Arcturus clan: Difference between revisions

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These are rank-2 temperaments that temper out the Arcturus comma, 15625/15309 = {{monzo| 0 -7 6 -1 }}.
#redirect [[No-twos subgroup temperaments#Arcturus]]
 
Temperaments dicussed elsewhere include the "yes-twos" temperaments [[Trienstonic clan #Opossum|opossum]], [[Jubilismic clan #Crepuscular|crepuscular]], [[Kleismic family #Catalan|catalan]], [[Tetracot family #Bunya|bunya]], [[Sensamagic clan #Bohpier|bohpier]], and [[Shibboleth family #Superkleismic|superkleismic]].
 
== Arcturus ==
Subgroup: 3.5.7
 
[[Comma list]]: 15625/15309
 
[[Sval]] [[mapping]]: [{{val| 1 0 -7 }}, {{val| 0 1 6 }}]
 
Sval mapping generators: ~3, ~5
 
[[POTE generator]]: ~5/3 = 878.042
 
[[Optimal GPV sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]]
 
== Polturus ==
This extension of Arcturus adds [[Polaris]]'s mapping for [[11/9]], mapping it to 5 generators down.
 
[[Subgroup]]: 3.5.7.11
 
[[Comma list]]: 15625/15309, 177147/171875
 
[[Gencom]]: [3/1 5/3; 15625/15309 177147/171875]
 
[[Mapping]]: [{{val|1 1 -1 5}}, {{val|0 1 6 -6}}]
 
[[POTE generator]]: ~[[5/3]] = 884.268
 
[[EDT]]s: 15, 13[+11], 28[+11], 43[+7, +11]
[[Category:Temperament clans]]
[[Category:Rank 2]]

Latest revision as of 21:34, 26 August 2024