Rastmic rank-3 clan: Difference between revisions
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Rewrite intro to better reflect the scope |
m Cleanup |
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| Line 10: | Line 10: | ||
= Parahemif = | = Parahemif = | ||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 243/242, 896/891 | |||
10<sup> | [[Mapping]]: [{{val| 1 1 0 -1 2 }}, {{val| 0 2 0 13 5 }}, {{val| 0 0 1 0 0 }}] | ||
{{Val list|legend=1| 17, 24, 41, 58, 99e, 123 }} | |||
[[Badness]]: 1.34547 × 10<sup>-3</sup> | |||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 144/143, 243/242, 364/363 | |||
Mapping: [{{val| 1 1 0 -1 2 4 }}, {{val| 0 2 0 13 5 -1 }}, {{val| 0 0 1 0 0 0 }}] | |||
{{ | {{Val list|legend=1| 17, 24, 34d, 41, 58, 99ef, 157ef }} | ||
10<sup> | Badness: 1.19366 × 10<sup>-3</sup> | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 08:44, 19 April 2021
This is a miscellaneous collection of rank-3 rastmic temperaments, tempering out the rastma, 243/242. These temperaments divide the fifth in half and use it as an 11/9 neutral third.
Temperaments not listed include:
Parahemif
Subgroup: 2.3.5.7.11
Comma list: 243/242, 896/891
Mapping: [⟨1 1 0 -1 2], ⟨0 2 0 13 5], ⟨0 0 1 0 0]]
Badness: 1.34547 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 243/242, 364/363
Mapping: [⟨1 1 0 -1 2 4], ⟨0 2 0 13 5 -1], ⟨0 0 1 0 0 0]]
Badness: 1.19366 × 10-3