Gamelismic clan: Difference between revisions

Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
Tags: Mobile edit Mobile web edit
Line 509: Line 509:
{{main| Valentine }}
{{main| Valentine }}
{{see also| Starling temperaments #Valentine }}
{{see also| Starling temperaments #Valentine }}
== 5-limit ==


Subgroup: 2.3.5
Subgroup: 2.3.5
Line 522: Line 520:
{{Val list|legend=1| 15, 31, 46, 77, 123 }}
{{Val list|legend=1| 15, 31, 46, 77, 123 }}


[[Badness]]: 0.1228
[[Badness]]: 0.122765


== 7-limit ==
== 7-limit ==
Line 533: Line 531:


Mapping generators: ~2, ~21/20
Mapping generators: ~2, ~21/20
{{Multival|legend=1| 9 5 -3 -13 -30 -21 }}


[[POTE generator]]: ~21/20 = 77.864
[[POTE generator]]: ~21/20 = 77.864
Line 548: Line 548:
{{Val list|legend=1| 15, 31, 46, 77, 185, 262cd }}
{{Val list|legend=1| 15, 31, 46, 77, 185, 262cd }}


[[Badness]]: 0.0311
[[Badness]]: 0.031056


== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 569: Line 568:
Algebraic generator: positive root of 4''x''<sup>3</sup> + 15''x''<sup>2</sup> - 21, or else Gontrand2, the smallest positive root of 4''x''<sup>7</sup> - 8''x''<sup>6</sup> + 5.
Algebraic generator: positive root of 4''x''<sup>3</sup> + 15''x''<sup>2</sup> - 21, or else Gontrand2, the smallest positive root of 4''x''<sup>7</sup> - 8''x''<sup>6</sup> + 5.


{{Val list|legend=1| 15, 31, 46, 77, 262cdee, 339cdeee }}
Vals: {{Val list| 15, 31, 46, 77, 262cdee, 339cdeee }}


Badness: 0.0167
Badness: 0.016687
 
=== Dwynwen ===


== Dwynwen ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 583: Line 581:
POTE generator: ~21/20 = 78.219
POTE generator: ~21/20 = 78.219


{{Val list|legend=1| 15, 31f, 46 }}
Vals: {{Val list| 15, 31f, 46 }}


Badness: 0.0235
Badness: 0.023461
 
=== Lupercalia ===


== Lupercalia ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 597: Line 594:
POTE generator: ~21/20 = 77.709
POTE generator: ~21/20 = 77.709


{{Val list|legend=1| 15, 31, 77ff, 108eff, 139efff }}
Vals: {{Val list| 15, 31, 77ff, 108eff, 139efff }}


Badness: 0.0213
Badness: 0.021328
 
=== Valentino ===


== Valentino ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 611: Line 607:
POTE generator: ~21/20 = 77.958
POTE generator: ~21/20 = 77.958


{{Val list|legend=1| 15f, 31, 46, 77, 431ccdeeeef }}
Vals: {{Val list| 15f, 31, 46, 77 }}
 
Badness: 0.0207


=== Semivalentine ===
Badness: 0.020665


== Semivalentine ==
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 625: Line 620:
POTE generator: ~21/20 = 77.839
POTE generator: ~21/20 = 77.839


{{Val list|legend=1| 16, 30, 46, 62, 108ef }}
Vals: {{Val list| 16, 30, 46, 62, 108ef }}


Badness: 0.0327
Badness: 0.032749


= Unidec =
= Unidec =