Keemic family: Difference between revisions
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== Supermagic == | == Supermagic == | ||
Supermagic has the same lattice structure as 5-limit JI, and 7/4 is found by a stack of three ~6/5's. | Supermagic has the same lattice structure as [[5-limit]] JI, and [[7/4]] is found by a stack of three [[~]][[6/5]]'s. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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{{See also| Ptolemismic clan #Supermagic }} | {{See also| Ptolemismic clan #Supermagic }} | ||
Supermagic is naturally an 11-limit temperament due to the identity 875/864 = (100/99)⋅(385/384). This identifies a stack of two ~6/5's as ~16/11. | Supermagic is naturally an [[11-limit]] temperament due to the identity 875/864 = ([[100/99]])⋅([[385/384]]). This identifies a stack of two ~6/5's as ~[[16/11]]. | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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== Supernatural == | == Supernatural == | ||
Supernatural uses the same mapping as 7-limit [[magic]] with an independent generator for prime 11. | Supernatural uses the same mapping as [[7-limit]] [[magic]] with an independent generator for prime 11. | ||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||