Tolermic family: Difference between revisions

m Cleanup
No need to keep a family for a single extension
Tag: New redirect
Line 1: Line 1:
These temper out the tolerma, 179200/177147 = {{Monzo| 10 -11 2 1 }}.
#redirect [[Pentacircle temperaments #Tolerant]]
 
== Tolerant ==
Subgroup: 2.3.5.7
 
[[Comma list]]: 179200/177147
 
[[Mapping]]: [{{val| 1 0 0 -10 }}, {{val| 0 1 0 11 }}, {{val| 0 0 1 -2 }}]
 
{{Val list|legend=1| 41, 80, 87, 121, 167, 208, 329b, 375b, 537b, 583b, 704bd }}
 
[[Badness]]: 0.165 × 10<sup>-3</sup>
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 896/891, 2200/2187
 
Mapping: [{{val| 1 0 0 -10 -3 }}, {{val| 0 1 0 11 7 }}, {{val| 0 0 1 -2 -2 }}]
 
Vals: {{Val list| 41, 80, 87, 121, 167, 208, 334be, 375be, 542bce }}
 
Badness: 1.039 × 10<sup>-3</sup>
 
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 325/324, 352/351, 364/363
 
Mapping: [{{val| 1 0 0 -10 -3 2 }}, {{val| 0 1 0 11 7 4 }}, {{val| 0 0 1 -2 -2 -2 }}]
 
Vals: {{Val list| 41, 46, 80, 87, 121, 167, 208, 375be, 583bef }}
 
Badness: 1.021 × 10<sup>-3</sup>
 
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 256/255, 325/324, 352/351, 364/363
 
Mapping: [{{val| 1 0 0 -10 -3 2 8 }}, {{val| 0 1 0 11 7 4 -1 }}, {{val| 0 0 1 -2 -2 -2 -1 }}]
 
Vals: {{Val list| 41, 46, 75e, 80, 87, 121, 167, 288beg }}
 
Badness: 0.982 × 10<sup>-3</sup>
 
[[Category:Regular temperament theory]]
[[Category:Temperament family]]
[[Category:Tolerant]]
[[Category:Rank 3]]