Jubilismic clan: Difference between revisions
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Doublewide, lemba and diminished are discussed below; others in the clan are [[Diaschismic family #Pajara|pajara]], [[Dicot family #Decimal|decimal]], [[Meantone family #Injera|injera]], [[Trienstonic clan #Octokaidecal|octokaidecal]], [[Porcupine family #Hedgehog|hedgehog]], [[Pelogic family #Bipelog|bipelog]], [[Augmented family #Hexe|hexe]] and [[Magic family #Astrology|astrology]], which are discussed elsewhere. | Doublewide, lemba and diminished are discussed below; others in the clan are [[Diaschismic family #Pajara|pajara]], [[Dicot family #Decimal|decimal]], [[Meantone family #Injera|injera]], [[Trienstonic clan #Octokaidecal|octokaidecal]], [[Porcupine family #Hedgehog|hedgehog]], [[Pelogic family #Bipelog|bipelog]], [[Augmented family #Hexe|hexe]] and [[Magic family #Astrology|astrology]], which are discussed elsewhere. | ||
== No-3 jubilismic | == No-3 jubilismic == | ||
Subgroup: 2.5.7 | Subgroup: 2.5.7 | ||
Line 15: | Line 15: | ||
{{Val list|legend=1| 2, 4, 6, 16, 22, 60d, 82d, 104dd }} | {{Val list|legend=1| 2, 4, 6, 16, 22, 60d, 82d, 104dd }} | ||
== Diminished | == Lemba == | ||
{{main| Lemba }} | |||
{{see also| Gamelismic clan #Lemba }} | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 50/49, 525/512 | |||
[[Mapping]]: [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1 }}] | |||
[[POTE generator]]: ~8/7 = 232.089 | |||
{{Val list|legend=1| 10, 16, 26, 62 }} | |||
[[Badness]]: 0.0622 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 45/44, 50/49, 385/384 | |||
Mapping: [{{val| 2 2 5 6 5 }}, {{val| 0 3 -1 -1 5 }}] | |||
POTE generator: ~8/7 = 230.974 | |||
{{Val list|legend=1| 10, 16, 26 }} | |||
Badness: 0.0416 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 45/44, 50/49, 65/64, 78/77 | |||
Mapping: [{{val| 2 2 5 6 5 7 }}, {{val| 0 3 -1 -1 5 1 }}] | |||
POTE generator: ~8/7 = 230.966 | |||
{{Val list|legend=1| 10, 16, 26 }} | |||
Badness: 0.0255 | |||
== Diminished == | |||
<div style="float: right">[[:de:Verminderte Temperaturen|Deutsch]]</div> | <div style="float: right">[[:de:Verminderte Temperaturen|Deutsch]]</div> | ||
{{see also|Dimipent family #Diminished}} | {{see also|Dimipent family #Diminished}} | ||
Line 35: | Line 79: | ||
Scales: [[diminished12]] | Scales: [[diminished12]] | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 53: | Line 97: | ||
Scales: [[diminished12]] | Scales: [[diminished12]] | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 71: | Line 115: | ||
Scales: [[diminished12]] | Scales: [[diminished12]] | ||
=== Demolished | === Demolished === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 87: | Line 131: | ||
Badness: 0.0266 | Badness: 0.0266 | ||
=== Hemidim | === Hemidim === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 103: | Line 147: | ||
Badness: 0.0550 | Badness: 0.0550 | ||
== Doublewide | == Doublewide == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Line 117: | Line 161: | ||
[[Badness]]: 0.0435 | [[Badness]]: 0.0435 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 131: | Line 175: | ||
Badness: 0.0321 | Badness: 0.0321 | ||
=== Fleetwood | === Fleetwood === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 145: | Line 189: | ||
Badness: 0.0352 | Badness: 0.0352 | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 159: | Line 203: | ||
Badness: 0.0318 | Badness: 0.0318 | ||
=== Cavalier | === Cavalier === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 173: | Line 217: | ||
Badness: 0.0529 | Badness: 0.0529 | ||
==== 13-limit | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 187: | Line 231: | ||
Badness: 0.0350 | Badness: 0.0350 | ||
== | == Elvis == | ||
{{ | === 5-limit === | ||
{{ | |||
Subgroup: 2.3.5 | |||
[[Comma list]]: 36905625/33554432 | |||
[[Mapping]]: [{{val| 2 1 10 }}, {{val| 0 2 -5 }}] | |||
[[POTE generator]]: ~45/32 = 554.546 | |||
{{Val list|legend=1| 26, 80bc, 106bc, 132bc }} | |||
[[Badness]]: 0.8840 | |||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
[[Comma list]]: 50/49, | [[Comma list]]: 50/49, 8505/8192 | ||
[[Mapping]]: [{{val| 2 1 10 11 }}, {{val| 0 2 -5 -5 }}] | |||
{{Multival|legend=1| 4 -10 -10 -25 -27 5 }} | |||
[[POTE generator]]: ~ | [[POTE generator]]: ~45/32 = 553.721 | ||
{{Val list|legend=1| | {{Val list|legend=1| 24c, 26 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.1415 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: 45/44, 50/49, | Comma list: 45/44, 50/49, 1344/1331 | ||
Mapping: [{{val| 2 | Mapping: [{{val| 2 1 10 11 8 }}, {{val| 0 2 -5 -5 -1 }}] | ||
POTE generator: ~8 | POTE generator: ~11/8 = 553.882 | ||
{{Val list|legend=1| | {{Val list|legend=1| 26 }} | ||
Badness: 0. | Badness: 0.0632 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 45/44, 50/49, | Comma list: 45/44, 50/49, 78/77, 1053/1024 | ||
Mapping: [{{val| 2 | Mapping: [{{val| 2 1 10 11 8 16 }}, {{val| 0 2 -5 -5 -1 -8 }}] | ||
POTE generator: ~8 | POTE generator: ~11/8 = 553.892 | ||
{{Val list|legend=1| | {{Val list|legend=1| 26 }} | ||
Badness: 0. | Badness: 0.0440 | ||
== Crepuscular | == Crepuscular == | ||
{{see also| Fifive family #Crepuscular }} | {{see also| Fifive family #Crepuscular }} | ||
Line 248: | Line 307: | ||
[[Badness]]: 0.0867 | [[Badness]]: 0.0867 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 262: | Line 321: | ||
Badness: 0.0408 | Badness: 0.0408 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 276: | Line 335: | ||
Badness: 0.0244 | Badness: 0.0244 | ||
== Comic == | |||
=== 5-limit === | |||
== Comic | |||
=== 5-limit | |||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
Line 380: | Line 350: | ||
Badness: 0.4912 | Badness: 0.4912 | ||
=== 7-limit | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Line 396: | Line 366: | ||
[[Badness]]: 0.0844 | [[Badness]]: 0.0844 | ||
=== 11-limit | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 410: | Line 380: | ||
Badness: 0.0451 | Badness: 0.0451 | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 424: | Line 394: | ||
Badness: 0.0415 | Badness: 0.0415 | ||
== Bipyth == | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 50/49, 20480/19683 | |||
[[Mapping]]: [{{val| 2 0 -24 -23 }}, {{val| 0 1 9 9 }}] | |||
{{Multival|legend=1| 2 18 18 24 23 -9 }} | |||
[[POTE generator]]: ~3/2 = 709.437 | |||
{{Val list|legend=1| 10cd, 12cd, 22 }} | |||
[[Badness]]: 0.1650 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 121/120, 896/891 | |||
Mapping: [{{val| 2 0 -24 -23 -9 }}, {{val| 0 1 9 9 5 }}] | |||
POTE generator: ~3/2 = 709.310 | |||
{{Val list|legend=1| 10cd, 12cde, 22 }} | |||
Badness: 0.0709 | |||
== Duodecim | == Duodecim == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 442: | Line 440: | ||
Badness: 0.030536 | Badness: 0.030536 | ||
== Vigintiduo | == Vigintiduo == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 458: | Line 456: | ||
Badness: 0.0484 | Badness: 0.0484 | ||
== Vigin | == Vigin == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 475: | Line 473: | ||
[[Category:Temperament clan]] | [[Category:Temperament clan]] | ||
[[Category:Jubilismic clan| ]] <!-- main article --> | [[Category:Jubilismic clan| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] |