Jubilismic clan: Difference between revisions

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EDOs: {{EDOs|10, 12, 16, 22, 104}}
EDOs: {{EDOs|10, 12, 16, 22, 104}}


=Diminished=
= Diminished =
<span style="display: block; text-align: right;">[[:de:Verminderte_Temperaturen|Deutsch]]</span>
<span style="display: block; text-align: right;">[[:de:Verminderte_Temperaturen|Deutsch]]</span>
{{see also|Dimipent family}}
{{see also|Dimipent family}}
Line 22: Line 22:
Badness: 0.0224
Badness: 0.0224


==11-limit==
== 11-limit ==
Commas: 36/35, 50/49, 56/55
Commas: 36/35, 50/49, 56/55


Line 33: Line 33:
Badness: 0.0221
Badness: 0.0221


==13-limit==
=== 13-limit ===
Commas: 36/35, 40/39, 50/49, 66/65
Commas: 36/35, 40/39, 50/49, 66/65


Line 44: Line 44:
Badness: 0.0195
Badness: 0.0195


==Demolished==
== Demolished ==
Commas: 36/35, 45/44, 50/49
Commas: 36/35, 45/44, 50/49


Line 55: Line 55:
Badness: 0.0266
Badness: 0.0266


==Hemidim==
== Hemidim ==
Commas: 36/35, 50/49, 125/121
Commas: 36/35, 50/49, 125/121


Line 66: Line 66:
Badness: 0.0550
Badness: 0.0550


=Doublewide=
= Doublewide =
Commas: 50/49, 875/864
Commas: 50/49, 875/864


Line 77: Line 77:
Badness: 0.0435
Badness: 0.0435


==11-limit==
== 11-limit ==
Commas: 50/49, 99/98, 875/864
Commas: 50/49, 99/98, 875/864


Line 84: Line 84:
Map: [&lt;2 1 3 4 8|, &lt;0 4 3 3 -2|]
Map: [&lt;2 1 3 4 8|, &lt;0 4 3 3 -2|]


EDOs: {{EDOs|18, 22, 48, 70], 118cd}}
EDOs: {{EDOs|18, 22, 48, 70, 118cd}}


Badness: 0.0321
Badness: 0.0321


==Fleetwood==
== Fleetwood ==
Commas: 50/49, 55/54, 176/175
Commas: 50/49, 55/54, 176/175


Line 99: Line 99:
Badness: 0.0352
Badness: 0.0352


===13-limit===
=== 13-limit ===
Commas: 50/49, 55/54, 65/63, 176/175
Commas: 50/49, 55/54, 65/63, 176/175


Line 110: Line 110:
Badness: 0.0318
Badness: 0.0318


==Cavalier==
== Cavalier ==
Commas: 45/44, 50/49, 875/864
Commas: 45/44, 50/49, 875/864


Line 121: Line 121:
Badness: 0.0529
Badness: 0.0529


===13-limit===
=== 13-limit ===
Commas: 45/44, 50/49, 78/77, 325/324
Commas: 45/44, 50/49, 78/77, 325/324


Line 132: Line 132:
Badness: 0.0350
Badness: 0.0350


=Lemba=
= Lemba =
{{see also|Gamelismic clan #Lemba}}
{{see also|Gamelismic clan #Lemba}}


Line 145: Line 145:
Badness: 0.0622
Badness: 0.0622


==11-limit==
== 11-limit ==
Commas: 45/44, 50/49, 385/384
Commas: 45/44, 50/49, 385/384


Line 156: Line 156:
Badness: 0.0416
Badness: 0.0416


==13-limit==
== 13-limit ==
Commas: 45/44, 50/49, 65/64, 78/77
Commas: 45/44, 50/49, 65/64, 78/77


Line 167: Line 167:
Badness: 0.0255
Badness: 0.0255


=Vigintiduo=
= Vigintiduo =
Commas: 50/49, 64/63, 245/243
Commas: 50/49, 64/63, 245/243


Line 178: Line 178:
Badness: 0.0484
Badness: 0.0484


=Vigin=
= Vigin =
Commas: 50/49, 55/54, 64/63, 99/98
Commas: 50/49, 55/54, 64/63, 99/98


Line 189: Line 189:
Badness: 0.0298
Badness: 0.0298


=Duodecim=
= Duodecim =
Commas: 36/35, 50/49, 64/63
Commas: 36/35, 50/49, 64/63


Line 200: Line 200:
Badness: 0.030536
Badness: 0.030536


=Crepuscular=
= Crepuscular =
{{see also|Fifive family}}
 
Commas: 50/49, 4375/4374
Commas: 50/49, 4375/4374


Line 213: Line 215:
Badness: 0.0867
Badness: 0.0867


==11-limit==
== 11-limit ==
Commas: 50/49, 99/98, 1944/1925
Commas: 50/49, 99/98, 1944/1925


Line 224: Line 226:
Badness: 0.0408
Badness: 0.0408


==13-limit==
== 13-limit ==
Commas: 50/49, 78/77, 99/98, 144/143
Commas: 50/49, 78/77, 99/98, 144/143


Line 235: Line 237:
Badness: 0.0244
Badness: 0.0244


=Bipyth=
= Bipyth =
Commas: 50/49, 20480/19683
Commas: 50/49, 20480/19683


Line 246: Line 248:
Badness: 0.1650
Badness: 0.1650


==11-limit==
== 11-limit ==
Commas: 50/49, 121/120, 896/891
Commas: 50/49, 121/120, 896/891


Line 257: Line 259:
Badness: 0.0709
Badness: 0.0709


=Elvis=
= Elvis =
Comma: 36905625/33554432
Comma: 36905625/33554432


Line 268: Line 270:
Badness: 0.8840
Badness: 0.8840


==7-limit==
== 7-limit ==
Commas: 50/49, 8505/8192
Commas: 50/49, 8505/8192


Line 281: Line 283:
Badness: 0.1415
Badness: 0.1415


==11-limit==
== 11-limit ==
Commas: 45/44, 50/49, 1344/1331
Commas: 45/44, 50/49, 1344/1331


Line 292: Line 294:
Badness: 0.0632
Badness: 0.0632


==13-limit==
== 13-limit ==
Commas: 45/44, 50/49, 78/77, 1053/1024
Commas: 45/44, 50/49, 78/77, 1053/1024


Revision as of 17:42, 8 November 2020

The jubilismic clan tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.

No-threes POTE generator: 380.840

No-threes map: [<2 0 1 1|, <0 0 1 1|]

EDOs: 10, 12, 16, 22, 104

Diminished

Deutsch

See also: Dimipent family

Commas: 36/35, 50/49

POTE generator: ~3/2 = 699.523

Map: [<4 0 3 5|, <0 1 1 1|]

EDOs: 4, 12

Badness: 0.0224

11-limit

Commas: 36/35, 50/49, 56/55

POTE generator: ~3/2 = 709.109

Map: [<4 0 3 5 14|, <0 1 1 1 0|]

EDOs: 4, 8, 12, 44

Badness: 0.0221

13-limit

Commas: 36/35, 40/39, 50/49, 66/65

POTE generator: ~3/2 = 713.773

Map: [<4 0 3 5 14 15|, <0 1 1 1 0 0|]

EDOs: 4, 8d, 12f, 20cdef

Badness: 0.0195

Demolished

Commas: 36/35, 45/44, 50/49

POTE generator: ~3/2 = 689.881

Map: [<4 0 3 5 -5|, <0 1 1 1 3|]

EDOs: 12, 28, 40de

Badness: 0.0266

Hemidim

Commas: 36/35, 50/49, 125/121

POTE generator: ~12/11 = 101.679

Map: [<4 1 4 6 6|, <0 2 2 2 3|]

EDOs: 12, 20b

Badness: 0.0550

Doublewide

Commas: 50/49, 875/864

POTE generator: ~6/5 = 325.719

Map: [<2 1 3 4|, <0 4 3 3|]

EDOs: 18, 22, 26, 48, 70c

Badness: 0.0435

11-limit

Commas: 50/49, 99/98, 875/864

POTE generator: ~6/5 = 325.548

Map: [<2 1 3 4 8|, <0 4 3 3 -2|]

EDOs: 18, 22, 48, 70, 118cd

Badness: 0.0321

Fleetwood

Commas: 50/49, 55/54, 176/175

POTE generator: ~6/5 = 327.038

Map: [<2 1 3 4 2|, <0 4 3 3 9|]

EDOs: 22, 26e

Badness: 0.0352

13-limit

Commas: 50/49, 55/54, 65/63, 176/175

POTE generator: ~6/5 = 327.841

Map: [<2 1 3 4 2 3|, <0 4 3 3 9 8|]

EDOs: 22, 84bdf

Badness: 0.0318

Cavalier

Commas: 45/44, 50/49, 875/864

POTE generator: ~6/5 = 323.427

Map: [<2 1 3 4 1|, <0 4 3 3 11|]

EDOs: 26

Badness: 0.0529

13-limit

Commas: 45/44, 50/49, 78/77, 325/324

POTE generator: ~6/5 = 323.396

Map: [<2 1 3 4 1 2|, <0 4 3 3 11 10|]

EDOs: 26

Badness: 0.0350

Lemba

See also: Gamelismic clan § Lemba

Commas: 50/49, 525/512

POTE generator: ~8/7 = 232.089

Map: [<2 2 5 6|, <0 3 -1 -1|]

EDOs: 10, 16, 26, 62

Badness: 0.0622

11-limit

Commas: 45/44, 50/49, 385/384

POTE generator: ~8/7 = 230.974

Map: [<2 2 5 6 5|, <0 3 -1 -1 5|]

EDOs: 10, 16, 26

Badness: 0.0416

13-limit

Commas: 45/44, 50/49, 65/64, 78/77

POTE generator: ~8/7 = 230.966

Map: [<2 2 5 6 5 7|, <0 3 -1 -1 5 1|]

EDOs: 10, 16, 26

Badness: 0.0255

Vigintiduo

Commas: 50/49, 64/63, 245/243

POTE generator: ~11/8 = 557.563

Map: [<22 35 51 62 0|, <0 0 0 0 1|]

EDOs: 22, 66de, 88bde, 110bd, 198bcdde

Badness: 0.0484

Vigin

Commas: 50/49, 55/54, 64/63, 99/98

POTE generator: ~13/8 = 844.624

Map: [<22 35 51 62 76 0|, <0 0 0 0 0 1|]

EDOs: 22, 44

Badness: 0.0298

Duodecim

Commas: 36/35, 50/49, 64/63

POTE generator: ~11/8 = 565.023

Map: [<12 19 28 34 0|, <0 0 0 0 1|]

EDOs: 12, 24d, 36d

Badness: 0.030536

Crepuscular

See also: Fifive family

Commas: 50/49, 4375/4374

POTE generator: ~27/25 = 140.349

Map: [<2 2 3 4|, <0 5 7 7|]

Wedgie: <<10 14 14 -1 -6 -7||

EDOs: 26, 34d, 60d, 94d

Badness: 0.0867

11-limit

Commas: 50/49, 99/98, 1944/1925

POTE generator: ~12/11 = 140.587

Map: [<2 2 3 4 6|, <0 5 7 7 4|]

EDOs: 26, 34d, 60d, 94de

Badness: 0.0408

13-limit

Commas: 50/49, 78/77, 99/98, 144/143

POTE generator: ~12/11 = 140.554

Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]

EDOs: 26, 34d, 60d, 94de

Badness: 0.0244

Bipyth

Commas: 50/49, 20480/19683

POTE generator: ~3/2 = 709.437

Map: [<2 0 -24 -23|, <0 1 9 9|]

Wedgie: <<2 18 18 24 23 -9||

Badness: 0.1650

11-limit

Commas: 50/49, 121/120, 896/891

POTE generator: ~3/2 = 709.310

Map: [<2 0 -24 -23 -9|, <0 1 9 9 5|]

EDOs: 22

Badness: 0.0709

Elvis

Comma: 36905625/33554432

POTE generator: ~45/32 = 554.546

Map: [<2 1 10|, <0 2 -5|]

EDOs: 24c, 26, 80bc, 106bc, 132bc

Badness: 0.8840

7-limit

Commas: 50/49, 8505/8192

POTE generator: ~45/32 = 553.721

Map: [<2 1 10 11|, <0 2 -5 -5|]

Wedgie: <<4 -10 -10 -25 -27 5||

EDOs: 24c, 26

Badness: 0.1415

11-limit

Commas: 45/44, 50/49, 1344/1331

POTE generator: ~11/8 = 553.882

Map: [<2 1 10 11 8|, <0 2 -5 -5 -1|]

EDOs: 24c, 26

Badness: 0.0632

13-limit

Commas: 45/44, 50/49, 78/77, 1053/1024

POTE generator: ~11/8 = 553.892

Map: [<2 1 10 11 8 16|, <0 2 -5 -5 -1 -8|]

EDOs: 26

Badness: 0.0440

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