Fifive family: Difference between revisions

Godtone (talk | contribs)
m restore old badness for reference
Review (restore POTE tuning since the replacement was based on a wrong assessment: CWE is ~140.629 not .623)
Line 15: Line 15:
: mapping generators: ~78125/50421, ~27/25
: mapping generators: ~78125/50421, ~27/25


[[Optimal tuning]] ([[CWE]]): ~78125/50421 = 1\2, ~27/25 = 140.623
[[Optimal tuning]]s:
* [[CTE]]: ~78125/50421 = 1\2, ~27/25 = 140.6349
* [[POTE]]: ~78125/50421 = 1\2, ~27/25 = 140.624


{{Optimal ET sequence|legend=1| 8, 26, 34, 94, 128 }}
{{Optimal ET sequence|legend=1| 8, 18bc, 26, 34, 94, 128 }}


[[Badness]]: 0.205812
[[Badness]]:
 
* Smith: 0.205812
Dirichlet badness: 4.828
* Dirichlet: 4.828


=== 2.3.5.13 subgroup ===
=== 2.3.5.13 subgroup ===
Subgroup: 2.3.5.13


[[Subgroup]]: 2.3.5.13
Comma list: 325/324, 20000/19773


[[Comma list]]: 9765625/9565938, 325/324
Mapping: {{mapping| 2 2 3 6 | 0 5 7 6 }}
 
{{Mapping|legend=1| 2 2 3 6 | 0 5 7 6 }}


: mapping generators: ~351/250, ~13/12
: mapping generators: ~351/250, ~13/12


[[Optimal tuning]] ([[CWE]]): ~351/250 = 1\2, ~13/12 = 140.623
Optimal tunings:
* CTE: ~351/250 = 1\2, ~13/12 = 140.5685
* CWE: ~351/250 = 1\2, ~13/12 = 140.6232


[[Patent val]] EDO tunings: 8, 26, 34, 60, 68, 94, 128
Optimal ET sequence: {{Optimal ET sequence| 8, 18bcf, 26, 34, 94, 128 }}


Dirichlet badness: 0.800
Badness:
* Smith: 0.0240
* Dirichlet: 0.800


=== 2.3.5.13.17 subgroup ===
=== 2.3.5.13.17 subgroup ===
Subgroup: 2.3.5.13.17


[[Subgroup]]: 2.3.5.13.17
Comma list: 170/169, 289/288, 325/324
 
[[Comma list]]: 9765625/9565938, 325/324, 289/288


{{Mapping|legend=1| 2 2 3 6 7 | 0 5 7 6 5 }}
Mapping: {{mapping| 2 2 3 6 7 | 0 5 7 6 5 }}


: mapping generators: ~17/12, ~13/12
: mapping generators: ~17/12, ~13/12


[[Optimal tuning]] ([[CWE]]): ~17/12 = 1\2, ~13/12 = 140.606
Optimal tunings:
* CTE: ~17/12 = 1\2, ~13/12 = 140.5958
* CWE: ~17/12 = 1\2, ~13/12 = 140.6057


[[Patent val]] EDO tunings: 8, 26, 34, 60, 68, 94, 128
Optimal ET sequence: {{Optimal ET sequence| 8, 18bcfg, 26, 34, 94, 128 }}


Dirichlet badness: 0.488  
Badness:
* Smith: 0.0110
* Dirichlet: 0.488


== Crepuscular ==
== Crepuscular ==