Rastmic rank three clan: Difference between revisions
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Tempering out the rastma, [[243/242]], leads to temperaments which divide the fifth in half and use it as an [[11/9]] neutral third. Temperaments not listed include [[ | Tempering out the rastma, [[243/242]], leads to temperaments which divide the fifth in half and use it as an [[11/9]] neutral third. Temperaments not listed include [[Breed family #Jove|jove]], [[Marvel family #Spectacle|spectacle]], [[Marvel family #Mirage|mirage]], [[Mirwomo family #Mirwomo|mirwomo]], [[Valinorismic temperaments #Mandos|mandos]] and [[Cataharry family #Hagrid|hagrid]]. | ||
=Parahemif= | = Parahemif = | ||
Commas: 243/242, 896/891 | Commas: 243/242, 896/891 | ||
Map: [<1 1 0 -1 2|, <0 2 0 13 5|, <0 0 1 0 0|] | Map: [<1 1 0 -1 2|, <0 2 0 13 5|, <0 0 1 0 0|] | ||
EDOs | {{EDOs|legend=1| 17, 24, 41, 58, 99f, 123 }} | ||
10 | 10<sup>5</sup> × badness: 134.547 | ||
==13-limit== | == 13-limit == | ||
Commas: 144/143, 243/242, 364/363 | Commas: 144/143, 243/242, 364/363 | ||
Map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|, <0 0 1 0 0 0|] | Map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|, <0 0 1 0 0 0|] | ||
EDOs | {{EDOs|legend=1| 17, 24, 34d, 41, 58, 99ef, 157ef }} | ||
10 | 10<sup>5</sup> × badness: 119.366 | ||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament clan]] | [[Category:Temperament clan]] | ||
[[Category:Rastmic]] | [[Category:Rastmic]] | ||
[[Category:Rank 3]] | |||
Revision as of 06:22, 12 January 2021
Tempering out the rastma, 243/242, leads to temperaments which divide the fifth in half and use it as an 11/9 neutral third. Temperaments not listed include jove, spectacle, mirage, mirwomo, mandos and hagrid.
Parahemif
Commas: 243/242, 896/891
Map: [<1 1 0 -1 2|, <0 2 0 13 5|, <0 0 1 0 0|]
EDOs: 17, 24, 41, 58, 99f, 123
105 × badness: 134.547
13-limit
Commas: 144/143, 243/242, 364/363
Map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|, <0 0 1 0 0 0|]
EDOs: 17, 24, 34d, 41, 58, 99ef, 157ef
105 × badness: 119.366