Fifive family: Difference between revisions

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This tempers out the fifive comma, 9765625/9565938 = {{monzo|-1 -14 10}}.
This tempers out the fifive comma, 9765625/9565938 = {{monzo|-1 -14 10}}.


== Fifive ==
== Fifive ==
Comma: 9765625/9565938
[[Comma]]: 9765625/9565938


POTE generator: ~27/25 = 140.624
[[Mapping]]: [{{val|2 2 3}}, {{val|0 5 7}}]


Map: [<2 2 3|, <0 5 7|]
[[POTE generator]]: ~27/25 = 140.624


EDOs: {{EDOs|8, 26, 34, 94, 128}}
{{Val list|legend=1| 8, 26, 34, 94, 128 }}


Badness: 0.2058
[[Badness]]: 0.205812


== Crepuscular ==
== Crepuscular ==
{{see also|Jubilismic clan #Crepuscular}}
{{see also|Jubilismic clan #Crepuscular}}


Commas: 50/49, 4375/4374
[[Comma list]]: 50/49, 4375/4374


POTE generator: ~27/25 = 140.349
[[Mapping]]: [{{val|2 2 3 4}}, {{val|0 5 7 7}}]


Map: [<2 2 3 4|, <0 5 7 7|]
{{Multival|legend=1|10 14 14 -1 -6 -7}}


Wedgie: <<10 14 14 -1 -6 -7||
[[POTE generator]]: ~27/25 = 140.349


EDOs: {{EDOs|8d, 26, 34d, 60d}}
{{Val list|legend=1| 8d, 26, 34d, 60d }}


Badness: 0.0867
[[Badness]]: 0.086669


=== 11-limit ===
=== 11-limit ===
Commas: 50/49, 99/98, 864/847
Comma list: 50/49, 99/98, 864/847
 
Mapping: [{{val|2 2 3 4 6}}, {{val|0 5 7 7 4}}]


POTE generator: ~12/11 = 140.587
POTE generator: ~12/11 = 140.587


Map: [<2 2 3 4 6|, <0 5 7 7 4|]
Vals: {{Val list| 8d, 26, 34d, 60d }}


EDOs: {{EDOs|8d, 26, 34d, 60d}}
Badness: 0.040758


Badness: 0.0408
=== 13-limit ===
Comma list: 50/49, 78/77, 99/98, 144/143


=== 13-limit  ===
Mapping: [{{val|2 2 3 4 6 6}}, {{val|0 5 7 7 4 6}}]
Commas: 50/49, 78/77, 99/98, 144/143


POTE generator: ~12/11 = 140.554
POTE generator: ~12/11 = 140.554


Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]
Vals: {{Val list| 8d, 26, 34d, 60d }}
 
Badness: 0.024368
 
== Fifives ==
[[Comma list]]: 875/864, 83349/81920
 
[[Mapping]]: [{{val|2 2 3 7}}, {{val|0 5 7 -6}}]
 
[[POTE generator]]: ~27/25 = 139.909
 
{{Val list|legend=1| 8, 26, 34, 60 }}
 
Badness: 0.130589
 
=== 11-limit ===
Comma list: 100/99, 385/384, 3969/3872
 
Mapping: [{{val|2 2 3 7 6}}, {{val|0 5 7 -6 4}}]
 
POTE generator: ~27/25 = 139.884


EDOs: {{EDOs|8d, 26, 34d, 60d}}
Vals: {{Val list| 8, 26, 34, 60 }}


Badness: 0.0244
Badness: 0.080306


== Fifives  ==
=== 13-limit ===
Commas: 875/864, 83349/81920
Comma list: 100/99, 105/104, 144/143, 1352/1331


POTE generator: ~27/25 = 139.909
Mapping: [{{val|2 2 3 7 6 6}}, {{val|0 5 7 -6 4 6}}]


Map: [<2 2 3 7|, <0 5 7 -6|]
POTE generator: ~27/25 = 139.867


EDOs: {{EDOs|8, 26, 34, 60, 94d}}
Vals: {{Val list| 8, 26, 34, 60 }}


Badness: 0.1306
Badness: 0.044253


== Fourfives ==
== Fourfives ==
Commas: 245/243, 235298/234375
[[Comma list]]: 245/243, 235298/234375


POTE generator: ~27/25 = 140.754
[[Mapping]]: [{{val|4 4 6 7}}, {{val|0 5 7 9}}]


Map: [<4 4 6 7|, <0 5 7 9|]
[[POTE generator]]: ~27/25 = 140.754


EDOs: {{EDOs|8d, 60, 68, 128}}
{{Val list| 8d, 60, 68, 128 }}


Badness: 0.1141
[[Badness]]: 0.114143


=== 11-limit ===
=== 11-limit ===
Commas: 245/243, 385/384, 235298/234375
Comma list: 245/243, 385/384, 235298/234375
 
Mapping: [{{val|4 4 6 7 19}}, {{val|0 5 7 9 -11}}]


POTE generator: ~27/25 = 140.771
POTE generator: ~27/25 = 140.771


Map: [<4 4 6 7 19|, <0 5 7 9 -11|]
Vals: {{Val list| 8de, 60, 68, 128, 196 }}


EDOs: {{EDOs|8de, 60, 68, 128, 196}}
Badness: 0.120165


Badness: 0.1202
=== 13-limit ===
Comma list: 196/195, 245/243, 385/384, 20000/19773


=== 13-limit  ===
Mapping: [{{val|4 4 6 7 19 12}}, {{val|0 5 7 9 -11 6}}]
Commas: 196/195, 245/243, 385/384, 20000/19773


POTE generator: ~13/12 = 140.760
POTE generator: ~13/12 = 140.760


Map: [<4 4 6 7 19 12|, <0 5 7 9 -11 6|]
Vals: {{Val list| 8de, 60, 68, 128, 196f }}
 
EDOs: {{EDOs|8de, 60, 68, 128, 196f}}


Badness: 0.0674
Badness: 0.067365


[[Category:Theory]]
[[Category:Theory]]

Revision as of 09:27, 9 June 2021

This tempers out the fifive comma, 9765625/9565938 = [-1 -14 10⟩.

Fifive

Comma: 9765625/9565938

Mapping: [⟨2 2 3], ⟨0 5 7]]

POTE generator: ~27/25 = 140.624

Template:Val list

Badness: 0.205812

Crepuscular

See also: Jubilismic clan § Crepuscular

Comma list: 50/49, 4375/4374

Mapping: [⟨2 2 3 4], ⟨0 5 7 7]]

Wedgie: ⟨⟨ 10 14 14 -1 -6 -7 ]]

POTE generator: ~27/25 = 140.349

Template:Val list

Badness: 0.086669

11-limit

Comma list: 50/49, 99/98, 864/847

Mapping: [⟨2 2 3 4 6], ⟨0 5 7 7 4]]

POTE generator: ~12/11 = 140.587

Vals: Template:Val list

Badness: 0.040758

13-limit

Comma list: 50/49, 78/77, 99/98, 144/143

Mapping: [⟨2 2 3 4 6 6], ⟨0 5 7 7 4 6]]

POTE generator: ~12/11 = 140.554

Vals: Template:Val list

Badness: 0.024368

Fifives

Comma list: 875/864, 83349/81920

Mapping: [⟨2 2 3 7], ⟨0 5 7 -6]]

POTE generator: ~27/25 = 139.909

Template:Val list

Badness: 0.130589

11-limit

Comma list: 100/99, 385/384, 3969/3872

Mapping: [⟨2 2 3 7 6], ⟨0 5 7 -6 4]]

POTE generator: ~27/25 = 139.884

Vals: Template:Val list

Badness: 0.080306

13-limit

Comma list: 100/99, 105/104, 144/143, 1352/1331

Mapping: [⟨2 2 3 7 6 6], ⟨0 5 7 -6 4 6]]

POTE generator: ~27/25 = 139.867

Vals: Template:Val list

Badness: 0.044253

Fourfives

Comma list: 245/243, 235298/234375

Mapping: [⟨4 4 6 7], ⟨0 5 7 9]]

POTE generator: ~27/25 = 140.754

Template:Val list

Badness: 0.114143

11-limit

Comma list: 245/243, 385/384, 235298/234375

Mapping: [⟨4 4 6 7 19], ⟨0 5 7 9 -11]]

POTE generator: ~27/25 = 140.771

Vals: Template:Val list

Badness: 0.120165

13-limit

Comma list: 196/195, 245/243, 385/384, 20000/19773

Mapping: [⟨4 4 6 7 19 12], ⟨0 5 7 9 -11 6]]

POTE generator: ~13/12 = 140.760

Vals: Template:Val list

Badness: 0.067365

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