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


[[Comma list]]: 126/125, 245/243
[[Comma list]]: 126/125, 245/243


[[Mapping]]: [{{val| 1 6 8 11 }}, {{val| 0 -7 -9 -13 }}]
[[Mapping]]: [{{val| 1 -1 -1 -2 }}, {{val| 0 7 9 13 }}]


Mapping generators: ~2, ~14/9
Mapping generators: ~2, ~9/7


{{Multival|legend=1| 7 9 13 -2 1 5 }}
{{Multival|legend=1| 7 9 13 -2 1 5 }}
Line 54: Line 53:
{{Val list|legend=1| 19, 27, 46, 157d, 203cd, 249cdd, 295ccdd }}
{{Val list|legend=1| 19, 27, 46, 157d, 203cd, 249cdd, 295ccdd }}


[[Badness]]: 0.0256
[[Badness]]: 0.025622


=== Sensation ===
=== Sensation ===
Subgroup: 2.3.5.7.13
Subgroup: 2.3.5.7.13


Comma list: 91/90, 126/125, 169/168
Comma list: 91/90, 126/125, 169/168


Sval mapping: [{{val| 1 6 8 11 10 }}, {{val| 0 -7 -9 -13 -10 }}]
Sval mapping: [{{val| 1 -1 -1 -2 0 }}, {{val| 0 7 9 13 10 }}]


Gencom mapping: [{{val| 1 6 8 11 0 10 }}, {{val| 0 -7 -9 -13 0 -10 }}]
Gencom mapping: [{{val| 1 -1 -1 -2 0 0 }}, {{val| 0 7 9 13 0 10 }}]


Gencom: [2 9/7; 91/90 126/125 169/168]
Gencom: [2 9/7; 91/90 126/125 169/168]
Line 70: Line 68:
POTE generator: ~9/7 = 443.322
POTE generator: ~9/7 = 443.322


{{Val list|legend=1| 19, 27, 46, 111de, 157de }}
Vals: {{Val list| 19, 27, 46, 111de, 157de }}


== Sensor ==
== Sensor ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 126/125, 245/243, 385/384
Comma list: 126/125, 245/243, 385/384


Mapping: [{{val| 1 6 8 11 -6 }}, {{val| 0 -7 -9 -13 15 }}]
Mapping: [{{val| 1 -1 -1 -2 9 }}, {{val| 0 7 9 13 -15 }}]


POTE generator: ~9/7 = 443.294
POTE generator: ~9/7 = 443.294


{{Val list|legend=1| 19, 27, 46, 111d, 157d, 268cdd }}
Vals: {{Val list| 19, 27, 46, 111d, 157d, 268cdd }}


Badness: 0.0379
Badness: 0.037942


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


Comma list: 91/90, 126/125, 169/168, 385/384
Comma list: 91/90, 126/125, 169/168, 385/384


Mapping: [{{val| 1 6 8 11 -6 10 }}, {{val| 0 -7 -9 -13 15 -10 }}]
Mapping: [{{val| 1 -1 -1 -2 9 0 }}, {{val| 0 7 9 13 -15 10 }}]


POTE generator: ~9/7 = 443.321
POTE generator: ~9/7 = 443.321


{{Val list|legend=1| 19, 27, 46, 111df, 157df }}
Vals: {{Val list| 19, 27, 46, 111df, 157df }}


Badness: 0.0256
Badness: 0.025575


== Sensis ==
== Sensis ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 56/55, 100/99, 245/243
Comma list: 56/55, 100/99, 245/243


Mapping: [{{val| 1 6 8 11 6 }}, {{val| 0 -7 -9 -13 -4 }}]
Mapping: [{{val| 1 -1 -1 -2 2 }}, {{val| 0 7 9 13 4 }}]


POTE generator: ~9/7 = 443.962
POTE generator: ~9/7 = 443.962


{{Val list|legend=1| 19, 27e, 73ee }}
Vals: {{Val list| 8d, 19, 27e, 73ee }}


Badness: 0.0287
Badness: 0.028680


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


Comma list: 56/55, 78/77, 91/90, 100/99
Comma list: 56/55, 78/77, 91/90, 100/99


Mapping: [{{val| 1 6 8 11 6 10 }}, {{val| 0 -7 -9 -13 -4 -10 }}]
Mapping: [{{val| 1 -1 -1 -2 2 0 }}, {{val| 0 7 9 13 4 10 }}]


POTE generator: ~9/7 = 443.945
POTE generator: ~9/7 = 443.945


{{Val list|legend=1| 19, 27e, 46e, 73ee }}
Vals: {{Val list| 19, 27e, 46e, 73ee }}


Badness: 0.0200
Badness: 0.020017


== Sensus ==
== Sensus ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 126/125, 176/175, 245/243
Comma list: 126/125, 176/175, 245/243


Mapping: [{{val| 1 6 8 11 23 }}, {{val| 0 -7 -9 -13 -31 }}]
Mapping: [{{val| 1 -1 -1 -2 -8 }}, {{val| 0 7 9 13 31 }}]


POTE generator: ~9/7 = 443.626
POTE generator: ~9/7 = 443.626


{{Val list|legend=1| 19e, 27e, 46, 119c, 165c }}
Vals: {{Val list| 19e, 27e, 46, 119c, 165c }}


Badness: 0.0295
Badness: 0.029486


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


Comma list: 91/90, 126/125, 169/168, 352/351
Comma list: 91/90, 126/125, 169/168, 352/351


Mapping: [{{val| 1 6 8 11 23 10 }}, {{val| 0 -7 -9 -13 -31 -10 }}]
Mapping: [{{val| 1 -1 -1 -2 -8 0 }}, {{val| 0 7 9 13 31 10 }}]


POTE generator: ~9/7 = 443.559
POTE generator: ~9/7 = 443.559


{{Val list|legend=1| 19e, 27e, 46, 165cf, 211bccf, 257bccff, 303bccdff }}
Vals: {{Val list| 19e, 27e, 46, 165cf, 211bccf, 257bccff, 303bccdff }}


Badness: 0.0208
Badness: 0.020789


== Sensa ==
== Sensa ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 55/54, 77/75, 99/98
Comma list: 55/54, 77/75, 99/98


Mapping: [{{val| 1 6 8 11 11 }}, {{val| 0 -7 -9 -13 -12 }}]
Mapping: [{{val| 1 -1 -1 -2 -1 }}, {{val| 0 7 9 13 12 }}]


POTE generator: ~9/7 = 443.518
POTE generator: ~9/7 = 443.518


{{Val list|legend=1| 19e, 27, 46ee }}
Vals: {{Val list| 19e, 27, 46ee }}


Badness: 0.0368
Badness: 0.036835


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


Comma list: 55/54, 66/65, 77/75, 143/140
Comma list: 55/54, 66/65, 77/75, 143/140


Mapping: [{{val| 1 6 8 11 11 10 }}, {{val| 0 -7 -9 -13 -12 -11 }}]
Mapping: [{{val| 1 -1 -1 -2 -1 0 }}, {{val| 0 7 9 13 12 11 }}]


POTE generator: ~9/7 = 443.506
POTE generator: ~9/7 = 443.506


{{Val list|legend=1| 19e, 27, 46ee }}
Vals: {{Val list| 19e, 27, 46ee }}


Badness: 0.0233
Badness: 0.023258


== Hemisensi ==
== Hemisensi ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 126/125, 243/242, 245/242
Comma list: 126/125, 243/242, 245/242


Mapping: [{{val| 1 13 17 24 32 }}, {{val| 0 -14 -18 -26 -35 }}]
Mapping: [{{val| 1 -1 -1 -2 -3 }}, {{val| 0 14 18 26 35 }}]


POTE generator: ~25/22 = 221.605
POTE generator: ~25/22 = 221.605


{{Val list|legend=1| 27e, 65, 157de, 222cde }}
Vals: {{Val list| 27e, 65, 157de, 222cde }}


Badness: 0.0487
Badness: 0.048714


= Bohpier =
= Bohpier =
Bohpier is named after its [[Relationship between Bohlen-Pierce and octave-ful temperaments|interesting relationship with the non-octave Bohlen-Pierce equal temperament]].
Bohpier is named after its [[Relationship between Bohlen-Pierce and octave-ful temperaments|interesting relationship with the non-octave Bohlen-Pierce equal temperament]].
== 5-limit ==


Subgroup: 2.3.5
Subgroup: 2.3.5
Line 213: Line 200:
{{Val list|legend=1| 8, 41, 131, 172, 213c }}
{{Val list|legend=1| 8, 41, 131, 172, 213c }}


[[Badness]]: 0.8605
[[Badness]]: 0.860534


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


Line 229: Line 215:
{{Val list|legend=1| 41, 131 }}
{{Val list|legend=1| 41, 131 }}


[[Badness]]: 0.0682
[[Badness]]: 0.068237


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


Line 241: Line 226:
Mapping: [{{val| 1 0 0 0 2 }}, {{val| 0 13 19 23 12 }}]
Mapping: [{{val| 1 0 0 0 2 }}, {{val| 0 13 19 23 12 }}]


{{Val list|legend=1| 41, 90e, 131e }}
Vals: {{Val list| 41, 90e, 131e }}


Badness: 0.0339
Badness: 0.033949


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


Line 255: Line 239:
Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 13 19 23 12 14 }}]
Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 13 19 23 12 14 }}]


{{Val list|legend=1| 41, 90ef, 131ef, 221bdeff }}
Vals: {{Val list| 41, 90ef, 131ef, 221bdeff }}


Badness: 0.0249
Badness: 0.024864


== Music ==
== Music ==
by [[Chris Vaisvil]]:
by [[Chris Vaisvil]]:
* [http://micro.soonlabel.com/bophier/bophier-1.mp3 bophier-1.mp3]
* [http://micro.soonlabel.com/bophier/bophier-1.mp3 bophier-1.mp3]
* [http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 bophier-12equal-six-octaves.mp3]
* [http://micro.soonlabel.com/bophier/bophier-12equal-six-octaves.mp3 bophier-12equal-six-octaves.mp3]


= Sensa aka escaped =
= Escaped =
{{see also| Escapade family #Escaped }}
{{see also| Escapade family #Escaped }}
This temperament is also known as "sensa" because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. ''Not to be confused with 19e&27 temperament (sensi extension).''


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 280: Line 265:
{{Val list|legend=1| 22, 65, 87, 196, 283 }}
{{Val list|legend=1| 22, 65, 87, 196, 283 }}


[[Badness]]: 0.0887
[[Badness]]: 0.088746


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


Line 292: Line 276:
POTE generator: ~28/27 = 55.126
POTE generator: ~28/27 = 55.126


{{Val list|legend=1| 22, 65, 87, 196, 283 }}
Vals: {{Val list| 22, 65, 87, 196, 283 }}


Badness: 0.0358
Badness: 0.035844


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


Line 306: Line 289:
POTE generator: ~28/27 = 55.138
POTE generator: ~28/27 = 55.138


{{Val list|legend=1| 22, 65, 87, 283 }}
Vals: {{Val list| 22, 65, 87, 283 }}


Badness: 0.0317
Badness: 0.031366


= Salsa =
= Salsa =
Line 462: Line 445:


= Magus =
= Magus =
== 5-limit ==
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 477: Line 458:


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


Line 493: Line 473:


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


Line 507: Line 486:


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


Line 521: Line 499:


= Leapweek =
= Leapweek =
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 535: Line 512:


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


Line 549: Line 525:


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


Line 572: Line 547:


[[Vals]]: {{val list|8edf, 11edf, 13edf}}
[[Vals]]: {{val list|8edf, 11edf, 13edf}}
==Semilupine==
==Semilupine==
[[Subgroup]]: 3/2.7/4.5/2.11/4
[[Subgroup]]: 3/2.7/4.5/2.11/4
Line 582: Line 558:


[[Vals]]: {{val list|8edf, 13edf}}
[[Vals]]: {{val list|8edf, 13edf}}
==Hemilycan==
==Hemilycan==
[[Subgroup]]: 3/2.7/4.5/2.11/4
[[Subgroup]]: 3/2.7/4.5/2.11/4
Retrieved from "https://en.xen.wiki/w/Sensamagic_clan"