, 217, 347e, 564e }}


Badness: 0.019504
Badness: 0.019504


= Emka =
= Emka =
== 5-limit ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 433: Line 435:


== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 439: Line 440:


[[Mapping]]: [{{val| 1 14 6 12 }}, {{val| 0 -27 -8 -20 }}]
[[Mapping]]: [{{val| 1 14 6 12 }}, {{val| 0 -27 -8 -20 }}]
{{Multival|legend=1| 27 8 20 -50 -44 24 }}


[[POTE generator]]: ~48/35 = 551.782
[[POTE generator]]: ~48/35 = 551.782
Line 447: Line 450:


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 456: Line 458:
POTE generator: ~11/8 = 551.765
POTE generator: ~11/8 = 551.765


{{Val list|legend=1| 37, 50, 87, 224d, 311d }}
Vals: {{Val list| 37, 50, 87, 224d, 311d }}


Badness: 0.054744
Badness: 0.054744


== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 470: Line 471:
POTE generator: ~11/8 = 551.758
POTE generator: ~11/8 = 551.758


{{Val list|legend=1| 37, 50, 87, 224d, 311d, 398d }}
Vals: {{Val list| 37, 50, 87, 224d, 311d, 398d }}


Badness: 0.029741
Badness: 0.029741
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