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Hemimean clan: Difference between revisions

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


Badness: 0.0443
Badness: 0.044284


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


Line 67: Line 66:
{{Val list|legend=1| 31, 87, 118 }}
{{Val list|legend=1| 31, 87, 118 }}


Badness: 0.0190
Badness: 0.019003


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


Line 81: Line 79:
{{Val list|legend=1| 31, 56, 87, 118, 205d }}
{{Val list|legend=1| 31, 56, 87, 118, 205d }}


Badness: 0.0217
Badness: 0.021738


= Misty =
= Misty =
Line 97: Line 95:


{{Val list|legend=1| 12, 87, 99 }}
{{Val list|legend=1| 12, 87, 99 }}
Badness: 0.036802


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


Line 109: Line 108:


{{Val list|legend=1| 12, 87, 99e, 186e }}
{{Val list|legend=1| 12, 87, 99e, 186e }}
Badness: 0.035932


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


Line 122: Line 122:
{{Val list|legend=1| 12f, 87, 99ef, 186ef, 273ef }}
{{Val list|legend=1| 12f, 87, 99ef, 186ef, 273ef }}


==== 17-limit ====
Badness: 0.027820


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


Line 134: Line 135:
{{Val list|legend=1| 12f, 87, 99ef, 186efg }}
{{Val list|legend=1| 12f, 87, 99ef, 186efg }}


==== 19-limit ====
Badness: 0.023908


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


Line 145: Line 147:


{{Val list|legend=1| 12f, 87, 99ef, 186efgh }}
{{Val list|legend=1| 12f, 87, 99ef, 186efgh }}
Badness: 0.019878


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


Line 157: Line 160:


{{Val list|legend=1| 12, 87, 186e, 273e }}
{{Val list|legend=1| 12, 87, 186e, 273e }}
Badness: 0.036872


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


Line 170: Line 174:
{{Val list|legend=1| 24d, 87, 111, 198 }}
{{Val list|legend=1| 24d, 87, 111, 198 }}


Badness: 0.0474
Badness: 0.047439


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


Line 184: Line 187:
{{Val list|legend=1| 24d, 87, 111, 198 }}
{{Val list|legend=1| 24d, 87, 111, 198 }}


Badness: 0.0229
Badness: 0.022923


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


Line 199: Line 200:
{{Val list|legend=1| 18, 31, 80, 111 }}
{{Val list|legend=1| 18, 31, 80, 111 }}


[[Badness]]: 0.6306
[[Badness]]: 0.630576


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


Line 214: Line 214:


{{Val list|legend=1| 18, 31, 80, 111 }}
{{Val list|legend=1| 18, 31, 80, 111 }}
[[Badness]]: 0.050472


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


Line 227: Line 228:
{{Val list|legend=1| 18e, 31, 80, 111, 364cd }}
{{Val list|legend=1| 18e, 31, 80, 111, 364cd }}


Badness: 0.0225
Badness: 0.022476
 
=== 13-limit ===


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


Line 241: Line 241:
{{Val list|legend=1| 31, 80, 111 }}
{{Val list|legend=1| 31, 80, 111 }}


Badness: 0.0252
Badness: 0.025204
 
==== 17-limit ====


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


Line 255: Line 254:
{{Val list|legend=1| 31, 80, 111 }}
{{Val list|legend=1| 31, 80, 111 }}


==== 19-limit ====
Badness: 0.019919


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


Line 267: Line 267:
{{Val list|legend=1| 31, 80, 111 }}
{{Val list|legend=1| 31, 80, 111 }}


==== 23-limit ====
Badness: 0.016301


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


Line 279: Line 280:
{{Val list|legend=1| 31, 80, 111, 191cdh, 302cdgh }}
{{Val list|legend=1| 31, 80, 111, 191cdh, 302cdgh }}


=== Semishly ===
Badness: 0.014957


== Semishly ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 291: Line 293:
{{Val list|legend=1| 31, 49f, 80f }}
{{Val list|legend=1| 31, 49f, 80f }}


Badness: 0.0284
Badness: 0.028408


= Sengagen =
= Sengagen =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 307: Line 308:
{{Val list|legend=1| 49, 50, 99, 248, 347, 446 }}
{{Val list|legend=1| 49, 50, 99, 248, 347, 446 }}


[[Badness]]: 0.0580
[[Badness]]: 0.057978


= Subpental =
= Subpental =
{{see also|Sensipent family}}


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 323: Line 325:
{{Val list|legend=1| 19, 111, 130, 929c, 1059c, 1189bc, 1319bc }}
{{Val list|legend=1| 19, 111, 130, 929c, 1059c, 1189bc, 1319bc }}


[[Badness]]: 0.0543
[[Badness]]: 0.054303


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


Line 337: Line 338:
{{Val list|legend=1| 19, 111, 130, 241, 371ce, 501cde, 872cde }}
{{Val list|legend=1| 19, 111, 130, 241, 371ce, 501cde, 872cde }}


Badness: 0.0453
Badness: 0.045352


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


Line 351: Line 351:
{{Val list|legend=1| 19, 111, 130, 241, 371ce }}
{{Val list|legend=1| 19, 111, 130, 241, 371ce }}


Badness: 0.0239
Badness: 0.023940


= Arch =
= Arch =
{{see also|Escapade family}}


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 367: Line 368:
{{Val list|legend=1| 43, 87, 130, 217, 347, 824c, 1171c, 1518cd }}
{{Val list|legend=1| 43, 87, 130, 217, 347, 824c, 1171c, 1518cd }}


[[Badness]]: 0.0943
[[Badness]]: 0.094345


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


Line 381: Line 381:
{{Val list|legend=1| 43, 87, 130, 217, 347e, 911cde }}
{{Val list|legend=1| 43, 87, 130, 217, 347e, 911cde }}


Badness: 0.0365
Badness: 0.036541


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


Line 395: Line 394:
{{Val list|legend=1| 43, 87, 130, 217, 347e, 564e }}
{{Val list|legend=1| 43, 87, 130, 217, 347e, 564e }}


Badness: 0.0195
Badness: 0.019504


= Emka =
= Emka =
Subgroup: 2.3.5
[[Comma list]]: {{monzo| -50 -8 27 }}
[[Mapping]]: [{{val| 1 14 6 }}, {{val| 0 -27 -8 }}]
[[POTE generator]]: ~9765625/7077888 = 551.784
{{Val list|legend=1| 37, 50, 87, 137, 224 }}
[[Badness]]: 0.544752


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


Line 409: Line 420:
{{Val list|legend=1| 37, 50, 87, 137d, 224d }}
{{Val list|legend=1| 37, 50, 87, 137d, 224d }}


[[Badness]]: 0.1443
[[Badness]]: 0.144338


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


Line 421: Line 431:
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: 0.0547
Badness: 0.054744


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


Line 435: Line 444:
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: 0.0297
Badness: 0.029741


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
Retrieved from "https://en.xen.wiki/w/Hemimean_clan"