User:VIxen/Sandbox: Difference between revisions

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+wizmic family
 
VIxen (talk | contribs)
+skeetsmic 7-13-limit
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These are rank-3 temperaments tempering out the wizma [[420175/419904]]. For the clan of rank-2 temperaments with this comma, see [[Wizmic microtemperaments]].
= Wizmic family =
 
These are rank-3 temperaments where the wizma [[420175/419904]] is tempered out. For the clan of rank-2 temperaments with this comma, see [[Wizmic microtemperaments]].


== Wizmic ==
== Wizmic ==
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[[Badness]]: 0.867 × 10<sup>-3</sup>
[[Badness]]: 0.867 × 10<sup>-3</sup>


=== 13-limit (alt) ===
=== 13-limit (ibnsinmic) ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
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[[Badness]]: 1.56 × 10<sup>-3</sup>
[[Badness]]: 1.56 × 10<sup>-3</sup>
= Skeetsmic family =
These are rank-3 temperaments where the [[skeetsma]] is tempered out.
== Skeetsmic ==
Subgroup: 2.3.5.7
[[Comma list]]: 14348907/14336000
[[Mapping]]: [{{val| 1 0 0 -14 }}, {{val| 0 1 0 15 }}, {{val| 0 0 1 -3 }}]
Mapping generators: ~2, ~3, ~5
{{Val list|legend=1| 5, 7d, 12d, 39ddd, 44cdd, 46d, 48, 53, 111, 118, 171, 742, 795, 913, 966, 1137, 1308, 2050, 2221, 2392, 3358, 3529, 7229b, 10758bbd }}
[[Badness]]: 0.333 × 10<sup>-3</sup>
== 58 & 224 & 460 ==
{{see also| Kalismic temperaments }}
Subgroup: 2.3.5.7.11
[[Comma list]]: 9801/9800, 1240029/1239040
[[Mapping]]: [{{val| 2 0 1 -28 -25 }}, {{val| 0 1 0 15 13 }}, {{val| 0 0 1 -3 -2 }}]
Mapping generators: ~99/70, ~3, ~5
{{Val list|legend=1| 10c, 12de, 44cddeee, 46de, 48, 58, 106, 118, 224, 342, 742, 966, 1084, 1308, 1650, 2392, 2734, 5126bdb, 6776bd }}
[[Badness]]: 3.2 × 10<sup>-3</sup>
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
[[Comma list]]: 9801/9800, 10648/10647, 59535/59488
[[Mapping]]: [{{val| 2 0 1 -31 -27 -22 }}, {{val| 0 1 0 15 13 11 }}, {{val| 0 0 2 -6 -4 -3 }}]
Mapping generators: ~99/70, ~3, ~220/117
{{Val list|legend=1| 12de, 46def, 58, 166, 224, 460, 684, 1426, 2334, 3076 }}
[[Badness]]: 1.31 × 10<sup>-3</sup>