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User:Recentlymaterialized/Miscellaneous rank-2 temperaments: Difference between revisions

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{{Optimal ET sequence|legend=1|27e, 60e, 87}} (idk how to calculate this)
{{Optimal ET sequence|legend=1|27e, 60e, 87}} (idk how to calculate this)


Badness: 1.058 (Sintel)
Badness (Dirichlet): 1.058


== 130 & 181 ==
== 130 & 181 ==
Line 30: Line 30:
{{Optimal ET sequence|legend=1|130, 441, maybe 571, 1012, sorry idk}}
{{Optimal ET sequence|legend=1|130, 441, maybe 571, 1012, sorry idk}}


Badness: 0.477 (Sintel)
Badness (Dirichlet): 0.477


=== 13-limit ===
=== 13-limit ===
Line 46: Line 46:
{{Optimal ET sequence|legend=1|130, 311, 441, idk}}
{{Optimal ET sequence|legend=1|130, 311, 441, idk}}


Badness: 0.897 (Sintel)
Badness (Dirichlet): 0.897
 
== Badtone (31 & 67) ==
 
Subgroup: 2.3.5.7.11.13
 
Comma list: [[81/80]], [[144/143]], [[176/175]], [[196/195]]
 
Mapping: [{{val|1 1 0 3 -1 7}}, {{val|0 3 12 -1 23 -17}}]
 
{{Optimal ET sequence|legend=1|31, 67, 98}}
 
Errors (WE): -0.065{{cent}}, -4.138{{cent}}, 5.216{{cent}}, -1.649{{cent}}, -0.821{{cent}}, 4.348{{cent}}
 
Badness (Dirichlet): 1.523


== Worsetone (12f & 67) ==
== Worsetone (12f & 67) ==
Line 89: Line 103:
Errors (WE): −0.21{{cent}}, −3.81{{cent}}, +7.11{{cent}}, −2.89{{cent}}, +2.3{{cent}}, −0.65{{cent}}
Errors (WE): −0.21{{cent}}, −3.81{{cent}}, +7.11{{cent}}, −2.89{{cent}}, +2.3{{cent}}, −0.65{{cent}}


Badness: 2.041 (Sintel)
Badness (Dirichlet): 2.041
 
=== 2.3.7.11.13(.17.19).23.31.37.41 subgroup ===
 
Comma list: [[287/286]], [[297/296]], [[364/363]], [[483/481]], [[621/616]], [[3627/3626]], [[4797/4774]], ([[153/152]], [[273/272]])
 
Mapping: [{{val|1 1 0 -10 -14 -19 (-32 -33) -24 -16 -14 -22}}, {{val|0 1 4 22 30 39 (62 64) 49 36 33 47}}]
 
Generator tunings (no-17 no-19):
 
: {| class="wikitable right-1"
|-
!
! [[Minimax-lils-S|Weil]]
! [[TOP|Tenney]]
! [[WE]]
! [[TE]]
|-
| [[Optimization|Optimized]]
|
|
| 1200.984, 698.956
| 1200.9879, 698.9583
|-
| [[Constrained_tuning|Constrained]]
|
|
| 1\1, 698.420
| 1\1, 698.496
|-
| [[POTE|Destretched]]
|
|
| 1\1, 698.3833
| 1\1, 698.3833
|}
 
{{Optimal ET sequence|legend=1|12f, 55f, 67, 122(g)ilm}} <!-- 311bddf(gg)ikllmm is not a GPV -->
 
Errors (WE): 0.984{{cent}}, -2.015{{cent}}, -1.635{{cent}}, 3.585{{cent}}, 0.059{{cent}}, (-1.174{{cent}}, 3.197{{cent}}), -3.048{{cent}}, 1.635{{cent}}, 0.427{{cent}}, 0.220{{cent}}
 
Badness (Dirichlet): 1.075 (1.353)
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