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== Ditonic ==
== Ditonic ==
Commas: 1220703125/1207959552
Subgroup: 2.3.5


POTE generator: ~15625/12288 = 407.574
[[Comma]]: 1220703125/1207959552


Map: [<1 6 3|, <0 -13 -2|]
[[Mapping]]: [{{val|1 6 3}}, {{val|0 -13 -2}}]


EDOs: 47, 50, 53, 474c, 527c
[[POTE generator]]: ~15625/12288 = 407.574


Badness: 0.1671
{{Val list|legend=1| 3, 47, 50, 53, 474c, 527c, 580c, 633c, 686c, 739c, 792c, 845cc }}
 
[[Badness]]: 0.167086


=== 7-limit ===
=== 7-limit ===
Commas: 126/125, 8751645/8388608
[[Comma list]]: 126/125, 8751645/8388608


POTE generator: ~2625/2048 = 407.954
[[Mapping]]: [{{val|1 6 3 -4}}, {{val|0 -13 -2 20}}]


Map: [<1 6 3 -4|, <0 -13 -2 20|]
[[POTE generator]]: ~2625/2048 = 407.954


EDOs: 3, 47, 50
{{Val list|legend=1| 3, 47, 50 }}


Badness: 0.2421
[[Badness]]: 0.242101


=== 11-limit ===
=== 11-limit ===
Commas: 126/125, 245/242, 2079/2048
Comma list: 126/125, 245/242, 2079/2048
 
Mapping: [{{val|1 6 3 -4 -3}}, {{val|0 -13 -2 20 19}}]


POTE generator: ~14/11 = 407.892
POTE generator: ~14/11 = 407.892


Map: [<1 6 3 -4 -3|, <0 -13 -2 20 19|]
Vals: {{Val list| 3, 47, 50, 53d }}


EDOs: 3, 47, 50, 53d
Badness: 0.100884


Badness: 0.1009
=== 13-limit ===
Comma list: 105/104, 126/125, 245/242, 1287/1280


=== 13-limit ===
Mapping: [{{val|1 6 3 -4 -3 2}}, {{val|0 -13 -2 20 19 5}}]
Commas: 105/104, 126/125, 245/242, 1287/1280


POTE generator: ~14/11 = 407.887
POTE generator: ~14/11 = 407.887


Map: [<1 6 3 -4 -3 2|, <0 -13 -2 20 19 5|]
Vals: {{Val list| 3, 47, 50, 53d }}


EDOs: 3, 47, 50, 53d
Badness: 0.054997


Badness: 0.0550
== Coditone ==
[[Comma list]]: 225/224, 2125764/2100875


== Coditone ==
[[Mapping]]: [{{val|1 6 3 13}}, {{val|0 -13 -2 -30}}]
Commas: 225/224, 2125764/2100875


POTE generator: ~1225/972 = 407.690
[[POTE generator]]: ~1225/972 = 407.690


Map: [<1 6 3 13|, <0 -13 -2 -30|]
{{Val list|legend=1| 3d, 50, 53, 103, 156 }}


EDOs: 50, 53, 103, 156
[[Badness]]: 0.064356


=== 11-limit ===
=== 11-limit ===
Commas: 99/98, 176/175, 6655/6561
Comma list: 225/224, 385/384, 78408/78125
 
Mapping: [{{val|1 6 3 13 -3}}, {{val|0 -13 -2 -30 19}}]
 
POTE generator: ~1225/972 = 407.741
 
Vals: {{Val list| 50, 53, 103 }}
 
Badness: 0.044329
 
==== 13-limit ====
Comma list: 225/224, 351/350, 385/384, 847/845
 
Mapping: [{{val|1 6 3 13 -3 2}}, {{val|0 -13 -2 -30 19 5}}]
 
POTE generator: ~325/256 = 407.736
 
Vals: {{Val list| 50, 53, 103 }}
 
Badness: 0.024352
 
=== Coditonic ===
Comma list: 99/98, 176/175, 6655/6561
 
Mapping: [{{val|1 6 3 13 15}}, {{val|0 -13 -2 -30 -34}}]


POTE generator: ~242/189 = 407.567
POTE generator: ~242/189 = 407.567


Map: [<1 6 3 13 15|, <0 -13 -2 -30 -34|]
Vals: {{Val list| 3de, 50e, 53 }}


EDOs: 53
Badness: 0.063876


Badness: 0.0639
==== 13-limit ====
Comma list: 99/98, 176/175, 325/324, 847/845


=== 13-limit ===
Mapping: [{{val|1 6 3 13 15 20}}, {{val|0 -13 -2 -30 -34 -48}}]
Commas: 99/98, 176/175, 325/324, 847/845


POTE generator: ~33/26 = 407.541
POTE generator: ~33/26 = 407.541


Map: [<1 6 3 13 15 20|, <0 -13 -2 -30 -34 -48|]
Vals: {{Val list| 3def, 53 }}
 
EDOs: 53


Badness: 0.0440
Badness: 0.043989


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

Revision as of 11:58, 10 June 2021

This tempers out the ditonma, 1220703125/1207959552.

Ditonic

Subgroup: 2.3.5

Comma: 1220703125/1207959552

Mapping: [⟨1 6 3], ⟨0 -13 -2]]

POTE generator: ~15625/12288 = 407.574

Template:Val list

Badness: 0.167086

7-limit

Comma list: 126/125, 8751645/8388608

Mapping: [⟨1 6 3 -4], ⟨0 -13 -2 20]]

POTE generator: ~2625/2048 = 407.954

Template:Val list

Badness: 0.242101

11-limit

Comma list: 126/125, 245/242, 2079/2048

Mapping: [⟨1 6 3 -4 -3], ⟨0 -13 -2 20 19]]

POTE generator: ~14/11 = 407.892

Vals: Template:Val list

Badness: 0.100884

13-limit

Comma list: 105/104, 126/125, 245/242, 1287/1280

Mapping: [⟨1 6 3 -4 -3 2], ⟨0 -13 -2 20 19 5]]

POTE generator: ~14/11 = 407.887

Vals: Template:Val list

Badness: 0.054997

Coditone

Comma list: 225/224, 2125764/2100875

Mapping: [⟨1 6 3 13], ⟨0 -13 -2 -30]]

POTE generator: ~1225/972 = 407.690

Template:Val list

Badness: 0.064356

11-limit

Comma list: 225/224, 385/384, 78408/78125

Mapping: [⟨1 6 3 13 -3], ⟨0 -13 -2 -30 19]]

POTE generator: ~1225/972 = 407.741

Vals: Template:Val list

Badness: 0.044329

13-limit

Comma list: 225/224, 351/350, 385/384, 847/845

Mapping: [⟨1 6 3 13 -3 2], ⟨0 -13 -2 -30 19 5]]

POTE generator: ~325/256 = 407.736

Vals: Template:Val list

Badness: 0.024352

Coditonic

Comma list: 99/98, 176/175, 6655/6561

Mapping: [⟨1 6 3 13 15], ⟨0 -13 -2 -30 -34]]

POTE generator: ~242/189 = 407.567

Vals: Template:Val list

Badness: 0.063876

13-limit

Comma list: 99/98, 176/175, 325/324, 847/845

Mapping: [⟨1 6 3 13 15 20], ⟨0 -13 -2 -30 -34 -48]]

POTE generator: ~33/26 = 407.541

Vals: Template:Val list

Badness: 0.043989

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